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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…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

Thanks to their state-of-the-art performance, deep neural networks are increasingly used for object recognition. To achieve these results, they use millions of parameters to be trained. However, when targeting embedded applications the size…

Machine Learning · Computer Science 2016-03-21 Guillaume Soulié , Vincent Gripon , Maëlys Robert

Compression of convolutional neural network models has recently been dominated by pruning approaches. A class of previous works focuses solely on pruning the unimportant filters to achieve network compression. Another important direction is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-17 Tariq M. Khan , Syed S. Naqvi , Antonio Robles-Kelly , Erik Meijering

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…

Machine Learning · Computer Science 2020-11-12 Tianyi Chen , Bo Ji , Yixin Shi , Tianyu Ding , Biyi Fang , Sheng Yi , Xiao Tu

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…

Image and Video Processing · Electrical Eng. & Systems 2024-04-19 Tobias Weber , Jakob Dexl , David Rügamer , Michael Ingrisch

In the supervised learning domain, considering the recent prevalence of algorithms with high computational cost, the attention is steering towards simpler, lighter, and less computationally extensive training and inference approaches. In…

Machine Learning · Computer Science 2022-09-02 Antonello Rosato , Massimo Panella , Denis Kleyko

This paper introduces a novel method of Progressive Low Rank Decomposition (PLRD) tailored for the compression of large language models. Our approach leverages a pre-trained model, which is then incrementally decompressed to smaller sizes…

Computation and Language · Computer Science 2024-07-01 Habib Hajimolahoseini , Mohammad Hassanpour , Foozhan Ataiefard , Boxing Chen , Yang Liu

Approaches for compressing large-language models using low-rank decomposition have made strides, particularly with the introduction of activation and loss-aware SVD, which improves the trade-off between decomposition rank and downstream…

Machine Learning · Computer Science 2025-12-17 Sidhant Sundrani , Francesco Tudisco , Pasquale Minervini

This paper is concerned with the problem of low rank plus sparse matrix decomposition for big data. Conventional algorithms for matrix decomposition use the entire data to extract the low-rank and sparse components, and are based on…

Numerical Analysis · Computer Science 2017-03-17 Mostafa Rahmani , George Atia

Deep Neural Network (DNN) has gained unprecedented performance due to its automated feature extraction capability. This high order performance leads to significant incorporation of DNN models in different Internet of Things (IoT)…

Machine Learning · Computer Science 2020-10-09 Rahul Mishra , Hari Prabhat Gupta , Tanima Dutta

This work focus on how to stabilize and lossless model compression, aiming to reduce model complexity and enhance efficiency without sacrificing performance due to compression errors. A key challenge is effectively leveraging compression…

Computer Vision and Pattern Recognition · Computer Science 2025-12-24 Boyang Zhang , Daning Cheng , Yunquan Zhang , Fangming Liu , Wenguang Chen

Tensor decompositions, which represent an $N$-order tensor using approximately $N$ factors of much smaller dimensions, can significantly reduce the number of parameters. This is particularly beneficial for high-order tensors, as the number…

Machine Learning · Computer Science 2025-06-23 Zhen Qin , Michael B. Wakin , Zhihui Zhu

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…

Machine Learning · Computer Science 2025-12-18 Ricardo Borsoi , Konstantin Usevich , Marianne Clausel

In this work, we present randomized compression algorithms for flat rank-structured matrices with shared bases, termed uniform Block Low-Rank (BLR) matrices. Our main contribution is a technique called tagging, which improves upon the…

Numerical Analysis · Mathematics 2025-12-16 Katherine J. Pearce , Anna Yesypenko , James Levitt , Per-Gunnar Martinsson

Tensor methods have become a promising tool to solve high-dimensional problems in the big data era. By exploiting possible low-rank tensor factorization, many high-dimensional model-based or data-driven problems can be solved to facilitate…

Optimization and Control · Mathematics 2019-08-22 Chunfeng Cui , Cole Hawkins , Zheng Zhang

Unlike the matrix case, computing low-rank approximations of tensors is NP-hard and numerically ill-posed in general. Even the best rank-1 approximation of a tensor is NP-hard. In this paper, we use convex optimization to develop…

Statistics Theory · Mathematics 2016-09-14 Anil Aswani

Activation functions (AFs) are an important part of the design of neural networks (NNs), and their choice plays a predominant role in the performance of a NN. In this work, we are particularly interested in the estimation of flexible…

Machine Learning · Computer Science 2021-06-28 Yassine Zniyed , Konstantin Usevich , Sebastian Miron , David Brie

In this paper, we analyze two popular network compression techniques, i.e. filter pruning and low-rank decomposition, in a unified sense. By simply changing the way the sparsity regularization is enforced, filter pruning and low-rank…

Computer Vision and Pattern Recognition · Computer Science 2020-03-20 Yawei Li , Shuhang Gu , Christoph Mayer , Luc Van Gool , Radu Timofte

Robust optimization is becoming increasingly important in machine learning applications. In this paper, we study a unified framework of robust submodular optimization. We study this problem both from a minimization and maximization…

Machine Learning · Computer Science 2021-03-22 Rishabh Iyer

Large CNNs have delivered impressive performance in various computer vision applications. But the storage and computation requirements make it problematic for deploying these models on mobile devices. Recently, tensor decompositions have…

Machine Learning · Computer Science 2016-02-16 Cheng Tai , Tong Xiao , Yi Zhang , Xiaogang Wang , Weinan E
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