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7. Basic Concepts and Notations

Author

Stanković, Radomir S., Stanković, Milena, Moraga, Claudio, Astola, Jaakko, Stanković, Radomir S., Stanković, Milena, Moraga, Claudio, and Astola, Jaakko

Published
2024
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10. George J. Boole : A Nineteenth Century Man for the Modern Digital Era

Author

Stanković, Radomir S., Stanković, Milena, Astola, Jaakko, Moraga, Claudio, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Moreno-Díaz, Roberto, editor, Pichler, Franz, editor, and Quesada-Arencibia, Alexis, editor

Published
2022
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13. George J. Boole

Author

Stanković, Radomir S., primary, Stanković, Milena, additional, Astola, Jaakko, additional, and Moraga, Claudio, additional

Published
2022
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14. Remarks on the Design of First Digital Computers in Japan - Contributions of Yasuo Komamiya

Author

Stanković, Radomir S., Sasao, Tsutomu, Astola, Jaakko T., Yamada, Akihiko, Goos, Gerhard, Founding Editor, Hartmanis, Juris, Founding Editor, Bertino, Elisa, Editorial Board Member, Gao, Wen, Editorial Board Member, Steffen, Bernhard, Editorial Board Member, Woeginger, Gerhard, Editorial Board Member, Yung, Moti, Editorial Board Member, Moreno-Díaz, Roberto, editor, Pichler, Franz, editor, and Quesada-Arencibia, Alexis, editor

Published
2020
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16. Gibbs Dyadic Differentiation on Groups - Evolution of the Concept

Author

Stanković, Radomir S., Astola, Jaakko, Moraga, Claudio, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Moreno-Díaz, Roberto, editor, Pichler, Franz, editor, and Quesada-Arencibia, Alexis, editor

Published
2018
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17. Advanced phase retrieval: maximum likelihood technique with sparse regularization of phase and amplitude

Author

Migukin, Artem, Katkovnik, Vladimir, and Astola, Jaakko

Subjects
Computer Science - Computer Vision and Pattern Recognition
Abstract

Sparse modeling is one of the efficient techniques for imaging that allows recovering lost information. In this paper, we present a novel iterative phase-retrieval algorithm using a sparse representation of the object amplitude and phase. The algorithm is derived in terms of a constrained maximum likelihood, where the wave field reconstruction is performed using a number of noisy intensity-only observations with a zero-mean additive Gaussian noise. The developed algorithm enables the optimal solution for the object wave field reconstruction. Our goal is an improvement of the reconstruction quality with respect to the conventional algorithms. Sparse regularization results in advanced reconstruction accuracy, and numerical simulations demonstrate significant enhancement of imaging., Comment: Submitted to the 10th IMEKO Symposium LMPMI (Laser Metrology for Precision Measurement and Inspection in Industry) on May 31, 2011

Published
2011

28. Fast Recursive Coding Based on Grouping of Symbols

Author

Ponomarenko, Nikolay, Lukin, Vladimir, Egiazarian, Karen, Astola, Jaakko, and Ryabko, Boris Y

Subjects
Computer Science - Information Theory, E.4
Abstract

A novel fast recursive coding technique is proposed. It operates with only integer values not longer 8 bits and is multiplication free. Recursion the algorithm is based on indirectly provides rather effective coding of symbols for very large alphabets. The code length for the proposed technique can be up to 20-30% less than for arithmetic coding and, in the worst case it is only by 1-3% larger., Comment: 3 pages, submitted to IEEE Transactions on Information Theory

Published
2007

29. Universal Codes as a Basis for Time Series Testing

Author

Ryabko, Boris and Astola, Jaakko

Subjects
Computer Science - Information Theory
Abstract

We suggest a new approach to hypothesis testing for ergodic and stationary processes. In contrast to standard methods, the suggested approach gives a possibility to make tests, based on any lossless data compression method even if the distribution law of the codeword lengths is not known. We apply this approach to the following four problems: goodness-of-fit testing (or identity testing), testing for independence, testing of serial independence and homogeneity testing and suggest nonparametric statistical tests for these problems. It is important to note that practically used so-called archivers can be used for suggested testing., Comment: accepted for "Statistical Methodology" (Elsevier)

