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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

Low-rank modeling generally refers to a class of methods that solve problems by representing variables of interest as low-rank matrices. It has achieved great success in various fields including computer vision, data mining, signal…

计算机视觉与模式识别 · 计算机科学 2014-10-24 Xiaowei Zhou , Can Yang , Hongyu Zhao , Weichuan Yu

Low-rank optimization has emerged as a promising approach to enabling memory-efficient training of large language models (LLMs). Existing low-rank optimization methods typically project gradients onto a low-rank subspace, reducing the…

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

神经与进化计算 · 计算机科学 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

Low-rank compression is an important model compression strategy for obtaining compact neural network models. In general, because the rank values directly determine the model complexity and model accuracy, proper selection of layer-wise rank…

机器学习 · 计算机科学 2024-01-15 Jinqi Xiao , Chengming Zhang , Yu Gong , Miao Yin , Yang Sui , Lizhi Xiang , Dingwen Tao , Bo Yuan

Convolutional Neural Networks (CNNs) are hard to deploy on edge devices due to its high computation and storage complexities. As a common practice for model compression, network pruning consists of two major categories: unstructured and…

计算机视觉与模式识别 · 计算机科学 2023-11-30 Yuchuan Tian , Hanting Chen , Tianyu Guo , Chao Xu , Yunhe Wang

Recurrent Neural Networks (RNNs) produce state-of-art performance on many machine learning tasks but their demand on resources in terms of memory and computational power are often high. Therefore, there is a great interest in optimizing the…

神经与进化计算 · 计算机科学 2017-02-28 Joachim Ott , Zhouhan Lin , Ying Zhang , Shih-Chii Liu , Yoshua Bengio

We study the problem of compressing recurrent neural networks (RNNs). In particular, we focus on the compression of RNN acoustic models, which are motivated by the goal of building compact and accurate speech recognition systems which can…

计算与语言 · 计算机科学 2016-05-03 Rohit Prabhavalkar , Ouais Alsharif , Antoine Bruguier , Ian McGraw

Convolutional neural networks (CNNs) have succeeded in many practical applications. However, their high computation and storage requirements often make them difficult to deploy on resource-constrained devices. In order to tackle this issue,…

机器学习 · 计算机科学 2022-01-14 Tianzong Yu , Chunyuan Zhang , Yuan Wang , Meng Ma , Qi Song

Convolutional neural networks (CNNs) have achieved state-of-the-art performance on various tasks in computer vision. However, recent studies demonstrate that these models are vulnerable to carefully crafted adversarial samples and suffer…

机器学习 · 计算机科学 2020-12-15 Xin Li , Xiangrui Li , Deng Pan , Dongxiao Zhu

Low-rank modeling has many important applications in computer vision and machine learning. While the matrix rank is often approximated by the convex nuclear norm, the use of nonconvex low-rank regularizers has demonstrated better empirical…

机器学习 · 计算机科学 2018-07-25 Quanming Yao , James T. Kwok , Taifeng Wang , Tie-Yan Liu

Convolutional Neural Networks (CNNs) perform very well in image classification and object detection in recent years, but even the most advanced models have limited rotation invariance. Known solutions include the enhancement of training…

计算机视觉与模式识别 · 计算机科学 2022-02-28 Zongbo Hao , Tao Zhang , Mingwang Chen , Kaixu Zhou

Convolutional neural networks typically consist of many convolutional layers followed by one or more fully connected layers. While convolutional layers map between high-order activation tensors, the fully connected layers operate on…

We study approximation and learning capacities of convolutional neural networks (CNNs) with one-side zero-padding and multiple channels. Our first result proves a new approximation bound for CNNs with certain constraint on the weights. Our…

机器学习 · 计算机科学 2025-07-29 Yunfei Yang , Han Feng , Ding-Xuan Zhou

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.…

机器学习 · 计算机科学 2020-05-12 Miao Yin , Siyu Liao , Xiao-Yang Liu , Xiaodong Wang , Bo Yuan

The omnipresence of deep learning architectures such as deep convolutional neural networks (CNN)s is fueled by the synergistic combination of ever-increasing labeled datasets and specialized hardware. Despite the indisputable success, the…

This paper tackles the problem of training a deep convolutional neural network of both low-bitwidth weights and activations. Optimizing a low-precision network is very challenging due to the non-differentiability of the quantizer, which may…

计算机视觉与模式识别 · 计算机科学 2021-06-07 Bohan Zhuang , Jing Liu , Mingkui Tan , Lingqiao Liu , Ian Reid , Chunhua Shen

Deep neural networks typically impose significant computational loads and memory consumption. Moreover, the large parameters pose constraints on deploying the model on edge devices such as embedded systems. Tensor decomposition offers a…

计算机视觉与模式识别 · 计算机科学 2024-08-30 Yaping He , Linhao Jiang , Di Wu

The tensor low-rank prior has attracted considerable attention in dynamic MR reconstruction. Tensor low-rank methods preserve the inherent high-dimensional structure of data, allowing for improved extraction and utilization of intrinsic…

图像与视频处理 · 电气工程与系统科学 2025-01-14 Yinghao Zhang , Peng Li , Yue Hu

Convolutional neural networks are modern models that are very efficient in many classification tasks. They were originally created for image processing purposes. Then some trials were performed to use them in different domains like natural…

计算与语言 · 计算机科学 2018-05-29 Krzysztof Wróbel , Marcin Pietroń , Maciej Wielgosz , Michał Karwatowski , Kazimierz Wiatr