44 results on '"Acar, Evrim"'
Search Results
2. Characterizing human postprandial metabolic response using multiway data analysis
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Yan, Shi, Li, Lu, Horner, David, Ebrahimi, Parvaneh, Chawes, Bo, Dragsted, Lars O., Rasmussen, Morten A., Smilde, Age K., and Acar, Evrim
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- 2024
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3. Exploring dynamic metabolomics data with multiway data analysis: a simulation study
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Li, Lu, Hoefsloot, Huub, de Graaf, Albert A., Acar, Evrim, and Smilde, Age K.
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- 2022
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4. Revealing static and dynamic biomarkers from postprandial metabolomics data through coupled matrix and tensor factorizations.
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Li, Lu, Yan, Shi, Horner, David, Rasmussen, Morten A., Smilde, Age K., and Acar, Evrim
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MATRIX decomposition ,MULTISENSOR data fusion ,BODY mass index ,FASTING ,METABOLOMICS - Abstract
Introduction: Longitudinal metabolomics data from a meal challenge test contains both fasting and dynamic signals, that may be related to metabolic health and diseases. Recent work has explored the multiway structure of time-resolved metabolomics data by arranging it as a three-way array with modes: subjects, metabolites, and time. The analysis of such dynamic data (where the fasting data is subtracted from postprandial states) reveals dynamic markers of various phenotypes, and differences between fasting and dynamic states. However, there is still limited success in terms of extracting static and dynamic biomarkers for the same subject stratifications. Objectives: Through joint analysis of fasting and dynamic metabolomics data, our goal is to capture static and dynamic biomarkers of a phenotype for the same subject stratifications providing a complete picture, that will be more effective for precision health. Methods: We jointly analyze fasting and dynamic metabolomics data collected during a meal challenge test from the COPSAC 2000 cohort using coupled matrix and tensor factorizations (CMTF), where the dynamic data (subjects by metabolites by time) is coupled with the fasting data (subjects by metabolites) in the subjects mode. Results: The proposed data fusion approach extracts shared subject stratifications in terms of BMI (body mass index) from fasting and dynamic signals as well as the static and dynamic metabolic biomarker patterns corresponding to those stratifications. Specifically, we observe a subject stratification showing the positive association with all fasting VLDLs and higher BMI. For the same subject stratification, a subset of dynamic VLDLs (mainly the smaller sizes) correlates negatively with higher BMI. Higher correlations of the subject quantifications with the phenotype of interest are observed using such a data fusion approach compared to individual analyses of the fasting and postprandial state. Conclusion: The CMTF-based approach provides a complete picture of static and dynamic biomarkers for the same subject stratifications—when markers are present in both fasting and dynamic states. [ABSTRACT FROM AUTHOR]
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- 2024
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5. Cross-product penalized component analysis (X-CAN)
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Camacho, Jose, Acar, Evrim, Rasmussen, Morten A., and Bro, Rasmus
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- 2020
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6. Unsupervised EHR‐based phenotyping via matrix and tensor decompositions.
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Becker, Florian, Smilde, Age K., and Acar, Evrim
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MATRIX decomposition ,ELECTRONIC health records ,NONNEGATIVE matrices ,MACHINE learning ,CLINICAL pathology ,INDIVIDUALIZED medicine - Abstract
Computational phenotyping allows for unsupervised discovery of subgroups of patients as well as corresponding co‐occurring medical conditions from electronic health records (EHR). Typically, EHR data contains demographic information, diagnoses and laboratory results. Discovering (novel) phenotypes has the potential to be of prognostic and therapeutic value. Providing medical practitioners with transparent and interpretable results is an important requirement and an essential part for advancing precision medicine. Low‐rank data approximation methods such as matrix (e.g., nonnegative matrix factorization) and tensor decompositions (e.g., CANDECOMP/PARAFAC) have demonstrated that they can provide such transparent and interpretable insights. Recent developments have adapted low‐rank data approximation methods by incorporating different constraints and regularizations that facilitate interpretability further. In addition, they offer solutions for common challenges within EHR data such as high dimensionality, data sparsity and incompleteness. Especially extracting temporal phenotypes from longitudinal EHR has received much attention in recent years. In this paper, we provide a comprehensive review of low‐rank approximation‐based approaches for computational phenotyping. The existing literature is categorized into temporal versus static phenotyping approaches based on matrix versus tensor decompositions. Furthermore, we outline different approaches for the validation of phenotypes, that is, the assessment of clinical significance. This article is categorized under:Algorithmic Development > Structure DiscoveryFundamental Concepts of Data and Knowledge > Explainable AITechnologies > Machine Learning [ABSTRACT FROM AUTHOR]
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- 2023
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7. Understanding data fusion within the framework of coupled matrix and tensor factorizations
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Acar, Evrim, Rasmussen, Morten Arendt, Savorani, Francesco, Næs, Tormod, and Bro, Rasmus
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- 2013
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8. Link prediction in heterogeneous data via generalized coupled tensor factorization
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Ermiş, Beyza, Acar, Evrim, and Cemgil, A. Taylan
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- 2015
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9. PARAFAC2 AO-ADMM: Constraints in all modes
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Roald, Marie, Schenker, Carla, Cohen, Jérémy, Acar, Evrim, Oslo Metropolitan University (OsloMet), Parcimonie et Nouveaux Algorithmes pour le Signal et la Modélisation Audio (PANAMA), SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE (IRISA-D5), Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Rennes 1 (UR1), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Institut de Recherche en Informatique et Systèmes Aléatoires (IRISA), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria), Inria Rennes – Bretagne Atlantique, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE (IRISA-D5), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-Institut National de Recherche en Informatique et en Automatique (Inria)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Bretagne Sud (UBS)-École normale supérieure - Rennes (ENS Rennes)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Université de Bretagne Sud (UBS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-CentraleSupélec-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Bretagne Sud (UBS)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), and Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-École normale supérieure - Rennes (ENS Rennes)-Centre National de la Recherche Scientifique (CNRS)-Université de Rennes 1 (UR1)
