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A new particle-based sampling and approximate inference method, based on electrostatics and Newton mechanics principles, is introduced with theoretical ground, algorithm design and experimental validation. This method simulates an…

Artificial Intelligence · Computer Science 2024-07-01 Yongchao Huang

We are interested to explore the limit in using deep learning (DL) to study the electromagnetic response for complex and random metasurfaces, without any specific applications in mind. For simplicity, we focus on a simple pure reflection…

Signal Processing · Electrical Eng. & Systems 2024-06-19 Tianning Zhang , Chun Yun Kee , Yee Sin Ang , L. K. Ang

We propose a sequential Monte Carlo algorithm for parameter learning when the studied model exhibits random discontinuous jumps in behaviour. To facilitate the learning of high dimensional parameter sets, such as those associated to neural…

Machine Learning · Statistics 2024-12-19 John-Joseph Brady , Yuhui Luo , Wenwu Wang , Víctor Elvira , Yunpeng Li

A key question for machine learning approaches in particle physics is how to best represent and learn from collider events. As an event is intrinsically a variable-length unordered set of particles, we build upon recent machine learning…

High Energy Physics - Phenomenology · Physics 2020-04-17 Patrick T. Komiske , Eric M. Metodiev , Jesse Thaler

In this work, we derive particle schemes, based on micro-macro decomposition, for linear kinetic equations in the diffusion limit. Due to the particle approximation of the micro part, a splitting between the transport and the collision part…

Numerical Analysis · Mathematics 2017-01-19 Anaïs Crestetto , Nicolas Crouseilles , Mohammed Lemou

This work introduces ShapeGen3DCP, a deep learning framework for fast and accurate prediction of filament cross-sectional geometry in 3D Concrete Printing (3DCP). The method is based on a neural network architecture that takes as input both…

Computational Engineering, Finance, and Science · Computer Science 2026-02-13 Giacomo Rizzieri , Federico Lanteri , Liberato Ferrara , Massimiliano Cremonesi

Neural Processes (NPs) are a class of models that learn a mapping from a context set of input-output pairs to a distribution over functions. They are traditionally trained using maximum likelihood with a KL divergence regularization term.…

Machine Learning · Computer Science 2020-01-13 Andrew Carr , Jared Nielsen , David Wingate

Background: Single-particle cryo-electron microscopy (cryo-EM) has become a popular tool for structural determination of biological macromolecular complexes. High-resolution cryo-EM reconstruction often requires hundreds of thousands of…

Data Analysis, Statistics and Probability · Physics 2017-09-05 Yanan Zhu , Qi Ouyang , Youdong Mao

Numerical resolution of high-dimensional nonlinear PDEs remains a huge challenge due to the curse of dimensionality. Starting from the weak formulation of the Lawson-Euler scheme, this paper proposes a stochastic particle method (SPM) by…

Numerical Analysis · Mathematics 2025-02-11 Zhengyang Lei , Sihong Shao , Yunfeng Xiong

Deep learning methods have shown great promise in many practical applications, ranging from speech recognition, visual object recognition, to text processing. However, most of the current deep learning methods suffer from scalability…

Machine Learning · Statistics 2015-08-31 Yanping Huang , Sai Zhang

To fill the gap between accurate (and expensive) ab initio calculations and efficient atomistic simulations based on empirical interatomic potentials, a new class of descriptions of atomic interactions has emerged and been widely applied;…

Materials Science · Physics 2024-03-28 Tongqi Wen , Linfeng Zhang , Han Wang , Weinan E , David J. Srolovitz

We present a discrete model of chemotaxis whereby cells responding to a chemoattractant are seen as individual agents whose movement is described through a set of rules that result in a biased random walk. In order to take into account…

Analysis of PDEs · Mathematics 2020-03-27 Federica Bubba , Tommaso Lorenzi , Fiona R Macfarlane

The performance of traditional compressive sensing-based MRI (CS-MRI) reconstruction is affected by its slow iterative procedure and noise-induced artefacts. Although many deep learning-based CS-MRI methods have been proposed to mitigate…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 Yifeng Guo , Chengjia Wang , Heye Zhang , Guang Yang

Probabilistic power flow (PPF) plays a critical role in power system analysis. However, the high computational burden makes it challenging for the practical implementation of PPF. This paper proposes a model-based deep learning approach to…

Signal Processing · Electrical Eng. & Systems 2019-09-17 Yan Yang , Zhifang Yang , Juan Yu , Baosen Zhang

Most learning approaches treat dimensionality reduction (DR) and clustering separately (i.e., sequentially), but recent research has shown that optimizing the two tasks jointly can substantially improve the performance of both. The premise…

Machine Learning · Computer Science 2017-06-15 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos , Mingyi Hong

Prediction of complete step-by-step chemical reaction mechanisms (CRMs) remains a major challenge. Whereas the traditional approaches in CRM tasks rely on expert-driven experiments or costly quantum chemical computations, contemporary deep…

Chemical Physics · Physics 2025-12-11 Manajit Das , Ajnabiul Hoque , Mayank Baranwal , Raghavan B. Sunoj

A major bottleneck in the quest for scalable many-body quantum technologies is the difficulty in benchmarking their preparations, which suffer from an exponential `curse of dimensionality' inherent to their quantum states. We present an…

Quantum Physics · Physics 2019-07-31 Juan Carrasquilla , Giacomo Torlai , Roger G. Melko , Leandro Aolita

This paper introduces a meta-learning approach for parameterized pseudo-differential operators with deep neural networks. With the help of the nonstandard wavelet form, the pseudo-differential operators can be approximated in a compressed…

Numerical Analysis · Mathematics 2020-02-26 Jordi Feliu-Faba , Yuwei Fan , Lexing Ying

Auto-chemotaxis, the directed movement of cells along gradients in chemicals they secrete, is central to the formation of complex spatiotemporal patterns in biological systems. Since the introduction of the Keller--Segel model, numerous…

Soft Condensed Matter · Physics 2025-11-18 Henrik Weyer , David Muramatsu , Erwin Frey

Sequential Monte Carlo (SMC) methods, also known as particle filters, are simulation-based recursive algorithms for the approximation of the a posteriori probability measures generated by state-space dynamical models. At any given time $t$,…

Computation · Statistics 2016-11-24 Dan Crisan , Joaquín Míguez
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