167,224 results
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2. A Feynman–Kac approach to a paper of Chung and Feller on fluctuations in the coin-tossing game
- Author
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Sergio Grunbaum and F alberto Grunbaum
- Subjects
Discrete mathematics ,symbols.namesake ,Coin flipping ,Applied Mathematics ,General Mathematics ,symbols ,Feynman diagram ,Mathematics - Abstract
A classical result of K. L. Chung and W. Feller deals with the partial sums S k S_k arising in a fair coin-tossing game. If N n N_n is the number of “positive” terms among S 1 S_1 , S 2 S_2 , …, S n S_n then the quantity P ( N 2 n = 2 r ) P(N_{2n} = 2r) takes an elegant form. We lift the restriction on an even number of tosses and give a simple expression for P ( N 2 n + 1 = r ) P(N_{2n+1} = r) , r = 0 r = 0 , 1 1 , 2 2 , …, 2 n + 1 2n+1 . We get to this ansatz by adaptating the Feynman–Kac methodology.
- Published
- 2022
3. Social and content aware One-Class recommendation of papers in scientific social networks.
- Author
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Wang, Gang, He, XiRan, and Ishuga, Carolyne Isigi
- Subjects
INFORMATION technology ,SOCIAL networks ,SPARSE graphs ,HYBRID computers (Computer architecture) ,HYBRID power systems - Abstract
With the rapid development of information technology, scientific social networks (SSNs) have become the fastest and most convenient way for researchers to communicate with each other. Many published papers are shared via SSNs every day, resulting in the problem of information overload. How to appropriately recommend personalized and highly valuable papers for researchers is becoming more urgent. However, when recommending papers in SSNs, only a small amount of positive instances are available, leaving a vast amount of unlabelled data, in which negative instances and potential unseen positive instances are mixed together, which naturally belongs to One-Class Collaborative Filtering (OCCF) problem. Therefore, considering the extreme data imbalance and data sparsity of this OCCF problem, a hybrid approach of Social and Content aware One-class Recommendation of Papers in SSNs, termed SCORP, is proposed in this study. Unlike previous approaches recommended to address the OCCF problem, social information, which has been proved playing a significant role in performing recommendations in many domains, is applied in both the profiling of content-based filtering and the collaborative filtering to achieve superior recommendations. To verify the effectiveness of the proposed SCORP approach, a real-life dataset from CiteULike was employed. The experimental results demonstrate that the proposed approach is superior to all of the compared approaches, thus providing a more effective method for recommending papers in SSNs. [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF
4. Remarks on a recent paper titled: 'On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces'
- Author
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Charles E. Chidume
- Subjects
Pure mathematics ,Smoothness (probability theory) ,Applied Mathematics ,lcsh:Mathematics ,Banach space ,Hilbert space ,Regular polygon ,010103 numerical & computational mathematics ,Fixed point ,lcsh:QA1-939 ,01 natural sciences ,Opial property ,010101 applied mathematics ,symbols.namesake ,Accretive ,Uniformly smooth ,Common fixed point ,symbols ,Discrete Mathematics and Combinatorics ,0101 mathematics ,Constant (mathematics) ,Analysis ,Mathematics - Abstract
In a recently published theorem on the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings, Tang et al. (J. Inequal. Appl. 2015:305, 2015) studied a uniformly convex and 2-uniformly smooth real Banach space with the Opial property and best smoothness constant κ satisfying the condition $0 0 < κ < 1 2 , as a real Banach space more general than Hilbert spaces. A well-known example of a uniformly convex and 2-uniformly smooth real Banach space with the Opial property is $E=l_{p}$ E = l p , $2\leq p 2 ≤ p < ∞ . It is shown in this paper that, if κ is the best smoothness constant of E and satisfies the condition $0 0 < κ ≤ 1 2 , then E is necessarily $l_{2}$ l 2 , a real Hilbert space. Furthermore, some important remarks concerning the proof of this theorem are presented.
- Published
- 2021
5. Multivariate extremes and max-stable processes: discussion of the paper by Zhengjun Zhang
- Author
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R. L. Smith
- Subjects
Statistics and Probability ,Multivariate statistics ,Computational Theory and Mathematics ,Applied Mathematics ,Maximum likelihood ,Zhàng ,Context (language use) ,Statistics, Probability and Uncertainty ,Extreme value theory ,Mathematical economics ,Analysis ,Mathematics - Abstract
This discussion reviews the paper by Zhengjun Zhang in the context of broader research on multivariate extreme value theory and max-stable processes.
- Published
- 2021
6. Ramsey, Paper, Scissors
- Author
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Jacob Fox, Xiaoyu He, and Yuval Wigderson
- Subjects
Computer Science::Computer Science and Game Theory ,Applied Mathematics ,General Mathematics ,Combinatorial game theory ,0102 computer and information sciences ,01 natural sciences ,Computer Graphics and Computer-Aided Design ,Upper and lower bounds ,Combinatorics ,010201 computation theory & mathematics ,TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY ,FOS: Mathematics ,Mathematics - Combinatorics ,Graph (abstract data type) ,Combinatorics (math.CO) ,Ramsey's theorem ,Null graph ,Software ,MathematicsofComputing_DISCRETEMATHEMATICS ,Mathematics ,Independence number - Abstract
We introduce a graph Ramsey game called Ramsey, Paper, Scissors. This game has two players, Proposer and Decider. Starting from an empty graph on $n$ vertices, on each turn Proposer proposes a potential edge and Decider simultaneously decides (without knowing Proposer's choice) whether to add it to the graph. Proposer cannot propose an edge which would create a triangle in the graph. The game ends when Proposer has no legal moves remaining, and Proposer wins if the final graph has independence number at least $s$. We prove a threshold phenomenon exists for this game by exhibiting randomized strategies for both players that are optimal up to constants. Namely, there exist constants $0B\sqrt{n}\log{n}$. This is a factor of $\Theta(\sqrt{\log{n}})$ larger than the lower bound coming from the off-diagonal Ramsey number $r(3,s)$.
- Published
- 2020
7. Quantifying the impact of scholarly papers based on higher-order weighted citations.
- Author
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Bai, Xiaomei, Zhang, Fuli, Hou, Jie, Lee, Ivan, Kong, Xiangjie, Tolba, Amr, and Xia, Feng
- Subjects
CITATION analysis ,SCHOLARLY publishing ,BIBLIOMETRICS ,SIMULATION methods & models ,ALGORITHMS - Abstract
Quantifying the impact of a scholarly paper is of great significance, yet the effect of geographical distance of cited papers has not been explored. In this paper, we examine 30,596 papers published in Physical Review C, and identify the relationship between citations and geographical distances between author affiliations. Subsequently, a relative citation weight is applied to assess the impact of a scholarly paper. A higher-order weighted quantum PageRank algorithm is also developed to address the behavior of multiple step citation flow. Capturing the citation dynamics with higher-order dependencies reveals the actual impact of papers, including necessary self-citations that are sometimes excluded in prior studies. Quantum PageRank is utilized in this paper to help differentiating nodes whose PageRank values are identical. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
8. On the Paper 'On hyperideals of ordered semihypergroups' by ZeGu in Ital. J. Pure Appl. Math
- Author
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Niovi Kehayopulu
- Subjects
Statistics and Probability ,Numerical Analysis ,Lemma (mathematics) ,Pure mathematics ,Algebra and Number Theory ,Corollary ,Applied Mathematics ,Semiprime ,Ideal (order theory) ,Geometry and Topology ,Prime (order theory) ,Theoretical Computer Science ,Mathematics - Abstract
Giving the proper citations, it is shown that, except of Lemma 2.4 and Theorem 2.6, almost all the results of the paper in the title have been previously published for ordered hypersemigroups in Eur. J. Pure Appl. Math. and they are not new. There are also two results obtained from ordered semigroups just putting a ``$\circ$" instead of ``$\cdot$" (that isn't a correct way to work), without reference to ordered semigroups on which the results on ordered hypersemigroups are based. One of them can be obtained as corollary to a theorem in Eur. J. Pure Appl. Math. as well, and it is not new.
