English
Related papers

Related papers: A tree-based radial basis function method for nois…

200 papers

We present a framework for automatically structuring and training fast, approximate, deep neural surrogates of stochastic simulators. Unlike traditional approaches to surrogate modeling, our surrogates retain the interpretable structure and…

In optimization, it is known that when the objective functions are strictly convex and well-conditioned, gradient-based approaches can be extremely effective, e.g., achieving the exponential rate of convergence. On the other hand, the…

Machine Learning · Statistics 2023-03-08 Yujie Zhao , Xiaoming Huo

Solving complex real problems often demands advanced algorithms, and then continuous improvements in the internal operations of a search technique are needed. Hybrid algorithms, parallel techniques, theoretical advances, and much more are…

Neural and Evolutionary Computing · Computer Science 2025-08-12 Tomohiro Harada , Enrique Alba , Gabriel Luque

This work is in the context of blackbox optimization where the functions defining the problem are expensive to evaluate and where no derivatives are available. A tried and tested technique is to build surrogates of the objective and the…

Optimization and Control · Mathematics 2022-08-18 Charles Audet , Sébastien Le Digabel , Renaud Saltet

Driven by increased complexity of dynamical systems, the solution of system of differential equations through numerical simulation in optimization problems has become computationally expensive. This paper provides a smart data driven…

Optimization and Control · Mathematics 2021-08-25 Kainat Khowaja , Mykhaylo Shcherbatyy , Wolfgang Karl Härdle

Recent works in learning-integrated optimization have shown promise in settings where the optimization problem is only partially observed or where general-purpose optimizers perform poorly without expert tuning. By learning an optimizer…

Machine Learning · Computer Science 2023-11-06 Arman Zharmagambetov , Brandon Amos , Aaron Ferber , Taoan Huang , Bistra Dilkina , Yuandong Tian

This paper investigates iterative methods for solving bi-level optimization problems where both inner and outer functions have a composite structure. We establish novel theoretical results, including the first analysis that provides…

Optimization and Control · Mathematics 2025-10-07 Shimrit Shtern , Adeolu Taiwo

Despite the recent progress in hyperparameter optimization (HPO), available benchmarks that resemble real-world scenarios consist of a few and very large problem instances that are expensive to solve. This blocks researchers and…

Machine Learning · Computer Science 2019-11-26 Aaron Klein , Zhenwen Dai , Frank Hutter , Neil Lawrence , Javier Gonzalez

We compare different methods for sampling from discrete probability distributions and introduce a new algorithm which is especially efficient on massively parallel processors, such as GPUs. The scheme preserves the distribution properties…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-02 Nikolaus Binder , Alexander Keller

Federated optimization, an emerging paradigm which finds wide real-world applications such as federated learning, enables multiple clients (e.g., edge devices) to collaboratively optimize a global function. The clients do not share their…

Machine Learning · Computer Science 2023-08-09 Yao Shu , Xiaoqiang Lin , Zhongxiang Dai , Bryan Kian Hsiang Low

Data-driven optimization has found many successful applications in the real world and received increased attention in the field of evolutionary optimization. Most existing algorithms assume that the data used for optimization is always…

Neural and Evolutionary Computing · Computer Science 2021-06-24 Jinjin Xu , Yaochu Jin , Wenli Du

Surrogate models are often used as computationally efficient approximations to complex simulation models, enabling tasks such as solving inverse problems, sensitivity analysis, and probabilistic forward predictions, which would otherwise be…

Machine Learning · Statistics 2026-05-13 Philipp Reiser , Paul-Christian Bürkner , Anneli Guthke

We define a search problem on trees that closely captures the backtracking behavior of all current practical graph isomorphism algorithms. Given two trees with colored leaves, the goal is to find two leaves of matching color, one in each of…

Data Structures and Algorithms · Computer Science 2020-11-04 Markus Anders , Pascal Schweitzer

Motion planning problems have been studied by both the robotics and the controls research communities for a long time, and many algorithms have been developed for their solution. Among them, incremental sampling-based motion planning…

Robotics · Computer Science 2012-05-01 Oktay Arslan , Panagiotis Tsiotras

Bayesian optimization (BO) is a widely used method for data-driven optimization that generally relies on zeroth-order data of objective function to construct probabilistic surrogate models. These surrogates guide the…

Machine Learning · Computer Science 2025-08-08 Georgios Makrygiorgos , Joshua Hang Sai Ip , Ali Mesbah

Optimization problems involving mixed variables (i.e., variables of numerical and categorical nature) can be challenging to solve, especially in the presence of mixed-variable constraints. Moreover, when the objective function is the result…

Optimization and Control · Mathematics 2024-12-12 Mengjia Zhu , Alberto Bemporad

Global optimization problems whose objective function is expensive to evaluate can be solved effectively by recursively fitting a surrogate function to function samples and minimizing an acquisition function to generate new samples. The…

Machine Learning · Computer Science 2020-01-10 Alberto Bemporad

One of the key problems in tensor network based quantum circuit simulation is the construction of a contraction tree which minimizes the cost of the simulation, where the cost can be expressed in the number of operations as a proxy for the…

Quantum Physics · Physics 2022-09-08 Cameron Ibrahim , Danylo Lykov , Zichang He , Yuri Alexeev , Ilya Safro

Offline model-based optimization seeks to optimize against a learned surrogate model without querying the true oracle objective function during optimization. Such tasks are commonly encountered in protein design, robotics, and clinical…

Machine Learning · Computer Science 2024-09-27 Michael S. Yao , Yimeng Zeng , Hamsa Bastani , Jacob Gardner , James C. Gee , Osbert Bastani

In this work, we introduce a novel stochastic second-order method, within the framework of a non-monotone trust-region approach, for solving the unconstrained, nonlinear, and non-convex optimization problems arising in the training of deep…

Optimization and Control · Mathematics 2024-01-18 Natasa Krejic , Natasa Krklec Jerinkic , Angeles Martinez , Mahsa Yousefi