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Quantum advantage requires overcoming noise-induced degradation of quantum systems. Conventional methods for reducing noise such as error mitigation face scalability issues in deep circuits. Specifically, noise hampers the extraction of…

量子物理 · 物理学 2023-12-05 Yonglong Ding , Ruyu Yang

Bayesian optimization (BO) is a sample efficient approach to automatically tune the hyperparameters of machine learning models. In practice, one frequently has to solve similar hyperparameter tuning problems sequentially. For example, one…

机器学习 · 计算机科学 2021-02-26 Samuel Horváth , Aaron Klein , Peter Richtárik , Cédric Archambeau

In this work we are interested in the construction of numerical methods for high dimensional constrained nonlinear optimization problems by particle-based gradient-free techniques. A consensus-based optimization (CBO) approach combined with…

最优化与控制 · 数学 2021-11-23 Giacomo Borghi , Michael Herty , Lorenzo Pareschi

In many important machine learning applications, the standard assumption of having a globally Lipschitz continuous gradient may fail to hold. This paper delves into a more general $(L_0, L_1)$-smoothness setting, which gains particular…

最优化与控制 · 数学 2025-02-07 Chenghan Xie , Chenxi Li , Chuwen Zhang , Qi Deng , Dongdong Ge , Yinyu Ye

This paper presents a novel robust trajectory optimization method for constrained nonlinear dynamical systems subject to unknown bounded disturbances. In particular, we seek optimal control policies that remain robustly feasible with…

系统与控制 · 电气工程与系统科学 2025-04-08 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou

Bayesian optimization (BO) is increasingly employed in critical applications to find the optimal design with minimal cost. While BO is known for its sample efficiency, relying solely on costly high-fidelity data can still result in high…

人工智能 · 计算机科学 2025-03-25 Zahra Zanjani Foumani , Ramin Bostanabad

Controller tuning is crucial for closed-loop performance but often involves manual adjustments. Although Bayesian optimization (BO) has been established as a data-efficient method for automated tuning, applying it to large and…

系统与控制 · 电气工程与系统科学 2024-11-26 Alexander von Rohr , David Stenger , Dominik Scheurenberg , Sebastian Trimpe

A method is proposed for solving equality constrained nonlinear optimization problems involving twice continuously differentiable functions. The method employs a trust funnel approach consisting of two phases: a first phase to locate an…

数值分析 · 数学 2017-07-04 Frank E. Curtis , Daniel P. Robinson , Mohammadreza Samadi

Bayesian optimization methods have been successfully applied to black box optimization problems that are expensive to evaluate. In this paper, we adapt the so-called super effcient global optimization algorithm to solve more accurately…

机器学习 · 统计学 2020-06-30 Rémy Priem , Nathalie Bartoli , Youssef Diouane , Alessandro Sgueglia

In this paper, we present a novel optimization algorithm designed specifically for estimating state-space models to deal with heavy-tailed measurement noise and constraints. Our algorithm addresses two significant limitations found in…

信号处理 · 电气工程与系统科学 2024-11-19 Yifan Yu , Shengjie Xiu , Daniel P. Palomar

Stochastic gradient-based optimization is crucial to optimize neural networks. While popular approaches heuristically adapt the step size and direction by rescaling gradients, a more principled approach to improve optimizers requires…

机器学习 · 计算机科学 2023-11-01 Philipp Dahlinger , Philipp Becker , Maximilian Hüttenrauch , Gerhard Neumann

We present a new framework for the solution of mathematical programs with equilibrium constraints (MPECs). In this algorithmic framework, an MPECs is viewed as a concentration of an unconstrained optimization which minimizes the…

最优化与控制 · 数学 2023-01-18 Songqiang Qiu , Zhongwen Chen

The partially observable constrained optimization problems (POCOPs) impede data-driven optimization techniques since an infeasible solution of POCOPs can provide little information about the objective as well as the constraints. We endeavor…

机器学习 · 计算机科学 2023-12-27 Shengbo Wang , Ke Li

Bayesian optimization (BO) iteratively fits a Gaussian process (GP) surrogate to accumulated evaluations and selects new queries via an acquisition function such as expected improvement (EI). In practice, BO often concentrates evaluations…

统计方法学 · 统计学 2026-01-13 Jiguang Li , Hengrui Luo

We propose a trust region method for policy optimization that employs Quasi-Newton approximation for the Hessian, called Quasi-Newton Trust Region Policy Optimization QNTRPO. Gradient descent is the de facto algorithm for reinforcement…

机器学习 · 计算机科学 2019-12-30 Devesh Jha , Arvind Raghunathan , Diego Romeres

A sequential quadratic optimization algorithm is proposed for solving smooth nonlinear equality constrained optimization problems in which the objective function is defined by an expectation of a stochastic function. The algorithmic…

最优化与控制 · 数学 2023-03-17 Albert S. Berahas , Frank E. Curtis , Michael J. O'Neill , Daniel P. Robinson

We study the problem of preferential Bayesian optimization (BO), where we aim to optimize a black-box function with only preference feedback over a pair of candidate solutions. Inspired by the likelihood ratio idea, we construct a…

机器学习 · 计算机科学 2024-05-30 Wenjie Xu , Wenbin Wang , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

Bayesian Optimization (BO) is a technique for sample-efficient black-box optimization that employs probabilistic models to identify promising input locations for evaluation. When dealing with composite-structured functions, such as f=g o h,…

机器学习 · 计算机科学 2024-07-11 Natalie Maus , Zhiyuan Jerry Lin , Maximilian Balandat , Eytan Bakshy

Black-box zero-th order optimization is a central primitive for applications in fields as diverse as finance, physics, and engineering. In a common formulation of this problem, a designer sequentially attempts candidate solutions, receiving…

机器学习 · 计算机科学 2024-07-08 Yunchuan Zhang , Sangwoo Park , Osvaldo Simeone

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

机器学习 · 计算机科学 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne