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Machine learning techniques are powerful tools for construction of emulators for complex systems. We explore different machine learning methods and conceptual methodologies, ranging from functional approximations to dynamical…

Dynamical Systems · Mathematics 2021-01-01 Hannah Lu , Dinara Ermakova , Haruko Murakami Wainwright , Liange Zheng , Daniel M. Tartakovsky

An autoencoder is a self-supervised machine-learning network trained to output a quantity identical to the input. Owing to its structure possessing a bottleneck with a lower dimension, an autoencoder works to achieve data compression,…

Fluid Dynamics · Physics 2025-07-02 Koji Fukagata , Kai Fukami

Knowledge Graph (KG) is a flexible structure that is able to describe the complex relationship between data entities. Currently, most KG embedding models are trained based on negative sampling, i.e., the model aims to maximize some…

Artificial Intelligence · Computer Science 2021-06-17 Zelong Li , Jianchao Ji , Zuohui Fu , Yingqiang Ge , Shuyuan Xu , Chong Chen , Yongfeng Zhang

In the context of energy transition, industrial plants that heavily rely on electricity face more and more price volatility. To continue operating in these conditions, the directors become continually more willing to increase their…

Optimization and Control · Mathematics 2021-04-20 Thibaut Cuvelier

This paper presents a novel, mathematically rigorous framework for autoencoder-type deep neural networks that combines optimal control theory and low-rank tensor methods to yield memory-efficient training and automated architecture…

Optimization and Control · Mathematics 2025-09-11 Ratna Khatri , Anthony Kolshorn , Colin Olson , Harbir Antil

Quantum machines are among the most promising technologies expected to provide significant improvements in the following years. However, bridging the gap between real-world applications and their implementation on quantum hardware is still…

Can physical concepts and laws emerge in a neural network as it learns to predict the observation data of physical systems? As a benchmark and a proof-of-principle study of this possibility, here we show an introspective learning…

Disordered Systems and Neural Networks · Physics 2019-12-02 Ce Wang , Hui Zhai , Yi-Zhuang You

The interpretability of machine learning, particularly for deep neural networks, is crucial for decision making in real-world applications. One approach is replacing the un-interpretable machine learning model with a surrogate model, which…

Machine Learning · Statistics 2020-07-22 Keiichi Kisamori , Keisuke Yamazaki , Yuto Komori , Hiroshi Tokieda

We present a library to automatically embed signal processing and neural network predictions into the material robots are made of. Deep and shallow neural network models are first trained offline using state-of-the-art machine learning…

Robotics · Computer Science 2019-11-12 Sarah Aguasvivas Manzano , Dana Hughes , Cooper Simpson , Radhen Patel , Nikolaus Correll

We propose a novel algorithm for performing federated learning with Echo State Networks (ESNs) in a client-server scenario. In particular, our proposal focuses on the adaptation of reservoirs by combining Intrinsic Plasticity with Federated…

Neural and Evolutionary Computing · Computer Science 2022-06-23 Valerio De Caro , Claudio Gallicchio , Davide Bacciu

Understanding the structure of knowledge domains is one of the foundational challenges in science of science. Here, we propose a neural embedding technique that leverages the information contained in the citation network to obtain…

Digital Libraries · Computer Science 2021-02-23 Hao Peng , Qing Ke , Ceren Budak , Daniel M. Romero , Yong-Yeol Ahn

The steady incompressible Navier--Stokes equations pose significant computational challenges due to their nonlinear convective terms and pressure--velocity coupling. Physics-informed neural networks (PINNs) provide a mesh-free framework for…

Quantum Physics · Physics 2026-05-15 Nahid Binandeh Dehaghani , Ban Q. Tran , Susan Mengel , Rafal Wisniewski , A. Pedro Aguiar

Data-driven machine learning models often require extensive datasets, which can be costly or inaccessible, and their predictions may fail to comply with established physical laws. Current approaches for incorporating physical priors…

Machine Learning · Computer Science 2025-11-19 Matilde Valente , Tiago C. Dias , Vasco Guerra , Rodrigo Ventura

Simulation of the dynamics of physical systems is essential to the development of both science and engineering. Recently there is an increasing interest in learning to simulate the dynamics of physical systems using neural networks.…

Machine Learning · Computer Science 2022-01-31 Ce Yang , Weihao Gao , Di Wu , Chong Wang

Large-scale electrification is vital to addressing the climate crisis, but several scientific and technological challenges remain to fully electrify both the chemical industry and transportation. In both of these areas, new electrochemical…

The frequent interactions between quantum computing and machine learning revolutionize both fields. One prototypical achievement is the quantum auto-encoder (QAE), as the leading strategy to relieve the curse of dimensionality ubiquitous in…

Quantum Physics · Physics 2024-10-03 Yuxuan Du , Dacheng Tao

Neural networks are increasingly used in complex (data-driven) simulations as surrogates or for accelerating the computation of classical surrogates. In many applications physical constraints, such as mass or energy conservation, must be…

Computational Physics · Physics 2020-02-25 Jim Magiera , Deep Ray , Jan S. Hesthaven , Christian Rohde

A recent alternative for hydrogen transportation as a mixture with natural gas is blending it into natural gas pipelines. However, hydrogen embrittlement of material is a major concern for scientists and gas installation designers to avoid…

Machine Learning · Computer Science 2023-06-26 Minh Triet Chau , João Lucas de Sousa Almeida , Elie Alhajjar , Alberto Costa Nogueira Junior

Solving partial differential equations (PDEs) is an important yet challenging task in fluid mechanics. In this study, we embed an improved Fourier series into neural networks and propose a physics-informed Fourier basis neural network…

Fluid Dynamics · Physics 2025-08-05 Chao Wang , Shilong Li , Zelong Yuan , Chunyu Guo

Process optimization in chemical engineering may be hindered by the limited availability of reliable thermodynamic data for fluid mixtures. Remarkable progress is being made in predicting thermodynamic mixture properties by machine learning…

Computational Engineering, Finance, and Science · Computer Science 2025-10-14 Martin Bubel , Tobias Seidel , Michael Bortz
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