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Matrix completion is a fundamental problem that comes up in a variety of applications like the Netflix problem, collaborative filtering, computer vision, and crowdsourcing. The goal of the problem is to recover a k-by-n unknown matrix from…

Information Theory · Computer Science 2014-02-19 Changho Suh

A unified combinatorial definition of the information content and entropy of different types of patterns, compatible with the traditional concepts of information and entropy, going beyond the limitations of Shannon information interpretable…

Information Theory · Computer Science 2025-01-22 Zsolt Pocze

The quintessential model-based reinforcement-learning agent iteratively refines its estimates or prior beliefs about the true underlying model of the environment. Recent empirical successes in model-based reinforcement learning with…

Machine Learning · Computer Science 2022-06-07 Dilip Arumugam , Benjamin Van Roy

A new finite form of de Finetti's representation theorem is established using elementary information-theoretic tools. The distribution of the first $k$ random variables in an exchangeable vector of $n\geq k$ random variables is close to a…

Information Theory · Computer Science 2024-04-29 Mario Berta , Lampros Gavalakis , Ioannis Kontoyiannis

We show state-of-the-art word representation learning methods maximize an objective function that is a lower bound on the mutual information between different parts of a word sequence (i.e., a sentence). Our formulation provides an…

Computation and Language · Computer Science 2019-11-27 Lingpeng Kong , Cyprien de Masson d'Autume , Wang Ling , Lei Yu , Zihang Dai , Dani Yogatama

One of the main drawbacks of the practical use of neural networks is the long time required in the training process. Such a training process consists of an iterative change of parameters trying to minimize a loss function. These changes are…

Machine Learning · Computer Science 2024-03-14 Rocio Gonzalez-Diaz , Miguel A. Gutiérrez-Naranjo , Eduardo Paluzo-Hidalgo

A wide range of machine learning applications such as privacy-preserving learning, algorithmic fairness, and domain adaptation/generalization among others, involve learning invariant representations of the data that aim to achieve two…

Machine Learning · Computer Science 2022-11-24 Han Zhao , Chen Dan , Bryon Aragam , Tommi S. Jaakkola , Geoffrey J. Gordon , Pradeep Ravikumar

With the rising interest in graph representation learning, a variety of approaches have been proposed to effectively capture a graph's properties. While these approaches have improved performance in graph machine learning tasks compared to…

Machine Learning · Computer Science 2019-10-09 Antonia Gogoglou , C. Bayan Bruss , Keegan E. Hines

We study the problem of learning representations with controllable connectivity properties. This is beneficial in situations when the imposed structure can be leveraged upstream. In particular, we control the connectivity of an…

Machine Learning · Computer Science 2019-06-24 Christoph Hofer , Roland Kwitt , Mandar Dixit , Marc Niethammer

In this paper we address the problem of systems under an external feedback. This is performed using a large deviation approach and rate distortion from information theory. In particular we define a lower boundary for the maximum entropy…

Statistical Mechanics · Physics 2016-04-18 Alessio Gagliardi , Alessandro Pecchia , Aldo Di Carlo

In standard methodology for natural language processing, entities in text are typically embedded in dense vector spaces with pre-trained models. The embeddings produced this way are effective when fed into downstream models, but they…

Computation and Language · Computer Science 2020-10-14 Yasumasa Onoe , Greg Durrett

Unsupervised learning allows us to leverage unlabelled data, which has become abundantly available, and to create embeddings that are usable on a variety of downstream tasks. However, the typical lack of interpretability of unsupervised…

Machine Learning · Computer Science 2023-09-29 Gregory Scafarto , Madalina Ciortan , Simon Tihon , Quentin Ferre

This letter exposes a tight connection between the thermodynamic efficiency of information processing and predictive inference. A generalized lower bound on dissipation is derived for partially observable information engines which are…

Statistical Mechanics · Physics 2020-02-12 Susanne Still

Uncertainty estimation in machine learning has traditionally focused on the prediction stage, aiming to quantify confidence in model outputs while treating learned representations as deterministic and reliable by default. In this work, we…

Machine Learning · Statistics 2026-02-20 Yiyao Yang

Neural network architectures have been extensively employed in the fair representation learning setting, where the objective is to learn a new representation for a given vector which is independent of sensitive information. Various…

Machine Learning · Computer Science 2022-02-08 Mattia Cerrato , Alesia Vallenas Coronel , Marius Köppel , Alexander Segner , Roberto Esposito , Stefan Kramer

The principle of maximum entropy is a broadly applicable technique for computing a distribution with the least amount of information possible while constrained to match empirically estimated feature expectations. However, in many real-world…

Machine Learning · Computer Science 2022-08-16 Kenneth Bogert , Yikang Gui , Prashant Doshi

Sequential decision making techniques hold great promise to improve the performance of many real-world systems, but computational complexity hampers their principled application. Influence-based abstraction aims to gain leverage by modeling…

Artificial Intelligence · Computer Science 2021-02-24 Elena Congeduti , Alexander Mey , Frans A. Oliehoek

The principles of statistical mechanics and information theory play an important role in learning and have inspired both theory and the design of numerous machine learning algorithms. The new aspect in this paper is a focus on integrating…

Data Analysis, Statistics and Probability · Physics 2015-05-13 Susanne Still

The thesis proposes the problem of representation heterogeneity to emphasize the fact that heterogeneity is an intrinsic property of any representation, wherein, different observers encode different representations of the same target…

Databases · Computer Science 2025-04-17 Mayukh Bagchi

Living organisms rely on internal models of the world to act adaptively. These models, because of resource limitations, cannot encode every detail and hence need to compress information. From a cognitive standpoint, information compression…

Neurons and Cognition · Quantitative Biology 2025-02-18 Leo D'Amato , Gian Luca Lancia , Giovanni Pezzulo