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Nonsmooth nonconvex optimization problems broadly emerge in machine learning and business decision making, whereas two core challenges impede the development of efficient solution methods with finite-time convergence guarantee: the lack of…

最优化与控制 · 数学 2022-10-18 Tianyi Lin , Zeyu Zheng , Michael I. Jordan

Indirect imaging problems in biomedical optics generally require repeated evaluation of forward models of radiative transport, for which Monte Carlo is accurate yet computationally costly. We develop a novel approach to reduce this…

计算物理 · 物理学 2020-07-10 Callum M. Macdonald , Simon Arridge , Samuel Powell

Offline model-based optimization (MBO) aims to maximize a black-box objective function using only an offline dataset of designs and scores. These tasks span various domains, such as robotics, material design, and protein and molecular…

机器学习 · 计算机科学 2025-04-18 Ye Yuan , Youyuan Zhang , Can Chen , Haolun Wu , Zixuan Li , Jianmo Li , James J. Clark , Xue Liu

Offline optimization is a fundamental challenge in science and engineering, where the goal is to optimize black-box functions using only offline datasets. This setting is particularly relevant when querying the objective function is…

机器学习 · 计算机科学 2026-01-07 Minsu Kim , Jiayao Gu , Ye Yuan , Taeyoung Yun , Zixuan Liu , Yoshua Bengio , Can Chen

Critical aspects of computational imaging systems, such as experimental design and image priors, can be optimized through deep networks formed by the unrolled iterations of classical model-based reconstructions (termed physics-based…

计算机视觉与模式识别 · 计算机科学 2020-03-13 Michael Kellman , Kevin Zhang , Jon Tamir , Emrah Bostan , Michael Lustig , Laura Waller

We develop an algorithm that combines model-based and model-free methods for solving a nonlinear optimal control problem with a quadratic cost in which the system model is given by a linear state-space model with a small additive nonlinear…

最优化与控制 · 数学 2022-03-23 Yansong Li , Shuo Han

The ever-increasing demand for processing data with larger machine learning models requires more efficient hardware solutions due to limitations such as power dissipation and scalability. Optics is a promising contender for providing lower…

We propose and analyze a model-based derivative-free (DFO) algorithm for solving bound-constrained optimization problems where the objective function is the composition of a smooth function and a vector of black-box functions. We assume…

最优化与控制 · 数学 2024-01-03 Frank E. Curtis , Shima Dezfulian , Andreas Wächter

Optical approaches have made great strides towards the goal of high-speed, energy-efficient computing necessary for modern deep learning and AI applications. Read-in and read-out of data, however, limit the overall performance of existing…

Data-driven offline model-based optimization (MBO) is an established practical approach to black-box computational design problems for which the true objective function is unknown and expensive to query. However, the standard approach which…

机器学习 · 计算机科学 2023-04-03 Sathvik Kolli

This paper focuses on projection-free methods for solving smooth Online Convex Optimization (OCO) problems. Existing projection-free methods either achieve suboptimal regret bounds or have high per-iteration computational costs. To fill…

机器学习 · 计算机科学 2019-10-25 Jiahao Xie , Zebang Shen , Chao Zhang , Boyu Wang , Hui Qian

Many important machine learning applications amount to solving minimax optimization problems, and in many cases there is no access to the gradient information, but only the function values. In this paper, we focus on such a gradient-free…

机器学习 · 计算机科学 2021-03-23 Tengyu Xu , Zhe Wang , Yingbin Liang , H. Vincent Poor

We propose RSO (random search optimization), a gradient free Markov Chain Monte Carlo search based approach for training deep neural networks. To this end, RSO adds a perturbation to a weight in a deep neural network and tests if it reduces…

机器学习 · 计算机科学 2020-05-13 Rohun Tripathi , Bharat Singh

We study offline Reinforcement Learning in large infinite-horizon discounted Markov Decision Processes (MDPs) when the reward and transition models are linearly realizable under a known feature map. Starting from the classic linear-program…

机器学习 · 计算机科学 2024-05-24 Gergely Neu , Nneka Okolo

Black-box optimization is primarily important for many compute-intensive applications, including reinforcement learning (RL), robot control, etc. This paper presents a novel theoretical framework for black-box optimization, in which our…

机器学习 · 计算机科学 2020-09-10 Yueming Lyu , Ivor W. Tsang

Bayesian Optimization (BO) is an efficient tool for optimizing black-box functions, but its theoretical guarantees typically hold in the asymptotic regime. In many critical real-world applications such as drug discovery or materials design,…

机器学习 · 计算机科学 2025-11-04 Diantong Li , Kyunghyun Cho , Chong Liu

We provide new gradient-based methods for efficiently solving a broad class of ill-conditioned optimization problems. We consider the problem of minimizing a function $f : \mathbb{R}^d \rightarrow \mathbb{R}$ which is implicitly…

最优化与控制 · 数学 2021-11-08 Jonathan Kelner , Annie Marsden , Vatsal Sharan , Aaron Sidford , Gregory Valiant , Honglin Yuan

We consider a generic framework of optimization algorithms based on gradient descent. We develop a quantum algorithm that computes the gradient of a multi-variate real-valued function $f:\mathbb{R}^d\rightarrow \mathbb{R}$ by evaluating it…

量子物理 · 物理学 2019-02-19 András Gilyén , Srinivasan Arunachalam , Nathan Wiebe

Gradient-based optimization is the foundation of deep learning and reinforcement learning. Even when the mechanism being optimized is unknown or not differentiable, optimization using high-variance or biased gradient estimates is still…

机器学习 · 计算机科学 2018-02-27 Will Grathwohl , Dami Choi , Yuhuai Wu , Geoffrey Roeder , David Duvenaud

Black-Box Optimization (BBO) methods can find optimal policies for systems that interact with complex environments with no analytical representation. As such, they are of interest in many Artificial Intelligence (AI) domains. Yet classical…

机器学习 · 计算机科学 2020-06-17 Mor Sinay , Elad Sarafian , Yoram Louzoun , Noa Agmon , Sarit Kraus