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The problem of constrained Markov decision process is considered. An agent aims to maximize the expected accumulated discounted reward subject to multiple constraints on its costs (the number of constraints is relatively small). A new dual…

The key to reconciling the polynomial-time intractability of many machine learning tasks in the worst case with the surprising solvability of these tasks by heuristic algorithms in practice seems to be exploiting restrictions on real-world…

机器学习 · 计算机科学 2022-05-11 Todd Wareham

A formulation for the automated generation of algorithms via mathematical programming (optimization) is proposed. The formulation is based on the concept of optimizing within a parameterized family of algorithms, or equivalently a family of…

最优化与控制 · 数学 2018-02-14 Alexander Mitsos , Jaromił Najman , Ioannis G. Kevrekidis

The growth of world population, limitation of resources, economic problems and environmental issues force engineers to develop increasingly efficient solutions for logistic systems. Pure optimization for efficiency, however, has often led…

Approximations of optimization problems arise in computational procedures and sensitivity analysis. The resulting effect on solutions can be significant, with even small approximations of components of a problem translating into large…

最优化与控制 · 数学 2022-08-10 Johannes O. Royset

Efficient methods to provide sub-optimal solutions to non-convex optimization problems with knowledge of the solution's sub-optimality would facilitate the widespread application of nonlinear optimal control algorithms. To that end,…

最优化与控制 · 数学 2023-04-10 Prithvi Akella , Aaron D. Ames

Automatic Chemical Design is a framework for generating novel molecules with optimized properties. The original scheme, featuring Bayesian optimization over the latent space of a variational autoencoder, suffers from the pathology that it…

机器学习 · 统计学 2019-08-13 Ryan-Rhys Griffiths , José Miguel Hernández-Lobato

Optimization problems in engineering and applied mathematics are typically solved in an iterative fashion, by systematically adjusting the variables of interest until an adequate solution is found. The iterative algorithms that govern these…

最优化与控制 · 数学 2022-05-31 Laurent Lessard

Resource constrained job scheduling is a hard combinatorial optimisation problem that originates in the mining industry. Off-the-shelf solvers cannot solve this problem satisfactorily in reasonable timeframes, while other solution methods…

神经与进化计算 · 计算机科学 2024-07-23 Su Nguyen , Dhananjay Thiruvady , Yuan Sun , Mengjie Zhang

We present a novel adaptive optimization algorithm for black-box multi-objective optimization problems with binary constraints on the foundation of Bayes optimization. Our method is based on probabilistic regression and classification…

机器学习 · 统计学 2021-03-01 Raoul Heese , Michael Bortz

Evolutionary processes proved very useful for solving optimization problems. In this work, we build a formalization of the notion of cooperation and competition of multiple systems working toward a common optimization goal of the population…

神经与进化计算 · 计算机科学 2007-05-23 Mark Burgin , Eugene Eberbach

When dealing with real-world optimization problems, decision-makers usually face high levels of uncertainty associated with partial information, unknown parameters, or complex relationships between these and the problem decision variables.…

最优化与控制 · 数学 2023-05-01 Antonio Alcántara , Carlos Ruiz

This paper considers an optimal impulse control problem of dynamical systems generated by a flow. The performance criteria are total costs over the infinite time horizon. Apart from the main performance to be minimized, there are multiple…

最优化与控制 · 数学 2020-10-27 Alexey Piunovskiy , Yi Zhang

In high-stakes engineering applications, optimization algorithms must come with provable worst-case guarantees over a mathematically defined class of problems. Designing for the worst case, however, inevitably sacrifices performance on the…

系统与控制 · 电气工程与系统科学 2025-08-04 Andrea Martin , Ian R. Manchester , Luca Furieri

Motivated by the grid search method and Bayesian optimization, we introduce the concept of contractibility and its applications in model-based optimization. First, a basic framework of contraction methods is established to construct a…

最优化与控制 · 数学 2021-08-24 Xiaopeng Luo , Xin Xu

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

最优化与控制 · 数学 2018-03-29 Omid Nohadani , Kartikey Sharma

We consider regression problems with binary weights. Such optimization problems are ubiquitous in quantized learning models and digital communication systems. A natural approach is to optimize the corresponding Lagrangian using variants of…

机器学习 · 计算机科学 2020-12-01 Nisan Chiprut , Amir Globerson , Ami Wiesel

Uncertainty in optimization is often represented as stochastic parameters in the optimization model. In Predict-Then-Optimize approaches, predictions of a machine learning model are used as values for such parameters, effectively…

机器学习 · 计算机科学 2025-12-03 Pieter Smet

Over the last few decades, researchers have made considerable efforts to make decision support more accessible for small and medium enterprises by reducing the cost of designing, developing and maintaining automated decision support…

软件工程 · 计算机科学 2025-04-07 Daniel Karapetyan

The scenario-based optimization approach (`scenario approach') provides an intuitive way of approximating the solution to chance-constrained optimization programs, based on finding the optimal solution under a finite number of sampled…

最优化与控制 · 数学 2025-10-02 Georg Schildbach , Lorenzo Fagiano , Manfred Morari