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The partial information decomposition (PID) is a promising framework for decomposing a joint random variable into the amount of influence each source variable Xi has on a target variable Y, relative to the other sources. For two sources,…

Information Theory · Computer Science 2019-01-30 Ryan G. James , Jeffrey Emenheiser , James P. Crutchfield

Bivariate Partial Information Decomposition (PID) describes how the mutual information between a random variable M and two random variables Y and Z is decomposed into unique, redundant, and synergistic terms. Recently, PID has shown promise…

Information Theory · Computer Science 2023-05-12 Chaitanya Goswami , Amanda Merkley , Pulkit Grover

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…

We expose a critical limitation in current approaches to machine unlearning in language models: despite the apparent success of unlearning algorithms, information about the forgotten data remains linearly decodable from internal…

Machine Learning · Computer Science 2026-01-22 Anmol Goel , Alan Ritter , Iryna Gurevych

One of the most important parts of cloud computing is storage devices, and Redundant Array of Independent Disks (RAID) systems are well known and frequently used storage devices. With the increasing production of data in cloud environments,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-06 Leila Namvari-Tazehkand , Saeid Pashazadeh

We consider the problem of decomposing the total mutual information conveyed by a pair of predictor random variables about a target random variable into redundant, unique and synergistic contributions. We focus on the relationship between…

Information Theory · Computer Science 2015-09-15 Pradeep Kr. Banerjee , Virgil Griffith

The recent explosion of interest in multimodal applications has resulted in a wide selection of datasets and methods for representing and integrating information from different modalities. Despite these empirical advances, there remain…

A new high-level implementation independent functional fault model for control faults in microprocessors is introduced. The fault model is based on the instruction set, and is specified as a set of data constraints to be satisfied by test…

Hardware Architecture · Computer Science 2019-07-30 Adeboye Stephen Oyeniran , Raimund Ubar , Maksim Jenihhin , Cemil Cem Gursoy , Jaan Raik

Mutual information among three or more dimensions (mu-star = - Q) has been considered as interaction information. However, Krippendorff (2009a, 2009b) has shown that this measure cannot be interpreted as a unique property of the…

Information Retrieval · Computer Science 2010-01-08 Loet Leydesdorff

Redundancy of experimental data is the basic statistic from which the complexity of a natural phenomenon and the proper number of experiments needed for its exploration can be estimated. The redundancy is expressed by the entropy of…

Data Analysis, Statistics and Probability · Physics 2007-10-10 I. Grabec

In this work the information loss in deterministic, memoryless systems is investigated by evaluating the conditional entropy of the input random variable given the output random variable. It is shown that for a large class of systems the…

Information Theory · Computer Science 2013-04-18 Bernhard C. Geiger , Gernot Kubin

Serial-parallel redundancy is a reliable way to ensure service and systems will be available in cloud computing. That method involves making copies of the same system or program, with only one remaining active. When an error occurs, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-08 Gutha Jaya Krishna

The minimum average number of bits need to describe a random variable is its entropy, assuming knowledge of the underlying statistics On the other hand, universal compression supposes that the distribution of the random variable, while…

Information Theory · Computer Science 2014-04-02 Maryam Hosseini , Narayana Santhanam

Multimodal learning aims to improve performance by leveraging data from multiple sources. During joint multimodal training, due to modality bias, the advantaged modality often dominates backpropagation, leading to imbalanced optimization.…

Machine Learning · Computer Science 2025-11-19 Zhe Yang , Wenrui Li , Hongtao Chen , Penghong Wang , Ruiqin Xiong , Xiaopeng Fan

A new approach called RESID is proposed in this paper for estimating reliability of a software allowing for imperfect debugging. Unlike earlier approaches based on counting number of bugs or modelling inter-failure time gaps, RESID focuses…

Applications · Statistics 2011-04-19 Arnab Chakraborty

Bivariate partial information decompositions (PIDs) characterize how the information in a "message" random variable is decomposed between two "constituent" random variables in terms of unique, redundant and synergistic information…

Information Theory · Computer Science 2023-07-21 Praveen Venkatesh , Gabriel Schamberg

Fault tolerance is a critical aspect of modern computing systems, ensuring correct functionality in the presence of faults. This paper presents a comprehensive survey of fault tolerance methods and software-based mitigation techniques in…

Systems and Control · Electrical Eng. & Systems 2024-04-17 Mohammadreza Amel Solouki , Shaahin Angizi , Massimo Violante

Complex systems, from the human brain to the global economy, are made of multiple elements that interact in such ways that the behaviour of the `whole' often seems to be more than what is readily explainable in terms of the `sum of the…

Neurons and Cognition · Quantitative Biology 2021-09-28 Pedro A. M. Mediano , Fernando E. Rosas , Andrea I Luppi , Robin L. Carhart-Harris , Daniel Bor , Anil K. Seth , Adam B. Barrett

Most information dynamics and statistical causal analysis frameworks rely on the common intuition that causal interactions are intrinsically pairwise -- every 'cause' variable has an associated 'effect' variable, so that a 'causal arrow'…

Neurons and Cognition · Quantitative Biology 2019-09-06 Pedro A. M. Mediano , Fernando Rosas , Robin L. Carhart-Harris , Anil K. Seth , Adam B. Barrett

We propose uncommon self-knowledge (USK) as a candidate criterion for consciousness: synergistic information a system carries about itself that exists only in the joint of its subsystems and is destroyed by decomposition. Drawing on…

Neurons and Cognition · Quantitative Biology 2026-05-15 Krti Tallam