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FOS: Computer and information sciences ,Computer Science - Machine Learning ,010401 analytical chemistry ,020206 networking & telecommunications ,Machine Learning (stat.ML) ,02 engineering and technology ,01 natural sciences ,0104 chemical sciences ,Machine Learning (cs.LG) ,Statistics - Machine Learning ,Optimization and Control (math.OC) ,PARAFAC2 ,Tensor decomposition ,0202 electrical engineering, electronic engineering, information engineering ,FOS: Mathematics ,AO-ADMM ,[INFO]Computer Science [cs] ,Mathematics - Optimization and Control - Abstract
The PARAFAC2 model provides a flexible alternative to the popular CANDECOMP/PARAFAC (CP) model for tensor decompositions. Unlike CP, PARAFAC2 allows factor matrices in one mode (i.e., evolving mode) to change across tensor slices, which has proven useful for applications in different domains such as chemometrics, and neuroscience. However, the evolving mode of the PARAFAC2 model is traditionally modelled implicitly, which makes it challenging to regularise it. Currently, the only way to apply regularisation on that mode is with a flexible coupling approach, which finds the solution through regularised least-squares subproblems. In this work, we instead propose an alternating direction method of multipliers (ADMM)-based algorithm for fitting PARAFAC2 and widen the possible regularisation penalties to any proximable function. Our numerical experiments demonstrate that the proposed ADMM-based approach for PARAFAC2 can accurately recover the underlying components from simulated data while being both computationally efficient and flexible in terms of imposing constraints., Comment: 5 pages, 4 figures, submitted to EUSIPCO21
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- 2021
10. Scalable tensor factorizations for incomplete data
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Acar, Evrim, Dunlavy, Daniel M., Kolda, Tamara G., and Mørup, Morten
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- 2011
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11. Patterns of time since last meal revealed by sparse PCA in an observational LC–MS based metabolomics study
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Gürdeniz, Gözde, Hansen, Louise, Rasmussen, Morten Arendt, Acar, Evrim, Olsen, Anja, Christensen, Jane, Barri, Thaer, Tjønneland, Anne, and Dragsted, Lars Ove
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- 2013
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12. Reproducibility in Matrix and Tensor Decompositions: Focus on model match, interpretability, and uniqueness.
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Adali, Tulay, Kantar, Furkan, Akhonda, Mohammad Abu Baker Siddique, Strother, Stephen, Calhoun, Vince D., and Acar, Evrim
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Data-driven solutions are playing an increasingly important role in numerous practical problems across multiple disciplines. The shift from the traditional model-driven approaches to those that are data driven naturally emphasizes the importance of the explainability of solutions, as, in this case, the connection to a physical model is often not obvious. Explainability is a broad umbrella and includes interpretability, but it also implies that the solutions need to be complete, in that one should be able to “audit” them, ask appropriate questions, and hence gain further insight about their inner workings. Thus, interpretability, reproducibility, and, ultimately, our ability to generalize these solutions to unseen scenarios and situations are all strongly tied to the starting point of explainability. [ABSTRACT FROM AUTHOR]
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- 2022
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13. Unsupervised multiway data analysis: a literature survey
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Acar, Evrim and Yener, Bulent
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Algorithms -- Analysis ,Decomposition (Mathematics) -- Analysis ,Algorithm ,Business ,Computers ,Electronics ,Electronics and electrical industries - Abstract
Two-way arrays or matrices are often not enough to represent all the information content of the data, and standard two- way analysis techniques commonly applied on matrices may fail to find the underlying structures in multimodal data sets. Multiway data analysis has recently become popular as an exploratory analysis tool in discovering the structures in higher-order data sets, where data have more than two modes. We provide a review of significant contributions in the literature on multiway models, algorithms as well as their applications in diverse disciplines including chemometrics, neuroscience, social network analysis, text mining, and computer vision. Index Terms--Multiway data analysis, tensor, higher-order singular value decomposition, multilinear algebra.
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- 2009
14. Tracing Evolving Networks Using Tensor Factorizations vs. ICA-Based Approaches.
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Acar, Evrim, Roald, Marie, Hossain, Khondoker M., Calhoun, Vince D., and Adali, Tülay
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FUNCTIONAL magnetic resonance imaging ,INDEPENDENT component analysis ,DATA distribution ,VECTOR analysis ,FACTORIZATION - Abstract
Analysis of time-evolving data is crucial to understand the functioning of dynamic systems such as the brain. For instance, analysis of functional magnetic resonance imaging (fMRI) data collected during a task may reveal spatial regions of interest, and how they evolve during the task. However, capturing underlying spatial patterns as well as their change in time is challenging. The traditional approach in fMRI data analysis is to assume that underlying spatial regions of interest are static. In this article, using fractional amplitude of low-frequency fluctuations (fALFF) as an effective way to summarize the variability in fMRI data collected during a task, we arrange time-evolving fMRI data as a subjects by voxels by time windows tensor, and analyze the tensor using a tensor factorization-based approach called a PARAFAC2 model to reveal spatial dynamics. The PARAFAC2 model jointly analyzes data from multiple time windows revealing subject-mode patterns, evolving spatial regions (also referred to as networks) and temporal patterns. We compare the PARAFAC2 model with matrix factorization-based approaches relying on independent components, namely, joint independent component analysis (ICA) and independent vector analysis (IVA), commonly used in neuroimaging data analysis. We assess the performance of the methods in terms of capturing evolving networks through extensive numerical experiments demonstrating their modeling assumptions. In particular, we show that (i) PARAFAC2 provides a compact representation in all modes, i.e., subjects, time , and voxels , revealing temporal patterns as well as evolving spatial networks, (ii) joint ICA is as effective as PARAFAC2 in terms of revealing evolving networks but does not reveal temporal patterns, (iii) IVA's performance depends on sample size, data distribution and covariance structure of underlying networks. When these assumptions are satisfied, IVA is as accurate as the other methods, (iv) when subject-mode patterns differ from one time window to another, IVA is the most accurate. Furthermore, we analyze real fMRI data collected during a sensory motor task, and demonstrate that a component indicating statistically significant group difference between patients with schizophrenia and healthy controls is captured, which includes primary and secondary motor regions, cerebellum, and temporal lobe, revealing a meaningful spatial map and its temporal change. [ABSTRACT FROM AUTHOR]
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- 2022
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15. Multiway analysis of epilepsy tensors
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Acar, Evrim, Aykut-Bingol, Canan, Bingol, Haluk, Bro, Rasmus, and Yener, Bülent
