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Surrogate Optimization (SO) algorithms have shown promise for optimizing expensive black-box functions. However, their performance is heavily influenced by hyperparameters related to sampling and surrogate fitting, which poses a challenge…

Machine Learning · Computer Science 2023-10-13 Nazanin Nezami , Hadis Anahideh

Benchmark experiments are required to test, compare, tune, and understand optimization algorithms. Ideally, benchmark problems closely reflect real-world problem behavior. Yet, real-world problems are not always readily available for…

Neural and Evolutionary Computing · Computer Science 2020-08-17 Martin Zaefferer , Frederik Rehbach

The field of simulation optimization (SO) encompasses various methods developed to optimize complex, expensive-to-sample stochastic systems. Established methods include, but are not limited to, ranking-and-selection for finite alternatives…

Machine Learning · Statistics 2025-11-04 Haoting Zhang , Haoxian Chen , Donglin Zhan , Hanyang Zhao , Henry Lam , Wenpin Tang , David Yao , Zeyu Zheng

This paper studies the variance dichotomy in continuous simulation optimization (CSO). Existing literature shows a sharp contrast between deterministic CSO and stochastic CSO, with convergence rates in stochastic settings appearing…

Optimization and Control · Mathematics 2026-04-16 Jianzhong Du , L. Jeff Hong

Submodular function optimization has numerous applications in machine learning and data analysis, including data summarization which aims to identify a concise and diverse set of data points from a large dataset. It is important to…

Data Structures and Algorithms · Computer Science 2023-04-11 Shaojie Tang , Jing Yuan , Twumasi Mensah-Boateng

Manifold optimization is ubiquitous in computational and applied mathematics, statistics, engineering, machine learning, physics, chemistry and etc. One of the main challenges usually is the non-convexity of the manifold constraints. By…

Optimization and Control · Mathematics 2019-06-14 Jiang Hu , Xin Liu , Zaiwen Wen , Yaxiang Yuan

Algorithm design is a laborious process and often requires many iterations of ideation and validation. In this paper, we explore automating algorithm design and present a method to learn an optimization algorithm, which we believe to be the…

Machine Learning · Computer Science 2016-06-07 Ke Li , Jitendra Malik

Optimization is nothing but a mathematical technique which finds maxima or minima of any function of concern in some realistic region. Different optimization techniques are proposed which are competing for the best solution. Particle Swarm…

Neural and Evolutionary Computing · Computer Science 2019-03-29 Vishakha A Metre , Mr Pramod B Deshmukh

Many key problems in machine learning and data science are routinely modeled as optimization problems and solved via optimization algorithms. With the increase of the volume of data and the size and complexity of the statistical models used…

Optimization and Control · Mathematics 2020-08-28 Filip Hanzely

Studies on simulation input uncertainty often built on the availability of input data. In this paper, we investigate an inverse problem where, given only the availability of output data, we nonparametrically calibrate the input models and…

Optimization and Control · Mathematics 2018-01-09 Aleksandrina Goeva , Henry Lam , Huajie Qian , Bo Zhang

We derive a stochastic gradient algorithm for semidefinite optimization using randomization techniques. The algorithm uses subsampling to reduce the computational cost of each iteration and the subsampling ratio explicitly controls…

Optimization and Control · Mathematics 2011-08-30 Alexandre d'Aspremont

In this paper we survey the primary research, both theoretical and applied, in the area of Robust Optimization (RO). Our focus is on the computational attractiveness of RO approaches, as well as the modeling power and broad applicability of…

Optimization and Control · Mathematics 2010-10-27 Dimitris Bertsimas , David B. Brown , Constantine Caramanis

Operations research practitioners frequently want to model complicated functions that are are difficult to encode in their underlying optimisation framework. A common approach is to solve an approximate model, and to use a simulation to…

Optimization and Control · Mathematics 2022-07-06 Michael Forbes , Mitchell Harris , Marijn Jansen , Femke van der Schoot , Thomas Taimre

Noisy optimization is the optimization of objective functions corrupted by noise. A portfolio of solvers is a set of solvers equipped with an algorithm selection tool for distributing the computational power among them. Portfolios are…

Optimization and Control · Mathematics 2015-11-05 Marie-Liesse Cauwet , Jialin Liu , Rozière Baptiste , Olivier Teytaud

We present a new modeling paradigm for optimization that we call random field optimization. Random fields are a powerful modeling abstraction that aims to capture the behavior of random variables that live on infinite-dimensional spaces…

Optimization and Control · Mathematics 2022-01-26 Joshua L. Pulsipher , Benjamin R. Davidson , Victor M. Zavala

In this work, we study contextual strongly convex simulation optimization and adopt an "optimize then predict" (OTP) approach for real-time decision making. In the offline stage, simulation optimization is conducted across a set of…

Machine Learning · Statistics 2025-12-29 Nifei Lin , Heng Luo , L. Jeff Hong

Simulators are a critical component of modern robotics research. Strategies for both perception and decision making can be studied in simulation first before deployed to real world systems, saving on time and costs. Despite significant…

Machine Learning · Computer Science 2020-11-19 Bhairav Mehta , Ankur Handa , Dieter Fox , Fabio Ramos

This paper describes a general-purpose programming technique, called the Simulation of Simplicity, which can be used to cope with degenerate input data for geometric algorithms. It relieves the programmer from the task to provide a…

Combinatorics · Mathematics 2016-09-06 Herbert Edelsbrunner , Ernst Mücke

This paper considers an optimization problem for a dynamical system whose evolution depends on a collection of binary decision variables. We develop scalable approximation algorithms with provable suboptimality bounds to provide…

Optimization and Control · Mathematics 2016-10-31 Insoon Yang , Samuel A. Burden , Ram Rajagopal , S. Shankar Sastry , Claire J. Tomlin

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…

Optimization and Control · Mathematics 2022-08-10 Johannes O. Royset