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We introduce compositional tensor trains (CTTs) for the approximation of multivariate functions, a class of models obtained by composing low-rank functions in the tensor-train format. This format can encode standard approximation tools,…

数值分析 · 数学 2025-12-23 Martin Eigel , Charles Miranda , Anthony Nouy , David Sommer

Deep neural networks (DNNs) have enabled impressive breakthroughs in various artificial intelligence (AI) applications recently due to its capability of learning high-level features from big data. However, the current demand of DNNs for…

计算机视觉与模式识别 · 计算机科学 2020-09-22 Bijiao Wu , Dingheng Wang , Guangshe Zhao , Lei Deng , Guoqi Li

The recent ground-breaking advances in deep learning networks ( DNNs ) make them attractive for embedded systems. However, it can take a long time for DNNs to make an inference on resource-limited embedded devices. Offloading the…

性能 · 计算机科学 2018-05-14 Ben Taylor , Vicent Sanz Marco , Willy Wolff , Yehia Elkhatib , Zheng Wang

In this paper, we leverage a recent deep kernel representer theorem to connect kernel based learning and (deep) neural networks in order to understand their interplay. In particular, we show that the use of special types of kernels yields…

机器学习 · 计算机科学 2025-09-19 Tizian Wenzel , Gabriele Santin , Bernard Haasdonk

Neural networks have achieved state of the art results in many areas, supposedly due to parameter sharing, locality, and depth. Tensor networks (TNs) are linear algebraic representations of quantum many-body states based on their…

机器学习 · 计算机科学 2020-11-17 Philip Blagoveschensky , Anh Huy Phan

Three dimensional convolutional neural networks (3DCNNs) have been applied in many tasks, e.g., video and 3D point cloud recognition. However, due to the higher dimension of convolutional kernels, the space complexity of 3DCNNs is generally…

计算机视觉与模式识别 · 计算机科学 2020-08-12 Dingheng Wang , Guangshe Zhao , Guoqi Li , Lei Deng , Yang Wu

The recently discovered Neural collapse (NC) phenomenon states that the last-layer weights of Deep Neural Networks (DNN), converge to the so-called Equiangular Tight Frame (ETF) simplex, at the terminal phase of their training. This ETF…

机器学习 · 计算机科学 2024-03-01 Hafiz Tiomoko Ali , Umberto Michieli , Ji Joong Moon , Daehyun Kim , Mete Ozay

DNNs have gained widespread adoption in feature interaction recommendation models. However, there has been a longstanding debate on their roles. On one hand, some works claim that DNNs possess the ability to implicitly capture high-order…

机器学习 · 计算机科学 2026-04-30 Jiancheng Wang , Mingjia Yin , Hao Wang , Enhong Chen

This work focuses on designing low complexity hybrid tensor networks by considering trade-offs between the model complexity and practical performance. Firstly, we exploit a low-rank tensor-train deep neural network (TT-DNN) to build an…

机器学习 · 计算机科学 2022-03-14 Jun Qi , Chao-Han Huck Yang , Pin-Yu Chen , Javier Tejedor

Deep neural networks (DNNs) have been used to model complex optimization problems in many applications, yet have difficulty guaranteeing solution optimality and feasibility, despite training on large datasets. Training a NN as a surrogate…

最优化与控制 · 数学 2025-10-29 Fuat Can Beylunioglu , P. Robert Duimering , Mehrdad Pirnia

Deep learning has been a groundbreaking technology in various fields as well as in communications systems. In spite of the notable advancements of deep neural network (DNN) based technologies in recent years, the high computational…

信息论 · 计算机科学 2018-08-08 Minhoe Kim , Woonsup Lee , Jungmin Yoon , Ohyun Jo

There exists continuous demand of improved turbulence models for the closure of Reynolds Averaged Navier-Stokes (RANS) simulations. Machine Learning (ML) offers effective tools for establishing advanced empirical Reynolds stress closures on…

流体动力学 · 物理学 2021-04-01 Muyuan Liu , Yiren Yang , Hao Chen

A filtered density function (FDF) model based on deep neural network (DNN), termed DNN-FDF, is introduced for large eddy simulation (LES) of turbulent flows involving conserved scalar transport. The primary objectives of this study are to…

流体动力学 · 物理学 2023-10-02 Shubhangi Bansude , Reza Sheikhi

Simulations of large-scale plasma systems are typically based on a fluid approximation approach. These models construct a moment-based system of equations that approximate the particle-based physics as a fluid, but as a result lack the…

等离子体物理 · 物理学 2022-03-25 Brecht Laperre , Jorge Amaya , Sara Jamal , Giovanni Lapenta

The moments of spatial probabilistic systems are often given by an infinite hierarchy of coupled differential equations. Moment closure methods are used to approximate a subset of low order moments by terminating the hierarchy at some order…

机器学习 · 计算机科学 2019-05-30 Oliver K. Ernst , Tom Bartol , Terrence Sejnowski , Eric Mjolsness

The mechanism driving core-collapse supernovae is sensitive to the interplay between matter and neutrino radiation. However, neutrino radiation transport is very difficult to simulate, and several radiation transport methods of varying…

高能天体物理现象 · 物理学 2017-10-11 Sherwood Richers , Hiroki Nagakura , Christian D. Ott , Joshua Dolence , Kohsuke Sumiyoshi , Shoichi Yamada

Recently, deep neural networks (DNNs) have been regarded as the state-of-the-art classification methods in a wide range of applications, especially in image classification. Despite the success, the huge number of parameters blocks its…

机器学习 · 统计学 2017-12-18 Guangxi Li , Jinmian Ye , Haiqin Yang , Di Chen , Shuicheng Yan , Zenglin Xu

Deep Neural Networks (DNNs) suffer from a rapid decrease in performance when trained on a sequence of tasks where only data of the most recent task is available. This phenomenon, known as catastrophic forgetting, prevents DNNs from…

机器学习 · 计算机科学 2021-04-22 Felix Wiewel , Bin Yang

With the demand of high data rate and low latency in fifth generation (5G), deep neural network decoder (NND) has become a promising candidate due to its capability of one-shot decoding and parallel computing. In this paper, three types of…

信号处理 · 电气工程与系统科学 2018-02-01 Wei Lyu , Zhaoyang Zhang , Chunxu Jiao , Kangjian Qin , Huazi Zhang

We propose a novel deep structured learning framework for event temporal relation extraction. The model consists of 1) a recurrent neural network (RNN) to learn scoring functions for pair-wise relations, and 2) a structured support vector…

计算与语言 · 计算机科学 2019-09-26 Rujun Han , I-Hung Hsu , Mu Yang , Aram Galstyan , Ralph Weischedel , Nanyun Peng