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How can the information that a set ${X_{1},...,X_{n}}$ of random variables contains about another random variable $S$ be decomposed? To what extent do different subgroups provide the same, i.e. shared or redundant, information, carry unique…

Information Theory · Computer Science 2014-06-18 Nils Bertschinger , Johannes Rauh , Eckehard Olbrich , Jürgen Jost

This paper provides an extension of compressed sensing which bridges a substantial gap between existing theory and its current use in real-world applications. It introduces a mathematical framework that generalizes the three standard…

Information Theory · Computer Science 2014-06-24 Ben Adcock , Anders C. Hansen , Clarice Poon , Bogdan Roman

Humans communicate using systems of interconnected stimuli or concepts -- from language and music to literature and science -- yet it remains unclear how, if at all, the structure of these networks supports the communication of information.…

Physics and Society · Physics 2020-03-27 Christopher W. Lynn , Lia Papadopoulos , Ari E. Kahn , Danielle S. Bassett

Predictions for physical systems often rely upon knowledge acquired from ensembles of entities, e.g., ensembles of cells in biological sciences. For qualitative and quantitative analysis, these ensembles are simulated with parametric…

Machine Learning · Statistics 2023-09-28 Timothy Rumbell , Jaimit Parikh , James Kozloski , Viatcheslav Gurev

In this paper the theory of semi-bounded rationality is proposed as an extension of the theory of bounded rationality. In particular, it is proposed that a decision making process involves two components and these are the correlation…

Artificial Intelligence · Computer Science 2013-05-28 Tshilidzi Marwala

Striking progress has recently been made in understanding human cognition by analyzing how its neuronal underpinnings are engaged in different modes of information processing. Specifically, neural information can be decomposed into…

Neurons and Cognition · Quantitative Biology 2022-10-07 Alexandra M. Proca , Fernando E. Rosas , Andrea I. Luppi , Daniel Bor , Matthew Crosby , Pedro A. M. Mediano

Unsupervised learning plays an important role in many fields, such as artificial intelligence, machine learning, and neuroscience. Compared to static data, methods for extracting low-dimensional structure for dynamic data are lagging. We…

Machine Learning · Computer Science 2022-03-07 Rui Meng , Tianyi Luo , Kristofer Bouchard

R\'enyi's information provides a theoretical foundation for tractable and data-efficient non-parametric density estimation, based on pair-wise evaluations in a reproducing kernel Hilbert space (RKHS). This paper extends this framework to…

Machine Learning · Computer Science 2022-03-09 Bo Hu , Shujian Yu , Jose C. Principe

Biological and artificial neural systems are composed of many local processors, and their capabilities depend upon the transfer function that relates each local processor's outputs to its inputs. This paper uses a recent advance in the…

Information Theory · Computer Science 2018-03-16 Jim W. Kay , William A. Phillips

The task of rationalization aims to extract pieces of input text as rationales to justify neural network predictions on text classification tasks. By definition, rationales represent key text pieces used for prediction and thus should have…

Computation and Language · Computer Science 2021-06-02 Yongfeng Huang , Yujun Chen , Yulun Du , Zhilin Yang

Neurons perform computations, and convey the results of those computations through the statistical structure of their output spike trains. Here we present a practical method, grounded in the information-theoretic analysis of prediction, for…

Neurons and Cognition · Quantitative Biology 2022-03-18 Robert Haslinger , Kristina Lisa Klinkner , Cosma Rohilla Shalizi

To analyze high-dimensional systems, many fields in science and engineering rely on high-level descriptions, sometimes called "macrostates," "coarse-grainings," or "effective theories". Examples of such descriptions include the…

Information Theory · Computer Science 2015-06-19 David H. Wolpert , Joshua A. Grochow , Eric Libby , Simon DeDeo

In this age of information, images are a critical medium for storing and transmitting information. With the rapid growth of image data amount, visual compression and visual data perception are two important research topics attracting a lot…

Image and Video Processing · Electrical Eng. & Systems 2024-07-02 Yuefeng Zhang , Chuanmin Jia , Jiannhui Chang , Siwei Ma

A unified theory of language combines a Bayesian cognitive linguistic model of language processing, with the proposal that language evolved by sexual selection for the display of intelligence. The theory accounts for the major facts of…

Neurons and Cognition · Quantitative Biology 2025-08-29 Robert Worden

Mechanistic interpretability aims to explain neural model behaviour by reverse-engineering learned computational structure into human-understandable components. Without a formal framework, however, mechanistic explanations cannot be…

Machine Learning · Computer Science 2026-05-12 Ward Gauderis , Thomas Dooms , Steven T. Holmer , Kola Ayonrinde , Geraint A. Wiggins

State-of-the-art learned reconstruction methods often rely on black-box modules that, despite their strong performance, raise questions about their interpretability and robustness. Here, we build on a recently proposed image reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2026-05-19 Joshua Schulz , David Schote , Christoph Kolbitsch , Kostas Papafitsoros , Andreas Kofler

Over the past decade, AI has made a remarkable progress. It is agreed that this is due to the recently revived Deep Learning technology. Deep Learning enables to process large amounts of data using simplified neuron networks that simulate…

Artificial Intelligence · Computer Science 2015-02-19 Emanuel Diamant

This article addresses an open problem in the area of cognitive systems and architectures: namely the problem of handling (in terms of processing and reasoning capabilities) complex knowledge structures that can be at least plausibly…

Artificial Intelligence · Computer Science 2015-11-30 Antonio Lieto

In this paper, we delve into the challenge of optimizing joint communication and computation for semantic communication over wireless networks using a probability graph framework. In the considered model, the base station (BS) extracts the…

Information Theory · Computer Science 2025-04-09 Zhouxiang Zhao , Zhaohui Yang , Xu Gan , Quoc-Viet Pham , Chongwen Huang , Wei Xu , Zhaoyang Zhang

This paper describes a new approach for learning structures of large Bayesian networks based on blocks resulting from feature space clustering. This clustering is obtained using normalized mutual information. And the subsequent aggregation…

Machine Learning · Statistics 2022-08-30 Anna V. Bubnova