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In an era increasingly focused on green computing and explainable AI, revisiting traditional approaches in theoretical and phenomenological particle physics is paramount. This project evaluates various machine learning (ML)…

High Energy Physics - Phenomenology · Physics 2025-04-30 Vasileios Vatellis

Large multilayer neural networks trained with backpropagation have recently achieved state-of-the-art results in a wide range of problems. However, using backprop for neural net learning still has some disadvantages, e.g., having to tune a…

Machine Learning · Statistics 2015-07-16 José Miguel Hernández-Lobato , Ryan P. Adams

In orthogonal frequency division multiplexing (OFDM), accurate channel estimation is crucial. Classical signal processing-based approaches, such as linear minimum mean-squared error (LMMSE) estimation, often require second-order statistics…

Signal Processing · Electrical Eng. & Systems 2026-01-28 TaeJun Ha , Chaehyun Jung , Hyeonuk Kim , Jeongwoo Park , Jeonghun Park

In this work, we propose a novel backward differential deep learning-based algorithm for solving high-dimensional nonlinear backward stochastic differential equations (BSDEs), where the deep neural network (DNN) models are trained not only…

Numerical Analysis · Mathematics 2024-04-15 Lorenc Kapllani , Long Teng

Perceptual sound matching (PSM) aims to find the input parameters to a synthesizer so as to best imitate an audio target. Deep learning for PSM optimizes a neural network to analyze and reconstruct prerecorded samples. In this context, our…

Sound · Computer Science 2024-05-07 Han Han , Vincent Lostanlen , Mathieu Lagrange

The deep operator network (DeepONet) is a popular neural operator architecture that has shown promise in solving partial differential equations (PDEs) by using deep neural networks to map between infinite-dimensional function spaces. In the…

Machine Learning · Computer Science 2025-02-25 Luis Mandl , Somdatta Goswami , Lena Lambers , Tim Ricken

Deep learning is the backbone of artificial intelligence technologies, and it can be regarded as a kind of multilayer feedforward neural network. An essence of deep learning is information propagation through layers. This suggests that…

Neural and Evolutionary Computing · Computer Science 2021-04-02 Genki Furuhata , Tomoaki Niiyama , Satoshi Sunada

Deep neural networks have achieved remarkable breakthroughs by leveraging multiple layers of data processing to extract hidden representations, albeit at the cost of large electronic computing power. To enhance energy efficiency and speed,…

For the past couple of decades, numerical optimization has played a central role in addressing wireless resource management problems such as power control and beamformer design. However, optimization algorithms often entail considerable…

Information Theory · Computer Science 2018-09-18 Haoran Sun , Xiangyi Chen , Qingjiang Shi , Mingyi Hong , Xiao Fu , Nicholas D. Sidiropoulos

Modeling dynamics in the form of partial differential equations (PDEs) is an effectual way to understand real-world physics processes. For complex physics systems, analytical solutions are not available and numerical solutions are…

Numerical Analysis · Mathematics 2024-01-19 Zijiang Yang , Zhongwei Qiu , Dongmei Fu

The paper presents an efficient and robust data-driven deep learning (DL) computational framework developed for linear continuum elasticity problems. The methodology is based on the fundamentals of the Physics Informed Neural Networks…

Machine Learning · Computer Science 2023-02-21 Arunabha M. Roy , Rikhi Bose

Stochastic digital backpropagation (SDBP) is an extension of digital backpropagation (DBP) and is based on the maximum a posteriori principle. SDBP takes into account noise from the optical amplifiers in addition to handling deterministic…

Information Theory · Computer Science 2024-01-25 Naga V. Irukulapati , Domenico Marsella , Pontus Johannisson , Erik Agrell , Marco Secondini , Henk Wymeersch

Solving partial differential equations remains a central challenge in scientific machine learning. Neural operators offer a promising route by learning mappings between function spaces and enabling resolution-independent inference, yet they…

Machine Learning · Computer Science 2026-02-03 Paolo Marcandelli , Natansh Mathur , Stefano Markidis , Martina Siena , Stefano Mariani

Applications in quantitative finance such as optimal trade execution, risk management of options, and optimal asset allocation involve the solution of high dimensional and nonlinear Partial Differential Equations (PDEs). The connection…

Machine Learning · Statistics 2019-10-28 Batuhan Güler , Alexis Laignelet , Panos Parpas

More competent learning models are demanded for data processing due to increasingly greater amounts of data available in applications. Data that we encounter often have certain embedded sparsity structures. That is, if they are represented…

Numerical Analysis · Mathematics 2022-07-28 Yuesheng Xu , Taishan Zeng

This paper proposes a machine learning-assisted channel estimation approach for massive MIMO systems, leveraging DNNs to outperform traditional LS and MMSE methods. In 5G and beyond, accurate channel estimation mitigates pilot contamination…

Signal Processing · Electrical Eng. & Systems 2025-10-16 Haoran He

Neural network has attracted great attention for a long time and many researchers are devoted to improve the effectiveness of neural network training algorithms. Though stochastic gradient descent (SGD) and other explicit gradient-based…

Optimization and Control · Mathematics 2020-02-11 Ren Liu , Xiaoqun Zhang

In this paper, we apply deep learning for communication over dispersive channels with power detection, as encountered in low-cost optical intensity modulation/direct detection (IM/DD) links. We consider an autoencoder based on the recently…

Information Theory · Computer Science 2019-10-03 Boris Karanov , Gabriele Liga , Vahid Aref , Domaniç Lavery , Polina Bayvel , Laurent Schmalen

Physics-Informed Neural Networks (PINNs) represent a significant advancement in Scientific Machine Learning (SciML), which integrate physical domain knowledge into an empirical loss function as soft constraints and apply existing machine…

Machine Learning · Computer Science 2024-09-18 Xiaoran Cheng , Sen Na

We propose a deep learning algorithm for solving high-dimensional parabolic integro-differential equations (PIDEs) and high-dimensional forward-backward stochastic differential equations with jumps (FBSDEJs), where the jump-diffusion…

Numerical Analysis · Mathematics 2023-01-31 Wansheng Wang , Jie Wang , Jinping Li , Feifei Gao , Yi Fu