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In many mechanistic medical, biological, physical and engineered spatiotemporal dynamic models the numerical solution of partial differential equations (PDEs) can make simulations impractically slow. Biological models require the…

Soft Condensed Matter · Physics 2021-02-11 J. Quetzalcóatl Toledo-Marín , Geoffrey Fox , James P. Sluka , James A. Glazier

Data-driven evolutionary multi-objective optimization (EMO) has been recognized as an effective approach for multi-objective optimization problems with expensive objective functions. The current research is mainly developed for problems…

Neural and Evolutionary Computing · Computer Science 2022-05-31 Renzhi Chen , Ke Li

Few-shot meta-learning presents a challenge for gradient descent optimization due to the limited number of training samples per task. To address this issue, we propose an episodic memory optimization for meta-learning, we call EMO, which is…

Machine Learning · Computer Science 2023-06-28 Yingjun Du , Jiayi Shen , Xiantong Zhen , Cees G. M. Snoek

Heuristic optimisation algorithms explore the search space by sampling solutions, evaluating their fitness, and biasing the search in the direction of promising solutions. However, in many cases, this fitness function involves executing…

Neural and Evolutionary Computing · Computer Science 2024-10-07 Pablo S. Naharro , Pablo Toharia , Antonio LaTorre , José-María Peña

Hyperparameter optimization (HPO) is a central pillar in the automation of machine learning solutions and is mainly performed via Bayesian optimization, where a parametric surrogate is learned to approximate the black box response function…

Machine Learning · Computer Science 2021-01-20 Martin Wistuba , Josif Grabocka

Following the seminal work of Nesterov, accelerated optimization methods have been used to powerfully boost the performance of first-order, gradient-based parameter estimation in scenarios where second-order optimization strategies are…

Numerical Analysis · Computer Science 2017-11-28 Anthony Yezzi , Ganesh Sundaramoorthi

Accurately solving partial differential equations (PDEs) is critical to understanding complex scientific and engineering phenomena, yet traditional numerical solvers are computationally expensive. Surrogate models offer a more efficient…

Machine Learning · Computer Science 2026-04-17 Yegon Kim , Hyunsu Kim , Gyeonghoon Ko , Juho Lee

Model-based algorithms, which learn a dynamics model from logged experience and perform some sort of pessimistic planning under the learned model, have emerged as a promising paradigm for offline reinforcement learning (offline RL).…

Machine Learning · Computer Science 2022-01-28 Tianhe Yu , Aviral Kumar , Rafael Rafailov , Aravind Rajeswaran , Sergey Levine , Chelsea Finn

Fast and accurate solution of time-dependent partial differential equations (PDEs) is of key interest in many research fields including physics, engineering, and biology. Generally, implicit schemes are preferred over the explicit ones for…

Numerical Analysis · Mathematics 2019-11-28 Suprosanna Shit , Abinav Ravi Venkatakrishnan , Ivan Ezhov , Jana Lipkova , Marie Piraud , Bjoern Menze

Decentralized sparsity learning has attracted a significant amount of attention recently due to its rapidly growing applications. To obtain the robust and sparse estimators, a natural idea is to adopt the non-smooth median loss combined…

Machine Learning · Statistics 2022-03-02 Weidong Liu , Xiaojun Mao , Xin Zhang

Since its introduction in 2003, the influence maximization (IM) problem has drawn significant research attention in the literature. The aim of IM is to select a set of k users who can influence the most individuals in the social network.…

Social and Information Networks · Computer Science 2019-06-19 Hui Li , Mengting Xu , Sourav S Bhowmick , Changsheng Sun , Zhongyuan Jiang , Jiangtao Cui

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…

Machine Learning · Computer Science 2025-04-18 Ye Yuan , Youyuan Zhang , Can Chen , Haolun Wu , Zixuan Li , Jianmo Li , James J. Clark , Xue Liu

The surrogate-assisted optimization algorithm is a promising approach for solving expensive multi-objective optimization problems. However, most existing surrogate-assisted multi-objective optimization algorithms have three main drawbacks:…

Neural and Evolutionary Computing · Computer Science 2018-11-06 Xi Lin , Hui-Ling Zhen , Zhenhua Li , Qingfu Zhang , Sam Kwong

We propose a novel machine learning framework for solving optimization problems governed by large-scale partial differential equations (PDEs) with high-dimensional random parameters. Such optimization under uncertainty (OUU) problems may be…

Optimization and Control · Mathematics 2023-06-01 Dingcheng Luo , Thomas O'Leary-Roseberry , Peng Chen , Omar Ghattas

For many novel applications, such as patient-specific computer-aided surgery, conventional solution techniques of the underlying nonlinear problems are usually computationally too expensive and are lacking information about how certain can…

Machine Learning · Computer Science 2022-07-18 Saurabh Deshpande , Jakub Lengiewicz , Stéphane P. A. Bordas

Computing properties of molecular systems rely on estimating expectations of the (unnormalized) Boltzmann distribution. Molecular dynamics (MD) is a broadly adopted technique to approximate such quantities. However, stable simulations rely…

Chemical Physics · Physics 2023-10-31 Mathias Schreiner , Ole Winther , Simon Olsson

Particle accelerators are enabling tools for scientific exploration and discovery in various disciplines. Finding optimized operation points for these complex machines is a challenging task, however, due to the large number of parameters…

Accelerator Physics · Physics 2021-07-02 Renato Bellotti , Romana Boiger , Andreas Adelmann

The development of a reliable and robust surrogate model is often constrained by the dimensionality of the problem. For a system with high-dimensional inputs/outputs (I/O), conventional approaches usually use a low-dimensional manifold to…

Image and Video Processing · Electrical Eng. & Systems 2020-10-01 Xihaier Luo , Ahsan Kareem

This research concerns design optimization problems involving numerous design parameters and large computational models. These problems generally consist in non-convex constrained optimization problems in large and sometimes complex search…

Optimization and Control · Mathematics 2024-12-20 A. Batou

The dominant paradigm for power system dynamic simulation is to build system-level simulations by combining physics-based models of individual components. The sheer size of the system along with the rapid integration of inverter-based…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Matthew Bossart , Jose Daniel Lara , Ciaran Roberts , Rodrigo Henriquez-Auba , Duncan Callaway , Bri-Mathias Hodge