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Existing methods for differentiable structure learning in discrete data typically assume that the data are generated from specific structural equation models. However, these assumptions may not align with the true data-generating process,…

Machine Learning · Computer Science 2025-10-28 Chang Deng , Bryon Aragam

Recent advances in large language models (LLMs) have revolutionized natural language processing, yet evaluating their intrinsic linguistic understanding remains challenging. Moving beyond specialized evaluation tasks, we propose an…

Computation and Language · Computer Science 2025-06-02 Shaojie Wang , Sirui Ding , Na Zou

We present a dynamic prediction framework for binary sequences that is based on a Bernoulli generalization of the auto-regressive process. Our approach lends itself easily to variants of the standard link prediction problem for a sequence…

Machine Learning · Statistics 2020-07-24 Xiaohan Yan , Avleen S. Bijral

We demonstrate that the algorithmic information content of a system is deeply connected to its potential dynamics, thus affording an avenue for moving systems in the information-theoretic space and controlling them in the phase space. To…

Other Quantitative Biology · Quantitative Biology 2018-04-06 Hector Zenil , Narsis A. Kiani , Francesco Marabita , Yue Deng , Szabolcs Elias , Angelika Schmidt , Gordon Ball , Jesper Tegnér

We introduce a novel Mutual Information (MI) estimator that fundamentally reframes the discriminative approach. Instead of training a classifier to discriminate between joint and marginal distributions, we learn a normalizing flow that…

Machine Learning · Computer Science 2026-02-10 Ivan Butakov , Alexander Semenenko , Valeriya Kirova , Alexey Frolov , Ivan Oseledets

The advancements in disentangled representation learning significantly enhance the accuracy of counterfactual predictions by granting precise control over instrumental variables, confounders, and adjustable variables. An appealing method…

Machine Learning · Computer Science 2024-06-17 Xinshu Li , Mingming Gong , Lina Yao

We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections, a problem relevant in compressed sensing, sparse superposition codes or code division multiple access just to cite few. There has…

Information Theory · Computer Science 2017-03-24 Jean Barbier , Mohamad Dia , Nicolas Macris , Florent Krzakala

Experimental data is often comprised of variables measured independently, at different sampling rates (non-uniform ${\Delta}$t between successive measurements); and at a specific time point only a subset of all variables may be sampled.…

Machine Learning · Computer Science 2023-05-01 Saurabh Malani , Tom S. Bertalan , Tianqi Cui , Jose L. Avalos , Michael Betenbaugh , Ioannis G. Kevrekidis

Estimating the strength of dependency between two variables is fundamental for exploratory analysis and many other applications in data mining. For example: non-linear dependencies between two continuous variables can be explored with the…

Machine Learning · Statistics 2016-01-21 Simone Romano , Nguyen Xuan Vinh , James Bailey , Karin Verspoor

Motivation: Clustering is a frequently used concept in variety of bioinformatical applications. We present a new method for hierarchical clustering of data called mutual information clustering (MIC) algorithm. It uses mutual information…

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

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

This paper proposes the estimation of a mutual shape from a set of different segmentation results using both active contours and information theory. The mutual shape is here defined as a consensus shape estimated from a set of different…

Image and Video Processing · Electrical Eng. & Systems 2021-02-18 S. Jehan-Besson , R. Clouard , C. Tilmant , A. de Cesare , A. Lalande , J. Lebenberg , P. Clarysse , L. Sarry , F. Frouin , M. Garreau

Data scientists across disciplines are increasingly in need of exploratory analysis tools for data sets with a high volume of features of mixed data type (quantitative continuous and discrete categorical). We introduce Sirius, a novel…

Learning disentangled representations of textual data is essential for many natural language tasks such as fair classification, style transfer and sentence generation, among others. The existent dominant approaches in the context of text…

Artificial Intelligence · Computer Science 2021-05-07 Pierre Colombo , Chloe Clavel , Pablo Piantanida

Computational imaging methods that can exploit multiple modalities have the potential to enhance the capabilities of traditional sensing systems. In this paper, we propose a new method that reconstructs multimodal images from their linear…

Computer Vision and Pattern Recognition · Computer Science 2017-06-15 Kevin Degraux , Ulugbek S. Kamilov , Petros T. Boufounos , Dehong Liu

Using a probabilistic approach, we derive some interesting combinatorial identities involving gamma and beta functions. These results generalize certain well-known combinatorial identities involving binomial coefficients and special…

Probability · Mathematics 2026-05-15 Palaniappan Vellaisamy , Puja Pandey

Reinforcement Learning (RL) environments can produce training data with spurious correlations between features due to the amount of training data or its limited feature coverage. This can lead to RL agents encoding these misleading…

Machine Learning · Computer Science 2023-10-13 Mhairi Dunion , Trevor McInroe , Kevin Sebastian Luck , Josiah P. Hanna , Stefano V. Albrecht

The amount of information exchanged per unit of time between two nodes in a dynamical network or between two data sets is a powerful concept for analysing complex systems. This quantity, known as the mutual information rate (MIR), is…

Chaotic Dynamics · Physics 2015-05-27 M. S. Baptista , R. M. Rubinger , E. R. V. Junior , J. C. Sartorelli , U. Parlitz , C. Grebogi

The rapid evolution of artificial intelligence has led to expectations of transformative impact on science, yet current systems remain fundamentally limited in enabling genuine scientific discovery. This perspective contends that progress…

Artificial Intelligence · Computer Science 2025-12-16 Karthik Duraisamy

Sliced Mutual Information (SMI) is widely used as a scalable alternative to mutual information for measuring non-linear statistical dependence. Despite its advantages, such as faster convergence, robustness to high dimensionality, and…

Machine Learning · Computer Science 2025-12-10 Alexander Semenenko , Ivan Butakov , Alexey Frolov , Ivan Oseledets
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