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In many research contexts, especially in the biomedical field, after studying and developing a classification system a natural question arises: "Is this accuracy enough high?", or better, "Can we say, with a statistically significant…

Methodology · Statistics 2023-06-13 Manuele Bicego , Antonella Mensi

The normalized information distance is a universal distance measure for objects of all kinds. It is based on Kolmogorov complexity and thus uncomputable, but there are ways to utilize it. First, compression algorithms can be used to…

Information Retrieval · Computer Science 2008-09-16 Paul M. B. Vitanyi , Frank J. Balbach , Rudi L. Cilibrasi , Ming Li

An accurate description of information is relevant for a range of problems in atomistic machine learning (ML), such as crafting training sets, performing uncertainty quantification (UQ), or extracting physical insights from large datasets.…

Materials Science · Physics 2025-05-02 Daniel Schwalbe-Koda , Sebastien Hamel , Babak Sadigh , Fei Zhou , Vincenzo Lordi

The partial information decomposition (PID) and its extension integrated information decomposition ($\Phi$ID) are promising frameworks to investigate information phenomena involving multiple variables. An important limitation of these…

Information Theory · Computer Science 2024-10-10 Abel Jansma , Pedro A. M. Mediano , Fernando E. Rosas

A knowledge system S describing a part of real world does in general not contain complete information. Reasoning with incomplete information is prone to errors since any belief derived from S may be false in the present state of the world.…

Artificial Intelligence · Computer Science 2011-05-20 Eliezer L. Lozinskii

This paper introduces a comprehensive framework for Financial Information Theory by applying information-theoretic concepts such as entropy, Kullback-Leibler divergence, mutual information, normalized mutual information, and transfer…

Portfolio Management · Quantitative Finance 2025-11-21 Miquel Noguer i Alonso

Integrated Information Theory (IIT) has emerged as one of the leading research lines in computational neuroscience to provide a mechanistic and mathematically well-defined description of the neural correlates of consciousness. Integrated…

Quantum Physics · Physics 2018-12-11 Paolo Zanardi , Michael Tomka , Lorenzo Campos Venuti

In this paper, we propose a new discriminative model named \emph{nonextensive information theoretical machine (NITM)} based on nonextensive generalization of Shannon information theory. In NITM, weight parameters are treated as random…

Machine Learning · Computer Science 2016-04-22 Chaobing Song , Shu-Tao Xia

A growing interest in complex networks theory results in an ongoing demand for new analytical tools. We propose a novel measure based on information theory that provides a new perspective for a better understanding of networked systems:…

Neurons and Cognition · Quantitative Biology 2019-05-30 Aline Viol , Vesna Vuksanović , Philipp Hövel

Complex systems are increasingly being viewed as distributed information processing systems, particularly in the domains of computational neuroscience, bioinformatics and Artificial Life. This trend has resulted in a strong uptake in the…

Information Theory · Computer Science 2014-12-04 Joseph T. Lizier

We present PAODING, a toolkit to debloat pretrained neural network models through the lens of data-free pruning. To preserve the model fidelity, PAODING adopts an iterative process, which dynamically measures the effect of deleting a neuron…

Machine Learning · Computer Science 2025-06-19 Mark Huasong Meng , Hao Guan , Liuhuo Wan , Sin Gee Teo , Guangdong Bai , Jin Song Dong

In this work, we introduce InfoDisent, a hybrid approach to explainability based on the information bottleneck principle. InfoDisent enables the disentanglement of information in the final layer of any pretrained model into atomic concepts,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-07 Łukasz Struski , Dawid Rymarczyk , Jacek Tabor

Training language models to learn from human instructions for zero-shot cross-task generalization has attracted much attention in NLP communities. Recently, instruction tuning (IT), which fine-tunes a pre-trained language model on a massive…

Computation and Language · Computer Science 2022-10-18 Yuxian Gu , Pei Ke , Xiaoyan Zhu , Minlie Huang

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

Neurons and Cognition · Quantitative Biology 2015-01-09 Robin A. A. Ince , Simon R. Schultz , Stefano Panzeri

Label noise presents a fundamental challenge in modern machine learning, especially when large-scale datasets are generated via automated processes. An increasingly common and important data paradigm, particularly in domains like medical…

Methodology · Statistics 2026-04-29 Zhu Guojun , Zhang Sanguo , Ren Mingyang

A central challenge in analyzing multivariate interactions within complex systems is to decompose how multiple inputs jointly determine an output. Existing approaches generally operate on observed probability distributions and can conflate…

Information Theory · Computer Science 2026-03-19 Clifford Bohm , Vincent R. Ragusa , Arend Hintze , Charles Ofria , Emily Dolson , Christoph Adami

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…

Accurately annotating large scale dataset is notoriously expensive both in time and in money. Although acquiring low-quality-annotated dataset can be much cheaper, it often badly damages the performance of trained models when using such…

Machine Learning · Computer Science 2019-11-05 Yilun Xu , Peng Cao , Yuqing Kong , Yizhou Wang

We investigate the problem of compound estimation of normal means while accounting for the presence of side information. Leveraging the empirical Bayes framework, we develop a nonparametric integrative Tweedie (NIT) approach that…

Methodology · Statistics 2025-02-17 Jiajun Luo , Trambak Banerjee , Gourab Mukherjee , Wenguang Sun

Conditional independence testing (CIT) is a common task in machine learning, e.g., for variable selection, and a main component of constraint-based causal discovery. While most current CIT approaches assume that all variables are numerical…

Machine Learning · Computer Science 2023-11-07 Oana-Iuliana Popescu , Andreas Gerhardus , Jakob Runge