- Published
- 2019
9. Physics driven behavioural clustering of free-falling paper shapes
- Author
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Fumiya Iida, Toby Howison, Josie Hughes, Fabio Giardina, Howison, Toby [0000-0001-8548-5550], Iida, Fumiya [0000-0001-9246-7190], and Apollo - University of Cambridge Repository
- Subjects
Inertia ,Physiology ,Physical system ,Social Sciences ,computer.software_genre ,Systems Science ,01 natural sciences ,010305 fluids & plasmas ,Physical Phenomena ,Physical phenomena ,Medicine and Health Sciences ,Psychology ,Cluster Analysis ,Moment of Inertia ,Multidisciplinary ,Applied Mathematics ,Simulation and Modeling ,theoretical model ,article ,Classical Mechanics ,Dynamical Systems ,Variety (cybernetics) ,Free falling ,machine learning ,Physical Sciences ,Medicine ,physics ,Algorithms ,Research Article ,Paper ,Computer and Information Sciences ,Reynolds Number ,Science ,Fluid Mechanics ,Research and Analysis Methods ,Machine learning ,Continuum Mechanics ,Motion ,Machine Learning Algorithms ,Artificial Intelligence ,0103 physical sciences ,010306 general physics ,Set (psychology) ,Cluster analysis ,Behavior ,Biological Locomotion ,business.industry ,Biology and Life Sciences ,Fluid Dynamics ,Models, Theoretical ,Nonlinear Dynamics ,Artificial intelligence ,business ,computer ,Mathematics - Abstract
Many complex physical systems exhibit a rich variety of discrete behavioural modes. Often, the system complexity limits the applicability of standard modelling tools. Hence, understanding the underlying physics of different behaviours and distinguishing between them is challenging. Although traditional machine learning techniques could predict and classify behaviour well, typically they do not provide any meaningful insight into the underlying physics of the system. In this paper we present a novel method for extracting physically meaningful clusters of discrete behaviour from limited experimental observations. This method obtains a set of physically plausible functions that both facilitate behavioural clustering and aid in system understanding. We demonstrate the approach on the V-shaped falling paper system, a new falling paper type system that exhibits four distinct behavioural modes depending on a few morphological parameters. Using just 49 experimental observations, the method discovered a set of candidate functions that distinguish behaviours with an error of 2.04%, while also aiding insight into the physical phenomena driving each behaviour. © 2019 Howison et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
- Published
- 2019
10. Some comments on Chen Xu, Mengmei Xi, Xuejun Wang and Hao Xia's paper 'L^r convergence for weighted sums of extended negatively dependent random variables'
- Author
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da Silva and João Lita
- Subjects
Discrete mathematics ,L(R) ,Chen ,biology ,Convergence of random variables ,Applied Mathematics ,General Mathematics ,Dependent random variables ,Convergence (routing) ,biology.organism_classification ,Mathematics - Abstract
This work is a contribution to the Project UIDB/04035/2020, funded by FCT - Fundacao para a Ciencia e a Tecnologia, Portugal.
- Published
- 2020
11. Special issue: Selected papers of CMMSE
- Author
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Jorge Eduardo Macías-Díaz, Raquel Garcia-Rubio, and Jesús Vigo-Aguiar
- Subjects
Computational Mathematics ,Applied Mathematics ,Mathematics education ,Mathematics - Published
- 2019
12. Learning regularization parameters of inverse problems via deep neural networks:Paper
- Author
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Julianne Chung, Matthias Chung, and Babak Maboudi Afkham
- Subjects
FOS: Computer and information sciences ,Computer Science - Machine Learning ,Bilevel optimization ,010103 numerical & computational mathematics ,01 natural sciences ,Regularization (mathematics) ,Theoretical Computer Science ,Machine Learning (cs.LG) ,Bayes' theorem ,Design objective ,Deep neural networks ,Regularization ,FOS: Mathematics ,Mathematics - Numerical Analysis ,0101 mathematics ,Representation (mathematics) ,Mathematical Physics ,Mathematics ,Applied Mathematics ,Supervised learning ,Deep learning ,Numerical Analysis (math.NA) ,Inverse problem ,Computer Science Applications ,010101 applied mathematics ,Optimal experimental design ,Signal Processing ,Minification ,Algorithm ,Hyperparameter selection - Abstract
In this work, we describe a new approach that uses deep neural networks (DNN) to obtain regularization parameters for solving inverse problems. We consider a supervised learning approach, where a network is trained to approximate the mapping from observation data to regularization parameters. Once the network is trained, regularization parameters for newly obtained data can be computed by efficient forward propagation of the DNN. We show that a wide variety of regularization functionals, forward models, and noise models may be considered. The network-obtained regularization parameters can be computed more efficiently and may even lead to more accurate solutions compared to existing regularization parameter selection methods. We emphasize that the key advantage of using DNNs for learning regularization parameters, compared to previous works on learning via optimal experimental design or empirical Bayes risk minimization, is greater generalizability. That is, rather than computing one set of parameters that is optimal with respect to one particular design objective, DNN-computed regularization parameters are tailored to the specific features or properties of the newly observed data. Thus, our approach may better handle cases where the observation is not a close representation of the training set. Furthermore, we avoid the need for expensive and challenging bilevel optimization methods as utilized in other existing training approaches. Numerical results demonstrate the potential of using DNNs to learn regularization parameters., 27 pages, 16 figures
- Published
- 2021
13. On the paper 'On an identity for the zeros of Bessel functions' by Baricz et al
- Author
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N. Anghel
- Subjects
Pure mathematics ,Applied Mathematics ,Entire function ,010102 general mathematics ,Order (ring theory) ,Riemann–Stieltjes integral ,Type (model theory) ,01 natural sciences ,symbols.namesake ,Identity (mathematics) ,0103 physical sciences ,symbols ,0101 mathematics ,010306 general physics ,Analysis ,Bessel function ,Mathematics - Abstract
In this note we offer some criticism on the paper “On an identity for zeros of Bessel functions” by Baricz et al. [3] . The paper gives identities of type Stieltjes–Calogero for the sums of reciprocals of differences of fourth powers of zeros of Bessel functions. Although interesting in principle, by containing one too many sums of similar complexity the identities fail to convey the true spirit of the work of Stieltjes and Calogero. We rectify this by providing what we think is the correct type of identity for the above-said sums, in the general setup of entire functions of order
- Published
- 2018
14. Pride and Passion: Remarks on Thomas L. Saaty’s Final Papers
- Author
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Barış Kiremitci and Eyüp Çetin
- Subjects
Statistics and Probability ,Numerical Analysis ,Pride ,Algebra and Number Theory ,business.industry ,Applied Mathematics ,media_common.quotation_subject ,Analytic network process ,Life satisfaction ,Analytic hierarchy process ,Passion ,Theoretical Computer Science ,Management ,Analytics ,Publishing ,Honor ,Geometry and Topology ,business ,media_common ,Mathematics - Abstract
Thomas L. Saaty, a world-renowned scholar and our beloved Advisory Editor, passed away on August 14, 2017 at the age of 91.  He has made many fundamental contributions to operations research, analytics, business and mathematics. Despite his heavy illness for 14 months, as passionate about science, he has also enthusiastically published his research. We review his final works published in 2017 and 2018. We are also honored to reveal and publish his final statements on neural firing and synthesis in making comparisons & life satisfaction, respectively, in his final two papers; the previous one submitted by him just before his passing and the other one submitted by his co-authors after his death to European Journal of Pure and Applied Mathematics (EJPAM).We just would like to remember and honor Saaty’s memory by publishing his final papers at EJPAM and this humble remarks dedicated to the memory of Thomas L. Saaty on the occasion of the first anniversary of his passing, August 14, 2018.
