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We take an information theoretic perspective on a classical sparse-sampling noisy linear model and present an analytical expression for the mutual information, which plays central role in a variety of communications/processing problems.…

Information Theory · Computer Science 2014-03-25 Wasim Huleihel , Neri Merhav , Shlomo Shamai

Information based thermodynamic logic is revisited. It consists of two parts: Part A applies the modern theory of probability in which an arbitrary convex function \phi is employed as an analytic "device" to express information as…

Statistical Mechanics · Physics 2023-12-07 Bing Miao , Hong Qian , Yong-Shi Wu

We focus on the self-supervised discovery of manipulation concepts that can be adapted and reassembled to address various robotic tasks. We propose that the decision to conceptualize a physical procedure should not depend on how we name it…

Robotics · Computer Science 2024-04-17 Ruizhe Liu , Qian Luo , Yanchao Yang

In a previous report we have evaluated analytically the mutual information between the firing rates of N independent units and a set of continuous+discrete stimuli, for finite N and in the limit of large noise. Here, we extend the analysis…

Disordered Systems and Neural Networks · Physics 2009-11-07 Valeria Del Prete , Alessandro Treves

Intelligent behaviour in the real-world requires the ability to acquire new knowledge from an ongoing sequence of experiences while preserving and reusing past knowledge. We propose a novel algorithm for unsupervised representation learning…

We study the information loss of a class of inference strategies that is solely based on time averaging. For an array of independent binary sensors (e.g., receptors, single electron transistors) measuring a weak random signal (e.g., ligand…

Statistical Mechanics · Physics 2016-10-25 David Hartich , Udo Seifert

This paper introduces the minimum error entropy (MEE) criterion as an advanced information-theoretic loss function tailored for deep learning applications in wireless communications. The MEE criterion leverages higher-order statistical…

Information Theory · Computer Science 2024-11-03 Rumeshika Pallewela , Eslam Eldeeb , Hirley Alves

Annotating datasets is one of the main costs in nowadays supervised learning. The goal of weak supervision is to enable models to learn using only forms of labelling which are cheaper to collect, as partial labelling. This is a type of…

Machine Learning · Computer Science 2021-02-02 Vivien Cabannes , Alessandro Rudi , Francis Bach

Masked Image Modeling (MIM) has become a ubiquitous self-supervised vision paradigm. In this work, we show that MIM objectives cause the learned representations to retain non-semantic information, which ultimately hurts performance during…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Martine Hjelkrem-Tan , Marius Aasan , Rwiddhi Chakraborty , Gabriel Y. Arteaga , Changkyu Choi , Adín Ramírez Rivera

This paper proposes inverse feature learning as a novel supervised feature learning technique that learns a set of high-level features for classification based on an error representation approach. The key contribution of this method is to…

Machine Learning · Computer Science 2020-03-10 Behzad Ghazanfari , Fatemeh Afghah , MohammadTaghi Hajiaghayi

Extracting informative representations from videos is fundamental for effectively learning various downstream tasks. We present a novel approach for unsupervised learning of meaningful representations from videos, leveraging the concept of…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Ali Younes , Simone Schaub-Meyer , Georgia Chalvatzaki

Training convolutional neural networks for image classification tasks usually causes information loss. Although most of the time the information lost is redundant with respect to the target task, there are still cases where discriminative…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Wei Shen , Fei Li , Rujie Liu

The presence of symmetries imposes a stringent set of constraints on a system. This constrained structure allows intelligent agents interacting with such a system to drastically improve the efficiency of learning and generalization, through…

Information Theory · Computer Science 2024-10-03 Hippolyte Charvin , Nicola Catenacci Volpi , Daniel Polani

We introduce a new cost function over experiments, f-information, based on the theory of multivariate statistical divergences, that generalizes Sims's classic model of rational inattention as well as the class of posterior-separable cost…

Theoretical Economics · Economics 2025-10-07 Alex Bloedel , Tommaso Denti , Luciano Pomatto

When training data is sparse, more domain knowledge must be incorporated into the learning algorithm in order to reduce the effective size of the hypothesis space. This paper builds on previous work in which knowledge about qualitative…

Machine Learning · Computer Science 2012-07-09 Eric E. Altendorf , Angelo C. Restificar , Thomas G. Dietterich

In this work, conditional entropy is used to quantify the information loss induced by passing a continuous random variable through a memoryless nonlinear input-output system. We derive an expression for the information loss depending on the…

Information Theory · Computer Science 2012-02-03 Bernhard C. Geiger , Christian Feldbauer , Gernot Kubin

Sparse Autoencoders (SAEs) are a prominent tool in mechanistic interpretability (MI) for decomposing neural network activations into interpretable features. However, the aspiration to identify a canonical set of features is challenged by…

Machine Learning · Computer Science 2025-05-27 Xiangchen Song , Aashiq Muhamed , Yujia Zheng , Lingjing Kong , Zeyu Tang , Mona T. Diab , Virginia Smith , Kun Zhang

Representation learning models exhibit a surprising stability in their internal representations. Whereas most prior work treats this stability as a single property, we formalize it as two distinct concepts: statistical identifiability…

Machine Learning · Computer Science 2026-03-13 Walter Nelson , Marco Fumero , Theofanis Karaletsos , Francesco Locatello

In this paper we formulate the problem of inference under incomplete information in very general terms. This includes modelling the process responsible for the incompleteness, which we call the incompleteness process. We allow the process…

Artificial Intelligence · Computer Science 2014-01-16 Marco Zaffalon , Enrique Miranda

Unsupervised sentence embeddings learning has been recently dominated by contrastive learning methods (e.g., SimCSE), which keep positive pairs similar and push negative pairs apart. The contrast operation aims to keep as much information…

Computation and Language · Computer Science 2022-09-23 Shaobin Chen , Jie Zhou , Yuling Sun , Liang He