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The training process of neural networks is known to be time-consuming, and having a deep architecture only aggravates the issue. This process consists mostly of matrix operations, among which matrix multiplication is the bottleneck. Several…

机器学习 · 计算机科学 2025-06-17 Sana Ebrahimi , Rishi Advani , Abolfazl Asudeh

Deep neural networks implement a sequence of layer-by-layer operations that are each relatively easy to understand, but the resulting overall computation is generally difficult to understand. We consider a simple hypothesis for interpreting…

机器学习 · 计算机科学 2022-11-29 Richard D. Lange , Devin Kwok , Jordan Matelsky , Xinyue Wang , David S. Rolnick , Konrad P. Kording

Deep convolutional neural networks contain tens of millions of parameters, making them impossible to work efficiently on embedded devices. We propose iterative approach of applying low-rank approximation to compress deep convolutional…

计算机视觉与模式识别 · 计算机科学 2019-11-18 Maksym Kholiavchenko

Deep convolutional neural networks trained on large datsets have emerged as an intriguing alternative for compressing images and solving inverse problems such as denoising and compressive sensing. However, it has only recently been realized…

机器学习 · 计算机科学 2019-07-09 Reinhard Heckel

Neural networks are among the state-of-the-art techniques for language modeling. Existing neural language models typically map discrete words to distributed, dense vector representations. After information processing of the preceding…

计算与语言 · 计算机科学 2016-10-14 Yunchuan Chen , Lili Mou , Yan Xu , Ge Li , Zhi Jin

Many machine learning applications use latent variable models to explain structure in data, whereby visible variables (= coordinates of the given datapoint) are explained as a probabilistic function of some hidden variables. Finding…

机器学习 · 计算机科学 2016-12-30 Sanjeev Arora , Rong Ge , Tengyu Ma , Andrej Risteski

In all but the most trivial optimization problems, the structure of the solutions exhibit complex interdependencies between the input parameters. Decades of research with stochastic search techniques has shown the benefit of explicitly…

神经与进化计算 · 计算机科学 2017-03-23 Shumeet Baluja

Despite the remarkable success of deep learning in pattern recognition, deep network models face the problem of training a large number of parameters. In this paper, we propose and evaluate a novel multi-path wavelet neural network…

计算机视觉与模式识别 · 计算机科学 2019-08-27 D. D. N. De Silva , H. W. M. K. Vithanage , K. S. D. Fernando , I. T. S. Piyatilake

This work studies the problem of high-dimensional data (referred to as tensors) completion from partially observed samplings. We consider that a tensor is a superposition of multiple low-rank components. In particular, each component can be…

计算机视觉与模式识别 · 计算机科学 2021-09-22 Chang Nie , Huan Wang , Zhihui Lai

Deploying deep Convolutional Neural Networks (CNNs) is impacted by their memory footprint and speed requirements, which mainly come from convolution. Widely-used convolution algorithms, im2col and MEC, produce a lowered matrix from an…

计算机视觉与模式识别 · 计算机科学 2021-04-20 Hossam Amer , Ahmed H. Salamah , Ahmad Sajedi , En-hui Yang

Datasets such as images, text, or movies are embedded in high-dimensional spaces. However, in important cases such as images of objects, the statistical structure in the data constrains samples to a manifold of dramatically lower…

机器学习 · 计算机科学 2019-10-29 Stefano Recanatesi , Matthew Farrell , Madhu Advani , Timothy Moore , Guillaume Lajoie , Eric Shea-Brown

Deep convolutional neural networks (CNN) has become the most promising method for object recognition, repeatedly demonstrating record breaking results for image classification and object detection in recent years. However, a very deep CNN…

计算机视觉与模式识别 · 计算机科学 2014-12-22 Yunchao Gong , Liu Liu , Ming Yang , Lubomir Bourdev

Tensor train (TT) decomposition is a powerful representation for high-order tensors, which has been successfully applied to various machine learning tasks in recent years. However, since the tensor product is not commutative, permutation of…

数值分析 · 计算机科学 2017-05-31 Qibin Zhao , Masashi Sugiyama , Andrzej Cichocki

A deep neural network (DNN) with piecewise linear activations can partition the input space into numerous small linear regions, where different linear functions are fitted. It is believed that the number of these regions represents the…

机器学习 · 计算机科学 2020-04-30 Xiao Zhang , Dongrui Wu

Neural network compression empowers the effective yet unwieldy deep convolutional neural networks (CNN) to be deployed in resource-constrained scenarios. Most state-of-the-art approaches prune the model in filter-level according to the…

计算机视觉与模式识别 · 计算机科学 2019-06-26 Wenxiao Wang , Cong Fu , Jishun Guo , Deng Cai , Xiaofei He

Deep neural networks have demonstrated state-of-the-art performance for feature-based image matching through the advent of new large and diverse datasets. However, there has been little work on evaluating the computational cost, model size,…

计算机视觉与模式识别 · 计算机科学 2021-02-08 Roy Miles , Krystian Mikolajczyk

The groundbreaking performance of deep neural networks (NNs) promoted a surge of interest in providing a mathematical basis to deep learning theory. Low-rank tensor decompositions are specially befitting for this task due to their close…

机器学习 · 计算机科学 2025-12-18 Ricardo Borsoi , Konstantin Usevich , Marianne Clausel

This paper proposes a deep Convolutional Neural Network(CNN) with strong generalization ability for structural topology optimization. The architecture of the neural network is made up of encoding and decoding parts, which provide down- and…

机器学习 · 计算机科学 2020-04-01 Yiquan Zhang , Bo Peng , Xiaoyi Zhou , Cheng Xiang , Dalei Wang

In this paper, we consider the design of model predictive control (MPC) algorithms based on deep operator neural networks (DeepONets). These neural networks are capable of accurately approximating real and complex valued solutions of…

最优化与控制 · 数学 2025-05-26 Thomas Oliver de Jong , Khemraj Shukla , Mircea Lazar

We investigate deep morphological neural networks (DMNNs). We demonstrate that despite their inherent non-linearity, "linear" activations are essential for DMNNs. To preserve their inherent sparsity, we propose architectures that constraint…

机器学习 · 计算机科学 2025-12-24 Konstantinos Fotopoulos , Petros Maragos