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We consider the problem of tabular infinite horizon concave utility reinforcement learning (CURL) with convex constraints. For this, we propose a model-based learning algorithm that also achieves zero constraint violations. Assuming that…

Machine Learning · Computer Science 2023-11-20 Mridul Agarwal , Qinbo Bai , Vaneet Aggarwal

We study learning problems involving arbitrary classes of functions $F$, distributions $X$ and targets $Y$. Because proper learning procedures, i.e., procedures that are only allowed to select functions in $F$, tend to perform poorly unless…

Machine Learning · Statistics 2018-04-17 Shahar Mendelson

We introduce a new online convex optimization algorithm that adaptively chooses its regularization function based on the loss functions observed so far. This is in contrast to previous algorithms that use a fixed regularization function…

Machine Learning · Computer Science 2010-07-08 H. Brendan McMahan , Matthew Streeter

The integration of optimization problems within neural network architectures represents a fundamental shift from traditional approaches to handling constraints in deep learning. While it is long known that neural networks can incorporate…

Machine Learning · Computer Science 2024-12-31 Calder Katyal

The paper introduces the first formulation of convex Q-learning for Markov decision processes with function approximation. The algorithms and theory rest on a relaxation of a dual of Manne's celebrated linear programming characterization of…

Optimization and Control · Mathematics 2023-09-12 Fan Lu , Sean Meyn

Finding valuable training data points for deep neural networks has been a core research challenge with many applications. In recent years, various techniques for calculating the "value" of individual training datapoints have been proposed…

Machine Learning · Computer Science 2021-04-29 Soumi Das , Arshdeep Singh , Saptarshi Chatterjee , Suparna Bhattacharya , Sourangshu Bhattacharya

Incorporating constraints is a major concern in probabilistic machine learning. A wide variety of problems require predictions to be integrated with reasoning about constraints, from modelling routes on maps to approving loan predictions.…

Machine Learning · Computer Science 2020-01-31 Ioannis Papantonis , Vaishak Belle

Recent studies in neuro-symbolic learning have explored the integration of logical knowledge into deep learning via encoding logical constraints as an additional loss function. However, existing approaches tend to vacuously satisfy logical…

Artificial Intelligence · Computer Science 2024-03-04 Zenan Li , Zehua Liu , Yuan Yao , Jingwei Xu , Taolue Chen , Xiaoxing Ma , Jian Lü

This paper presents a general framework to integrate prior knowledge in the form of logic constraints among a set of task functions into kernel machines. The logic propositions provide a partial representation of the environment, in which…

Machine Learning · Computer Science 2024-02-19 Michelangelo Diligenti , Marco Gori , Marco Maggini , Leonardo Rigutini

Decision-focused learning is a promising development for contextual optimisation. It enables us to train prediction models that reflect the contextual sensitivity structure of the problem. However, there have been limited attempts to extend…

Optimization and Control · Mathematics 2023-12-21 Egon Peršak , Miguel F. Anjos

Continual learning is inherently a constrained learning problem. The goal is to learn a predictor under a no-forgetting requirement. Although several prior studies formulate it as such, they do not solve the constrained problem explicitly.…

Machine Learning · Computer Science 2024-06-03 Juan Elenter , Navid NaderiAlizadeh , Tara Javidi , Alejandro Ribeiro

Reinforcement learning agents naturally learn from extensive exploration. Exploration is costly and can be unsafe in $\textit{safety-critical}$ domains. This paper proposes a novel framework for incorporating domain knowledge to help guide…

Machine Learning · Computer Science 2023-04-25 Fazl Barez , Hosien Hasanbieg , Alesandro Abbate

Practitioners often face the challenge of deploying prediction models in new environments with shifted distributions of covariates and responses. With observational data, such shifts are often driven by unobserved confounding, and can in…

Machine Learning · Computer Science 2026-04-02 Kulunu Dharmakeerthi , YoonHaeng Hur , Tengyuan Liang

This paper presents a framework to solve constrained optimization problems in an accelerated manner based on High-Order Tuners (HT). Our approach is based on reformulating the original constrained problem as the unconstrained optimization…

Optimization and Control · Mathematics 2022-05-27 Anjali Parashar , Priyank Srivastava , Anuradha M. Annaswamy

We consider the differentiation of the value function for parametric optimization problems. Such problems are ubiquitous in Machine Learning applications such as structured support vector machines, matrix factorization and min-min or…

Optimization and Control · Mathematics 2020-12-29 Sheheryar Mehmood , Peter Ochs

This paper focuses on finding reinforcement learning policies for control systems with hard state and action constraints. Despite its success in many domains, reinforcement learning is challenging to apply to problems with hard constraints,…

Machine Learning · Computer Science 2020-03-24 Liyuan Zheng , Yuanyuan Shi , Lillian J. Ratliff , Baosen Zhang

In Constraint Programming, constraints are usually represented as predicates allowing or forbidding combinations of values. However, some algorithms exploit a finer representation: error functions. Their usage comes with a price though: it…

Artificial Intelligence · Computer Science 2023-03-09 Florian Richoux , Jean-François Baffier

A new exact projective penalty method is proposed for the equivalent reduction of constrained optimization problems to nonsmooth unconstrained ones. In the method, the original objective function is extended to infeasible points by summing…

Optimization and Control · Mathematics 2023-12-05 Vladimir Norkin

Algorithms for learning the conditional probabilities of Bayesian networks with hidden variables typically operate within a high-dimensional search space and yield only locally optimal solutions. One way of limiting the search space and…

Artificial Intelligence · Computer Science 2013-01-18 Frank Wittig , Anthony Jameson

Safe reinforcement learning (RL) aims to learn policies that satisfy certain constraints before deploying them to safety-critical applications. Previous primal-dual style approaches suffer from instability issues and lack optimality…

Machine Learning · Computer Science 2022-06-20 Zuxin Liu , Zhepeng Cen , Vladislav Isenbaev , Wei Liu , Zhiwei Steven Wu , Bo Li , Ding Zhao