Published
2006

30. Universal Codes as a Basis for Nonparametric Testing of Serial Independence for Time Series

Author

Ryabko, Boris and Astola, Jaakko

Subjects
Computer Science - Information Theory
Abstract

We consider a stationary and ergodic source $p$ generated symbols $x_1 ... x_t$ from some finite set $A$ and a null hypothesis $H_0$ that $p$ is Markovian source with memory (or connectivity) not larger than $m, (m >= 0).$ The alternative hypothesis $H_1$ is that the sequence is generated by a stationary and ergodic source, which differs from the source under $H_0$. In particular, if $m= 0$ we have the null hypothesis $H_0$ that the sequence is generated by Bernoully source (or the hypothesis that $x_1 ...x_t$ are independent.) Some new tests which are based on universal codes and universal predictors, are suggested., Comment: accepted for ISIT'05

Published
2005

31. Application of Kolmogorov complexity and universal codes to identity testing and nonparametric testing of serial independence for time series

Author

Ryabko, Boris, Astola, Jaakko, and Gammerman, Alex

Subjects
Computer Science - Computational Complexity
Abstract

We show that Kolmogorov complexity and such its estimators as universal codes (or data compression methods) can be applied for hypotheses testing in a framework of classical mathematical statistics. The methods for identity testing and nonparametric testing of serial independence for time series are suggested., Comment: submitted

Published
2005

32. Prediction of Large Alphabet Processes and Its Application to Adaptive Source Coding

Author

Ryabko, Boris and Astola, Jaakko

Subjects
Computer Science - Information Theory
Abstract

The problem of predicting a sequence $x_1,x_2,...$ generated by a discrete source with unknown statistics is considered. Each letter $x_{t+1}$ is predicted using information on the word $x_1x_2... x_t$ only. In fact, this problem is a classical problem which has received much attention. Its history can be traced back to Laplace. We address the problem where each $x_i$ belongs to some large (or even infinite) alphabet. A method is presented for which the precision is greater than for known algorithms, where precision is estimated by the Kullback-Leibler divergence. The results can readily be translated to results about adaptive coding., Comment: submitted

Published
2005

33. Fast Codes for Large Alphabets

Author

Ryabko, Boris, Astola, Jaakko, and Egiazarian, Karen

Subjects
Computer Science - Information Theory
Abstract

We address the problem of constructing a fast lossless code in the case when the source alphabet is large. The main idea of the new scheme may be described as follows. We group letters with small probabilities in subsets (acting as super letters) and use time consuming coding for these subsets only, whereas letters in the subsets have the same code length and therefore can be coded fast. The described scheme can be applied to sources with known and unknown statistics., Comment: published

Published
2005

37. Remarks on Characterization of Bent Functions in Terms of Gibbs Dyadic Derivatives

Author

Stanković, Radomir S., Astola, Jaakko T., Moraga, Claudio, Stanković, Milena, Gajić, Dušan, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Moreno-Díaz, Roberto, editor, Pichler, Franz, editor, and Quesada-Arencibia, Alexis, editor

Published
2015
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38. The Extended 1-D (One-Dimensional) Discrete Phase Retrieval Problem

Author

Rusu, Corneliu, Astola, Jaakko, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Moreno-Díaz, Roberto, editor, Pichler, Franz, editor, and Quesada-Arencibia, Alexis, editor

Published
2015
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39. Analysis of HVS-Metrics’ Properties Using Color Image Database TID2013

Author

Ponomarenko, Nikolay, Lukin, Vladimir, Astola, Jaakko, Egiazarian, Karen, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Battiato, Sebastiano, editor, Blanc-Talon, Jacques, editor, Gallo, Giovanni, editor, Philips, Wilfried, editor, Popescu, Dan, editor, and Scheunders, Paul, editor

Published
2015
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40. Non-local Sigma Filter

Author

Ponomarenko, Nikolay, Lukin, Vladimir, Astola, Jaakko, Egiazarian, Karen, Hutchison, David, Series editor, Kanade, Takeo, Series editor, Kittler, Josef, Series editor, Kleinberg, Jon M., Series editor, Mattern, Friedemann, Series editor, Mitchell, John C., Series editor, Naor, Moni, Series editor, Pandu Rangan, C., Series editor, Steffen, Bernhard, Series editor, Terzopoulos, Demetri, Series editor, Tygar, Doug, Series editor, Weikum, Gerhard, Series editor, Murino, Vittorio, editor, and Puppo, Enrico, editor

Published
2015
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