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The determination of charged particle trajectories in collisions at the CERN Large Hadron Collider (LHC) is an important but challenging problem, especially in the high interaction density conditions expected during the future…

In this work, we firstly apply the Train-Tensor (TT) networks to construct a compact representation of the classical Multilayer Perceptron, representing a reduction of up to 95% of the coefficients. A comparative analysis between tensor…

Machine Learning · Computer Science 2021-03-31 M. Nazareth da Costa , R. Attux , A. Cichocki , J. M. T. Romano

Logic Tensor Networks (LTN) is a Neuro-Symbolic framework that effectively incorporates deep learning and logical reasoning. In particular, LTN allows defining a logical knowledge base and using it as the objective of a neural model. This…

Artificial Intelligence · Computer Science 2024-09-25 Tommaso Carraro , Luciano Serafini , Fabio Aiolli

Neural Tensor Networks (NTNs), which are structured to encode the degree of relationship among pairs of entities, are used in Logic Tensor Networks (LTNs) to facilitate Statistical Relational Learning (SRL) in first-order logic. In this…

Machine Learning · Computer Science 2020-10-07 Jinyung Hong , Theodore P. Pavlic

The restricted Boltzmann machine (RBM) is one of the fundamental building blocks of deep learning. RBM finds wide applications in dimensional reduction, feature extraction, and recommender systems via modeling the probability distributions…

Strongly Correlated Electrons · Physics 2018-02-07 Jing Chen , Song Cheng , Haidong Xie , Lei Wang , Tao Xiang

Recent work has shown that Field-Programmable Gate Arrays (FPGAs) play an important role in the acceleration of Machine Learning applications. Initial specification of machine learning applications are often done using a high-level…

Machine Learning · Computer Science 2018-07-17 Daniel H. Noronha , Bahar Salehpour , Steven J. E. Wilton

We investigate the disordered spin-$\frac12$Heisenberg model in two dimensions and employ tree tensor networks (TTNs) with a physics-informed structural optimization of the tree layout, to simulate dynamics in the many-body localization…

Disordered Systems and Neural Networks · Physics 2025-12-23 Lars Humpert , Dante M. Kennes , Jan-Niklas Herre

Recurrent Neural Networks (RNNs) and their variants, such as Long-Short Term Memory (LSTM) networks, and Gated Recurrent Unit (GRU) networks, have achieved promising performance in sequential data modeling. The hidden layers in RNNs can be…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Yu Pan , Jing Xu , Maolin Wang , Jinmian Ye , Fei Wang , Kun Bai , Zenglin Xu

We present a tensor network model (TNM) for forecasting nonlinear and chaotic dynamics, bridging quantum many-body methods with classical complex systems. The TNM leverages hierarchical tensor contractions to encode non-Markovian temporal…

Quantum Physics · Physics 2025-11-13 Jia-Bin You , Jian Feng Kong , Jun Ye

In-time particle trajectory reconstruction in the Large Hadron Collider is challenging due to the high collision rate and numerous particle hits. Using GNN (Graph Neural Network) on FPGA has enabled superior accuracy with flexible…

Hardware Architecture · Computer Science 2023-06-28 Shi-Yu Huang , Yun-Chen Yang , Yu-Ru Su , Bo-Cheng Lai , Javier Duarte , Scott Hauck , Shih-Chieh Hsu , Jin-Xuan Hu , Mark S. Neubauer

We present a generic parallel implementation of the decision tree-based machine learning (ML) method in hardware description language (HDL) on field programmable gate arrays (FPGA). A regression problem in high energy physics at the Large…

High Energy Physics - Experiment · Physics 2025-11-05 Pavel Serhiayenka , Stephen Roche , Benjamin Carlson , Tae Min Hong

Recently, a new frontier in computing has emerged with physical neural networks(PNNs) harnessing intrinsic physical processes for learning. Here, we explore topological mechanical neural networks(TMNNs) inspired by the quantum spin Hall…

Disordered Systems and Neural Networks · Physics 2025-03-12 Shuaifeng Li , Xiaoming Mao

The Recurrent Neural Networks and their variants have shown promising performances in sequence modeling tasks such as Natural Language Processing. These models, however, turn out to be impractical and difficult to train when exposed to very…

Computer Vision and Pattern Recognition · Computer Science 2017-07-07 Yinchong Yang , Denis Krompass , Volker Tresp

A tensor network is a type of decomposition used to express and approximate large arrays of data. A given data-set, quantum state or higher dimensional multi-linear map is factored and approximated by a composition of smaller multi-linear…

Quantum Physics · Physics 2022-07-08 Richik Sengupta , Soumik Adhikary , Ivan Oseledets , Jacob Biamonte

This book serves as an introductory yet thorough guide to tensor networks and their applications in quantum computation and quantum information, designed for advanced undergraduate and graduate-level readers. In Part I, foundational topics…

Quantum Physics · Physics 2025-03-07 Mario Collura , Guglielmo Lami , Nishan Ranabhat , Alessandro Santini

Invariance has recently proven to be a powerful inductive bias in machine learning models. One such class of predictive or generative models are tensor networks. We introduce a new numerical algorithm to construct a basis of tensors that…

Machine Learning · Computer Science 2024-07-02 Brent Sprangers , Nick Vannieuwenhoven

Large-scale tensor network simulations are crucial for developing robust complexity-theoretic bounds on classical quantum simulation, enabling circuit cutting approaches, and optimizing circuit compilation, all of which aid efficient…

Quantum Physics · Physics 2026-01-09 Aaron C. Hoyt , Jonathan S. Bersson , Sean Garner , Chenxu Liu , Ang Li

Graph classification is an important learning task for graph-structured data. Graph neural networks (GNNs) have recently gained growing attention in graph learning and have shown significant improvements in many important graph problems.…

Machine Learning · Computer Science 2024-01-31 Tao Wen , Elynn Chen , Yuzhou Chen

Almost in every heavily computation-dependent application, from 6G communication systems to autonomous driving platforms, a large portion of computing should be near to the client side. Edge computing (AI at Edge) in mobile devices is one…

Hardware Architecture · Computer Science 2024-07-29 Seyed Nima Omidsajedi , Rekha Reddy , Jianming Yi , Jan Herbst , Christoph Lipps , Hans Dieter Schotten

Transformer neural networks (TNN) have been widely utilized on a diverse range of applications, including natural language processing (NLP), machine translation, and computer vision (CV). Their widespread adoption has been primarily driven…

Hardware Architecture · Computer Science 2024-09-24 Ehsan Kabir , Jason D. Bakos , David Andrews , Miaoqing Huang
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