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- 2007
16. A Flexible Optimization Framework for Regularized Matrix-Tensor Factorizations With Linear Couplings.
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Schenker, Carla, Cohen, Jeremy E., and Acar, Evrim
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Coupled matrix and tensor factorizations (CMTF) are frequently used to jointly analyze data from multiple sources, a task also called data fusion. However, different characteristics of datasets stemming from multiple sources pose many challenges in data fusion and require to employ various regularizations, constraints, loss functions and different types of coupling structures between datasets. In this paper, we propose a flexible algorithmic framework for coupled matrix and tensor factorizations which utilizes Alternating Optimization (AO) and the Alternating Direction Method of Multipliers (ADMM). The framework facilitates the use of a variety of constraints, loss functions and couplings with linear transformations in a seamless way. Numerical experiments on simulated and real datasets demonstrate that the proposed approach is accurate, and computationally efficient with comparable or better performance than available CMTF methods for Frobenius norm loss, while being more flexible. Using Kullback-Leibler divergence on count data, we demonstrate that the algorithm yields accurate results also for other loss functions. [ABSTRACT FROM AUTHOR]
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- 2021
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17. Proteomics reveals multiple routes to the osteogenic phenotype in mesenchymal stem cells
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Yener Bülent, Vandenberg Scott L, Klees Robert F, Acar Evrim, Bergeron Charles, Bennett Kristin P, and Plopper George E
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Biotechnology ,TP248.13-248.65 ,Genetics ,QH426-470 - Abstract
Abstract Background Recently, we demonstrated that human mesenchymal stem cells (hMSC) stimulated with dexamethazone undergo gene focusing during osteogenic differentiation (Stem Cells Dev 14(6): 1608–20, 2005). Here, we examine the protein expression profiles of three additional populations of hMSC stimulated to undergo osteogenic differentiation via either contact with pro-osteogenic extracellular matrix (ECM) proteins (collagen I, vitronectin, or laminin-5) or osteogenic media supplements (OS media). Specifically, we annotate these four protein expression profiles, as well as profiles from naïve hMSC and differentiated human osteoblasts (hOST), with known gene ontologies and analyze them as a tensor with modes for the expressed proteins, gene ontologies, and stimulants. Results Direct component analysis in the gene ontology space identifies three components that account for 90% of the variance between hMSC, osteoblasts, and the four stimulated hMSC populations. The directed component maps the differentiation stages of the stimulated stem cell populations along the differentiation axis created by the difference in the expression profiles of hMSC and hOST. Surprisingly, hMSC treated with ECM proteins lie closer to osteoblasts than do hMSC treated with OS media. Additionally, the second component demonstrates that proteomic profiles of collagen I- and vitronectin-stimulated hMSC are distinct from those of OS-stimulated cells. A three-mode tensor analysis reveals additional focus proteins critical for characterizing the phenotypic variations between naïve hMSC, partially differentiated hMSC, and hOST. Conclusion The differences between the proteomic profiles of OS-stimulated hMSC and ECM-hMSC characterize different transitional phenotypes en route to becoming osteoblasts. This conclusion is arrived at via a three-mode tensor analysis validated using hMSC plated on laminin-5.
