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Covariance matrices are among the most difficult pieces of end-to-end cosmological analyses. In principle, for two-point functions, each component involves a four-point function, and the resulting covariance often has hundreds of thousands…

宇宙学与河外天体物理 · 物理学 2023-04-20 Tassia Ferreira , Tianqing Zhang , Nianyi Chen , Scott Dodelson

We propose a method for estimating a covariance matrix that can be represented as a sum of a low-rank matrix and a diagonal matrix. The proposed method compresses high-dimensional data, computes the sample covariance in the compressed…

统计方法学 · 统计学 2017-04-04 Gautam Sabnis , Debdeep Pati , Anirban Bhattacharya

The Earth mover's distance (EMD) is a useful metric for image recognition and classification, but its usual implementations are not differentiable or too slow to be used as a loss function for training other algorithms via gradient descent.…

Image instance retrieval is the problem of retrieving images from a database which contain the same object. Convolutional Neural Network (CNN) based descriptors are becoming the dominant approach for generating {\it global image…

计算机视觉与模式识别 · 计算机科学 2017-01-19 Vijay Chandrasekhar , Jie Lin , Qianli Liao , Olivier Morère , Antoine Veillard , Lingyu Duan , Tomaso Poggio

This paper studies the problem of estimating the covariance of a collection of vectors using only highly compressed measurements of each vector. An estimator based on back-projections of these compressive samples is proposed and analyzed. A…

机器学习 · 统计学 2019-01-16 Martin Azizyan , Akshay Krishnamurthy , Aarti Singh

Deep neural networks have achieved strong performance in image classification tasks due to their ability to learn complex patterns from high-dimensional data. However, their large computational and memory requirements often limit deployment…

计算机视觉与模式识别 · 计算机科学 2026-03-06 Sai Shi

This paper investigates the problem of image segmentation using superpixels. We propose two approaches to enhance the discriminative ability of the superpixel's covariance descriptors. In the first one, we employ the Log-Euclidean distance…

计算机视觉与模式识别 · 计算机科学 2016-05-19 Xianbin Gu , Jeremiah D. Deng , Martin K. Purvis

Covariance matrices are important tools for obtaining reliable parameter constraints. Advancements in cosmological surveys lead to larger data vectors and, consequently, increasingly complex covariance matrices, whose number of elements…

宇宙学与河外天体物理 · 物理学 2022-05-31 Tassia Ferreira , Valerio Marra

In a distributed information application an encoder compresses an arbitrary vector while a similar reference vector is available to the decoder as side information. For the Hamming-distance similarity measure, and when guaranteed perfect…

信息论 · 计算机科学 2020-09-08 Yuval Cassuto , Jacob Ziv

Future large scale cosmological surveys will provide huge data sets whose analysis requires efficient data compression. Calculating accurate covariances is extremely challenging with increasing number of statistics used. Here we introduce a…

宇宙学与河外天体物理 · 物理学 2015-06-03 Marika Asgari , Peter Schneider

We explore linear and non-linear dimensionality reduction techniques for statistical inference of parameters in cosmology. Given the importance of compressing the increasingly complex data vectors used in cosmology, we address questions…

宇宙学与河外天体物理 · 物理学 2025-02-12 Minsu Park , Marco Gatti , Bhuvnesh Jain

The application of standard sufficient dimension reduction methods for reducing the dimension space of predictors without losing regression information requires inverting the covariance matrix of the predictors. This has posed a number of…

统计方法学 · 统计学 2019-10-01 Kabir Opeyemi Olorede , Waheed Babatunde Yahya

Sparsity in the eigenvectors of signal covariance matrices is exploited in this paper for compression and denoising. Dimensionality reduction (DR) and quantization modules present in many practical compression schemes such as transform…

应用统计 · 统计学 2015-06-03 Ioannis D. Schizas , Georgios B. Giannakis

Real-world data typically contain repeated and periodic patterns. This suggests that they can be effectively represented and compressed using only a few coefficients of an appropriate basis (e.g., Fourier, Wavelets, etc.). However, distance…

机器学习 · 统计学 2014-05-26 Michail Vlachos , Nikolaos Freris , Anastasios Kyrillidis

Storage systems often rely on multiple copies of the same compressed data, enabling recovery in case of binary data errors, of course, at the expense of a higher storage cost. In this paper we show that a wiser method of duplication entails…

多媒体 · 计算机科学 2019-02-08 Yehuda Dar , Alfred M. Bruckstein

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

Compressing large neural networks is an important step for their deployment in resource-constrained computational platforms. In this context, vector quantization is an appealing framework that expresses multiple parameters using a single…

计算机视觉与模式识别 · 计算机科学 2021-04-13 Julieta Martinez , Jashan Shewakramani , Ting Wei Liu , Ioan Andrei Bârsan , Wenyuan Zeng , Raquel Urtasun

A new line of research uses compression methods to measure the similarity between signals. Two signals are considered similar if one can be compressed significantly when the information of the other is known. The existing compression-based…

计算机视觉与模式识别 · 计算机科学 2019-09-30 Tanaya Guha , Rabab K. Ward

Compression is a standard procedure for making convolutional neural networks (CNNs) adhere to some specific computing resource constraints. However, searching for a compressed architecture typically involves a series of time-consuming…

图像与视频处理 · 电气工程与系统科学 2021-07-08 Suraj Mishra , Danny Z. Chen , X. Sharon Hu

This paper presents an autoencoder-based neural network architecture to compress histopathological images while retaining the denser and more meaningful representation of the original images. Current research into improving compression…

图像与视频处理 · 电气工程与系统科学 2023-05-15 Agnes Barsi , Suvendu Chandan Nayak , Sasmita Parida , Raj Mani Shukla
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