- Published
- 2018
15. A Note on the Paper 'Optimality Conditions for Vector Optimization Problems with Difference of Convex Maps'
- Author
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Farid Bozorgnia and Allahkaram Shafie
- Subjects
Discrete mathematics ,021103 operations research ,Control and Optimization ,Applied Mathematics ,0211 other engineering and technologies ,Regular polygon ,010103 numerical & computational mathematics ,02 engineering and technology ,Management Science and Operations Research ,Mathematical proof ,01 natural sciences ,Functional Analysis (math.FA) ,Mathematics - Functional Analysis ,Vector optimization ,TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES ,Metrization theorem ,Theory of computation ,FOS: Mathematics ,0101 mathematics ,Mathematics ,Vector space ,Counterexample - Abstract
In this work, some counterexamples are given to refute some results reported in the paper by Guo and Li [8] (J Optim Theory Appl 162,(2014), 821-844). We correct the faulty in some of their theorems and we present alternative proofs. Moreover, we extend the definition of approximately pseudo-dissipative in the setting of metrizable topological vector spaces.
- Published
- 2019
16. Critical perspectives on provable security: Fifteen years of 'another look' papers
- Author
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Neal Koblitz and Alfred Menezes
- Subjects
Provable security ,Algebra and Number Theory ,Computer Networks and Communications ,business.industry ,Applied Mathematics ,020206 networking & telecommunications ,Subject (documents) ,Cryptography ,0102 computer and information sciences ,02 engineering and technology ,Computer security ,computer.software_genre ,Mathematical proof ,01 natural sciences ,Microbiology ,010201 computation theory & mathematics ,0202 electrical engineering, electronic engineering, information engineering ,Discrete Mathematics and Combinatorics ,business ,computer ,Mathematics - Abstract
We give an overview of our critiques of "proofs" of security and a guide to our papers on the subject that have appeared over the past decade and a half. We also provide numerous additional examples and a few updates and errata.
- Published
- 2019
17. The contribution of cause-effect link to representing the core of scientific paper—The role of Semantic Link Network.
- Author
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Cao, Mengyun, Sun, Xiaoping, and Zhuge, Hai
- Subjects
COMPLEXITY (Philosophy) ,CAUSATION (Philosophy) ,SEMANTICS ,RESEARCH ,PHILOSOPHY - Abstract
The Semantic Link Network is a general semantic model for modeling the structure and the evolution of complex systems. Various semantic links play different roles in rendering the semantics of complex system. One of the basic semantic links represents cause-effect relation, which plays an important role in representation and understanding. This paper verifies the role of the Semantic Link Network in representing the core of text by investigating the contribution of cause-effect link to representing the core of scientific papers. Research carries out with the following steps: (1) Two propositions on the contribution of cause-effect link in rendering the core of paper are proposed and verified through a statistical survey, which shows that the sentences on cause-effect links cover about 65% of key words within each paper on average. (2) An algorithm based on syntactic patterns is designed for automatically extracting cause-effect link from scientific papers, which recalls about 70% of manually annotated cause-effect links on average, indicating that the result adapts to the scale of data sets. (3) The effects of cause-effect link on four schemes of incorporating cause-effect link into the existing instances of the Semantic Link Network for enhancing the summarization of scientific papers are investigated. The experiments show that the quality of the summaries is significantly improved, which verifies the role of semantic links. The significance of this research lies in two aspects: (1) it verifies that the Semantic Link Network connects the important concepts to render the core of text; and, (2) it provides an evidence for realizing content services such as summarization, recommendation and question answering based on the Semantic Link Network, and it can inspire relevant research on content computing. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF
18. A Generalized Zero-Forcing Precoder with Successive Dirty-Paper Coding in MISO Broadcast Channels
- Author
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Sha Hu and Fredrik Rusek
- Subjects
Discrete mathematics ,FOS: Computer and information sciences ,Computer Science - Information Theory ,Applied Mathematics ,Information Theory (cs.IT) ,020206 networking & telecommunications ,020302 automobile design & engineering ,02 engineering and technology ,Maximization ,Main diagonal ,Computer Science Applications ,symbols.namesake ,0203 mechanical engineering ,Broadcast channels ,Lagrange multiplier ,0202 electrical engineering, electronic engineering, information engineering ,Zero Forcing Equalizer ,symbols ,Dirty paper coding ,Electrical and Electronic Engineering ,Mathematics ,Coding (social sciences) ,Communication channel - Abstract
In this paper, we consider precoder designs for multiuser multiple-input-single-output (MISO) broadcasting channels. Instead of using a traditional linear zero-forcing (ZF) precoder, we propose a generalized ZF (GZF) precoder in conjunction with successive dirty-paper coding (DPC) for data-transmissions, namely, the GZF-DP precoder, where the suffix \lq{}DP\rq{} stands for \lq{}dirty-paper\rq{}. The GZF-DP precoder is designed to generate a band-shaped and lower-triangular effective channel $\vec{F}$ such that only the entries along the main diagonal and the $\nu$ first lower-diagonals can take non-zero values. Utilizing the successive DPC, the known non-causal inter-user interferences from the other (up to) $\nu$ users are canceled through successive encoding. We analyze optimal GZF-DP precoder designs both for sum-rate and minimum user-rate maximizations. Utilizing Lagrange multipliers, the optimal precoders for both cases are solved in closed-forms in relation to optimal power allocations. For the sum-rate maximization, the optimal power allocation can be found through water-filling, but with modified water-levels depending on the parameter $\nu$. While for the minimum user-rate maximization that measures the quality of the service (QoS), the optimal power allocation is directly solved in closed-form which also depends on $\nu$. Moreover, we propose two low-complexity user-ordering algorithms for the GZF-DP precoder designs for both maximizations, respectively. We show through numerical results that, the proposed GZF-DP precoder with a small $\nu$ ($\leq\!3$) renders significant rate increments compared to the previous precoder designs such as the linear ZF and user-grouping based DPC (UG-DP) precoders., Comment: 31 pages, 13 figures, submitted to IEEE Transactions on Wireless Communications in Aug. 2016
- Published
- 2017
- Full Text
- View/download PDF
19. Comments on Paper 'On the Relation Between Two Approaches to Necessary Optimality Conditions in Problems with State Constraints'
- Author
-
Dmitry Karamzin
- Subjects
0209 industrial biotechnology ,021103 operations research ,Control and Optimization ,Relation (database) ,Applied Mathematics ,0211 other engineering and technologies ,Subject (philosophy) ,02 engineering and technology ,State (functional analysis) ,Management Science and Operations Research ,Optimal control ,020901 industrial engineering & automation ,Maximum principle ,Theory of computation ,Mathematical economics ,Mathematics - Abstract
This Forum Note concerns the question of necessary optimality conditions in optimal control problems subject to state constraints. Some critical remarks about a recently published paper are made.
