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Physics-informed neural networks (PINNs) have made significant strides in modeling dynamical systems governed by partial differential equations (PDEs). However, their generalization capabilities across varying scenarios remain limited. To…

Machine Learning · Computer Science 2024-12-02 Honghui Wang , Yifan Pu , Shiji Song , Gao Huang

To perform dynamic cable manipulation to realize the configuration specified by a target image, we formulate dynamic cable manipulation as a stochastic forward model. Then, we propose a method to handle uncertainty by maximizing the…

Robotics · Computer Science 2023-01-30 Kuniyuki Takahashi , Tadahiro Taniguchi

Bayesian optimization (BO) is a widely used framework for optimizing expensive black-box functions, commonly based on Gaussian process (GP) surrogate models. Its effectiveness relies on uncertainty quantification that is both sharp…

Machine Learning · Computer Science 2026-05-12 Marshal Arijona Sinaga , Julien Martinelli , Teemu Turpeinen , Samuel Kaski

This paper addresses the problem of constrained multi-objective optimization over black-box objective functions with practitioner-specified preferences over the objectives when a large fraction of the input space is infeasible (i.e.,…

Machine Learning · Computer Science 2023-03-24 Alaleh Ahmadianshalchi , Syrine Belakaria , Janardhan Rao Doppa

Bayesian optimization (BO) is a sample-efficient method and has been widely used for optimizing expensive black-box functions. Recently, there has been a considerable interest in BO literature in optimizing functions that are affected by…

Machine Learning · Computer Science 2023-12-22 Xiaobin Huang , Lei Song , Ke Xue , Chao Qian

Physics-Informed Neural Networks (PINNs) seek to solve partial differential equations (PDEs) with deep learning. Mainstream approaches that deploy fully-connected multi-layer deep learning architectures require prolonged training to achieve…

Machine Learning · Computer Science 2025-12-16 Shaghayegh Fazliani , Zachary Frangella , Madeleine Udell

Physics-informed neural networks (PINNs) have proven to be a promising method for the rapid solving of partial differential equations (PDEs) in both forward and inverse problems. However, due to the smoothness assumption of functions…

Computational Physics · Physics 2026-03-25 Guoqiang Lei , D. Exposito , Xuerui Mao

Bayesian optimization (BO) is a popular method to optimize costly black-box functions. While traditional BO optimizes each new target task from scratch, meta-learning has emerged as a way to leverage knowledge from related tasks to optimize…

Machine Learning · Computer Science 2024-07-01 Jiarong Pan , Stefan Falkner , Felix Berkenkamp , Joaquin Vanschoren

Physics-informed neural operators have emerged as a powerful paradigm for solving parametric partial differential equations (PDEs), particularly in the aerospace field, enabling the learning of solution operators that generalize across…

Machine Learning · Computer Science 2025-06-24 Jing Wang , Biao Chen , Hairun Xie , Rui Wang , Yifan Xia , Jifa Zhang , Hui Xu

Discrete black-box optimization problems are challenging for model-based optimization (MBO) algorithms, such as Bayesian optimization, due to the size of the search space and the need to satisfy combinatorial constraints. In particular,…

Optimization and Control · Mathematics 2022-06-15 Theodore Papalexopoulos , Christian Tjandraatmadja , Ross Anderson , Juan Pablo Vielma , David Belanger

Physics-informed neural networks (PINNs) incorporate physical laws into their training to efficiently solve partial differential equations (PDEs) with minimal data. However, PINNs fail to guarantee adherence to conservation laws, which are…

Machine Learning · Computer Science 2024-10-24 Anthony Baez , Wang Zhang , Ziwen Ma , Subhro Das , Lam M. Nguyen , Luca Daniel

Physics-Informed Neural Network (PINN) is a novel multi-task learning framework useful for solving physical problems modeled using differential equations (DEs) by integrating the knowledge of physics and known constraints into the…

Machine Learning · Computer Science 2024-09-18 Shivprasad Kathane , Shyamprasad Karagadde

Black-box optimization methods play an important role in many fields of computational simulation. In particular, such methods are often used in the design and modelling of biological systems, including proteins and their complexes with…

Biomolecules · Quantitative Biology 2023-02-08 Dmitry Morozov , Artem Melnikov , Vishal Shete , Michael Perelshtein

Physics-Informed Neural Networks (PINNs) have emerged as a promising paradigm for solving partial differential equations (PDEs) by embedding physical laws into neural network training objectives. However, their deployment on…

Machine Learning · Computer Science 2025-12-11 Jinming Lu , Jiayi Tian , Yequan Zhao , Hai Li , Zheng Zhang

As a typical application of deep learning, physics-informed neural network (PINN) {has been} successfully used to find numerical solutions of partial differential equations (PDEs), but how to improve the limited accuracy is still a great…

Machine Learning · Computer Science 2022-08-09 Zhi-Yong Zhang , Hui Zhang , Li-Sheng Zhang , Lei-Lei Guo

Physics-informed neural networks (PINNs) have garnered significant interest for their potential in solving partial differential equations (PDEs) that govern a wide range of physical phenomena. By incorporating physical laws into the…

Machine Learning · Computer Science 2026-04-24 Jian Cheng Wong , Isaac Yin Chung Lai , Pao-Hsiung Chiu , Chin Chun Ooi , Abhishek Gupta , Yew-Soon Ong

We focus on the problem of black-box adversarial attacks, where the aim is to generate adversarial examples using information limited to loss function evaluations of input-output pairs. We use Bayesian optimization~(BO) to specifically…

Machine Learning · Computer Science 2019-10-01 Satya Narayan Shukla , Anit Kumar Sahu , Devin Willmott , J. Zico Kolter

Bayesian optimization (BO) is an effective approach to optimize expensive black-box functions, that seeks to trade-off between exploitation (selecting parameters where the maximum is likely) and exploration (selecting parameters where we…

Machine Learning · Statistics 2021-10-19 Tristan Fauvel , Matthew Chalk

Bayesian Optimisation (BO) refers to a suite of techniques for global optimisation of expensive black box functions, which use introspective Bayesian models of the function to efficiently search for the optimum. While BO has been applied…

This study proposes a self-optimization physics-informed Fourier-features randomized neural network (SO-PIFRNN) framework, which significantly improves the numerical solving accuracy of PDEs through hyperparameter optimization mechanism.…

Neural and Evolutionary Computing · Computer Science 2025-08-18 Jiale Linghu , Weifeng Gao , Hao Dong , Yufeng Nie
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