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- 2007
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18. Common and distinct components in data fusion
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Smilde, Age K., Mage, Ingrid, Naes, Tormod, Hankemeier, Thomas, Lips, Mirjam A., Kiers, Henk A. L., Acar, Evrim, Bro, Rasmus, and Psychometrics and Statistics
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FOS: Computer and information sciences ,JIVE ,MODELS ,PLS ,CHAIN AMINO-ACIDS ,K-SETS ,GSVD ,Methodology (stat.ME) ,CANONICAL CORRELATION-ANALYSIS ,O2PLS ,DATA MATRICES ,REGRESSION ,SINGULAR-VALUE DECOMPOSITION ,MULTIBLOCK ,INTEGRATION ,Statistics - Methodology ,DISCO - Abstract
In many areas of science multiple sets of data are collected pertaining to the same system. Examples are food products which are characterized by different sets of variables, bio-processes which are on-line sampled with different instruments, or biological systems of which different genomics measurements are obtained. Data fusion is concerned with analyzing such sets of data simultaneously to arrive at a global view of the system under study. One of the upcoming areas of data fusion is exploring whether the data sets have something in common or not. This gives insight into common and distinct variation in each data set, thereby facilitating understanding the relationships between the data sets. Unfortunately, research on methods to distinguish common and distinct components is fragmented, both in terminology as well as in methods: there is no common ground which hampers comparing methods and understanding their relative merits. This paper provides a unifying framework for this subfield of data fusion by using rigorous arguments from linear algebra. The most frequently used methods for distinguishing common and distinct components are explained in this framework and some practical examples are given of these methods in the areas of (medical) biology and food science., Comment: 50 pages, 12 figures
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- 2017
19. Tensor Computing for Internet of Things (Dagstuhl Perspectives Workshop 16152)
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Acar, Evrim, Anandkumar, Animashree, Mullin, Lenore, Rusitschka, Sebnem, and Tresp, Volker
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000 Computer science, knowledge, general works ,Computer Science - Abstract
"The fundamental laws necessary for the mathematical treatment of large part of physics and the whole of chemistry are thus completely known, and the difficulty lies only in the fact that application of these laws leads to equations that are too complex to be solved." - Dirac 1929 The digital world of Internet of Things (IoT) will provide a high-resolution depiction of our physical world through measurements and other data - even high-definition "video," if you consider streaming data frames coming from a myriad of sensors embedded in everything we use. This depiction will have captured our interactions with the physical world and the interactions of digitally enhanced machines and devices. Tensors, as generalizations of vectors and matrices, provide a natural and scalable framework for handling data with such inherent structures and complex dependencies. Scalable tensor methods have attracted considerable amount of attention, with successes in a series of learning tasks, such as learning latent variable models, relational learning, spatio-temporal forecasting as well as training [19] and compression [20] of deep neural networks. In a Dagstuhl Perspectives Workshop on Tensor Computing for IoT, we validated the fundamental suitability of tensor methods for handling the massive amounts of data coming from connected cyber-physical systems (CPS). The multidisciplinary discourse among academics, industrial researchers and practitioners in the IoT/CPS domain and in the field of machine learning and tensor methods, exposed open issues that need to be addressed to reap value from the technological opportunity. This Manifesto summarizes the immediate action fields for advancement: IoT Tensor Data Benchmarks, Tensor Tools for IoT, and the evolution of a Knowledge Hub. The activities will also be channeled to create best practices and a common tensor language across the disciplines. In a not so distant future, basic infrastructures for living will be mainly data-driven, automated by digitally enhanced devices and machines. The tools and frameworks used to engineer such systems will ensure production-ready machine learning code which utilizes tensor-based, hence better interpretable, models and runs on distributed, decentralized, and embedded computing resources in a robust and reliable way. We conclude the manifesto with a strategy how to move towards this vision with concrete steps in the identified action fields.
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- 2016
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20. Unraveling Diagnostic Biomarkers of Schizophrenia Through Structure-Revealing Fusion of Multi-Modal Neuroimaging Data.
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Acar, Evrim, Schenker, Carla, Levin-Schwartz, Yuri, Calhoun, Vince D., and Adali, Tülay
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DIAGNOSIS of schizophrenia ,BIOMARKERS ,BRAIN imaging ,DATA fusion (Statistics) ,ELECTROENCEPHALOGRAPHY ,TASK performance - Abstract
Fusing complementary information from different modalities can lead to the discovery of more accurate diagnostic biomarkers for psychiatric disorders. However, biomarker discovery through data fusion is challenging since it requires extracting interpretable and reproducible patterns from data sets, consisting of shared/unshared patterns and of different orders. For example, multi-channel electroencephalography (EEG) signals from multiple subjects can be represented as a third-order tensor with modes: subject, time, and channel, while functional magnetic resonance imaging (fMRI) data may be in the form of subject by voxel matrices. Traditional data fusion methods rearrange higher-order tensors, such as EEG, as matrices to use matrix factorization-based approaches. In contrast, fusion methods based on coupled matrix and tensor factorizations (CMTF) exploit the potential multi-way structure of higher-order tensors. The CMTF approach has been shown to capture underlying patterns more accurately without imposing strong constraints on the latent neural patterns, i.e., biomarkers. In this paper, EEG, fMRI, and structural MRI (sMRI) data collected during an auditory oddball task (AOD) from a group of subjects consisting of patients with schizophrenia and healthy controls, are arranged as matrices and higher-order tensors coupled along the subject mode, and jointly analyzed using structure-revealing CMTF methods [also known as advanced CMTF (ACMTF)] focusing on unique identification of underlying patterns in the presence of shared/unshared patterns. We demonstrate that joint analysis of the EEG tensor and fMRI matrix using ACMTF reveals significant and biologically meaningful components in terms of differentiating between patients with schizophrenia and healthy controls while also providing spatial patterns with high resolution and improving the clustering performance compared to the analysis of only the EEG tensor. We also show that these patterns are reproducible, and study reproducibility for different model parameters. In comparison to the joint independent component analysis (jICA) data fusion approach, ACMTF provides easier interpretation of EEG data by revealing a single summary map of the topography for each component. Furthermore, fusion of sMRI data with EEG and fMRI through an ACMTF model provides structural patterns; however, we also show that when fusing data sets from multiple modalities, hence of very different nature, preprocessing plays a crucial role. [ABSTRACT FROM AUTHOR]
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- 2019
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21. The Molecular Fingerprint of Fluorescent Natural Organic Matter Offers Insight into Biogeochemical Sources and Diagenetic State.
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Wünsch, Urban J., Acar, Evrim, Koch, Boris P., Murphy, Kathleen R., Schmitt-Kopplin, Philippe, and Stedmon, Colin A.
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- 2018
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22. All-at-once Optimization for Coupled Matrix and Tensor Factorizations
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Acar, Evrim, Kolda, Tamara G., and Dunlavy, Daniel M.