- Published
- 2018
20. Physics driven behavioural clustering of free-falling paper shapes.
- Author
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Howison, Toby, Hughes, Josie, Giardina, Fabio, and Iida, Fumiya
- Subjects
- *
PHYSICS , *SET functions , *MACHINE learning , *PHENOMENOLOGICAL theory (Physics) , *CONTINUUM mechanics - Abstract
Many complex physical systems exhibit a rich variety of discrete behavioural modes. Often, the system complexity limits the applicability of standard modelling tools. Hence, understanding the underlying physics of different behaviours and distinguishing between them is challenging. Although traditional machine learning techniques could predict and classify behaviour well, typically they do not provide any meaningful insight into the underlying physics of the system. In this paper we present a novel method for extracting physically meaningful clusters of discrete behaviour from limited experimental observations. This method obtains a set of physically plausible functions that both facilitate behavioural clustering and aid in system understanding. We demonstrate the approach on the V-shaped falling paper system, a new falling paper type system that exhibits four distinct behavioural modes depending on a few morphological parameters. Using just 49 experimental observations, the method discovered a set of candidate functions that distinguish behaviours with an error of 2.04%, while also aiding insight into the physical phenomena driving each behaviour. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF
21. Ten Simple Rules for writing algorithmic bioinformatics conference papers
- Author
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Paul Medvedev
- Subjects
0301 basic medicine ,Computer and Information Sciences ,Computer science ,QH301-705.5 ,Bioinformatics ,Writing ,Gene Identification and Analysis ,Genetic Networks ,Research and Analysis Methods ,Field (computer science) ,03 medical and health sciences ,Cellular and Molecular Neuroscience ,Database and Informatics Methods ,Clustering Algorithms ,0302 clinical medicine ,Computer software ,Genetics ,Humans ,Prototypes ,Biology (General) ,Molecular Biology ,Ecology, Evolution, Behavior and Systematics ,Simple (philosophy) ,Publishing ,Ecology ,Information Dissemination ,Software Tools ,Applied Mathematics ,Simulation and Modeling ,Computational Biology ,Software Engineering ,Biology and Life Sciences ,Congresses as Topic ,030104 developmental biology ,Editorial ,Technology Development ,Computational Theory and Mathematics ,Modeling and Simulation ,Physical Sciences ,Engineering and Technology ,Sequence Analysis ,Sequence Alignment ,030217 neurology & neurosurgery ,Algorithms ,Mathematics ,Network Analysis - Abstract
Author summary Conferences are great venues for disseminating algorithmic bioinformatics results, but they unfortunately do not offer an opportunity to make major revisions in the way that journals do. As a result, it is not possible for authors to fix mistakes that might be easily correctable but nevertheless can cause the paper to be rejected. As a reviewer, I wish that I had the opportunity to tell the authors, “Hey, you forgot to do this really important thing, without which it is hard to accept the paper, but if you could go back and fix it, you might have a great paper for the conference.” This lack of a back and forth can be especially problematic for first-time submitters or those from outside the field, e.g., biologists. In this article, I outline Ten Simple Rules to follow when writing an algorithmic bioinformatics conference paper to avoid having it rejected.
- Published
- 2020
22. Comments on the paper: Bilinear form and exact solutions for a new extended (2 + 1)-dimensional Boussinesq equation by Ping Cui [Results Phys 22 (2021) 103919]
- Author
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Lazhar Bougoffa
- Subjects
010302 applied physics ,Ping (video games) ,Exact solution ,Physics ,QC1-999 ,One-dimensional space ,Hirota bilinear form ,General Physics and Astronomy ,02 engineering and technology ,Bilinear form ,021001 nanoscience & nanotechnology ,01 natural sciences ,Extended (2 + 1)-dimensional Boussinesq equation ,Exact solutions in general relativity ,0103 physical sciences ,Applied mathematics ,0210 nano-technology ,Bilinear Bell polynomial ,Mathematics - Abstract
The purpose of this comment paper is to show that the results of the paper (Cui, 2021) are incorrect.
- Published
- 2021
23. Remarks on two connected papers about Keller–Segel systems with nonlinear production
- Author
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Giuseppe Viglialoro, Tomomi Yokota, and Yuya Tanaka
- Subjects
010101 applied mathematics ,Nonlinear system ,Sublinear function ,Applied Mathematics ,Signal production ,010102 general mathematics ,Applied mathematics ,Production (computer science) ,Nonlinear diffusion ,0101 mathematics ,01 natural sciences ,Analysis ,Mathematics - Abstract
These notes aim to provide a deeper insight on the specifics of two articles dealing with chemotaxis models with nonlinear production. More precisely, we are referring to the papers “Boundedness of solutions to a quasilinear parabolic–parabolic chemotaxis model with nonlinear signal production” by Tao et al. (2019) [2] and “Boundedness for a fully parabolic Keller–Segel model with sublinear segregation and superlinear aggregation” by Frassu and Viglialoro (2021) [1] . These works, independently published in these last years, present results leaving open room for further improvement. Indeed, in the first a gap in the proof of the main claim appears, whereas the cornerstone assumption in the second is not sharp. In these pages we give a more complete picture to the relative underlying comprehension.
- Published
- 2021
24. Response to 'Comments on the paper by B. E. <scp>Grossman‐Ponemon</scp> , L. M. Keer, and A. J. Lew ‘A method to compute mixed‐mode stress intensity factors for nonplanar cracks in three dimensions’ ( Int. J. Numer. Methods Eng ., 2020)'
- Author
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Adrian J. Lew and Benjamin E. Grossman-Ponemon
- Subjects
Numerical Analysis ,Grossman ,Applied Mathematics ,INT ,General Engineering ,Mixed mode ,Stress intensity factor ,Mathematics ,Mathematical physics - Published
- 2021
25. Allowable delay sets for the stability analysis of linear time-varying delay systems using a delay-dependent reciprocally convex lemma * *This paper was supported by the ANR Project SCIDiS, contract number
- Author
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Alexandre Seuret and Frédéric Gouaisbaut
- Subjects
0209 industrial biotechnology ,Linear system ,Stability (learning theory) ,02 engineering and technology ,Function (mathematics) ,Upper and lower bounds ,Stability conditions ,020901 industrial engineering & automation ,Control and Systems Engineering ,0202 electrical engineering, electronic engineering, information engineering ,Applied mathematics ,020201 artificial intelligence & image processing ,Convex combination ,Constant (mathematics) ,Time complexity ,Mathematics - Abstract
This paper addresses the stability analysis of linear systems subject to a time-varying delay. The contribution of this paper is twofolds. First, we aim at presenting a new matrix inequality, which can be seen as an improved version of the reciprocally convex combination, which provides a more accurate delay-dependent lower bound. When gathering this new inequality with the Wirtinger-based integral inequality, efficient stability conditions expressed in terms of LMI are designed and show a clear reduction of the conservatism with a reasonable associated computational cost. The second original contribution of this paper consists in noting that stability conditions issued from the Wirtinger-based integral inequality depends in an affine manner on the bounds of the delay function and also on its derivative. This allows to refine the definition of allowable delay set and to relax usual convex on the delay function. As a result of this new characterization, the LMI conditions allows obtaining stability regions for slow time-varying delay systems which are very closed to the constant delay case.
- Published
- 2017
26. Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
- Author
-
Francesco Salvarani, Nastassia Pouradier Duteil, Sorbonne Université (SU), Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Modelling and Analysis for Medical and Biological Applications (MAMBA), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Dipartimento di matematica F. Casorati, Università degli Studi di Pavia = University of Pavia (UNIPV), Pôle Universitaire Léonard de Vinci (PULV), Work supported by the ANR projects Kimega (ANR-14-ACHN-0030-01, MFG ANR-16-CE40-0015-01) and by the Italian Ministry of Education, University and Research (Dipartimenti di Eccellenzaprogram 2018-2022, Dipartimento di Matematica ’F. Casorati’, Universita degli Studi di Pavia)., ANR-14-ACHN-0030,Kimega,Modélisation cinétique de jeux à champs moyen(2014), ANR-16-CE40-0015,MFG,Jeux Champs Moyen(2016), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Università degli Studi di Pavia, Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), and Università di Pavia
- Subjects
Domain of a function ,0209 industrial biotechnology ,Variables ,Applied Mathematics ,media_common.quotation_subject ,Binary number ,020206 networking & telecommunications ,Rigorous proof ,02 engineering and technology ,16. Peace & justice ,Kinetic energy ,Computational Mathematics ,020901 industrial engineering & automation ,Compact space ,Mathematics - Analysis of PDEs ,0202 electrical engineering, electronic engineering, information engineering ,FOS: Mathematics ,Applied mathematics ,[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] ,Uniqueness ,Collective dynamics ,media_common ,Mathematics ,Analysis of PDEs (math.AP) - Abstract
International audience; This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently we prove the rigorous derivation of the quasi-invariant limit for two meaningful choices of the domain of definition of the independent variables. We notice that the domain of definition of the problem plays a crucial role and heavily influences the behavior of the solution. The rigorous proof of the relaxation limit does not need the use of entropy estimates for ensuring compactness.
