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Tensor methods have emerged as a powerful paradigm for consistent learning of many latent variable models such as topic models, independent component analysis and dictionary learning. Model parameters are estimated via CP decomposition of…

Machine Learning · Computer Science 2015-06-22 Furong Huang , Animashree Anandkumar

Deformable part models (DPMs) and convolutional neural networks (CNNs) are two widely used tools for visual recognition. They are typically viewed as distinct approaches: DPMs are graphical models (Markov random fields), while CNNs are…

Computer Vision and Pattern Recognition · Computer Science 2014-10-02 Ross Girshick , Forrest Iandola , Trevor Darrell , Jitendra Malik

Dynamic mode decomposition (DMD) is a recently developed tool for the analysis of the behavior of complex dynamical systems. In this paper, we will propose an extension of DMD that exploits low-rank tensor decompositions of potentially…

Numerical Analysis · Mathematics 2019-08-14 Stefan Klus , Patrick Gelß , Sebastian Peitz , Christof Schütte

It is well known that multiplication operations in convolutional layers of common CNNs consume a lot of time during inference stage. In this article we present a flexible method to decrease both computational complexity of convolutional…

Machine Learning · Computer Science 2018-10-23 D. Babin , I. Mazurenko , D. Parkhomenko , A. Voloshko

Deformable Parts Models and Convolutional Networks each have achieved notable performance in object detection. Yet these two approaches find their strengths in complementary areas: DPMs are well-versed in object composition, modeling…

Computer Vision and Pattern Recognition · Computer Science 2014-11-20 Li Wan , David Eigen , Rob Fergus

This paper presents a programmable, energy-efficient and real-time object detection accelerator using deformable parts models (DPM), with 2x higher accuracy than traditional rigid body models. With 8 deformable parts detection, three…

Computer Vision and Pattern Recognition · Computer Science 2016-08-01 Amr Suleiman , Zhengdong Zhang , Vivienne Sze

Most state of the art deep neural networks are overparameterized and exhibit a high computational cost. A straightforward approach to this problem is to replace convolutional kernels with its low-rank tensor approximations, whereas the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-13 Anh-Huy Phan , Konstantin Sobolev , Konstantin Sozykin , Dmitry Ermilov , Julia Gusak , Petr Tichavsky , Valeriy Glukhov , Ivan Oseledets , Andrzej Cichocki

Dynamic mode decomposition (DMD) has become a powerful data-driven method for analyzing the spatiotemporal dynamics of complex, high-dimensional systems. However, conventional DMD methods are limited to matrix-based formulations, which…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Ziqin He , Mengqi Hu , Yifei Lou , Can Chen

Feature extraction for tensor data serves as an important step in many tasks such as anomaly detection, process monitoring, image classification, and quality control. Although many methods have been proposed for tensor feature extraction,…

Machine Learning · Computer Science 2021-06-01 Yinan Wang , Weihong "Grace" Guo , Xiaowei Yue

This paper presents an active approach for part-based object detection, which optimizes the order of part filter evaluations and the time at which to stop and make a prediction. Statistics, describing the part responses, are learned from…

Computer Vision and Pattern Recognition · Computer Science 2014-04-03 Menglong Zhu , Nikolay Atanasov , George J. Pappas , Kostas Daniilidis

We propose a simple two-step approach for speeding up convolution layers within large convolutional neural networks based on tensor decomposition and discriminative fine-tuning. Given a layer, we use non-linear least squares to compute a…

Computer Vision and Pattern Recognition · Computer Science 2015-04-27 Vadim Lebedev , Yaroslav Ganin , Maksim Rakhuba , Ivan Oseledets , Victor Lempitsky

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…

Machine Learning · Computer Science 2023-07-25 Xingyi Liu , Keshab K. Parhi

Tucker decomposition is one of the SOTA CNN model compression techniques. However, unlike the FLOPs reduction, we observe very limited inference time reduction with Tucker-compressed models using existing GPU software such as cuDNN. To this…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-06 Lizhi Xiang , Miao Yin , Chengming Zhang , Aravind Sukumaran-Rajam , P. Sadayappan , Bo Yuan , Dingwen Tao

Tensor decomposition is a fundamental method used in various areas to deal with high-dimensional data. \emph{Tensor power method} (TPM) is one of the widely-used techniques in the decomposition of tensors. This paper presents a novel tensor…

Machine Learning · Computer Science 2023-06-02 Yichuan Deng , Zhao Song , Junze Yin

We address the challenge of parameter-efficient fine-tuning (PEFT) for three-dimensional (3D) U-Net-based denoising diffusion probabilistic models (DDPMs) in magnetic resonance imaging (MRI) image generation. Despite its practical…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Binghua Li , Ziqing Chang , Tong Liang , Chao Li , Toshihisa Tanaka , Shigeki Aoki , Qibin Zhao , Zhe Sun

Tensor decomposition is a mathematically supported technique for data compression. It consists of applying some kind of a Low Rank Decomposition technique on the tensors or matrices in order to reduce the redundancy of the data. However, it…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Austin Wen , Yang Liu

Dynamic mode decomposition (DMD) is a data-driven method for estimating the dynamics of a discrete dynamical system. This paper proposes a tensor-based approach to DMD for applications in which the states can be viewed as tensors.…

Numerical Analysis · Mathematics 2025-08-15 Arvind K. Saibaba , Misha E. Kilmer , Khalil Hall-Hooper , Fan Tian , Alex Mize

Convolutional neural networks show outstanding results in a variety of computer vision tasks. However, a neural network architecture design usually faces a trade-off between model performance and computational/memory complexity. For some…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Pavel Kaloshin

Dimensionality reduction for high-order tensors is a challenging problem. In conventional approaches, higher order tensors are `vectorized` via Tucker decomposition to obtain lower order tensors. This will destroy the inherent high-order…

Computer Vision and Pattern Recognition · Computer Science 2017-07-04 Fujiao Ju , Yanfeng Sun , Junbin Gao , Yongli Hu , Baocai Yin

Recent research in deep learning (DL) has investigated the use of the Fast Fourier Transform (FFT) to accelerate the computations involved in Convolutional Neural Networks (CNNs) by replacing spatial convolution with element-wise…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Eduardo Reis , Thangarajah Akilan , Mohammed Khalid
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