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The constrained path optimization (CPO) problem takes the following input: (a) a road network represented as a directed graph, where each edge is associated with a "cost" and a "score" value; (b) a source-destination pair and; (c) a budget…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-08-05 Kousik Kumar Dutta , Ankita Dewan , Venkata M. V. Gunturi

Convex optimization is an essential tool for machine learning, as many of its problems can be formulated as minimization problems of specific objective functions. While there is a large variety of algorithms available to solve convex…

Machine Learning · Computer Science 2016-12-28 Nathanael Perraudin , Vassilis Kalofolias , David Shuman , Pierre Vandergheynst

In this work, we propose a novel and efficient method for smoothing polylines in motion planning tasks. The algorithm applies to motion planning of vehicles with bounded curvature. In the paper, we show that the generated path: 1) has…

Robotics · Computer Science 2025-02-25 Patrick Pastorelli , Simone Dagnino , Enrico Saccon , Marco Frego , Luigi Palopoli

Polynomial optimization problems represent a wide class of optimization problems, with a large number of real-world applications. Current approaches for polynomial optimization, such as the sum of squares (SOS) method, rely on large-scale…

Optimization and Control · Mathematics 2025-07-04 Dimitris Bertsimas , Dick den Hertog , Thodoris Koukouvinos

Black-box model-based optimization (MBO) problems, where the goal is to find a design input that maximizes an unknown objective function, are ubiquitous in a wide range of domains, such as the design of proteins, DNA sequences, aircraft,…

Machine Learning · Computer Science 2022-02-18 Brandon Trabucco , Xinyang Geng , Aviral Kumar , Sergey Levine

Gradient-free black-box optimization (BBO) is widely used in engineering design and provides a flexible framework for topology optimization (TO), enabling the discovery of high-performing structural designs without requiring gradient…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Jelle Westra , Iván Olarte Rodríguez , Niki van Stein , Thomas Bäck , Elena Raponi

We address black-box convex optimization problems, where the objective and constraint functions are not explicitly known but can be sampled within the feasible set. The challenge is thus to generate a sequence of feasible points converging…

Optimization and Control · Mathematics 2022-11-08 Baiwei Guo , Yuning Jiang , Maryam Kamgarpour , Giancarlo Ferrari-Trecate

The diverse world of machine learning applications has given rise to a plethora of algorithms and optimization methods, finely tuned to the specific regression or classification task at hand. We reduce the complexity of algorithm design for…

Optimization and Control · Mathematics 2016-05-23 Zeyuan Allen-Zhu , Elad Hazan

We introduce BLOC (Black-box Optimization over Correlation matrices), a general framework for sparse covariance estimation with non-convex penalties. BLOC operates on the manifold of correlation matrices and reparameterizes it via an…

Methodology · Statistics 2026-04-01 Priyam Das , Trambak Banerjee , Prajamitra Bhuyan

In typical black-box optimization applications, the available computational budget is often allocated to a single algorithm, typically chosen based on user preference with limited knowledge about the problem at hand or according to some…

Neural and Evolutionary Computing · Computer Science 2026-01-26 Catalin-Viorel Dinu , Diederick Vermetten , Carola Doerr

A Path Relinking algorithm is proposed for the Bandwidth Coloring problem and the Bandwidth MultiColoring problem. It combines a population based relinking method and a tabu search based local search procedure. The proposed algorithm is…

Discrete Mathematics · Computer Science 2014-09-04 Xiangjing Lai , Zhipeng Lu , Jin-Kao Hao , Fred Glover , Liping Xu

Bayesian optimization (BO) is a successful methodology to optimize black-box functions that are expensive to evaluate. While traditional methods optimize each black-box function in isolation, there has been recent interest in speeding up BO…

Machine Learning · Statistics 2019-09-30 Valerio Perrone , Huibin Shen , Matthias Seeger , Cedric Archambeau , Rodolphe Jenatton

We propose a new algorithm to the problem of polygonal curve approximation based on a multiresolution approach. This algorithm is suboptimal but still maintains some optimality between successive levels of resolution using dynamic…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Pierre-François Marteau , Gilbas Ménier

Ising machines are next-generation computers expected to efficiently sample near-optimal solutions of combinatorial optimization problems. Combinatorial optimization problems are modeled as quadratic unconstrained binary optimization (QUBO)…

Optimization and Control · Mathematics 2024-06-21 Kentaro Ohno , Nozomu Togawa

Offline black-box optimization (BBO) aims to find optimal designs based solely on an offline dataset of designs and their labels. Such scenarios frequently arise in domains like DNA sequence design and robotics, where only a few labeled…

Computational Engineering, Finance, and Science · Computer Science 2026-01-22 Ye Yuan , Can , Chen , Zipeng Sun , Dinghuai Zhang , Christopher Pal , Xue Liu

Bilevel optimization (BLO) problem, where two optimization problems (referred to as upper- and lower-level problems) are coupled hierarchically, has wide applications in areas such as machine learning and operations research. Recently, many…

Optimization and Control · Mathematics 2025-05-19 Xiaotian Jiang , Ioannis Tsaknakis , Prashant Khanduri , Mingyi Hong

Bayesian optimization (BO) is a powerful approach for seeking the global optimum of expensive black-box functions and has proven successful for fine tuning hyper-parameters of machine learning models. However, BO is practically limited to…

Machine Learning · Statistics 2020-09-28 Riccardo Moriconi , Marc P. Deisenroth , K. S. Sesh Kumar

We propose a black-box approach to reducing large semidefinite programs to a set of smaller semidefinite programs by projecting to random linear subspaces. We evaluate our method on a set of polynomial optimization problems, demonstrating…

Optimization and Control · Mathematics 2025-09-17 Etienne Buehrle , Christoph Stiller

Chip placement is a vital stage in modern chip design as it has a substantial impact on the subsequent processes and the overall quality of the final chip. The use of black-box optimization (BBO) for chip placement has a history of several…

Machine Learning · Computer Science 2025-10-28 Ke Xue , Ruo-Tong Chen , Rong-Xi Tan , Xi Lin , Yunqi Shi , Siyuan Xu , Mingxuan Yuan , Chao Qian

The pooling problem is a classical NP-hard problem in the chemical process and petroleum industries. This problem is modeled as a nonlinear, nonconvex network flow problem in which raw materials with different specifications are blended in…

Optimization and Control · Mathematics 2023-06-21 Mosayeb Jalilian , Burak Kocuk