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Exactly solvable neural network models with asymmetric weights are rare, and exact solutions are available only in some mean-field approaches. In this article we find exact analytical solutions of an asymmetric spin-glass-like model of…

Neurons and Cognition · Quantitative Biology 2017-02-16 Diego Fasoli , Anna Cattani , Stefano Panzeri

Well-calibrated probabilistic regression models are a crucial learning component in robotics applications as datasets grow rapidly and tasks become more complex. Unfortunately, classical regression models are usually either probabilistic…

Machine Learning · Computer Science 2023-09-12 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

We are interested in building collaborative filtering models for recommendation systems where users interact with slates instead of individual items. These slates can be hierarchical in nature. The central idea of our approach is to learn…

Information Retrieval · Computer Science 2020-10-15 Ehtsham Elahi , Ashok Chandrashekar

The aim of Active Learning is to select the most informative samples from an unlabelled set of data. This is useful in cases where the amount of data is large and labelling is expensive, such as in machine vision or medical imaging. Two…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Julien Combes , Alexandre Derville , Jean-François Coeurjolly

Many engineered systems must balance competing objectives, such as performance and safety, cost and reliability, or efficiency and sustainability, and are naturally modeled as compositions of interacting subsystems. We study online…

Optimization and Control · Mathematics 2026-04-27 Meshal Alharbi , Munther A. Dahleh , Gioele Zardini

We construct a soft thresholding operation for rank reduction of hierarchical tensors and subsequently consider its use in iterative thresholding methods, in particular for the solution of discretized high-dimensional elliptic problems. The…

Numerical Analysis · Mathematics 2015-02-02 Markus Bachmayr , Reinhold Schneider

Learning visual features from unlabeled image data is an important yet challenging task, which is often achieved by training a model on some annotation-free information. We consider spatial contexts, for which we solve so-called jigsaw…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Chen Wei , Lingxi Xie , Xutong Ren , Yingda Xia , Chi Su , Jiaying Liu , Qi Tian , Alan L. Yuille

We consider models of growing multi-level systems wherein the growth process is driven by rules of tournament selection. A system can be conceived as an evolving tree with a new node being attached to a contestant node at the best hierarchy…

Physics and Society · Physics 2015-06-17 Agnieszka Czaplicka , Krzysztof Suchecki , Borja Minano , Miquel Trias , Janusz A. Holyst

We investigate the task of retrieving information from compositional distributed representations formed by Hyperdimensional Computing/Vector Symbolic Architectures and present novel techniques which achieve new information rate bounds.…

Neural and Evolutionary Computing · Computer Science 2023-05-29 Denis Kleyko , Connor Bybee , Ping-Chen Huang , Christopher J. Kymn , Bruno A. Olshausen , E. Paxon Frady , Friedrich T. Sommer

We apply modern methods in computational topology to the task of discovering and characterizing phase transitions. As illustrations, we apply our method to four two-dimensional lattice spin models: the Ising, square ice, XY, and…

Statistical Mechanics · Physics 2021-10-04 Alex Cole , Gregory J. Loges , Gary Shiu

Token representations in high-dimensional latent spaces often exhibit redundancy, limiting computational efficiency and reducing structural coherence across model layers. Hierarchical latent space folding introduces a structured…

Computation and Language · Computer Science 2025-08-11 Fenella Harcourt , Naderdel Piero , Gilbert Sutherland , Daphne Holloway , Harriet Bracknell , Julian Ormsby

Many sectors nowadays require accurate and coherent predictions across their organization to effectively operate. Otherwise, decision-makers would be planning using disparate views of the future, resulting in inconsistent decisions across…

Machine Learning · Computer Science 2023-02-09 Julien Leprince , Waqas Khan , Henrik Madsen , Jan Kloppenborg Møller , Wim Zeiler

Given a sample of bids from independent auctions, this paper examines the question of inference on auction fundamentals (e.g. valuation distributions, welfare measures) under weak assumptions on information structure. The question is…

Econometrics · Economics 2018-03-20 Vasilis Syrgkanis , Elie Tamer , Juba Ziani

This chapter reviews indirect estimators of intergenerational mobility, focusing on approaches that infer parent-child or other family associations when direct income data are incomplete or unavailable. We synthesize methods based on…

General Economics · Economics 2026-05-20 Andrea Del Pizzo , Martin Nybom , Jan Stuhler

Like natural complex systems such as the Earth's climate or a living cell, semiconductor lithography systems are characterized by nonlinear dynamics across more than a dozen orders of magnitude in space and time. Thousands of sensors…

Information Theory · Computer Science 2021-04-07 Errol Zalmijn , Tom Heskes , Tom Claassen

The estimation of categorical distributions under marginal constraints summarizing some sample from a population in the most-generalizable way is key for many machine-learning and data-driven approaches. We provide a parameter-agnostic…

High Energy Physics - Theory · Physics 2023-11-17 Orestis Loukas , Ho Ryun Chung

We study the problem of {\em impartial selection}, a topic that lies at the intersection of computational social choice and mechanism design. The goal is to select the most popular individual among a set of community members. The input can…

Computer Science and Game Theory · Computer Science 2021-02-19 Ioannis Caragiannis , George Christodoulou , Nicos Protopapas

Persuasion studies how a principal can influence agents' decisions via strategic information revelation --- often described as a signaling scheme --- in order to yield the most desirable equilibrium outcome. Recently, there has been a large…

Computer Science and Game Theory · Computer Science 2019-10-22 Haifeng Xu

Gradient descent for matrix factorization exhibits an implicit bias toward approximately low-rank solutions. While existing theories often assume the boundedness of iterates, empirically the bias persists even with unbounded sequences. This…

Machine Learning · Computer Science 2025-11-04 Yikun Hou , Suvrit Sra , Alp Yurtsever

Even when starting with a very poor initial guess, the iterative configuration interaction (iCI) approach can converge from above to full CI very quickly by constructing and diagonalizing a small Hamiltonian matrix at each…

Chemical Physics · Physics 2020-01-07 Ning Zhang , Wenjian Liu , Mark R. Hoffmann