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Combinatorial optimization is a fundamental challenge in various domains, with portfolio optimization standing out as a key application in finance. Despite numerous quantum algorithmic approaches proposed for this problem, most overlook a…

Unlike the white-box counterparts that are widely studied and readily accessible, adversarial examples in black-box settings are generally more Herculean on account of the difficulty of estimating gradients. Many methods achieve the task by…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Ziang Yan , Yiwen Guo , Changshui Zhang

An adaptation of Response Surface Methodology (RSM) when the covariate is of high or infinite dimensional is proposed, providing a tool for black-box optimization in this context. We combine dimension reduction techniques with classical…

Statistics Theory · Mathematics 2015-11-19 Angelina Roche

Variational inference is an umbrella term for algorithms which cast Bayesian inference as optimization. Classically, variational inference uses the Kullback-Leibler divergence to define the optimization. Though this divergence has been…

Machine Learning · Statistics 2018-03-16 Rajesh Ranganath , Jaan Altosaar , Dustin Tran , David M. Blei

We consider the challenge of black-box optimization within hybrid discrete-continuous and variable-length spaces, a problem that arises in various applications, such as decision tree learning and symbolic regression. We propose DisCo-DSO…

Machine Learning · Computer Science 2024-12-17 Jacob F. Pettit , Chak Shing Lee , Jiachen Yang , Alex Ho , Daniel Faissol , Brenden Petersen , Mikel Landajuela

Traditional optimization algorithms search for a single global optimum that maximizes (or minimizes) the objective function. Multimodal optimization algorithms search for the highest peaks in the search space that can be more than one.…

Neural and Evolutionary Computing · Computer Science 2020-12-18 Konstantinos Chatzilygeroudis , Antoine Cully , Vassilis Vassiliades , Jean-Baptiste Mouret

Reliable robotic manipulation requires control policies that can accurately represent and adapt to uncertainty arising from contact-rich interactions. Modern data-driven methods mitigate uncertainty through large-scale training and…

Bayesian optimization (BO) is a leading method for optimizing expensive black-box optimization and has been successfully applied across various scenarios. However, BO suffers from the curse of dimensionality, making it challenging to scale…

Machine Learning · Computer Science 2025-04-03 Vu Viet Hoang , Hung The Tran , Sunil Gupta , Vu Nguyen

Stein's method compares probability distributions through the study of a class of linear operators called Stein operators. While mainly studied in probability and used to underpin theoretical statistics, Stein's method has led to…

We consider stochastic gradient estimation using only black-box function evaluations, where the function argument lies within a probability simplex. This problem is motivated from gradient-descent optimization procedures in multiple…

Optimization and Control · Mathematics 2021-05-20 Henry Lam , Junhui Zhang

Universal fault-tolerant quantum computers will require error-free execution of long sequences of quantum gate operations, which is expected to involve millions of physical qubits. Before the full power of such machines will be available,…

We introduce a scheme for probabilistic hypocenter inversion with Stein variational inference. Our approach uses a differentiable forward model in the form of a physics informed neural network, which we train to solve the Eikonal equation.…

Geophysics · Physics 2022-08-18 Jonathan D. Smith , Zachary E. Ross , Kamyar Azizzadenesheli , Jack B. Muir

Optimizing expensive black-box objectives over mixed search spaces is a common challenge across the natural sciences. Bayesian optimization (BO) offers sample-efficient strategies through probabilistic surrogate models and acquisition…

Machine Learning · Computer Science 2026-04-10 Yuhao Zhang , Ti John , Matthias Stosiek , Patrick Rinke

We present a framework wherein the trajectory optimization problem (or a problem involving calculus of variations) is formulated as a search problem in a discrete space. A distinctive feature of our work is the treatment of discretization…

Optimization and Control · Mathematics 2022-12-22 Alok Shukla , Prakash Vedula

When optimizing real-time systems, designers often face a challenging problem where the schedulability constraints are non-convex, non-continuous, or lack an analytical form to understand their properties. Although the optimization…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Sen Wang , Dong Li , Shao-Yu Huang , Xuanliang Deng , Ashrarul H. Sifat , Changhee Jung , Ryan Williams , Haibo Zeng

Stein operators are differential operators which arise within the so-called Stein's method for stochastic approximation. We propose a new mechanism for constructing such operators for arbitrary (continuous or discrete) parametric…

Probability · Mathematics 2013-05-23 Christophe Ley , Yvik Swan

Black-box problems are common in real life like structural design, drug experiments, and machine learning. When optimizing black-box systems, decision-makers always consider multiple performances and give the final decision by comprehensive…

Machine Learning · Computer Science 2021-01-22 Wenjie Chen , Shengcai Liu , Ke Tang

This paper introduces a differentiable representation for the optimization of boustrophedon path plans in convex polygons, explores an additional parameter of these path plans that can be optimized, discusses the properties of this…

Robotics · Computer Science 2024-02-21 Thomas Manzini , Robin Murphy

Choosing automatically the right algorithm using problem descriptors is a classical component of combinatorial optimization. It is also a good tool for making evolutionary algorithms fast, robust and versatile. We present Shiwa, an…

Artificial Intelligence · Computer Science 2020-04-30 Jialin Liu , Antoine Moreau , Mike Preuss , Baptiste Roziere , Jeremy Rapin , Fabien Teytaud , Olivier Teytaud

Quality Diversity (QD) algorithms have been proposed to search for a large collection of both diverse and high-performing solutions instead of a single set of local optima. While early QD algorithms view the objective and descriptor…

Artificial Intelligence · Computer Science 2023-09-14 Raphael Boige , Guillaume Richard , Jérémie Dona , Thomas Pierrot , Antoine Cully
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