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Unsatisfiable core analysis can boost the computation of optimum stable models for logic programs with weak constraints. However, current solvers employing unsatisfiable core analysis either run to completion, or provide no suboptimal…

Logic in Computer Science · Computer Science 2016-08-03 Mario Alviano , Carmine Dodaro

We exhibit optimal control strategies for a simple toy problem in which the underlying dynamics depend on a parameter that is initially unknown and must be learned. We consider a cost function posed over a finite time interval, in contrast…

Optimization and Control · Mathematics 2020-02-27 Charles L. Fefferman , Bernat Guillen Pegueroles , Clarence W. Rowley , Melanie Weber

The solution to the infinite horizon optimal control problem for linear distributed time-delay systems is presented. The proposal is based on the use of the Cauchy solution for distributed time-delay systems. In contrast with previous…

Optimization and Control · Mathematics 2022-01-19 Jorge Ortega , Omar Santos , Liliam Rodríguez , Sabine Mondié

We consider the structural change in a class of discrete valued time series that the conditional distribution follows a one-parameter exponential family. We propose a change-point test based on the maximum likelihood estimator of the…

Statistics Theory · Mathematics 2016-03-01 Mamadou Lamine Diop , William Kengne

This paper considers receding horizon control of finite deterministic systems, which must satisfy a high level, rich specification expressed as a linear temporal logic formula. Under the assumption that time-varying rewards are associated…

Optimization and Control · Mathematics 2012-03-14 Xuchu Ding , Mircea Lazar , Calin Belta

We develop the theory of hypothesis testing based on the e-value, a notion of evidence that, unlike the p-value, allows for effortlessly combining results from several studies in the common scenario where the decision to perform a new study…

Statistics Theory · Mathematics 2023-03-13 Peter Grünwald , Rianne de Heide , Wouter Koolen

We model learning in a continuous-time Brownian setting where there is prior ambiguity. The associated model of preference values robustness and is time-consistent. It is applied to study optimal learning when the choice between actions can…

Economics · Quantitative Finance 2019-03-06 Larry G. Epstein , Shaolin Ji

We propose a general framework for constructing powerful, sequential hypothesis tests for a large class of nonparametric testing problems. The null hypothesis for these problems is defined in an abstract form using the action of two known…

Machine Learning · Statistics 2023-10-31 Teodora Pandeva , Patrick Forré , Aaditya Ramdas , Shubhanshu Shekhar

Despite the extensive literature on training loss functions, the evaluation of generalization on the validation set remains underexplored. In this work, we conduct a systematic empirical and statistical study of how the validation criterion…

Machine Learning · Computer Science 2026-02-26 Andrea Apicella , Francesco Isgrò , Andrea Pollastro , Roberto Prevete

Tasks that require information about the world imply a trade-off between the time spent on observation and the variance of the response. In particular, fast decisions need to rely on uncertain information. However, standard estimates of…

Neurons and Cognition · Quantitative Biology 2023-07-18 Sahel Azizpour , Viola Priesemann , Johannes Zierenberg , Anna Levina

We combine forward investment performance processes and ambiguity averse portfolio selection. We introduce the notion of robust forward criteria which addresses the issues of ambiguity in model specification and in preferences and…

Portfolio Management · Quantitative Finance 2014-11-17 Sigrid Kallblad , Jan Obloj , Thaleia Zariphopoulou

Greedy-GQ with linear function approximation, originally proposed in \cite{maei2010toward}, is a value-based off-policy algorithm for optimal control in reinforcement learning, and it has a non-linear two timescale structure with the…

Machine Learning · Computer Science 2024-05-03 Yue Wang , Yi Zhou , Shaofeng Zou

While most theoretical run time analyses of discrete randomized search heuristics provide bounds on the expected number of evaluations to find the global optimum, we consider the anytime performance of evolutionary and…

Neural and Evolutionary Computing · Computer Science 2026-04-09 Timo Kötzing , Jurek Sander

Under data distributions which may be heavy-tailed, many stochastic gradient-based learning algorithms are driven by feedback queried at points with almost no performance guarantees on their own. Here we explore a modified "anytime…

Machine Learning · Statistics 2023-12-01 Matthew J. Holland

While reinforcement learning has shown experimental success in a number of applications, it is known to be sensitive to noise and perturbations in the parameters of the system, leading to high variance in the total reward amongst different…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Erfaun Noorani , Christos Mavridis , John Baras

Recently, there has been a surge of interest in analyzing the non-asymptotic behavior of model-free reinforcement learning algorithms. However, the performance of such algorithms in non-ideal environments, such as in the presence of…

Machine Learning · Computer Science 2024-09-06 Sreejeet Maity , Aritra Mitra

This paper introduces a model-free real-time optimization (RTO) framework based on unconstrained Bayesian optimization with embedded constraint control. The main contribution lies in demonstrating how this approach simplifies the black-box…

Optimization and Control · Mathematics 2024-02-29 Dinesh Krishnamoorthy

Algorithmic Recourse (AR) aims to provide users with actionable steps to overturn unfavourable decisions made by machine learning predictors. However, these actions often take time to implement (e.g., getting a degree can take years), and…

Machine Learning · Computer Science 2025-07-11 Giovanni De Toni , Stefano Teso , Bruno Lepri , Andrea Passerini

For a bucket test with a single criterion for success and a fixed number of samples or testing period, requiring a $p$-value less than a specified value of $\alpha$ for the success criterion produces statistical confidence at level $1 -…

Methodology · Statistics 2024-08-05 Eric Bax , Arundhyoti Sarkar , Alex Shtoff

Bayesian optimization (BO) is a widely popular approach for the hyperparameter optimization (HPO) in machine learning. At its core, BO iteratively evaluates promising configurations until a user-defined budget, such as wall-clock time or…