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State-of-the-art methods for Convolutional Sparse Coding usually employ Fourier-domain solvers in order to speed up the convolution operators. However, this approach is not without shortcomings. For example, Fourier-domain representations…

Image and Video Processing · Electrical Eng. & Systems 2019-09-04 Jinhui Xiong , Peter Richtárik , Wolfgang Heidrich

Sparsity-based models and techniques have been exploited in many signal processing and imaging applications. Data-driven methods based on dictionary and sparsifying transform learning enable learning rich image features from data, and can…

Machine Learning · Computer Science 2019-09-25 Saiprasad Ravishankar , Anna Ma , Deanna Needell

Dense embedding models are commonly deployed in commercial search engines, wherein all the document vectors are pre-computed, and near-neighbor search (NNS) is performed with the query vector to find relevant documents. However, the…

Machine Learning · Computer Science 2020-09-01 Tharun Medini , Beidi Chen , Anshumali Shrivastava

This paper introduces a new multivariate convolutional sparse coding based on tensor algebra with a general model enforcing both element-wise sparsity and low-rankness of the activations tensors. By using the CP decomposition, this model…

Machine Learning · Statistics 2019-08-12 Pierre Humbert , Julien Audiffren , Laurent Oudre , Nicolas Vayatis

The big data era is swamping areas including data analysis, machine/deep learning, signal processing, statistics, scientific computing, and cloud computing. The multidimensional feature and huge volume of big data put urgent requirements to…

Numerical Analysis · Computer Science 2017-05-05 Xiao-Yang Liu , Xiaodong Wang

We describe a method for fast approximation of sparse coding. The input space is subdivided by a binary decision tree, and we simultaneously learn a dictionary and assignment of allowed dictionary elements for each leaf of the tree. We…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Arthur Szlam , Karol Gregor , Yann LeCun

Sparse coding aims to model data vectors as sparse linear combinations of basis elements, but a majority of related studies are restricted to continuous data without spatial or temporal structure. A new model-based sparse coding (MSC)…

Methodology · Statistics 2021-08-24 Xin Xing , Rui Xie , Wenxuan Zhong

Sparse coding algorithm is an learning algorithm mainly for unsupervised feature for finding succinct, a little above high - level Representation of inputs, and it has successfully given a way for Deep learning. Our objective is to use High…

Machine Learning · Computer Science 2014-04-08 R. Vidya , Dr. G. M. Nasira , R. P. Jaia Priyankka

This letter proposes a dictionary learning algorithm for blind one bit compressed sensing. In the blind one bit compressed sensing framework, the original signal to be reconstructed from one bit linear random measurements is sparse in an…

Machine Learning · Statistics 2016-01-20 Hadi Zayyani , Mehdi Korki , Farrokh Marvasti

Many real-world datasets are represented as tensors, i.e., multi-dimensional arrays of numerical values. Storing them without compression often requires substantial space, which grows exponentially with the order. While many tensor…

Machine Learning · Computer Science 2023-09-21 Taehyung Kwon , Jihoon Ko , Jinhong Jung , Kijung Shin

In this paper, we present a novel cross-consistency based semi-supervised approach for semantic segmentation. Consistency training has proven to be a powerful semi-supervised learning framework for leveraging unlabeled data under the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-11 Yassine Ouali , Céline Hudelot , Myriam Tami

Sparse representations with learned dictionaries have been successful in several image analysis applications. In this paper, we propose and analyze the framework of ensemble sparse models, and demonstrate their utility in image restoration…

Computer Vision and Pattern Recognition · Computer Science 2013-02-28 Karthikeyan Natesan Ramamurthy , Jayaraman J. Thiagarajan , Prasanna Sattigeri , Andreas Spanias

Recent work has demonstrated that using a carefully designed sensing matrix rather than a random one, can improve the performance of compressed sensing. In particular, a well-designed sensing matrix can reduce the coherence between the…

Information Theory · Computer Science 2010-09-09 Kevin Rosenblum , Lihi Zelnik-Manor , Yonina C. Eldar

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

Machine Learning · Statistics 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu

Sparse coding consists in representing signals as sparse linear combinations of atoms selected from a dictionary. We consider an extension of this framework where the atoms are further assumed to be embedded in a tree. This is achieved…

Machine Learning · Statistics 2011-08-18 Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski , Francis Bach

In sparse coding, we attempt to extract features of input vectors, assuming that the data is inherently structured as a sparse superposition of basic building blocks. Similarly, neural networks perform a given task by learning features of…

Machine Learning · Computer Science 2022-02-16 Deborah Pereg , Israel Cohen , Anthony A. Vassiliou

Tensor programs often need to process large tensors (vectors, matrices, or higher order tensors) that require a specialized storage format for their memory layout. Several such layouts have been proposed in the literature, such as the…

Databases · Computer Science 2022-10-13 Maximilian Schleich , Amir Shaikhha , Dan Suciu

The problem of partitioning a large and sparse tensor is considered, where the tensor consists of a sequence of adjacency matrices. Theory is developed that is a generalization of spectral graph partitioning. A best rank-$(2,2,\lambda)$…

Numerical Analysis · Mathematics 2020-12-17 Lars Eldén , Maryam Dehghan

In this paper, we define a semi-tensor product for third-order tensors. Based on this definition, we present a new type of tensor decomposition strategy and give the specific algorithm. This decomposition strategy actually generalizes the…

Numerical Analysis · Mathematics 2023-01-18 Zhuo-Ran Chen , Seak-Weng Vong , Ze-Jia Xie

We introduce sub-sentence encoder, a contrastively-learned contextual embedding model for fine-grained semantic representation of text. In contrast to the standard practice with sentence embeddings, where the meaning of an entire sequence…

Computation and Language · Computer Science 2023-11-09 Sihao Chen , Hongming Zhang , Tong Chen , Ben Zhou , Wenhao Yu , Dian Yu , Baolin Peng , Hongwei Wang , Dan Roth , Dong Yu
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