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- 2020
27. Mistakes can stabilise the dynamics of rock-paper-scissors games
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Krishnendu Chatterjee, Maria Kleshnina, Jerzy A. Filar, and Sabrina Streipert
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Evolutionary Genetics ,0301 basic medicine ,Computer science ,Population Dynamics ,Social Sciences ,Stable equilibrium ,Cognition ,0302 clinical medicine ,Psychology ,050207 economics ,Biology (General) ,Strategy execution ,0303 health sciences ,Animal Behavior ,Ecology ,Applied Mathematics ,05 social sciences ,Biological Evolution ,Computational Theory and Mathematics ,Dynamics (music) ,Modeling and Simulation ,Physical Sciences ,Probability distribution ,Mathematical economics ,Game theory ,Research Article ,QH301-705.5 ,Decision Making ,Microbiology ,03 medical and health sciences ,Cellular and Molecular Neuroscience ,Game Theory ,0502 economics and business ,Genetics ,Humans ,Animal behavior ,Evolutionary dynamics ,Molecular Biology ,Ecology, Evolution, Behavior and Systematics ,030304 developmental biology ,Behavior ,Evolutionary Biology ,Population Biology ,Cognitive Psychology ,Biology and Life Sciences ,Probability Theory ,Probability Distribution ,Organismal Evolution ,030104 developmental biology ,Microbial Evolution ,Cognitive Science ,Zoology ,Mathematics ,030217 neurology & neurosurgery ,Neuroscience - Abstract
A game of rock-paper-scissors is an interesting example of an interaction where none of the pure strategies strictly dominates all others, leading to a cyclic pattern. In this work, we consider an unstable version of rock-paper-scissors dynamics and allow individuals to make behavioural mistakes during the strategy execution. We show that such an assumption can break a cyclic relationship leading to a stable equilibrium emerging with only one strategy surviving. We consider two cases: completely random mistakes when individuals have no bias towards any strategy and a general form of mistakes. Then, we determine conditions for a strategy to dominate all other strategies. However, given that individuals who adopt a dominating strategy are still prone to behavioural mistakes in the observed behaviour, we may still observe extinct strategies. That is, behavioural mistakes in strategy execution stabilise evolutionary dynamics leading to an evolutionary stable and, potentially, mixed co-existence equilibrium., Author summary A game of rock-paper-scissors is more than just a children’s game. This type of interactions is often used to describe competition among animals or humans. A special feature of such an interaction is that none of the pure strategies dominates, resulting in a cyclic pattern. However, in wild communities such interactions are rarely observed by biologists. Our results suggest that this lack of cyclicity may stem from imperfectness of interacting individuals. In other words, we show analytically that heterogeneity in behavioural patterns may break a cyclic relationship and lead to a stable equilibrium in pure or mixed strategies.
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- 2021
28. A comment about the paper On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation
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Fábio Natali and Renan H. Martins
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Camassa–Holm equation ,Applied Mathematics ,010102 general mathematics ,Mathematical analysis ,Orbital stability ,Space (mathematics) ,01 natural sciences ,Instability ,010101 applied mathematics ,Mathematics - Analysis of PDEs ,Traveling wave ,0101 mathematics ,Analysis ,Energy (signal processing) ,Mathematics - Abstract
We discuss the recent paper by A. Dar\'os and L.K. Arruda (On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation, J. Diff. Equat., 266 (2019), 1946-1968). Our intention is to correct some imperfections left by the authors and present the orbital stability of periodic snoidal waves in the energy space., Comment: 10 pages and 2 figures
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- 2019
29. Reduced linear fractional representation of nonlinear systems for stability analysis ⁎ ⁎The research was partially supported by the grant K115694 of the National Research, Development and Innovation Office - NKFIH. The project has also been supported by the European Union, co-financed by the European Social Fund through the grant EFOP-3.6.3-VEKOP-16-2017-00002. The research leading to the results presented in the paper was supported (also) by the János Bolyai Research Scholarship of the Hungarian Academy of Sciences
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Gábor Szederkényi, Péter Polcz, and Tamás Péni
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Lyapunov stability ,Lyapunov function ,0209 industrial biotechnology ,Stability (learning theory) ,Parameterized complexity ,02 engineering and technology ,Nonlinear system ,symbols.namesake ,020901 industrial engineering & automation ,Control and Systems Engineering ,ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION ,0202 electrical engineering, electronic engineering, information engineering ,symbols ,Algebra representation ,Applied mathematics ,020201 artificial intelligence & image processing ,Representation (mathematics) ,Differential (mathematics) ,Mathematics - Abstract
Based on symbolic and numeric manipulations, a model simplification technique is proposed in this paper for the linear fractional representation (LFR) and for the differential algebraic representation introduced by Trofino and Dezuo (2013). This representation is needed for computational Lyapunov stability analysis of uncertain rational nonlinear systems. The structure of the parameterized rational Lyapunov function is generated from the linear fractional representation (LFR) of the system model. The developed method is briefly compared to the n-D order reduction technique known from the literature. The proposed model transformations does not affect the structure of Lyapunov function candidate, preserves the well-posedness of the LFR and guarantees that the resulting uncertainty block is at most the same dimensional as the initial one. The applicability of the proposed method is illustrated on two examples.
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- 2018
30. Wet paper codes and the dual distance in steganography
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Carlos Munuera, Morgan Barbier, Universidad de Valladolid [Valladolid] (UVa), Algorithmic number theory for cryptology (TANC), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), and This work was supported in part by Junta de CyL under grant VA065A07 and by Spanish Ministry for Science and Technology under grants MTM2007-66842-C02-01 and MTM 2007-64704
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FOS: Computer and information sciences ,Computer Science - Cryptography and Security ,Computer Networks and Communications ,Computer Science - Information Theory ,Microbiology ,Image (mathematics) ,[INFO.INFO-CR]Computer Science [cs]/Cryptography and Security [cs.CR] ,ACM: E.: Data/E.4: CODING AND INFORMATION THEORY/E.4.1: Error control codes ,Distortion ,Discrete Mathematics and Combinatorics ,Steganography ,wet paper codes ,Mathematics ,Algebra and Number Theory ,Information Theory (cs.IT) ,Applied Mathematics ,[MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT] ,Coding theory ,Linear code ,ACM: G.: Mathematics of Computing/G.2: DISCRETE MATHEMATICS/G.2.3: Applications ,dual distance ,[INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT] ,Embedding ,Orthogonal array ,Error detection and correction ,Error-correcting codes ,Cryptography and Security (cs.CR) ,Algorithm - Abstract
In 1998 Crandall introduced a method based on coding theory to secretly embed a message in a digital support such as an image. Later, in 2005, Fridrich et al. improved this method to minimize the distortion introduced by the embedding; a process called wet paper. However, as previously emphasized in the literature, this method can fail during the embedding step. Here we find sufficient and necessary conditions to guarantee a successful embedding, by studying the dual distance of a linear code. Since these results are essentially of combinatorial nature, they can be generalized to systematic codes, a large family containing all linear codes. We also compute the exact number of embedding solutions and point out the relationship between wet paper codes and orthogonal arrays.
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- 2012
31. A Look at Robustness and Stability of $\ell_{1}$-versus $\ell_{0}$-Regularization: Discussion of Papers by Bertsimas et al. and Hastie et al
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Peter Bühlmann, Armeen Taeb, and Yuansi Chen
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Statistics and Probability ,latent variables ,low-rank estimation ,General Mathematics ,Linear model ,020206 networking & telecommunications ,Feature selection ,02 engineering and technology ,Latent variable ,01 natural sciences ,Regularization (mathematics) ,010104 statistics & probability ,0202 electrical engineering, electronic engineering, information engineering ,Applied mathematics ,Distributional robustness ,0101 mathematics ,Statistics, Probability and Uncertainty ,high-dimensional estimation ,Mathematics ,variable selection - Abstract
We congratulate the authors Bertsimas, Pauphilet and van Parys (hereafter BPvP) and Hastie, Tibshirani and Tibshirani (hereafter HTT) for providing fresh and insightful views on the problem of variable selection and prediction in linear models. Their contributions at the fundamental level provide guidance for more complex models and procedures.
