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Dimension reduction and data quantization are two important methods for reducing data complexity. In the paper, we study the methodology of first reducing data dimension by random projection and then quantizing the projections to ternary or…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Weizhi Lu , Mingrui Chen , Kai Guo , Weiyu Li

Modern approaches for fast retrieval of similar vectors on billion-scaled datasets rely on compressed-domain approaches such as binary sketches or product quantization. These methods minimize a certain loss, typically the mean squared error…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Kenza Amara , Matthijs Douze , Alexandre Sablayrolles , Hervé Jégou

Given a large dataset of binary codes and a binary query point, we address how to efficiently find $K$ codes in the dataset that yield the largest cosine similarities to the query. The straightforward answer to this problem is to compare…

Databases · Computer Science 2018-04-19 Sepehr Eghbali , Ladan Tahvildari

Successful applications of sparse models in computer vision and machine learning imply that in many real-world applications, high dimensional data is distributed in a union of low dimensional subspaces. Nevertheless, the underlying…

Computer Vision and Pattern Recognition · Computer Science 2014-04-22 Xiao Bian , Hamid Krim

This paper seeks to combine dictionary learning and hierarchical image representation in a principled way. To make dictionary atoms capturing additional information from extended receptive fields and attain improved descriptive capacity, we…

Computer Vision and Pattern Recognition · Computer Science 2019-11-11 Tong Zhang , Fatih Porikli

Embeddings provide compact representations of signals in order to perform efficient inference in a wide variety of tasks. In particular, random projections are common tools to construct Euclidean distance-preserving embeddings, while…

Data Structures and Algorithms · Computer Science 2019-09-05 Diego Valsesia , Sophie Marie Fosson , Chiara Ravazzi , Tiziano Bianchi , Enrico Magli

Recently, a class of algorithms combining classical fixed point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as $10^{108} \times…

Numerical Analysis · Mathematics 2025-04-28 Jonathan Weare , Robert J. Webber

Deep supervised hashing has emerged as an influential solution to large-scale semantic image retrieval problems in computer vision. In the light of recent progress, convolutional neural network based hashing methods typically seek pair-wise…

Computer Vision and Pattern Recognition · Computer Science 2018-03-13 Xuefei Zhe , Shifeng Chen , Hong Yan

Binary embeddings provide efficient and powerful ways to perform operations on large scale data. However binary embedding typically requires long codes in order to preserve the discriminative power of the input space. Thus binary coding…

Data Structures and Algorithms · Computer Science 2015-12-08 Felix X. Yu , Aditya Bhaskara , Sanjiv Kumar , Yunchao Gong , Shih-Fu Chang

In supervised binary hashing, one wants to learn a function that maps a high-dimensional feature vector to a vector of binary codes, for application to fast image retrieval. This typically results in a difficult optimization problem,…

Machine Learning · Computer Science 2016-02-08 Ramin Raziperchikolaei , Miguel Á. Carreira-Perpiñán

We introduce a binary embedding framework, called Proximity Preserving Code (PPC), which learns similarity and dissimilarity between data points to create a compact and affinity-preserving binary code. This code can be used to apply fast…

Machine Learning · Computer Science 2020-02-06 Inbal Lav , Shai Avidan , Yoram Singer , Yacov Hel-Or

Inspired by the robustness and efficiency of sparse representation in sparse coding based image restoration models, we investigate the sparsity of neurons in deep networks. Our method structurally enforces sparsity constraints upon hidden…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Yuchen Fan , Jiahui Yu , Yiqun Mei , Yulun Zhang , Yun Fu , Ding Liu , Thomas S. Huang

Hyperspectral images provide abundant spatial and spectral information that is very valuable for material detection in diverse areas of practical science. The high-dimensions of data lead to many processing challenges that can be addressed…

Computer Vision and Pattern Recognition · Computer Science 2020-05-19 Saeideh Ghanbari Azar , Saeed Meshgini , Tohid Yousefi Rezaii , Soosan Beheshti

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

A common task in inverse problems and imaging is finding a solution that is sparse, in the sense that most of its components vanish. In the framework of compressed sensing, general results guaranteeing exact recovery have been proven. In…

Numerical Analysis · Mathematics 2021-04-29 Monica Pragliola , Daniela Calvetti , Erkki Somersalo

We present a new computational approach to approximating a large, noisy data table by a low-rank matrix with sparse singular vectors. The approximation is obtained from thresholded subspace iterations that produce the singular vectors…

Methodology · Statistics 2011-12-13 Dan Yang , Zongming Ma , Andreas Buja

Blind image restoration is a non-convex problem which involves restoration of images from an unknown blur kernel. The factors affecting the performance of this restoration are how much prior information about an image and a blur kernel are…

Computer Vision and Pattern Recognition · Computer Science 2015-12-15 Chia-Chen Lee , Wen-Liang Hwang

Binary codes have been widely used in vision problems as a compact feature representation to achieve both space and time advantages. Various methods have been proposed to learn data-dependent hash functions which map a feature vector to a…

Computer Vision and Pattern Recognition · Computer Science 2014-10-22 Jie Feng , Wei Liu , Yan Wang

Many imaging science tasks can be modeled as a discrete linear inverse problem. Solving linear inverse problems is often challenging, with ill-conditioned operators and potentially non-unique solutions. Embedding prior knowledge, such as…

Numerical Analysis · Mathematics 2023-12-07 Elizabeth Newman , Jack Michael Solomon , Matthias Chung

Accurate land cover segmentation of spectral images is challenging and has drawn widespread attention in remote sensing due to its inherent complexity. Although significant efforts have been made for developing a variety of methods, most of…

Image and Video Processing · Electrical Eng. & Systems 2021-11-30 Carlos Hinojosa , Esteban Vera , Henry Arguello
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