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The science of consciousness has made great strides by focusing on the behavioral and neuronal correlates of experience. However, correlates are not enough if we are to understand even basic neurological fact; nor are they of much help in…

Neurons and Cognition · Quantitative Biology 2023-10-15 Giulio Tononi , Christof Koch

We tackle the problem of consciousness by taking the naturally selected, embodied organism as our starting point. We provide a formalism describing how biological systems such as human bodies self-organize to hierarchically interpret…

Artificial Intelligence · Computer Science 2026-03-06 Michael Timothy Bennett , Sean Welsh , Anna Ciaunica

Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique, redundant, and synergistic components? Recent work has…

Information Theory · Computer Science 2018-10-29 Pradeep Kr. Banerjee , Johannes Rauh , Guido Montúfar

Associative memory, traditionally modeled by Hopfield networks, enables the retrieval of previously stored patterns from partial or noisy cues. Yet, the local computational principles which are required to enable this function remain…

Describing statistical dependencies is foundational to empirical scientific research. For uncovering intricate and possibly non-linear dependencies between a single target variable and several source variables within a system, a principled…

Information Theory · Computer Science 2024-03-28 David A. Ehrlich , Kyle Schick-Poland , Abdullah Makkeh , Felix Lanfermann , Patricia Wollstadt , Michael Wibral

Given two channels that convey information about the same random variable, we introduce two measures of the unique information of one channel with respect to the other. The two quantities are based on the notion of generalized weighted Le…

Information Theory · Computer Science 2019-12-10 Pradeep Kr. Banerjee , Eckehard Olbrich , Jürgen Jost , Johannes Rauh

Knowledge distillation deploys complex machine learning models in resource-constrained environments by training a smaller student model to emulate internal representations of a complex teacher model. However, the teacher's representations…

Partial Information Decomposition (PID) was proposed by Williams and Beer in 2010 as a tool for analyzing fine-grained interactions between multiple random variables, and has since found numerous applications ranging from neuroscience to…

Information Theory · Computer Science 2025-10-23 Aobo Lyu , Andrew Clark , Netanel Raviv

Quantifying integrated information is a leading approach towards building a fundamental theory of consciousness. Integrated Information Theory (IIT) has gained attention in this regard due to its theoretically strong framework. However, it…

Information Theory · Computer Science 2016-12-15 Mohit Virmani , Nithin Nagaraj

We present a theoretical framework that extends classical information theory to finite and structured systems by redefining redundancy as a fundamental property of information organization rather than inefficiency. In this framework,…

Machine Learning · Computer Science 2025-10-14 Yuda Bi , Ying Zhu , Vince D Calhoun

Partial information decompositions (PIDs), which quantify information interactions between three or more variables in terms of uniqueness, redundancy and synergy, are gaining traction in many application domains. However, our understanding…

Information Theory · Computer Science 2023-02-24 Praveen Venkatesh , Keerthana Gurushankar , Gabriel Schamberg

The Integrated Information Theory (IIT) might be our current best bet at a scientific explanation of phenomenal consciousness. IIT focuses on the distinctively subjective and phenomenological aspects of conscious experience. Currently, it…

Neurons and Cognition · Quantitative Biology 2025-05-06 Azenet Lopez , Carlos Montemayor

We propose new measures of shared information, unique information and synergistic information that can be used to decompose the multi-information of a pair of random variables $(Y,Z)$ with a third random variable $X$. Our measures are…

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

What is the most crucial characteristic of a system with life activity? Currently, many theories have attempted to explain the most essential difference between living systems and general systems, such as the self-organization theory and…

Molecular Networks · Quantitative Biology 2025-01-29 Mingzhe Yang , Linli Pan , Jiang Zhang

The uniform information density (UID) hypothesis posits a preference among language users for utterances structured such that information is distributed uniformly across a signal. While its implications on language production have been well…

Computation and Language · Computer Science 2021-09-27 Clara Meister , Tiago Pimentel , Patrick Haller , Lena Jäger , Ryan Cotterell , Roger Levy

Deep neural networks (DNNs) have witnessed great successes in semantic segmentation, which requires a large number of labeled data for training. We present a novel learning framework called Uncertainty guided Cross-head Co-training (UCC)…

Computer Vision and Pattern Recognition · Computer Science 2023-02-24 Jiashuo Fan , Bin Gao , Huan Jin , Lihui Jiang

The interactions between three or more random variables are often nontrivial, poorly understood, and yet, are paramount for future advances in fields such as network information theory, neuroscience, genetics and many others. In this work,…

Information Theory · Computer Science 2016-04-20 Fernando Rosas , Vasilis Ntranos , Christopher J. Ellison , Sofie Pollin , Marian Verhelst

The purpose of this article is to provide an overall critical appraisal of Integrated Information Theory(IIT) of consciousness. We explore how it has evolved and what problems are involved in the theory. IIT is a hypothesis that…

Neurons and Cognition · Quantitative Biology 2018-10-02 Kyumin Moon , Hongju Pae

We seek general principles of the structure of the cellular collective activity associated with conscious awareness. Can we obtain evidence for features of the optimal brain organization that allows for adequate processing of stimuli and…

Neurons and Cognition · Quantitative Biology 2017-12-27 D. M. Mateos , R. Wennberg , R. Guevara , J. L. Perez Velazquez

In service to the mathematical underpinnings of the Information Integration Theory of Consciousness (IIT), we introduce four measures of integration based on the partial information decomposition framework. We compare our measures to…

Information Theory · Computer Science 2026-05-19 Virgil Griffith