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This paper considers the problem of minimizing a convex expectation function with a set of inequality convex expectation constraints. We present a computable stochastic approximation type algorithm, namely the stochastic linearized proximal…

Optimization and Control · Mathematics 2022-06-16 Liwei Zhang , Yule Zhang , Jia Wu , Xiantao Xiao

Majorization-minimization algorithms consist of iteratively minimizing a majorizing surrogate of an objective function. Because of its simplicity and its wide applicability, this principle has been very popular in statistics and in signal…

Machine Learning · Statistics 2013-09-11 Julien Mairal

Multi-objective Bayesian optimization has been widely adopted in scientific experiment design, including drug discovery and hyperparameter optimization. In practice, regulatory or safety concerns often impose additional thresholds on…

Machine Learning · Computer Science 2025-04-22 Diantong Li , Fengxue Zhang , Chong Liu , Yuxin Chen

Bayesian optimization is an effective method to efficiently optimize unknown objective functions with high evaluation costs. Traditional Bayesian optimization algorithms select one point per iteration for single objective function, whereas…

Machine Learning · Statistics 2019-05-08 Takashi Wada , Hideitsu Hino

Within systems biology there is an increasing interest in the stochastic behavior of genetic and biochemical reaction networks. An appropriate stochastic description is provided by the chemical master equation, which represents a continuous…

Biological Physics · Physics 2011-06-23 E. Giampieri , D. Remondini , L. de Oliveira , G. Castellani , P. Lió

Local optimization presents a promising approach to expensive, high-dimensional black-box optimization by sidestepping the need to globally explore the search space. For objective functions whose gradient cannot be evaluated directly,…

Machine Learning · Computer Science 2023-01-18 Quan Nguyen , Kaiwen Wu , Jacob R. Gardner , Roman Garnett

Hybrid classical quantum optimization methods have become an important tool for efficiently solving problems in the current generation of NISQ computers. These methods use an optimization algorithm executed in a classical computer, fed with…

Quantum Physics · Physics 2023-08-02 J. Gidi , B. Candia , A. D. Muñoz-Moller , A. Rojas , L. Pereira , M. Muñoz , L. Zambrano , A. Delgado

We propose a novel direct transcription and solution method for solving nonlinear, continuous-time dynamic optimization problems. Instead of forcing the dynamic constraints to be satisfied only at a selected number of points as in direct…

Optimization and Control · Mathematics 2022-01-25 Yuanbo Nie , Eric C. Kerrigan

Molecule optimization is an important problem in chemical discovery and has been approached using many techniques, including generative modeling, reinforcement learning, genetic algorithms, and much more. Recent work has also applied…

Biomolecules · Quantitative Biology 2022-10-31 Elvin Lo , Pin-Yu Chen

We develop the framework of Indirect Query Bayesian Optimization (IQBO), a new class of Bayesian optimization problems where the integrated feedback is given via a conditional expectation of the unknown function $f$ to be optimized. The…

Machine Learning · Computer Science 2025-08-14 Mengyan Zhang , Shahine Bouabid , Cheng Soon Ong , Seth Flaxman , Dino Sejdinovic

Chemistry has a key role in the evolution of the interstellar medium (ISM), so it is highly desirable to follow its evolution in numerical simulations. However, it may easily dominate the computational cost when applied to large systems. In…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 T. Grassi , S. Bovino , D. Schleicher , F. A. Gianturco

Based on the stochastic maximum principle for the partially coupled forward-backward stochastic control system (FBSCS for short), a modified method of successive approximations (MSA for short) is established for stochastic recursive optimal…

Optimization and Control · Mathematics 2022-01-11 Shaolin Ji , Rundong Xu

In this paper, we propose a distributed stochastic second-order proximal method that enables agents in a network to cooperatively minimize the sum of their local loss functions without any centralized coordination. The proposed algorithm,…

Optimization and Control · Mathematics 2022-11-22 Chenyang Qiu , Shanying Zhu , Zichong Ou , Jie Lu

Numerous challenges in science and engineering can be framed as optimization tasks, including the maximization of reaction yields, the optimization of molecular and materials properties, and the fine-tuning of automated hardware protocols.…

Optimization and Control · Mathematics 2021-11-19 Matteo Aldeghi , Florian Häse , Riley J. Hickman , Isaac Tamblyn , Alán Aspuru-Guzik

Conditional molecular optimization aims to edit a molecule to realize a specified property shift. In practice, structurally similar molecule data is scarce, while decisions are inherently action-level: at each step, the system must select…

Artificial Intelligence · Computer Science 2026-05-12 Haojie Rao , Kun Li , Yida Xiong , Jiameng Chen , Wenbin Hu , Yizhen Zheng , Jiajun Yu , Duanhua Cao

Dynamic and evolving operational and economic environments present significant challenges for decision-making. We explore a simulation optimization problem characterized by non-stationary input distributions with regime-switching dynamics…

Optimization and Control · Mathematics 2025-08-19 Jianglin Xia , Haowei Wang , Songhao Wang , Szu Hui Ng

Understanding grain-surface processes is crucial to interpreting the chemistry of the ISM. However, accurate surface chemistry models are computationally expensive and are difficult to integrate with gas-phase simulations. A new…

Astrophysics · Physics 2009-11-13 R. T. Garrod

First-order stochastic methods are the state-of-the-art in large-scale machine learning optimization owing to efficient per-iteration complexity. Second-order methods, while able to provide faster convergence, have been much less explored…

Machine Learning · Statistics 2017-12-01 Naman Agarwal , Brian Bullins , Elad Hazan

We employ an evolutionary algorithm to automatically optimize different stages of a cold atom experiment without human intervention. This approach closes the loop between computer based experimental control systems and automatic real time…

Integer linear programming (ILP) is an elegant approach to solve linear optimization problems, naturally described using integer decision variables. Within the context of physics-inspired machine learning applied to chemistry, we…