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Learning is a physical process. Here, we aim to study a simple dynamical system composed of springs and sticks capable of arbitrarily approximating any continuous function. The main idea of our work is to use the sticks to mimic a…

Machine Learning · Computer Science 2025-08-27 Luis Mantilla Calderón , Alán Aspuru-Guzik

Imitation learning (IL) from a state-based reinforcement learning (RL) policy is a common approach to overcome the curse of dimensionality in complex and high-dimensional observation spaces prevalent in robotics. This paper addresses the…

Machine Learning · Computer Science 2026-05-28 Meraj Mammadov , Pedro Zuidberg Dos Martires , Johannes Andreas Stork

We consider a model of robust learning in an adversarial environment. The learner gets uncorrupted training data with access to possible corruptions that may be affected by the adversary during testing. The learner's goal is to build a…

Machine Learning · Computer Science 2022-07-04 Idan Attias , Aryeh Kontorovich , Yishay Mansour

We investigate the influence of different kinds of structure on the learning behaviour of a perceptron performing a classification task defined by a teacher rule. The underlying pattern distribution is permitted to have spatial…

Disordered Systems and Neural Networks · Physics 2009-10-31 G. Dirscherl , B. Schottky , U. Krey

We show that spin chains in thermal equilibrium have a correlation structure in which individual regions are strongly correlated at most with their near vicinity. We quantify this with alternative notions of the conditional mutual…

It has been a long-standing problem to efficiently learn a halfspace using as few labels as possible in the presence of noise. In this work, we propose an efficient Perceptron-based algorithm for actively learning homogeneous halfspaces…

Machine Learning · Computer Science 2017-11-07 Songbai Yan , Chicheng Zhang

Many recent theoretical works on \emph{meta-learning} aim to achieve guarantees in leveraging similar representational structures from related tasks towards simplifying a target task. The main aim of theoretical guarantees on the subject is…

Machine Learning · Statistics 2025-05-21 Dimitri Meunier , Zhu Li , Arthur Gretton , Samory Kpotufe

We describe an adaptation of the simulated annealing algorithm to nonparametric clustering and related probabilistic models. This new algorithm learns nonparametric latent structure over a growing and constantly churning subsample of…

Machine Learning · Statistics 2019-10-25 Fritz Obermeyer , Jonathan Glidden , Eric Jonas

Since experiencing domain shifts during test-time is inevitable in practice, test-time adaption (TTA) continues to adapt the model after deployment. Recently, the area of continual and gradual test-time adaptation (TTA) emerged. In contrast…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Mario Döbler , Robert A. Marsden , Bin Yang

Using the Hopfield model as a benchmark case, the present work focuses on the investigation of partially annealed associative neural networks, wherein neural dynamics is coupled to slowly evolving patterns within the…

Disordered Systems and Neural Networks · Physics 2026-05-12 Linda Albanese , Andrea Alessandrelli , Adriano Barra , Silvio Franz , Federico Ricci-Tersenghi

Adversarial examples have appeared as a ubiquitous property of machine learning models where bounded adversarial perturbation could mislead the models to make arbitrarily incorrect predictions. Such examples provide a way to assess the…

Machine Learning · Computer Science 2021-03-02 Zhuolin Yang , Zhaoxi Chen , Tiffany Cai , Xinyun Chen , Bo Li , Yuandong Tian

We apply adaptive feedback for the partial refrigeration of a mechanical resonator, i.e. with the aim to simultaneously cool the classical thermal motion of more than one vibrational degree of freedom. The feedback is obtained from a neural…

Quantum Physics · Physics 2020-03-09 Christian Sommer , Muhammad Asjad , Claudiu Genes

Preference-based Reinforcement Learning (PbRL) entails a variety of approaches for aligning models with human intent to alleviate the burden of reward engineering. However, most previous PbRL work has not investigated the robustness to…

Machine Learning · Computer Science 2025-06-17 Sara Rajaram , R. James Cotton , Fabian H. Sinz

We present an architecture that is effective for continual learning in an especially demanding setting, where task boundaries do not exist or are unknown, and where classes have to be learned online (with each example presented only once).…

Machine Learning · Computer Science 2021-10-08 Murray Shanahan , Christos Kaplanis , Jovana Mitrović

The existence of spurious correlations such as image backgrounds in the training environment can make empirical risk minimization (ERM) perform badly in the test environment. To address this problem, Kirichenko et al. (2022) empirically…

Machine Learning · Computer Science 2025-12-10 Haotian Ye , James Zou , Linjun Zhang

We introduce a new update scheme to systematically improve the efficiency of parallel tempering simulations. We show that by adapting the number of sweeps between replica exchanges to the canonical autocorrelation time, the average…

Statistical Mechanics · Physics 2008-09-26 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke

Training in machine learning generally consists in finding one model, whose parameters minimize a data-dependent loss. Yet, empirical work shows that ensemble learning, an approach in which multiple models are sampled, can improve…

Disordered Systems and Neural Networks · Physics 2026-04-28 Thomas Tulinski , Jorge Fernandez-De-Cossio-Diaz , Simona Cocco , Rémi Monasson

We analyze the generalization performance of a student in a model composed of nonlinear perceptrons: a true teacher, ensemble teachers, and the student. We calculate the generalization error of the student analytically or numerically using…

Machine Learning · Computer Science 2009-11-13 Hideto Utsumi , Seiji Miyoshi , Masato Okada

Deep Reinforcement Learning (RL) techniques can benefit greatly from leveraging prior experience, which can be either self-generated or acquired from other entities. Action advising is a framework that provides a flexible way to transfer…

Machine Learning · Computer Science 2021-07-01 Ercument Ilhan , Jeremy Gow , Diego Perez-Liebana

A toy model of binary classification is studied with the aim of clarifying the class-wise resampling/reweighting effect on the feature learning performance under the presence of class imbalance. In the analysis, a high-dimensional limit of…

Machine Learning · Statistics 2025-04-23 Tomoyuki Obuchi , Toshiyuki Tanaka