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- 2020
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32. A note on paper 'Anomalous relaxation model based on the fractional derivative with a Prabhakarlike kernel' [Z. Angew. Math. Phys. (2019) 70:42]
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Katarzyna Górska, Tibor K. Pogány, and Andrzej Horzela
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Applied Mathematics ,General Mathematics ,Anomalous relaxation ,Colo-Cole model ,Debye relaxation ,Prabhakar function ,Fractional derivative ,General Physics and Astronomy ,FOS: Physical sciences ,Function (mathematics) ,Mathematical Physics (math-ph) ,Lambda ,01 natural sciences ,010305 fluids & plasmas ,Fractional calculus ,Range (mathematics) ,Kernel (algebra) ,0103 physical sciences ,Relaxation (physics) ,Beta (velocity) ,010301 acoustics ,Mathematical Physics ,Mathematics ,Mathematical physics - Abstract
Inspired by the article “Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel” (Z. Angew. Math. Phys. (2019) 70:42) whose authors Zhao and Sun studied the integro-differential equation with the kernel given by the Prabhakar function $$e^{-\gamma }_{\alpha , \beta }(t, \lambda )$$ , we provide the solution to this equation which is complementary to that obtained up to now. Our solution is valid for effective relaxation times whose admissible range extends the limits given in Zhao and Sun (Z Angew Math Phys 70:42, 2019, Theorem 3.1) to all positive values. For special choices of parameters entering the equation itself and/or characterizing the kernel, the solution comprises to known phenomenological relaxation patterns, e.g., to the Cole–Cole model (if $$\gamma = 1, \beta =1-\alpha $$ ) or to the standard Debye relaxation.
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- 2019
33. On the comparison of inventory replenishment policies with time-varying stochastic demand for the paper industry
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David Ciprés, Lorena Polo, and David Escuín
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0209 industrial biotechnology ,Operations research ,Build to order ,Applied Mathematics ,Supply chain ,Time horizon ,010103 numerical & computational mathematics ,02 engineering and technology ,01 natural sciences ,Computational Mathematics ,020901 industrial engineering & automation ,Production planning ,Service level ,Vendor-managed inventory ,Inventory theory ,Perpetual inventory ,0101 mathematics ,Mathematics - Abstract
The aim of this paper is the development of a mathematical model to compute the optimal inventory mix to face stochastic demand at minimum cost in a two-level supply chain. The paper addresses a multi-product dynamic lot-sizing problem under stochastic demand subject to capacity and service level constraints. This model is executed to compare a Make To Order (MTO) strategy to a Vendor Managed Inventory (VMI) partnership between the supplier and their customers. Both strategies provide the demand order to be produced. A schedule of production orders is determined over the planning horizon in order to minimize the inventory holding costs of the supply chain, taking into consideration that the supplier is also responsible of initiating the replenishment orders and deliveries of their customers according to the VMI partnership. The simulation model is illustrated empirically using a real case study: a paper manufacturing company that pursues to improve customer service level and supply chain inventory costs through a proper production planning of their paper machines and a suitable VMI order replenishment schedule.
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- 2017
34. A note on the paper 'The trapezoidal fuzzy soft set and its application in MCDM'
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Nasruddin Hassan and Ahmed Khalil
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0209 industrial biotechnology ,Mathematical optimization ,Fuzzy classification ,Mathematics::General Mathematics ,Astrophysics::High Energy Astrophysical Phenomena ,Applied Mathematics ,Fuzzy set ,02 engineering and technology ,Type-2 fuzzy sets and systems ,Defuzzification ,Algebra ,020901 industrial engineering & automation ,Modeling and Simulation ,0202 electrical engineering, electronic engineering, information engineering ,Fuzzy number ,Fuzzy set operations ,020201 artificial intelligence & image processing ,Membership function ,Mathematics ,Soft set - Abstract
We propose a new concept which is a generalization of fuzzy soft subset and fuzzy soft equal. Using such notions, we will be able to consider the distributive law of fuzzy soft sets. Using the distributive law of fuzzy soft sets, we point out that the distributive law of trapezoidal fuzzy soft sets as proposed by Xiao et al. (2012) is not true. The correction will further improve further extensions of the results of Xiao et al. (2012). We will also establish the generalized distributive law of trapezoidal fuzzy soft sets along with illustrative examples.
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- 2017
35. A trio of heteroclinic bifurcations arising from a model of spatially-extended Rock-Paper-Scissors
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Claire M. Postlethwaite and Alastair M. Rucklidge
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Population ,General Physics and Astronomy ,FOS: Physical sciences ,Pattern Formation and Solitons (nlin.PS) ,01 natural sciences ,symbols.namesake ,0101 mathematics ,education ,Quantitative Biology - Populations and Evolution ,Mathematical Physics ,Saddle ,Mathematics ,Hopf bifurcation ,Equilibrium point ,education.field_of_study ,Partial differential equation ,37G15, 34C37, 37C29, 91A22 ,Applied Mathematics ,010102 general mathematics ,Mathematical analysis ,Ode ,Populations and Evolution (q-bio.PE) ,Heteroclinic cycle ,Statistical and Nonlinear Physics ,Nonlinear Sciences - Pattern Formation and Solitons ,010101 applied mathematics ,Ordinary differential equation ,FOS: Biological sciences ,symbols - Abstract
One of the simplest examples of a robust heteroclinic cycle involves three saddle equilibria: each one is unstable to the next in turn, and connections from one to the next occur within invariant subspaces. Such a situation can be described by a third-order ordinary differential equation (ODE), and typical trajectories approach each equilibrium point in turn, spending progressively longer to cycle around the three points but never stopping. This cycle has been invoked as a model of cyclic competition between populations adopting three strategies, characterised as Rock, Paper and Scissors. When spatial distribution and mobility of the populations is taken into account, waves of Rock can invade regions of Scissors, only to be invaded by Paper in turn. The dynamics is described by a set of partial differential equations (PDEs) that has travelling wave (in one dimension) and spiral (in two dimensions) solutions. In this paper, we explore how the robust heteroclinic cycle in the ODE manifests itself in the PDEs. Taking the wavespeed as a parameter, and moving into a travelling frame, the PDEs reduce to a sixth-order set of ODEs, in which travelling waves are created in a Hopf bifurcation and are destroyed in three different heteroclinic bifurcations, depending on parameters, as the travelling wave approaches the heteroclinic cycle. We explore the three different heteroclinic bifurcations, none of which have been observed in the context of robust heteroclinic cycles previously. These results are an important step towards a full understanding of the spiral patterns found in two dimensions, with possible application to travelling waves and spirals in other population dynamics models., Comment: 36 pages, 8 figures
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- 2019
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36. Discussion on paper ‘On studying extreme values and systematic risks with nonlinear time series models and tail dependence measures’ by Zhengjun Zhang
- Author
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Yongcheng Qi
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Statistics and Probability ,Nonlinear system ,Computational Theory and Mathematics ,Series (mathematics) ,Applied Mathematics ,Zhàng ,Tail dependence ,Statistical physics ,Statistics, Probability and Uncertainty ,Extreme value theory ,Analysis ,Mathematics - Abstract
I would like to take this opportunity to congratulate Zhengjun for his continuing contribution to extreme-value statistics in recent years. In this review paper, some fundamental theories on univar...
