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We study the Gaussian Process regression model in the context of training data with noise in both input and output. The presence of two sources of noise makes the task of learning accurate predictive models extremely challenging. However,…

Machine Learning · Statistics 2015-07-03 Cuong Tran , Vladimir Pavlovic , Robert Kopp

Modern learning systems increasingly interact with data that evolve over time and depend on hidden internal state. We ask a basic question: when is such a dynamical system learnable from observations alone? This paper proposes a research…

Machine Learning · Computer Science 2025-12-23 Elad Hazan , Shai Shalev Shwartz , Nathan Srebro

The use of available disturbance predictions within a nominal model predictive control formulation is studied. The main challenge that arises is the loss of recursive feasibility and stability guarantees when a persistent disturbance is…

Systems and Control · Computer Science 2018-07-31 Pablo R Baldivieso-Monasterios , Paul A. Trodden

This paper develops a theory of learning under ambiguity induced by the decision maker's beliefs about the collection of data correlated with the true state of the world. Within our framework, two classical results on Bayesian learning…

Theoretical Economics · Economics 2026-02-10 Cheaheon Lim

The existence of adversarial data examples has drawn significant attention in the deep-learning community; such data are seemingly minimally perturbed relative to the original data, but lead to very different outputs from a deep-learning…

Machine Learning · Computer Science 2019-11-12 Bai Li , Changyou Chen , Wenlin Wang , Lawrence Carin

Learning representations of data, and in particular learning features for a subsequent prediction task, has been a fruitful area of research delivering impressive empirical results in recent years. However, relatively little is understood…

Machine Learning · Computer Science 2016-11-11 Daniel McNamara , Cheng Soon Ong , Robert C. Williamson

Inspired by the work of Tsiamis et al. \cite{tsiamis2022learning}, in this paper we study the statistical hardness of learning to stabilize linear time-invariant systems. Hardness is measured by the number of samples required to achieve a…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Xiong Zeng , Zexiang Liu , Zhe Du , Necmiye Ozay , Mario Sznaier

Machine unlearning, which enables a model to forget specific data, is crucial for ensuring data privacy and model reliability. However, its effectiveness can be severely undermined in real-world scenarios where models learn unintended…

Machine Learning · Computer Science 2026-02-26 JuneHyoung Kwon , MiHyeon Kim , Eunju Lee , Yoonji Lee , Seunghoon Lee , YoungBin Kim

We investigate the lifetime of dynamical regimes under the impact of noise motivated by low-dimensional models of the atmosphere. One may expect that the inclusion of noise tends to make the system leave prescribed regions of the state…

Numerical Analysis · Mathematics 2026-05-01 Henry Schoeller , Robin Chemnitz , Péter Koltai , Maximilian Engel , Stephan Pfahl

Noisy labels are both inevitable and problematic in machine learning methods, as they negatively impact models' generalization ability by causing overfitting. In the context of learning with noise, the transition matrix plays a crucial role…

Machine Learning · Computer Science 2025-03-26 Jiahui Li , Tai-Wei Chang , Kun Kuang , Ximing Li , Long Chen , Jun Zhou

Reward machines are an established tool for dealing with reinforcement learning problems in which rewards are sparse and depend on complex sequences of actions. However, existing algorithms for learning reward machines assume an overly…

Machine Learning · Computer Science 2025-10-20 Jan Corazza , Ivan Gavran , Daniel Neider

Supervised learning systems are trained using historical data and, if the data was tainted by discrimination, they may unintentionally learn to discriminate against protected groups. We propose that fair learning methods, despite training…

Machine Learning · Computer Science 2026-01-22 Przemyslaw A. Grabowicz , Nicholas Perello , Kenta Takatsu

A learning-based safety filter is developed for discrete-time linear time-invariant systems with unknown models subject to Gaussian noises with unknown covariance. Safety is characterized using polytopic constraints on the states and…

Machine Learning · Computer Science 2023-05-09 Farhad Farokhi , Alex S. Leong , Mohammad Zamani , Iman Shames

We consider apprenticeship learning, i.e., having an agent learn a task by observing an expert demonstrating the task in a partially observable environment when the model of the environment is uncertain. This setting is useful in…

Machine Learning · Computer Science 2012-07-03 Takaki Makino , Johane Takeuchi

We present a self-supervised learning method to learn audio and video representations. Prior work uses the natural correspondence between audio and video to define a standard cross-modal instance discrimination task, where a model is…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Pedro Morgado , Ishan Misra , Nuno Vasconcelos

We consider the problem of designing control laws for stochastic jump linear systems where the disturbances are drawn randomly from a finite sample space according to an unknown distribution, which is estimated from a finite sample of…

Systems and Control · Computer Science 2019-10-31 Mathijs Schuurmans , Pantelis Sopasakis , Panagiotis Patrinos

A general class of dynamical systems which can be trained to operate in classification and generation modes are introduced. A procedure is proposed to plant asymptotic stationary attractors of the deterministic model. Optimizing the…

Disordered Systems and Neural Networks · Physics 2025-10-15 Stefano Gagliani , Feliciano Giuseppe Pacifico , Lorenzo Chicchi , Duccio Fanelli , Diego Febbe , Lorenzo Buffoni , Raffaele Marino

Robust and efficient learning remains a challenging problem in robotics, in particular with complex visual inputs. Inspired by human attention mechanism, with which we quickly process complex visual scenes and react to changes in the…

Robotics · Computer Science 2023-08-30 Daniel Scheuchenstuhl , Stefan Ulmer , Felix Resch , Luigi Berducci , Radu Grosu

The model selection procedure is usually a single-criterion decision making in which we select the model that maximizes a specific metric in a specific set, such as the Validation set performance. We claim this is very naive and can perform…

Machine Learning · Computer Science 2022-07-15 Felipe Costa Farias , Teresa Bernarda Ludermir , Carmelo José Albanez Bastos-Filho

The dichotomy between noise-stable and (completely) noise-sensitive stochastic models is of recent interest in probability theory. Of particular interest is the study of lattice models coming from statistical physics. The Fourier transform…

High Energy Physics - Theory · Physics 2007-05-23 Gil Kalai