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Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

机器学习 · 统计学 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

Tensor Train (TT) decompositions provide a powerful framework to compress grid-structured data, such as sampled function values, on regular Cartesian grids. Such high compression, in turn, enables efficient high-dimensional computations.…

数值分析 · 数学 2026-01-08 Siddhartha E. Guzman , Egor Tiunov , Leandro Aolita

Tensor Train decomposition is used across many branches of machine learning. We present T3F -- a library for Tensor Train decomposition based on TensorFlow. T3F supports GPU execution, batch processing, automatic differentiation, and…

数学软件 · 计算机科学 2020-03-04 Alexander Novikov , Pavel Izmailov , Valentin Khrulkov , Michael Figurnov , Ivan Oseledets

DeepTensor is a computationally efficient framework for low-rank decomposition of matrices and tensors using deep generative networks. We decompose a tensor as the product of low-rank tensor factors (e.g., a matrix as the outer product of…

Tensor decomposition is one of the fundamental technique for model compression of deep convolution neural networks owing to its ability to reveal the latent relations among complex structures. However, most existing methods compress the…

计算机视觉与模式识别 · 计算机科学 2021-12-08 Bo-Shiuan Chu , Che-Rung Lee

Although the convolutional neural networks (CNNs) have become popular for various image processing and computer vision task recently, it remains a challenging problem to reduce the storage cost of the parameters for resource-limited…

机器学习 · 计算机科学 2018-11-01 Chao Li , Zhun Sun , Jinshi Yu , Ming Hou , Qibin Zhao

Deep Convolutional Neural Networks (CNNs) are increasingly difficult to deploy on microcontrollers (MCUs) and lightweight NPUs (Neural Processing Units) due to their growing size and compute demands. Low-rank tensor decomposition, such as…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Sudhakar Sah , Nikhil Chabbra , Matthieu Durnerin

The embedding layers transforming input words into real vectors are the key components of deep neural networks used in natural language processing. However, when the vocabulary is large, the corresponding weight matrices can be enormous,…

计算与语言 · 计算机科学 2020-02-20 Oleksii Hrinchuk , Valentin Khrulkov , Leyla Mirvakhabova , Elena Orlova , Ivan Oseledets

Neuron pruning is an efficient method to compress the network into a slimmer one for reducing the computational cost and storage overhead. Most of state-of-the-art results are obtained in a layer-by-layer optimization mode. It discards the…

计算机视觉与模式识别 · 计算机科学 2018-12-18 Weijie Chen , Yuan Zhang , Di Xie , Shiliang Pu

Recurrent Neural Networks (RNNs) have been widely used in sequence analysis and modeling. However, when processing high-dimensional data, RNNs typically require very large model sizes, thereby bringing a series of deployment challenges.…

计算机视觉与模式识别 · 计算机科学 2021-04-21 Miao Yin , Siyu Liao , Xiao-Yang Liu , Xiaodong Wang , Bo Yuan

Tensor Networks (TN) offer a powerful framework to efficiently represent very high-dimensional objects. TN have recently shown their potential for machine learning applications and offer a unifying view of common tensor decomposition models…

机器学习 · 计算机科学 2021-06-24 Meraj Hashemizadeh , Michelle Liu , Jacob Miller , Guillaume Rabusseau

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

We address the computational barrier of deploying advanced deep learning segmentation models in clinical settings by studying the efficacy of network compression through tensor decomposition. We propose a post-training Tucker factorization…

图像与视频处理 · 电气工程与系统科学 2024-04-19 Tobias Weber , Jakob Dexl , David Rügamer , Michael Ingrisch

Modern neural networks have revolutionized the fields of computer vision (CV) and Natural Language Processing (NLP). They are widely used for solving complex CV tasks and NLP tasks such as image classification, image generation, and machine…

机器学习 · 计算机科学 2023-07-25 Xingyi Liu , Keshab K. Parhi

Neural network (NN) designed for challenging machine learning tasks is in general a highly nonlinear mapping that contains massive variational parameters. High complexity of NN, if unbounded or unconstrained, might unpredictably cause…

机器学习 · 计算机科学 2025-05-23 Yong Qing , Ke Li , Peng-Fei Zhou , Shi-Ju Ran

The compression of deep neural networks (DNNs) to reduce inference cost becomes increasingly important to meet realistic deployment requirements of various applications. There have been a significant amount of work regarding network…

机器学习 · 计算机科学 2020-11-12 Tianyi Chen , Bo Ji , Yixin Shi , Tianyu Ding , Biyi Fang , Sheng Yi , Xiao Tu

In this paper, we propose an efficient numerical method to solve high-dimensional nonlinear filtering (NLF) problems. Specifically, we use the tensor train decomposition method to solve the forward Kolmogorov equation (FKE) arising from the…

数值分析 · 数学 2019-08-13 Sijing Li , Zhongjian Wang , Stephen S. T. Yau , Zhiwen Zhang

The success of DNNs and their high computational requirements pushed for large codesign efforts aiming at DNN acceleration. Since DNNs can be represented as static computational graphs, static memory allocation and tiling are two crucial…

硬件体系结构 · 计算机科学 2025-04-08 Victor J. B. Jung , Alessio Burrello , Francesco Conti , Luca Benini

We present TensoRF, a novel approach to model and reconstruct radiance fields. Unlike NeRF that purely uses MLPs, we model the radiance field of a scene as a 4D tensor, which represents a 3D voxel grid with per-voxel multi-channel features.…

计算机视觉与模式识别 · 计算机科学 2022-11-30 Anpei Chen , Zexiang Xu , Andreas Geiger , Jingyi Yu , Hao Su

In recent years, deep learning techniques have been introduced into the field of trajectory optimization to improve convergence and speed. Training such models requires large trajectory datasets. However, the convergence of low thrust (LT)…

最优化与控制 · 数学 2022-02-11 Ruida Xie , Andrew G. Dempster