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- 2021
37. The contribution of cause-effect link to representing the core of scientific paper—The role of Semantic Link Network
- Author
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Xiaoping Sun, Mengyun Cao, and Hai Zhuge
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Semantic link ,Computer and Information Sciences ,Lexical semantics ,Computer science ,Science ,lcsh:Medicine ,Social Sciences ,02 engineering and technology ,Semantic data model ,Research and Analysis Methods ,Systems Science ,Automation ,Sociology ,020204 information systems ,0202 electrical engineering, electronic engineering, information engineering ,Question answering ,Psychology ,Syntax ,lcsh:Science ,Data Curation ,Language ,Grammar ,Multidisciplinary ,Information retrieval ,Applied Mathematics ,Simulation and Modeling ,Research ,lcsh:R ,Publications ,Cognitive Psychology ,Biology and Life Sciences ,Linguistics ,Complex Systems ,Reasoning ,Automatic summarization ,Semantics ,Lexical Semantics ,Social Networks ,Physical Sciences ,Cognitive Science ,lcsh:Q ,020201 artificial intelligence & image processing ,Mathematics ,Algorithms ,Network Analysis ,Research Article ,Neuroscience - Abstract
The Semantic Link Network is a general semantic model for modeling the structure and the evolution of complex systems. Various semantic links play different roles in rendering the semantics of complex system. One of the basic semantic links represents cause-effect relation, which plays an important role in representation and understanding. This paper verifies the role of the Semantic Link Network in representing the core of text by investigating the contribution of cause-effect link to representing the core of scientific papers. Research carries out with the following steps: (1) Two propositions on the contribution of cause-effect link in rendering the core of paper are proposed and verified through a statistical survey, which shows that the sentences on cause-effect links cover about 65% of key words within each paper on average. (2) An algorithm based on syntactic patterns is designed for automatically extracting cause-effect link from scientific papers, which recalls about 70% of manually annotated cause-effect links on average, indicating that the result adapts to the scale of data sets. (3) The effects of cause-effect link on four schemes of incorporating cause-effect link into the existing instances of the Semantic Link Network for enhancing the summarization of scientific papers are investigated. The experiments show that the quality of the summaries is significantly improved, which verifies the role of semantic links. The significance of this research lies in two aspects: (1) it verifies that the Semantic Link Network connects the important concepts to render the core of text; and, (2) it provides an evidence for realizing content services such as summarization, recommendation and question answering based on the Semantic Link Network, and it can inspire relevant research on content computing.
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- 2018
38. A collaborative approach for research paper recommender system.
- Author
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Haruna, Khalid, Akmar Ismail, Maizatul, Damiasih, Damiasih, Sutopo, Joko, and Herawan, Tutut
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CITATION analysis ,SCIENCE & state ,SOCIAL network analysis ,SOCIAL networks ,COMPUTER networks - Abstract
Research paper recommenders emerged over the last decade to ease finding publications relating to researchers’ area of interest. The challenge was not just to provide researchers with very rich publications at any time, any place and in any form but to also offer the right publication to the right researcher in the right way. Several approaches exist in handling paper recommender systems. However, these approaches assumed the availability of the whole contents of the recommending papers to be freely accessible, which is not always true due to factors such as copyright restrictions. This paper presents a collaborative approach for research paper recommender system. By leveraging the advantages of collaborative filtering approach, we utilize the publicly available contextual metadata to infer the hidden associations that exist between research papers in order to personalize recommendations. The novelty of our proposed approach is that it provides personalized recommendations regardless of the research field and regardless of the user’s expertise. Using a publicly available dataset, our proposed approach has recorded a significant improvement over other baseline methods in measuring both the overall performance and the ability to return relevant and useful publications at the top of the recommendation list. [ABSTRACT FROM AUTHOR]
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- 2017
- Full Text
- View/download PDF
39. Discretized best-response dynamics for the rock-paper-scissors game
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Peter Bednarik and Josef Hofbauer
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Statistics and Probability ,0209 industrial biotechnology ,education.field_of_study ,021103 operations research ,Discretization ,Differential equation ,Applied Mathematics ,Population ,0211 other engineering and technologies ,Zero (complex analysis) ,Annulus (mathematics) ,02 engineering and technology ,020901 industrial engineering & automation ,Control theory ,Modeling and Simulation ,Best response ,Stability theory ,Piecewise ,Applied mathematics ,education ,Mathematics - Abstract
Discretizing a differential equation may change the qualitative behaviour drastically, even if the stepsize is small. We illustrate this by looking at the discretization of a piecewise continuous differential equation that models a population of agents playing the Rock-Paper-Scissors game. The globally asymptotically stable equilibrium of the differential equation turns, after discretization, into a repeller surrounded by an annulus shaped attracting region. In this region, more and more periodic orbits emerge as the discretization step approaches zero.
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- 2017
40. Analysis of paper pressing: the saturated one-dimensional case
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D. Bežanovic, E.F. Kaasschieter, C.J. van Duijn, Center for Analysis, Scientific Computing & Appl., and Applied Analysis - BURGERS
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Pressing ,Paper machine ,business.product_category ,Diffusion equation ,Applied Mathematics ,Mathematical analysis ,Computational Mechanics ,Boundary (topology) ,Nonlinear diffusion ,Geometry ,Uniqueness ,business ,Mathematics - Abstract
We derive a one-dimensional model that describes pressing of water saturated paper in the press-section of the paper machine. The model involves two nonlinear diffusion equations which are coupled across an internal boundary. Existence and uniqueness as a number of qualitative properties are demonstrated. Further, computational results for a concrete case are discussed.
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- 2006
41. Remarks on a Paper by Leonetti and Siepe
- Author
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Hongya Gao, Hong Tian, and Chao Liu
- Subjects
Pure mathematics ,Generalization ,Applied Mathematics ,Mathematical analysis ,Boundary (topology) ,Monotonic function ,Type (model theory) ,Mathematics - Analysis of PDEs ,FOS: Mathematics ,Boundary value problem ,Anisotropy ,Analysis ,Analysis of PDEs (math.AP) ,Mathematics - Abstract
In (2012), Leonetti and Siepe [10] considered solutions to boundary value problems of some anisotropic elliptic equations of the type { ∑ i = 1 n D i ( a i ( x , D u ( x ) ) ) = 0 , x ∈ Ω , u ( x ) = θ ( x ) , x ∈ ∂ Ω . Under some suitable conditions, they obtained an integrability result, which shows that higher integrability of the boundary datum θ forces solutions u to have higher integrability as well. In the present paper, we consider K ψ , θ ( p i ) -obstacle problems of the nonhomogeneous anisotropic elliptic equations ∑ i = 1 n D i ( a i ( x , D u ( x ) ) ) = ∑ i = 1 n D i f i ( x ) under some controllable growth and monotonicity conditions. We obtain an integrability result, which can be regarded as a generalization of the result due to Leonetti and Siepe.
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- 2018
42. Notes on Some Recent Papers Concerning $F$-Contractions in $b$-Metric Spaces
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Stojan Radenović and Zoran Kadelburg
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Numerical Analysis ,Pure mathematics ,Matematik ,$b$-Metric space,$F$-Contraction,$\alpha$-Admissible mappings ,Applied Mathematics ,010102 general mathematics ,Auxiliary function ,Fixed point ,01 natural sciences ,010101 applied mathematics ,Metric space ,Order (group theory) ,F contraction ,0101 mathematics ,Analysis ,Mathematics - Abstract
In several recent papers, attempts have been made to apply Wardowski's method of $F$-contractions in order to obtain fixed point results for single and multivalued mappings in $b$-metric spaces. In this article, it is shown that in most cases the conditions imposed on respective mappings are too strong and that the results can be obtained directly, i.e., without using most of the properties of auxiliary function $F$.
