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Multivariate pattern analyses approaches in neuroimaging are fundamentally concerned with investigating the quantity and type of information processed by various regions of the human brain; typically, estimates of classification accuracy…

Machine Learning · Statistics 2016-10-11 Charles Y. Zheng , Yuval Benjamini

Mutual information (MI) is a fundamental measure of statistical dependence, with a myriad of applications to information theory, statistics, and machine learning. While it possesses many desirable structural properties, the estimation of…

Information Theory · Computer Science 2021-10-19 Ziv Goldfeld , Kristjan Greenewald

Measuring model performance is a key issue for deep learning practitioners. However, we often lack the ability to explain why a specific architecture attains superior predictive accuracy for a given data set. Often, validation accuracy is…

Machine Learning · Computer Science 2022-04-01 Marius C. Landverk , Signe Riemer-Sørensen

Recently, Mutual Information (MI) has attracted attention in bounding the generalization error of Deep Neural Networks (DNNs). However, it is intractable to accurately estimate the MI in DNNs, thus most previous works have to relax the MI…

Machine Learning · Computer Science 2021-06-21 Xinjie Lan , Kenneth Barner

Retrieval-based augmentations (RA) incorporating knowledge from an external database into language models have greatly succeeded in various knowledge-intensive (KI) tasks. However, integrating retrievals in non-knowledge-intensive (NKI)…

Computation and Language · Computer Science 2024-05-28 Shangyu Wu , Ying Xiong , Yufei Cui , Xue Liu , Buzhou Tang , Tei-Wei Kuo , Chun Jason Xue

One way of introducing sparsity into deep networks is by attaching an external table of parameters that is sparsely looked up at different layers of the network. By storing the bulk of the parameters in the external table, one can increase…

Machine Learning · Computer Science 2023-02-02 Cenk Baykal , Dylan J Cutler , Nishanth Dikkala , Nikhil Ghosh , Rina Panigrahy , Xin Wang

While the linear Pearson correlation coefficient represents a well-established normalized measure to quantify the interrelation of two stochastic variables $X$ and $Y$, it fails for multidimensional variables such as Cartesian coordinates.…

Data Analysis, Statistics and Probability · Physics 2024-09-19 Daniel Nagel , Georg Diez , Gerhard Stock

The estimation of mutual information (MI) or conditional mutual information (CMI) from a set of samples is a long-standing problem. A recent line of work in this area has leveraged the approximation power of artificial neural networks and…

Information Theory · Computer Science 2021-10-27 Sina Molavipour , Germán Bassi , Mikael Skoglund

Data augmentation is an essential technique for improving recognition accuracy in object recognition using deep learning. Methods that generate mixed data from multiple data sets, such as mixup, can acquire new diversity that is not…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Shungo Fujii , Yasunori Ishii , Kazuki Kozuka , Tsubasa Hirakawa , Takayoshi Yamashita , Hironobu Fujiyoshi

This paper proposes a theoretical framework which models the information provided by retrieval systems in terms of Information Theory. The proposed framework allows to formalize: (i) system effectiveness as an information theoretic…

Information Retrieval · Computer Science 2018-09-17 Enrique Amigó , Fernando Giner , Stefano Mizzaro , Damiano Spina

Mutual information is widely used in artificial intelligence, in a descriptive way, to measure the stochastic dependence of discrete random variables. In order to address questions such as the reliability of the empirical value, one must…

Artificial Intelligence · Computer Science 2008-06-26 Marco Zaffalon , Marcus Hutter

Mutual information is widely used in artificial intelligence, in a descriptive way, to measure the stochastic dependence of discrete random variables. In order to address questions such as the reliability of the empirical value, one must…

Artificial Intelligence · Computer Science 2014-08-08 Marco Zaffalon , Marcus Hutter

Mutual information (MI) minimization has gained considerable interests in various machine learning tasks. However, estimating and minimizing MI in high-dimensional spaces remains a challenging problem, especially when only samples, rather…

Machine Learning · Computer Science 2020-07-27 Pengyu Cheng , Weituo Hao , Shuyang Dai , Jiachang Liu , Zhe Gan , Lawrence Carin

We study the problem of discovering joinable datasets at scale. This is, how to automatically discover pairs of attributes in a massive collection of independent, heterogeneous datasets that can be joined. Exact (e.g., based on distinct…

Databases · Computer Science 2020-12-07 Javier Flores , Sergi Nadal , Oscar Romero

We study the problem of discovering joinable datasets at scale. We approach the problem from a learning perspective relying on profiles. These are succinct representations that capture the underlying characteristics of the schemata and data…

Databases · Computer Science 2023-06-01 Sergi Nadal , Raquel Panadero , Javier Flores , Oscar Romero

We present a method for hierarchical clustering of data called {\it mutual information clustering} (MIC) algorithm. It uses mutual information (MI) as a similarity measure and exploits its grouping property: The MI between three objects $X,…

Quantitative Methods · Quantitative Biology 2007-05-23 Alexander Kraskov , Harald Stoegbauer , Ralph G. Andrzejak , Peter Grassberger

It is crucial to provide real-time performance in many applications, such as interactive and exploratory data analysis. In these settings, users often need to view subsets of query results quickly. It is challenging to deliver such results…

We propose a novel estimator of the mutual information between two ordinal vectors $x$ and $y$. Our approach is inductive (as opposed to deductive) in that it depends on the data generating distribution solely through some nonparametric…

Machine Learning · Statistics 2022-04-12 Yves-Laurent Kom Samo

Socially-based recommendation systems have recently attracted significant interest, and a number of studies have shown that social information can dramatically improve a system's predictions of user interests. Meanwhile, there are now many…

Information Retrieval · Computer Science 2015-06-19 Ko-Jen Hsiao , Alex Kulesza , Alfred Hero

In network science, researchers often use mutual information to understand the difference between network partitions produced by community detection methods. Here we extend the use of mutual information to covers, that is, the cases where a…

Mathematical Physics · Physics 2012-02-03 Alcides Viamontes Esquivel , Martin Rosvall
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