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Automata learning is a successful tool for many application domains such as robotics and automatic verification. Typically, automata learning techniques operate in a supervised learning setting (active or passive) where they learn a finite…

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

动力系统 · 数学 2023-05-17 Nan Chen , Yinling Zhang

We develop randomized (block) coordinate descent (CD) methods for linearly constrained convex optimization. Unlike most CD methods, we do not assume the constraints to be separable, but let them be coupled linearly. To our knowledge, ours…

最优化与控制 · 数学 2015-06-11 Sashank Reddi , Ahmed Hefny , Carlton Downey , Avinava Dubey , Suvrit Sra

The quadratic unconstrained binary optimization (QUBO) problem arises in diverse optimization applications ranging from Ising spin problems to classical problems in graph theory and binary discrete optimization. The use of preprocessing to…

人工智能 · 计算机科学 2017-05-29 Fred Glover , Mark Lewis , Gary Kochenberger

Discrete optimization is a central problem in mathematical optimization with a broad range of applications, among which binary optimization and sparse optimization are two common ones. However, these problems are NP-hard and thus difficult…

最优化与控制 · 数学 2018-11-26 Ganzhao Yuan , Li Shen , Wei-Shi Zheng

We consider the problem of unconstrained minimization of a smooth objective function in $\R^n$ in a setting where only function evaluations are possible. While importance sampling is one of the most popular techniques used by machine…

最优化与控制 · 数学 2020-04-03 Adel Bibi , El Houcine Bergou , Ozan Sener , Bernard Ghanem , Peter Richtárik

The increasing availability of massive data sets poses a series of challenges for machine learning. Prominent among these is the need to learn models under hardware or human resource constraints. In such resource-constrained settings, a…

机器学习 · 计算机科学 2021-09-28 Zalán Borsos , Mojmír Mutný , Marco Tagliasacchi , Andreas Krause

Constraint Optimization Problems (COP) are often considered without sufficient knowledge on the boundaries of the objective variable to optimize. When available, tight boundaries are helpful to prune the search space or estimate problem…

人工智能 · 计算机科学 2022-03-23 Helge Spieker , Arnaud Gotlieb

In decision-making under uncertainty, Contextual Robust Optimization (CRO) provides reliability by minimizing the worst-case decision loss over a prediction set. While recent advances use conformal prediction to construct prediction sets…

机器学习 · 统计学 2025-12-25 Yajie Bao , Yang Hu , Haojie Ren , Peng Zhao , Changliang Zou

Bilevel Optimization has experienced significant advancements recently with the introduction of new efficient algorithms. Mirroring the success in single-level optimization, stochastic gradient-based algorithms are widely used in bilevel…

最优化与控制 · 数学 2024-11-12 Junyi Li , Heng Huang

Canonical Correlation Analysis (CCA) is widely used for multimodal data analysis and, more recently, for discriminative tasks such as multi-view learning; however, it makes no use of class labels. Recent CCA methods have started to address…

机器学习 · 计算机科学 2019-07-19 Heather D. Couture , Roland Kwitt , J. S. Marron , Melissa Troester , Charles M. Perou , Marc Niethammer

Binary optimization, a representative subclass of discrete optimization, plays an important role in mathematical optimization and has various applications in computer vision and machine learning. Usually, binary optimization problems are…

最优化与控制 · 数学 2021-05-18 Huan Xiong , Mengyang Yu , Li Liu , Fan Zhu , Fumin Shen , Ling Shao

The modern industrial environment is equipping myriads of smart manufacturing machines where the state of each device can be monitored continuously. Such monitoring can help identify possible future failures and develop a cost-effective…

机器学习 · 计算机科学 2023-01-24 William Marfo , Deepak K. Tosh , Shirley V. Moore

Since the 1990s, considerable empirical work has been carried out to train statistical models, such as neural networks (NNs), as learned heuristics for combinatorial optimization (CO) problems. When successful, such an approach eliminates…

机器学习 · 统计学 2026-01-21 Orit Davidovich , Shimrit Shtern , Segev Wasserkrug , Nimrod Megiddo

This contribution examines optimization problems that involve stochastic dominance constraints. These problems have uncountably many constraints. We develop methods to solve the optimization problem by reducing the constraints to a finite…

最优化与控制 · 数学 2025-02-27 Rajmadan Lakshmanan , Alois Pichler , Miloš Kopa

In this paper, we consider the composite optimization problem, where the objective function integrates a continuously differentiable loss function with a nonsmooth regularization term. Moreover, only the function values for the…

最优化与控制 · 数学 2024-01-09 Shanglin Liu , Lei Wang , Nachuan Xiao , Xin Liu

Cardinality estimation is a fundamental but long unresolved problem in query optimization. Recently, multiple papers from different research groups consistently report that learned models have the potential to replace existing cardinality…

数据库 · 计算机科学 2021-08-12 Xiaoying Wang , Changbo Qu , Weiyuan Wu , Jiannan Wang , Qingqing Zhou

Recent deep reinforcement learning methods have achieved remarkable success in solving multi-objective combinatorial optimization problems (MOCOPs) by decomposing them into multiple subproblems, each associated with a specific weight…

人工智能 · 计算机科学 2026-03-23 Mingfeng Fan , Jianan Zhou , Yifeng Zhang , Yaoxin Wu , Jinbiao Chen , Guillaume Adrien Sartoretti

Bayesian optimization has attracted huge attention from diverse research areas in science and engineering, since it is capable of efficiently finding a global optimum of an expensive-to-evaluate black-box function. In general, a…

机器学习 · 计算机科学 2025-07-29 Jungtaek Kim

Combinatorial Optimization underpins many real-world applications and yet, designing performant algorithms to solve these complex, typically NP-hard, problems remains a significant research challenge. Reinforcement Learning (RL) provides a…