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Similarity analyses between multiple correlation or covariance tables constitute the cornerstone of network neuroscience. Here, we introduce covSTATIS, a versatile, linear, unsupervised multi-table method designed to identify structured…

Quantitative Methods · Quantitative Biology 2024-04-16 Giulia Baracchini , Ju-Chi Yu , Jenny Rieck , Derek Beaton , Vincent Guillemot , Cheryl Grady , Herve Abdi , R. Nathan Spreng

Using a probabilistic approach, we derive some interesting combinatorial identities involving gamma and beta functions. These results generalize certain well-known combinatorial identities involving binomial coefficients and special…

Probability · Mathematics 2026-05-15 Palaniappan Vellaisamy , Puja Pandey

A framework of online adaptive statistical compressed sensing is introduced for signals following a mixture model. The scheme first uses non-adaptive measurements, from which an online decoding scheme estimates the model selection. As soon…

Computer Vision and Pattern Recognition · Computer Science 2011-12-30 Julio Duarte-Carvajalino , Guillermo Sapiro , Guoshen Yu , Lawrence Carin

This is the documentation for generating random samples from the quantum state space in accordance with a specified distribution, associated with this webpage: http://tinyurl.com/QSampling . Ready-made samples (each with at least a million…

We present the statistical approach to the combining of signal significances.

Data Analysis, Statistics and Probability · Physics 2007-05-23 Sergey Bityukov , Nikolai Krasnikov , Alexander Nikitenko

Statistical matching is a technique for integrating two or more data sets when information available for matching records for individual participants across data sets is incomplete. Statistical matching can be viewed as a missing data…

Methodology · Statistics 2015-10-14 Jae-kwang Kim , Emily Berg , Taesung Park

Today, more and more open data statistics are published by governments, statistical offices and organizations like the United Nations, The World Bank or Eurostat. This data is freely available and can be consumed by end users in interactive…

Human-Computer Interaction · Computer Science 2015-04-28 Daniel Hienert , Dennis Wegener , Siegfried Schomisch

Estimating mutual information (MI) is a fundamental yet challenging task in data science and machine learning. This work proposes a new estimator for mutual information. Our main discovery is that a preliminary estimate of the data…

Machine Learning · Computer Science 2024-08-20 Yanzhi Chen , Zijing Ou , Adrian Weller , Yingzhen Li

Statistical estimates can often be improved by fusion of data from several different sources. One example is so-called ensemble methods which have been successfully applied in areas such as machine learning for classification and…

Physics and Society · Physics 2013-09-03 Johan Dahlin , Pontus Svenson

This paper lays out the current landscape of tools used in statistics education. In particular, it considers graphing calculators, spreadsheets, applets and microworlds, standalone educational software, statistical programming tools, tools…

Computation · Statistics 2016-10-05 Amelia McNamara

We wish to contribute to the discussion of "Comparing Consensus Monte Carlo Strategies for Distributed Bayesian Computation" by offering our views on the current best methods for Bayesian computation, both at big-data scale and with smaller…

Computation · Statistics 2017-12-15 David Draper , Alexander Terenin

A combinatorial trade is a pair of sets of blocks of elements that can be exchanged while preserving relevant subset intersection constraints. The class of balanced and swap-robust minimal trades was proposed in [1] for exchanging blocks of…

Data Structures and Algorithms · Computer Science 2024-06-24 Jin Sima , Chao Pan , Olgica Milenkovic

Statute retrieval aims to find relevant statutory articles for specific queries. This process is the basis of a wide range of legal applications such as legal advice, automated judicial decisions, legal document drafting, etc. Existing…

Information Retrieval · Computer Science 2024-06-24 Weihang Su , Yiran Hu , Anzhe Xie , Qingyao Ai , Zibing Que , Ning Zheng , Yun Liu , Weixing Shen , Yiqun Liu

This article is a short introduction to Combinatorial Dynamics for topologists.

General Topology · Mathematics 2007-05-23 Michal Misiurewicz

In here, I present a series of combinatorial equalities derived using a graph based approach. Different nodes in the graphs are visited following probabilistic dynamics of a moving dot. The results are presented in such a way that the…

Combinatorics · Mathematics 2022-12-09 Jacques Bourg

Big data has been used widely in many areas including the transportation industry. Using various data sources, traffic states can be well estimated and further predicted for improving the overall operation efficiency. Combined with this…

Machine Learning · Computer Science 2022-02-21 Weiwei Jiang , Jiayun Luo

We survey a range of models of opinion exchange. From the introduction: "The exchange of opinions between individuals is a fundamental social interaction... Moreover, many models in this field are an excellent playground for mathematicians,…

Probability · Mathematics 2017-07-11 Elchanan Mossel , Omer Tamuz

Data clustering is the process of identifying natural groupings or clusters within multidimensional data based on some similarity measure. Clustering is a fundamental process in many different disciplines. Hence, researchers from different…

Machine Learning · Computer Science 2014-08-26 Sibei Yang , Liangde Tao , Bingchen Gong

The concern of this paper is a famous combinatorial formula known under the name "exponential formula". It occurs quite naturally in many contexts (physics, mathematics, computer science). Roughly speaking, it expresses that the exponential…

Discrete Mathematics · Computer Science 2010-11-04 L. Poinsot , G. H. E. Duchamp , S. Goodenough , K. A. Penson

The amount of data in the world is expanding rapidly. Every day, huge amounts of data are created by scientific experiments, companies, and end users' activities. These large data sets have been labeled as "Big Data", and their storage,…

Databases · Computer Science 2020-04-29 Mahdi Bohlouli , Frank Schulz , Lefteris Angelis , David Pahor , Ivona Brandic , David Atlan , Rosemary Tate