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Bayesian optimization (BO) is a sequential decision-making tool widely used for optimizing expensive black-box functions. Recently, Large Language Models (LLMs) have shown remarkable adaptability in low-data regimes, making them promising…

机器学习 · 计算机科学 2025-10-10 Chih-Yu Chang , Milad Azvar , Chinedum Okwudire , Raed Al Kontar

It is commonly believed that Bayesian optimization (BO) algorithms are highly efficient for optimizing numerically costly functions. However, BO is not often compared to widely different alternatives, and is mostly tested on narrow sets of…

最优化与控制 · 数学 2021-10-01 Rodolphe Le Riche , Victor Picheny

A novel multiscale consensus-based optimization (CBO) algorithm for solving bi- and tri-level optimization problems is introduced. Existing CBO techniques are generalized by the proposed method through the employment of multiple interacting…

最优化与控制 · 数学 2025-06-23 Michael Herty , Yuyang Huang , Dante Kalise , Hicham Kouhkouh

This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

机器学习 · 统计学 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom

This paper presents a novel algorithm integrating global and robust optimization methods to solve continuous non-convex quadratic problems under convex uncertainty sets. The proposed Robust spatial branch-and-bound (RsBB) algorithm combines…

最优化与控制 · 数学 2025-11-18 Asimina Marousi , Vassilis M. Charitopoulos

Our goal is to build robust optimization problems for making decisions based on complex data from the past. In robust optimization (RO) generally, the goal is to create a policy for decision-making that is robust to our uncertainty about…

最优化与控制 · 数学 2014-07-07 Theja Tulabandhula , Cynthia Rudin

The Restricted Boltzmann Machine (RBM) is a stochastic neural network capable of solving a variety of difficult tasks such as NP-Hard combinatorial optimization problems and integer factorization. The RBM architecture is also very compact;…

机器学习 · 计算机科学 2020-10-15 Saavan Patel , Philip Canoza , Sayeef Salahuddin

Many challenges in science and engineering, such as drug discovery and communication network design, involve optimizing complex and expensive black-box functions across vast search spaces. Thus, it is essential to leverage existing data to…

机器学习 · 计算机科学 2024-12-04 Juncheng Dong , Zihao Wu , Hamid Jafarkhani , Ali Pezeshki , Vahid Tarokh

The paper presents a Projection-Based Reduced-Order Model for simulations of high Reynolds turbulent flows. The PBROM are enhanced by incorporating various models of turbulent viscosity and residual closures to model the effects of…

计算工程、金融与科学 · 计算机科学 2021-05-25 My Ha Dao , Hoang Huy Nguyen

STOchastic Recursive Momentum (STORM)-based algorithms have been widely developed to solve one to $K$-level ($K \geq 3$) stochastic optimization problems. Specifically, they use estimators to mitigate the biased gradient issue and achieve…

机器学习 · 计算机科学 2024-07-09 Xiaokang Pan , Xingyu Li , Jin Liu , Tao Sun , Kai Sun , Lixing Chen , Zhe Qu

With the growth of complexity and extent, large scale interconnected network systems, e.g. transportation networks or infrastructure networks, become more vulnerable towards external disruptions. Hence, managing potential disruptive events…

系统与控制 · 电气工程与系统科学 2022-09-29 Jiaxin Wu , Pingfeng Wang

Optimal design under uncertainty has gained much attention in the past ten years due to the ever increasing need for manufacturers to build robust systems at the lowest cost. Reliability-based design optimization (RBDO) allows the analyst…

统计方法学 · 统计学 2017-04-13 V. Dubourg , J. -M. Bourinet , B. Sudret

Safe Bayesian optimization (BO) algorithms promise to find optimal control policies without knowing the system dynamics while at the same time guaranteeing safety with high probability. In exchange for those guarantees, popular algorithms…

机器学习 · 计算机科学 2025-10-22 Abdullah Tokmak , Thomas B. Schön , Dominik Baumann

Brain storm optimization (BSO) is a newly proposed population-based optimization algorithm, which uses a logarithmic sigmoid transfer function to adjust its search range during the convergent process. However, this adjustment only varies…

神经与进化计算 · 计算机科学 2021-03-02 Yang Yu , Shangce Gao , Yirui Wang , Jiujun Cheng , Yuki Todo

Stochastic bilevel optimization (SBO) has become a standard framework for hyperparameter learning, data reweighting, representation learning, and data-mixture optimization in deep learning. Existing exact single-loop SBO methods and…

机器学习 · 计算机科学 2026-05-13 Hengrui Zhang , Boao Kong , Engao Zhang , Kun Yuan

Reliability-based design optimization (RBDO) aims at determination of the optimal design in the presence of uncertainty. The available Single-Loop approaches for RBDO are based on the First-Order Reliability Method (FORM) for the…

最优化与控制 · 数学 2021-10-12 Rami Mansour , Mårten Olsson

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

Mixed-integer programming (MIP) has emerged as a powerful framework for learning optimal decision trees. Yet, existing MIP approaches for regression tasks are either limited to purely binary features or become computationally intractable…

机器学习 · 计算机科学 2025-10-29 Cristobal Heredia , Pedro Chumpitaz-Flores , Kaixun Hua

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

最优化与控制 · 数学 2023-09-06 Xunhao Wu , Jun Fu

In neural combinatorial optimization (CO), reinforcement learning (RL) can turn a deep neural net into a fast, powerful heuristic solver of NP-hard problems. This approach has a great potential in practical applications because it allows…

机器学习 · 计算机科学 2021-07-14 Yeong-Dae Kwon , Jinho Choo , Byoungjip Kim , Iljoo Yoon , Youngjune Gwon , Seungjai Min