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FOS: Computer and information sciences ,Statistics - Machine Learning ,Physics - Data Analysis, Statistics and Probability ,FOS: Mathematics ,Computer Science - Numerical Analysis ,FOS: Physical sciences ,Machine Learning (stat.ML) ,Numerical Analysis (math.NA) ,Mathematics - Numerical Analysis ,Data Analysis, Statistics and Probability (physics.data-an) - Abstract
Joint analysis of data from multiple sources has the potential to improve our understanding of the underlying structures in complex data sets. For instance, in restaurant recommendation systems, recommendations can be based on rating histories of customers. In addition to rating histories, customers' social networks (e.g., Facebook friendships) and restaurant categories information (e.g., Thai or Italian) can also be used to make better recommendations. The task of fusing data, however, is challenging since data sets can be incomplete and heterogeneous, i.e., data consist of both matrices, e.g., the person by person social network matrix or the restaurant by category matrix, and higher-order tensors, e.g., the "ratings" tensor of the form restaurant by meal by person. In this paper, we are particularly interested in fusing data sets with the goal of capturing their underlying latent structures. We formulate this problem as a coupled matrix and tensor factorization (CMTF) problem where heterogeneous data sets are modeled by fitting outer-product models to higher-order tensors and matrices in a coupled manner. Unlike traditional approaches solving this problem using alternating algorithms, we propose an all-at-once optimization approach called CMTF-OPT (CMTF-OPTimization), which is a gradient-based optimization approach for joint analysis of matrices and higher-order tensors. We also extend the algorithm to handle coupled incomplete data sets. Using numerical experiments, we demonstrate that the proposed all-at-once approach is more accurate than the alternating least squares approach.
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- 2011
23. Forecasting Chronic Diseases Using Data Fusion.
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Acar, Evrim, Gürdeniz, Gözde, Savorani, Francesco, Hansen, Louise, Olsen, Anja, Tjønneland, Anne, Dragsted, Lars Ove, and Bro, Rasmus
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- 2017
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24. Multiscale entropy analysis of resting-state magnetoencephalogram with tensor factorisations in Alzheimer's disease.
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Escudero, Javier, Acar, Evrim, Fernández, Alberto, and Bro, Rasmus
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MAGNETOENCEPHALOGRAPHY , *ALZHEIMER'S disease , *ELECTROPHYSIOLOGY , *DATA analysis , *RECEIVER operating characteristic curves - Abstract
Tensor factorisations have proven useful to model amplitude and spectral information of brain recordings. Here, we assess the usefulness of tensor factorisations in the multiway analysis of other brain signal features in the context of complexity measures recently proposed to inspect multiscale dynamics. We consider the “refined composite multiscale entropy” ( rcMSE ), which computes entropy “profiles” showing levels of physiological complexity over temporal scales for individual signals. We compute the rcMSE of resting-state magnetoencephalogram (MEG) recordings from 36 patients with Alzheimer's disease and 26 control subjects. Instead of traditional simple visual examinations, we organise the entropy profiles as a three-way tensor to inspect relationships across temporal and spatial scales and subjects with multiway data analysis techniques based on PARAFAC and PARAFAC2 factorisations. A PARAFAC2 model with two factors was appropriate to account for the interactions in the entropy tensor between temporal scales and MEG channels for all subjects. Moreover, the PARAFAC2 factors had information related to the subjects’ diagnosis, achieving a cross-validated area under the ROC curve of 0.77. This confirms the suitability of tensor factorisations to represent electrophysiological brain data efficiently despite the unsupervised nature of these techniques. This article is part of a Special Issue entitled ‘Neural data analysis’. [ABSTRACT FROM AUTHOR]
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- 2015
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25. Incorporating higher dimensionality in joint decomposition of EEG and fMRI.
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Swinnen, Wout, Hunyadi, Borbala, Acar, Evrim, Huffe, Sabine Van, and De Vos, Maarten
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- 2014
26. A flexible modeling framework for coupled matrix and tensor factorizations.
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Acar, Evrim, Nilsson, Mathias, and Saunders, Michael
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- 2014
27. Data Fusion in Metabolomics Using Coupled Matrix and Tensor Factorizations.
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Acar, Evrim, Bro, Rasmus, and Smilde, Age K.
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MULTISENSOR data fusion ,METABOLOMICS ,TENSOR products ,MATRIX decomposition ,BIOMARKERS - Abstract
With a goal of identifying biomarkers/patterns related to certain conditions or diseases, metabolomics focuses on the detection of chemical substances in biological samples such as urine and blood using a number of analytical techniques, including nuclear magnetic resonance (NMR) spectroscopy, liquid chromatography-mass spectrometry (LC–MS), and fluorescence spectroscopy. Data sets measured using these methods provide partly complementary information, and their joint analysis has the potential to reveal underlying structures, which are, otherwise, difficult to extract. While we can collect vast amounts of data using different analytical methods, data fusion remains a challenging task, in particular, when the goal is to capture the underlying factors and use them for interpretation, e.g., for biomarker identification. Furthermore, many data fusion applications require joint analysis of heterogeneous (i.e., in the form of higher order tensors and matrices) data sets with shared/unshared factors. In order to jointly analyze such heterogeneous data sets, we formulate data fusion as a coupled matrix and tensor factorization (CMTF) problem, which has already proved useful in many data mining applications, and discuss its extension to a structure-revealing data fusion model, i.e., a data fusion model that can identify shared and unshared factors. The traditional methods commonly used for data fusion in the presence of shared/unshared factors are matrix factorization-based methods. Using both simulations and prototypical experimental coupled data sets, we assess the performance of various state-of-the-art data fusion methods and demonstrate that while matrix factorization-based approaches have limitations when used for joint analysis of heterogeneous data sets, the structure-revealing CMTF model can successfully capture the underlying factors by exploiting the low-rank structure of higher order data sets. [ABSTRACT FROM PUBLISHER]
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- 2015
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28. Optimal weight learning for Coupled Tensor Factorization with mixed divergences.
