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Physics-informed Neural Networks (PINNs) have recently emerged as a principled way to include prior physical knowledge in form of partial differential equations (PDEs) into neural networks. Although PINNs are generally viewed as mesh-free,…

Machine Learning · Computer Science 2022-10-04 Fabricio Arend Torres , Marcello Massimo Negri , Monika Nagy-Huber , Maxim Samarin , Volker Roth

Motivated by recent research on Physics-Informed Neural Networks (PINNs), we make the first attempt to introduce the PINNs for numerical simulation of the elliptic Partial Differential Equations (PDEs) on 3D manifolds. PINNs are one of the…

Numerical Analysis · Mathematics 2021-03-05 Zhuochao Tang , Zhuojia Fu

The performance of a deep neural network is heavily dependent on its architecture and various neural architecture search strategies have been developed for automated network architecture design. Recently, evolutionary neural architecture…

Neural and Evolutionary Computing · Computer Science 2020-03-27 Haoyu Zhang , Yaochu Jin , Ran Cheng , Kuangrong Hao

Reconfigurable intelligent surfaces (RISs) constitute a promising performance enhancement for next-generation (NG) wireless networks in terms of enhancing both their spectrum efficiency (SE) and energy efficiency (EE). We conceive a system…

Signal Processing · Electrical Eng. & Systems 2023-04-06 Tianwei Hou , Yuanwei Liu , Zhengyu Song , Xin Sun , Yue Chen , Lajos HanzoE

We show that chemically-accurate potential energy surfaces (PESs) can be generated from quantum computers by measuring only the density along an adiabatic transition between different molecular geometries. In lieu of using phase estimation,…

Quantum Physics · Physics 2024-10-08 James Brown

Ring polymer molecular dynamics (RPMD) has proven to be an accurate approach for calculating thermal rate coefficients of various chemical reactions. For wider application of this methodology, efficient ways to generate the underlying…

Chemical Physics · Physics 2020-01-08 Ivan S. Novikov , Alexander V. Shapeev , Yury V. Suleimanov

Training deep neural networks (DNNs) directly on edge devices has attracted increasing attention, as it offers promising solutions to challenges such as domain adaptation and privacy preservation. However, conventional DNN training…

Machine Learning · Computer Science 2025-08-26 Boran Zhao , Hetian Liu , Zihang Yuan , Li Zhu , Fan Yang , Lina Xie Tian Xia , Wenzhe Zhao , Pengju Ren

We introduce Explicit Neural Surfaces (ENS), an efficient smooth surface representation that directly encodes topology with a deformation field from a known base domain. We apply this representation to reconstruct explicit surfaces from…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Thomas Walker , Octave Mariotti , Amir Vaxman , Hakan Bilen

The demand for low-power inference and training of deep neural networks (DNNs) on edge devices has intensified the need for algorithms that are both scalable and energy-efficient. While spiking neural networks (SNNs) allow for efficient…

Neural and Evolutionary Computing · Computer Science 2025-11-18 Marco Paul E. Apolinario , Kaushik Roy , Charlotte Frenkel

Machine learning techniques allow a direct mapping of atomic positions and nuclear charges to the potential energy surface with almost ab-initio accuracy and the computational efficiency of empirical potentials. In this work we propose a…

Computational Physics · Physics 2021-09-16 Viktor Zaverkin , Johannes Kästner

Learning Bayesian Networks (BNs) from high-dimensional data is a complex and time-consuming task. Although there are approaches based on horizontal (instances) or vertical (variables) partitioning in the literature, none can guarantee the…

Machine Learning · Computer Science 2024-09-23 Jorge D. Laborda , Pablo Torrijos , José M. Puerta , José A. Gámez

Existing neural active learning algorithms have aimed to optimize the predictive performance of neural networks (NNs) by selecting data for labelling. However, other than a good predictive performance, being robust against random parameter…

Machine Learning · Computer Science 2023-06-08 Apivich Hemachandra , Zhongxiang Dai , Jasraj Singh , See-Kiong Ng , Bryan Kian Hsiang Low

Annotating the right data for training deep neural networks is an important challenge. Active learning using uncertainty estimates from Bayesian Neural Networks (BNNs) could provide an effective solution to this. Despite being theoretically…

Computer Vision and Pattern Recognition · Computer Science 2019-02-22 Kashyap Chitta , Jose M. Alvarez , Adam Lesnikowski

We propose a novel information-theoretic approach for Bayesian optimization called Predictive Entropy Search (PES). At each iteration, PES selects the next evaluation point that maximizes the expected information gained with respect to the…

Machine Learning · Statistics 2014-06-11 José Miguel Hernández-Lobato , Matthew W. Hoffman , Zoubin Ghahramani

Recurrent neural networks (RNNs) can be interpreted as discrete-time state-space models, where the state evolution corresponds to an infinite-impulse-response (IIR) filtering operation governed by both feedforward weights and recurrent…

Machine Learning · Computer Science 2026-02-26 Alexander Morgan , Ummay Sumaya Khan , Lingjia Liu , Lizhong Zheng

Random walk neural networks (RWNNs) have emerged as a promising approach for graph representation learning, leveraging recent advances in sequence models to process random walks. However, under realistic sampling constraints, RWNNs often…

Machine Learning · Computer Science 2025-10-28 Michael Ito , Danai Koutra , Jenna Wiens

Establishing associations between the structure and the generalisation ability of deep neural networks (DNNs) is a challenging task in modern machine learning. Producing solutions to this challenge will bring progress both in the…

Machine Learning · Computer Science 2020-05-01 Mehmet Süzen , J. J. Cerdà , Cornelius Weber

Reconfigurable intelligent surfaces (RISs) modify signal reflections to enhance wireless communication capabilities. Classical RIS phase optimization is highly non convex and challenging in dynamic environments due to high interference and…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Noha Hassan , Xavier Fernando , Halim Yanikomeroglu

The goal of this work is to train a neural network which approximates solutions to the Navier-Stokes equations across a region of parameter space, in which the parameters define physical properties such as domain shape and boundary…

Computational Physics · Physics 2021-06-02 Christopher J Arthurs , Andrew P King

To capture the communications gain of the massive radiating elements with low power cost, the conventional reconfigurable intelligent surface (RIS) usually works in passive mode. However, due to the cascaded channel structure and the lack…

Signal Processing · Electrical Eng. & Systems 2020-09-04 Shunbo Zhang , Shun Zhang , Feifei Gao , Jianpeng Ma , Octavia A. Dobre
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