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- 2018
43. Preface: Studies on Inverse Problems with Applications: a Collection of Papers from Chinese Scholars
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Ji-jun Liu, Jin Cheng, Gang Bao, and Bo Zhang
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Applied Mathematics ,Mathematics education ,Inverse problem ,Mathematics - Published
- 2019
44. Estimates on the Minimal Stabilizing Horizon Length in Model Predictive Control for the Fokker-Planck Equation**This work was supported by the DFG project Model Predictive Control for the Fokker-Planck Equation, GR 1569/15-1. The paper was written while the second author was visiting the University of Newcastle, Australia
- Author
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Lars Grüne and Arthur Fleig
- Subjects
0209 industrial biotechnology ,Partial differential equation ,Series (mathematics) ,Stochastic process ,010103 numerical & computational mathematics ,02 engineering and technology ,Optimal control ,01 natural sciences ,Controllability ,Model predictive control ,020901 industrial engineering & automation ,Control and Systems Engineering ,Control theory ,Stability theory ,Applied mathematics ,Fokker–Planck equation ,0101 mathematics ,Mathematics - Abstract
In a series of papers by Annunziato and Borzi, Model Predictive Control of the Fokker-Planck equation has been established as a numerically feasible way for controlling stochastic processes via their probability density functions. Numerical simulations suggest that the resulting controller yields an asymptotically stable closed loop system for optimization horizons looking only one time step into the future. In this paper we provide a formal proof of this fact for the Fokker-Planck equation corresponding to the controlled Ornstein-Uhlenbeck process using an L2 cost and control functions that are constant in space. The key step of the proof consists in the verification of an exponential controllability property with respect to the stage cost. Numerical simulations are provided to illustrate our results.
- Published
- 2016
45. On the structure of paper-floor sequences
- Author
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Donghwa Lee and Nahmwoo Hahm
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Algebra ,Discrete mathematics ,0209 industrial biotechnology ,020901 industrial engineering & automation ,Applied Mathematics ,020208 electrical & electronic engineering ,0202 electrical engineering, electronic engineering, information engineering ,Structure (category theory) ,Subject (documents) ,02 engineering and technology ,Mathematics - Abstract
Paperfolding sequences are represented by 0’s and 1’s. In this paper, we introduce paper-oor sequences which are represented by nonnegative integers. We investigate the structure of paper-oor sequences which represent the oors obtained by paperfoldings. Mathematics Subject Classication: 97A20, 68R99
- Published
- 2016
46. On the formation and use of calibration equations in nutritional epidemiology – Discussion of the Paper by R. L. Prentice and Y. Huang
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Laurence S. Freedman and Pamela A. Shaw
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Statistics and Probability ,Computational Theory and Mathematics ,Calibration (statistics) ,Nutritional epidemiology ,Applied Mathematics ,Applied mathematics ,Statistics, Probability and Uncertainty ,Analysis ,Mathematics - Published
- 2018
47. On Nash’s unique contribution to analysis in just three of his papers
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Sergiu Klainerman
- Subjects
Applied Mathematics ,General Mathematics ,010102 general mathematics ,0103 physical sciences ,010307 mathematical physics ,0101 mathematics ,01 natural sciences ,Mathematics - Published
- 2016
48. Fixation properties of rock-paper-scissors games in fluctuating populations
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Robert West and Mauro Mobilia
- Subjects
0301 basic medicine ,Statistics and Probability ,Physics - Physics and Society ,Population Dynamics ,Population ,FOS: Physical sciences ,Physics and Society (physics.soc-ph) ,General Biochemistry, Genetics and Molecular Biology ,03 medical and health sciences ,0302 clinical medicine ,Game Theory ,Econometrics ,Carrying capacity ,Quantitative Biology - Populations and Evolution ,Environmental noise ,education ,Condensed Matter - Statistical Mechanics ,Randomness ,Probability ,Mathematics ,Population Density ,education.field_of_study ,Statistical Mechanics (cond-mat.stat-mech) ,Ecology ,General Immunology and Microbiology ,Stochastic process ,Applied Mathematics ,Population size ,Populations and Evolution (q-bio.PE) ,General Medicine ,Nonlinear Sciences - Adaptation and Self-Organizing Systems ,Fixation (population genetics) ,030104 developmental biology ,FOS: Biological sciences ,Modeling and Simulation ,Evolutionary ecology ,General Agricultural and Biological Sciences ,Adaptation and Self-Organizing Systems (nlin.AO) ,030217 neurology & neurosurgery - Abstract
Rock-paper-scissors games metaphorically model cyclic dominance in ecology and microbiology. In a static environment, these models are characterized by fixation probabilities obeying two different "laws" in large and small well-mixed populations. Here, we investigate the evolution of these three-species models subject to a randomly switching carrying capacity modeling the endless change between states of resources scarcity and abundance. Focusing mainly on the zero-sum rock-paper-scissors game, equivalent to the cyclic Lotka-Volterra model, we study how the ${\it coupling}$ of demographic and environmental noise influences the fixation properties. More specifically, we investigate which species is the most likely to prevail in a population of fluctuating size and how the outcome depends on the environmental variability. We show that demographic noise coupled with environmental randomness "levels the field" of cyclic competition by balancing the effect of selection. In particular, we show that fast switching effectively reduces the selection intensity proportionally to the variance of the carrying capacity. We determine the conditions under which new fixation scenarios arise, where the most likely species to prevail changes with the rate of switching and the variance of the carrying capacity. Random switching has a limited effect on the mean fixation time that scales linearly with the average population size. Hence, environmental randomness makes the cyclic competition more egalitarian, but does not prolong the species coexistence. We also show how the fixation probabilities of close-to-zero-sum rock-paper-scissors games can be obtained from those of the zero-sum model by rescaling the selection intensity., 31 pages, 15 figures: Main text (18 pages, 9 figures) followed by Supplementary Material (13 pages, 6 figures). Supplementary Information and resources available at https://doi.org/10.6084/m9.figshare.8858273.v1
- Published
- 2020
49. A letter concerning Leonetti's paper 'Continuous Projections onto Ideal Convergent Sequences'
- Author
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Tomasz Kania
- Subjects
Mathematics::Functional Analysis ,Applied Mathematics ,010102 general mathematics ,46B20, 46B26 (primary), and 40A35 (secondary) ,Space (mathematics) ,Quotient space (linear algebra) ,01 natural sciences ,Functional Analysis (math.FA) ,010101 applied mathematics ,Combinatorics ,Mathematics - Functional Analysis ,Mathematics (miscellaneous) ,FOS: Mathematics ,Uncountable set ,Ideal (ring theory) ,Family of sets ,0101 mathematics ,Mathematics - Abstract
Leonetti proved that whenever $${\mathcal {I}}$$ is an ideal on $${\mathbb {N}}$$ such that there exists an uncountable family of sets that are not in $${\mathcal {I}}$$ with the property that the intersection of any two distinct members of that family is in $${\mathcal {I}}$$ , then the space $$c_{0,{\mathcal {I}}}$$ of sequences in $$\ell _\infty $$ that converge to 0 along $${\mathcal {I}}$$ is not complemented. We provide a shorter proof of a more general fact that the quotient space $$\ell _\infty / c_{0,{\mathcal {I}}}$$ does not even embed into $$\ell _\infty $$ .
- Published
- 2018
50. COMMENT ON THE PAPER 'LUMINESCENCE MODELS BY S.W.S. MCKEEVER AND R. CHEN, RADIATION MEASUREMENTS 27(5/6), 1997, pp. 625-661'
- Author
-
Nikolaos A. Kazakis
- Subjects
Radiation ,Chen ,Luminescence ,Radiological and Ultrasound Technology ,biology ,Public Health, Environmental and Occupational Health ,Applied mathematics ,Radiology, Nuclear Medicine and imaging ,General Medicine ,biology.organism_classification ,Mathematics - Abstract
The present comment concerns the correct presentation of the equations giving the CW-OSL intensity in the case of second- and general-order kinetics. Those equations have also been published with their wrong formulation in two eminent books in their topic. Since most researchers (especially early stage) would use directly the proposed functions as published in the various sources, they should be notified of their correct formulation.
- Published
- 2018
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