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Simsekli, Umut, Ermis, Beyza, Cemgil, A. Taylan, and Acar, Evrim
- Published
- 2013
29. Generalized coupled symmetric tensor factorization for link prediction.
- Author
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Ermis, Beyza, Cemgil, A. Taylan, and Acar, Evrim
- Published
- 2013
- Full Text
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30. Structure-revealing data fusion model with applications in metabolomics.
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Acar, Evrim, Lawaetz, Anders J., Rasmussen, Morten A., and Bro, Rasmus
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- 2013
- Full Text
- View/download PDF
31. Collective Sampling and Analysis of High Order Tensors for Chatroom Communications.
- Author
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Mehrotra, Sharad, Zeng, Daniel D., Chen, Hsinchun, Thuraisingham, Bhavani, Wang, Fei-Yue, Acar, Evrim, Çamtepe, Seyit A., and Yener, Bülent
- Abstract
This work investigates the accuracy and efficiency tradeoffs between centralized and collective (distributed) algorithms for (i) sampling, and (ii) n-way data analysis techniques in multidimensional stream data, such as Internet chatroom communications. Its contributions are threefold. First, we use the Kolmogorov-Smirnov goodness-of-fit test to show that statistical differences between real data obtained by collective sampling in time dimension from multiple servers and that of obtained from a single server are insignificant. Second, we show using the real data that collective data analysis of 3-way data arrays (users x keywords x time) known as high order tensors is more efficient than centralized algorithms with respect to both space and computational cost. Furthermore, we show that this gain is obtained without loss of accuracy. Third, we examine the sensitivity of collective constructions and analysis of high order data tensors to the choice of server selection and sampling window size. We construct 4-way tensors (users x keywords x time x servers) and analyze them to show the impact of server and window size selections on the results. [ABSTRACT FROM AUTHOR]
- Published
- 2006
- Full Text
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32. Modeling and Multiway Analysis of Chatroom Tensors.
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Kantor, Paul, Muresan, Gheorghe, Roberts, Fred, Zeng, Daniel D., Wang, Fei-Yue, Chen, Hsinchun, Merkle, Ralph C., Acar, Evrim, Çamtepe, Seyit A., Krishnamoorthy, Mukkai S., and Yener, Bülent
- Abstract
This work identifies the limitations of n-way data analysis techniques in multidimensional stream data, such as Internet chatroom communications data, and establishes a link between data collection and performance of these techniques. Its contributions are twofold. First, it extends data analysis to multiple dimensions by constructing n-way data arrays known as high order tensors. Chatroom tensors are generated by a simulator which collects and models actual communication data. The accuracy of the model is determined by the Kolmogorov-Smirnov goodness-of-fit test which compares the simulation data with the observed (real) data. Second, a detailed computational comparison is performed to test several data analysis techniques including svd [1], and multiway techniques including Tucker1, Tucker3 [2], and Parafac [3]. [ABSTRACT FROM AUTHOR]
- Published
- 2005
- Full Text
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33. Structure-revealing data fusion.
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Acar, Evrim, Papalexakis, Evangelos E., Gürdeniz, Gözde, Rasmussen, Morten A., Lawaetz, Anders J., Nilsson, Mathias, and Bro, Rasmus
- Abstract
Background: Analysis of data from multiple sources has the potential to enhance knowledge discovery by capturing underlying structures, which are, otherwise, difficult to extract. Fusing data from multiple sources has already proved useful in many applications in social network analysis, signal processing and bioinformatics. However, data fusion is challenging since data from multiple sources are often (i) heterogeneous (i.e., in the form of higher-order tensors and matrices), (ii) incomplete, and (iii) have both shared and unshared components. In order to address these challenges, in this paper, we introduce a novel unsupervised data fusion model based on joint factorization of matrices and higher-order tensors. Results: While the traditional formulation of coupled matrix and tensor factorizations modeling only shared factors fails to capture the underlying structures in the presence of both shared and unshared factors, the proposed data fusion model has the potential to automatically reveal shared and unshared components through modeling constraints. Using numerical experiments, we demonstrate the effectiveness of the proposed approach in terms of identifying shared and unshared components. Furthermore, we measure a set of mixtures with known chemical composition using both LC-MS (Liquid Chromatography - Mass Spectrometry) and NMR (Nuclear Magnetic Resonance) and demonstrate that the structure-revealing data fusion model can (i) successfully capture the chemicals in the mixtures and extract the relative concentrations of the chemicals accurately, (ii) provide promising results in terms of identifying shared and unshared chemicals, and (iii) reveal the relevant patterns in LC-MS by coupling with the diffusion NMR data. Conclusions: We have proposed a structure-revealing data fusion model that can jointly analyze heterogeneous, incomplete data sets with shared and unshared components and demonstrated its promising performance as well as potential limitations on both simulated and real data. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
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34. Coclustering-a useful tool for chemometrics.
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Bro, Rasmus, Papalexakis, Evangelos E., Acar, Evrim, and Sidiropoulos, Nicholas D.
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- 2012
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35. Coupled Analysis of In Vitro and Histology Tissue Samples to Quantify Structure-Function Relationship.
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Acar, Evrim, Plopper, George E., and Yener, Bülent
- Subjects
- *
TISSUES , *CELLS , *FLUORESCENCE , *HISTOLOGY , *HUMAN beings , *QUANTUM mechanics , *FACTORIZATION - Abstract
The structure/function relationship is fundamental to our understanding of biological systems at all levels, and drives most, if not all, techniques for detecting, diagnosing, and treating disease. However, at the tissue level of biological complexity we encounter a gap in the structure/function relationship: having accumulated an extraordinary amount of detailed information about biological tissues at the cellular and subcellular level, we cannot assemble it in a way that explains the correspondingly complex biological functions these structures perform. To help close this information gap we define here several quantitative temperospatial features that link tissue structure to its corresponding biological function. Both histological images of human tissue samples and fluorescence images of three-dimensional cultures of human cells are used to compare the accuracy of in vitro culture models with their corresponding human tissues. To the best of our knowledge, there is no prior work on a quantitative comparison of histology and in vitro samples. Features are calculated from graph theoretical representations of tissue structures and the data are analyzed in the form of matrices and higher-order tensors using matrix and tensor factorization methods, with a goal of differentiating between cancerous and healthy states of brain, breast, and bone tissues. We also show that our techniques can differentiate between the structural organization of native tissues and their corresponding in vitro engineered cell culture models. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
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36. A scalable optimization approach for fitting canonical tensor decompositions.
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Acar, Evrim, Dunlavy, Daniel M., and Kolda, Tamara G.
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- 2011
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37. Multiway modeling and analysis in stem cell systems biology.
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Yener, Bülent, Acar, Evrim, Aguis, Pheadra, Bennett, Kristin, Vandenberg, Scott L., and Plopper, George E.
- Subjects
- *
STEM cells , *SYSTEMS biology , *BIOLOGICAL systems , *CELL differentiation , *DNA microarrays - Abstract
Background: Systems biology refers to multidisciplinary approaches designed to uncover emergent properties of biological systems. Stem cells are an attractive target for this analysis, due to their broad therapeutic potential. A central theme of systems biology is the use of computational modeling to reconstruct complex systems from a wealth of reductionist, molecular data (e.g., gene/ protein expression, signal transduction activity, metabolic activity, etc.). A number of deterministic, probabilistic, and statistical learning models are used to understand sophisticated cellular behaviors such as protein expression during cellular differentiation and the activity of signaling networks. However, many of these models are bimodal i.e., they only consider row-column relationships. In contrast, multiway modeling techniques (also known as tensor models) can analyze multimodal data, which capture much more information about complex behaviors such as cell differentiation. In particular, tensors can be very powerful tools for modeling the dynamic activity of biological networks over time. Here, we review the application of systems biology to stem cells and illustrate application of tensor analysis to model collagen-induced osteogenic differentiation of human mesenchymal stem cells. Results: We applied Tucker1, Tucker3, and Parallel Factor Analysis (PARAFAC) models to identify protein/gene expression patterns during extracellular matrix-induced osteogenic differentiation of human mesenchymal stem cells. In one case, we organized our data into a tensor of type protein/ gene locus link x gene ontology category x osteogenic stimulant, and found that our cells expressed two distinct, stimulus-dependent sets of functionally related genes as they underwent osteogenic differentiation. In a second case, we organized DNA microarray data in a three-way tensor of gene IDs x osteogenic stimulus x replicates, and found that application of tensile strain to a collagen I substrate accelerated the osteogenic differentiation induced by a static collagen I substrate. Conclusion: Our results suggest gene- and protein-level models whereby stem cells undergo transdifferentiation to osteoblasts, and lay the foundation for mechanistic, hypothesis-driven studies. Our analysis methods are applicable to a wide range of stem cell differentiation models. [ABSTRACT FROM AUTHOR]
- Published
- 2008
- Full Text
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38. New exploratory clustering tool.
- Author
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Acar, Evrim, Bro, Rasmus, and Schmidt, Bonnie
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- 2008
- Full Text
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39. Biomarkers of Individual Foods, and Separation of Diets Using Untargeted LC–MS‐based Plasma Metabolomics in a Randomized Controlled Trial.
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Acar, Evrim, Gürdeniz, Gözde, Khakimov, Bekzod, Savorani, Francesco, Korndal, Sanne Kellebjerg, Larsen, Thomas Meinert, Engelsen, Søren Balling, Astrup, Arne, and Dragsted, Lars O.
- Published
- 2019
- Full Text
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40. CPOPT : optimization for fitting CANDECOMP/PARAFAC models.
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Acar, Evrim
- Published
- 2008
41. New Nordic Diet versus Average Danish Diet: A Randomized Controlled Trial Revealed Healthy Long-Term Effects of the New Nordic Diet by GC-MS Blood Plasma Metabolomics.
- Author
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Khakimov B, Poulsen SK, Savorani F, Acar E, Gürdeniz G, Larsen TM, Astrup A, Dragsted LO, and Engelsen SB
- Subjects
- Adult, Animals, Denmark, Diet standards, Edible Grain, Female, Fruit, Gas Chromatography-Mass Spectrometry, Humans, Insulin Resistance, Longitudinal Studies, Male, Metabolome, Middle Aged, Plasma chemistry, Plasma metabolism, Seafood, Seasons, Sex Factors, Vegetables, Weight Loss, Young Adult, Diet methods, Feeding Behavior physiology, Metabolomics methods, Obesity diet therapy
- Abstract
A previous study has shown effects of the New Nordic Diet (NND) to stimulate weight loss and lower systolic and diastolic blood pressure in obese Danish women and men in a randomized, controlled dietary intervention study. This work demonstrates long-term metabolic effects of the NND as compared with an Average Danish Diet (ADD) in blood plasma and reveals associations between metabolic changes and health beneficial effects of the NND including weight loss. A total of 145 individuals completed the intervention and blood samples were taken along with clinical examinations before the intervention started (week 0) and after 12 and 26 weeks. The plasma metabolome was measured using GC-MS, and the final metabolite table contained 144 variables. Significant and novel metabolic effects of the diet, resulting weight loss, gender, and intervention study season were revealed using PLS-DA and ASCA. Several metabolites reflecting specific differences in the diets, especially intake of plant foods and seafood, and in energy metabolism related to ketone bodies and gluconeogenesis formed the predominant metabolite pattern discriminating the intervention groups. Among NND subjects, higher levels of vaccenic acid and 3-hydroxybutanoic acid were related to a higher weight loss, while higher concentrations of salicylic, lactic, and N-aspartic acids and 1,5-anhydro-d-sorbitol were related to a lower weight loss. Specific gender and seasonal differences were also observed. The study strongly indicates that healthy diets high in fish, vegetables, fruit, and whole grain facilitated weight loss and improved insulin sensitivity by increasing ketosis and gluconeogenesis in the fasting state.
- Published
- 2016
- Full Text
- View/download PDF
42. Structure-revealing data fusion model with applications in metabolomics.
- Author
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Acar E, Lawaetz AJ, Rasmussen MA, and Bro R
- Subjects
- Algorithms, Chromatography, Liquid, Computer Simulation, Humans, Magnetic Resonance Spectroscopy, Mass Spectrometry, Metabolome, Models, Theoretical, Signal Processing, Computer-Assisted, Colorectal Neoplasms blood, Colorectal Neoplasms metabolism, Computational Biology, Metabolomics
- Abstract
In many disciplines, data from multiple sources are acquired and jointly analyzed for enhanced knowledge discovery. For instance, in metabolomics, different analytical techniques are used to measure biological fluids in order to identify the chemicals related to certain diseases. It is widely-known that, some of these analytical methods, e.g., LC-MS (Liquid Chromatography - Mass Spectrometry) and NMR (Nuclear Magnetic Resonance) spectroscopy, provide complementary data sets and their joint analysis may enable us to capture a larger proportion of the complete metabolome belonging to a specific biological system. Fusing data from multiple sources has proved useful in many fields including bioinformatics, signal processing and social network analysis. However, identification of common (shared) and individual (unshared) structures across multiple data sets remains a major challenge in data fusion studies. With a goal of addressing this challenge, we propose a novel unsupervised data fusion model. Our contributions are two-fold: (i) We formulate a data fusion model based on joint factorization of matrices and higher-order tensors, which can automatically reveal common and individual components. (ii) We demonstrate that the proposed approach provides promising results in joint analysis of metabolomics data sets consisting of fluorescence and NMR measurements of plasma samples in terms of separation of colorectal cancer patients from controls.
- Published
- 2013
- Full Text
- View/download PDF
43. Proteomics reveals multiple routes to the osteogenic phenotype in mesenchymal stem cells.
- Author
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Bennett KP, Bergeron C, Acar E, Klees RF, Vandenberg SL, Yener B, and Plopper GE
- Subjects
- Cell Differentiation, Humans, Mesenchymal Stem Cells cytology, Osteoblasts cytology, Bone Development, Mesenchymal Stem Cells metabolism, Osteoblasts metabolism, Proteomics
- Abstract
Background: Recently, we demonstrated that human mesenchymal stem cells (hMSC) stimulated with dexamethazone undergo gene focusing during osteogenic differentiation (Stem Cells Dev 14(6): 1608-20, 2005). Here, we examine the protein expression profiles of three additional populations of hMSC stimulated to undergo osteogenic differentiation via either contact with pro-osteogenic extracellular matrix (ECM) proteins (collagen I, vitronectin, or laminin-5) or osteogenic media supplements (OS media). Specifically, we annotate these four protein expression profiles, as well as profiles from naïve hMSC and differentiated human osteoblasts (hOST), with known gene ontologies and analyze them as a tensor with modes for the expressed proteins, gene ontologies, and stimulants., Results: Direct component analysis in the gene ontology space identifies three components that account for 90% of the variance between hMSC, osteoblasts, and the four stimulated hMSC populations. The directed component maps the differentiation stages of the stimulated stem cell populations along the differentiation axis created by the difference in the expression profiles of hMSC and hOST. Surprisingly, hMSC treated with ECM proteins lie closer to osteoblasts than do hMSC treated with OS media. Additionally, the second component demonstrates that proteomic profiles of collagen I- and vitronectin-stimulated hMSC are distinct from those of OS-stimulated cells. A three-mode tensor analysis reveals additional focus proteins critical for characterizing the phenotypic variations between naïve hMSC, partially differentiated hMSC, and hOST., Conclusion: The differences between the proteomic profiles of OS-stimulated hMSC and ECM-hMSC characterize different transitional phenotypes en route to becoming osteoblasts. This conclusion is arrived at via a three-mode tensor analysis validated using hMSC plated on laminin-5.
- Published
- 2007
- Full Text
- View/download PDF
44. Seizure recognition on epilepsy feature tensor.
- Author
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Acar E, Bingol CA, Bingol H, Bro R, and Yener B
- Subjects
- Humans, Linear Models, Seizures classification, Seizures physiopathology, Sensitivity and Specificity, Electroencephalography methods, Models, Biological, Seizures diagnosis, Signal Processing, Computer-Assisted
- Abstract
With a goal of automating visual analysis of electroencephalogram (EEG) data and assessing the performance of various features in seizure recognition, we introduce a mathematical model capable of recognizing patient-specific epileptic seizures with high accuracy. We represent multi-channel scalp EEG using a set of features. These features expected to have distinct trends during seizure and non-seizure periods include features from both time and frequency domains. The contributions of this paper are threefold. First, we rearrange multi-channel EEG signals as a third-order tensor called an Epilepsy Feature Tensor with modes: time epochs, features and electrodes. Second, we model the Epilepsy Feature Tensor using a multilinear regression model, i.e., Multilinear Partial Least Squares regression, which is the generalization of Partial Least Squares (PLS) regression to higher-order datasets. This two-step approach facilitates EEG data analysis from multiple electrodes represented by several features from different domains. Third, we identify which features are more significant for seizure recognition. Our results based on the analysis of 19 seizures from 5 epileptic patients demonstrate that multiway analysis of an Epilepsy Feature Tensor can detect (patient-specific) seizures with classification accuracy ranging between 77-96%.
- Published
- 2007
- Full Text
- View/download PDF
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