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In our "big data" age, the size and complexity of data is steadily increasing. Methods for dimension reduction are ever more popular and useful. Two distinct types of dimension reduction are "data-oblivious" methods such as random…

Statistics Theory · Mathematics 2021-03-30 Fan Yang , Sifan Liu , Edgar Dobriban , David P. Woodruff

The binary neural network, largely saving the storage and computation, serves as a promising technique for deploying deep models on resource-limited devices. However, the binarization inevitably causes severe information loss, and even…

Neural and Evolutionary Computing · Computer Science 2020-04-08 Haotong Qin , Ruihao Gong , Xianglong Liu , Xiao Bai , Jingkuan Song , Nicu Sebe

We introduce sparse random projection, an important dimension-reduction tool from machine learning, for the estimation of discrete-choice models with high-dimensional choice sets. Initially, high-dimensional data are compressed into a…

Machine Learning · Statistics 2016-04-21 Khai X. Chiong , Matthew Shum

High-dimensional data has become ubiquitous across the sciences but presents computational and statistical challenges. A common approach to addressing these challenges is through sparsity. In this paper, we introduce a new concept of…

Statistics Theory · Mathematics 2025-09-03 Ali Mohades , Johannes Lederer

In this paper, we address the problem of searching for semantically similar images from a large database. We present a compact coding approach, supervised quantization. Our approach simultaneously learns feature selection that linearly…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Xiaojuan Wang , Ting Zhang , Guo-Jun Q , Jinhui Tang , Jingdong Wang

The aim of this work is a systematic investigation of the possible parameters of quasi-perfect (QP) binary and ternary linear codes of small dimensions and preparing a complete classification of all such codes. First we give a list of…

Combinatorics · Mathematics 2016-11-18 Tsonka Baicheva , Iliya Bouyukliev , Stefan Dodunekov , Veerle Fack

We present a systematic approach for achieving fairness in a binary classification setting. While we focus on two well-known quantitative definitions of fairness, our approach encompasses many other previously studied definitions as special…

Machine Learning · Computer Science 2018-07-17 Alekh Agarwal , Alina Beygelzimer , Miroslav Dudík , John Langford , Hanna Wallach

In this work we suggest a statistical mechanics approach to the classification of high-dimensional data according to a binary label. We propose an algorithm whose aim is twofold: First it learns a classifier from a relatively small number…

Statistical Mechanics · Physics 2009-07-22 Andrea Pagnani , Francesca Tria , Martin Weigt

This paper proposes a generic formulation that significantly expedites the training and deployment of image classification models, particularly under the scenarios of many image categories and high feature dimensions. As a defining…

Computer Vision and Pattern Recognition · Computer Science 2016-03-15 Fumin Shen , Yadong Mu , Wei Liu , Yang Yang , Heng Tao Shen

Thinning is the removal of contour pixels/points of connected components in an image to produce their skeleton with retained connectivity and structural properties. The output requirements of a thinning procedure often vary with…

Computer Vision and Pattern Recognition · Computer Science 2017-11-20 Himanshu Jain , Archana Praveen Kumar

Compressed sensing (CS) is a sampling theory that allows reconstruction of sparse (or compressible) signals from an incomplete number of measurements, using of a sensing mechanism implemented by an appropriate projection matrix. The CS…

Computer Vision and Pattern Recognition · Computer Science 2017-08-29 Duc Minh Nguyen , Evaggelia Tsiligianni , Nikos Deligiannis

In sentiment classification, the enormous amount of textual data, its immense dimensionality, and inherent noise make it extremely difficult for machine learning classifiers to extract high-level and complex abstractions. In order to make…

Information Retrieval · Computer Science 2020-06-09 Aftab Anjum , Mazharul Islam , Lin Wang

Deep learning-based information processing consumes long time and requires huge computing resources, especially for dense prediction tasks which require an output for each pixel, like semantic segmentation and salient object detection.…

Machine Learning · Computer Science 2024-05-29 Xingyu Ding , Lianlei Shan , Guiqin Zhao , Meiqi Wu , Wenzhang Zhou , Wei Li

A simple and computationally efficient scheme for tree-structured vector quantization is presented. Unlike previous methods, its quantization error depends only on the intrinsic dimension of the data distribution, rather than the apparent…

Machine Learning · Statistics 2008-05-12 Sanjoy Dasgupta , Yoav Freund

In this paper, we develop a randomized algorithm and theory for learning a sparse model from large-scale and high-dimensional data, which is usually formulated as an empirical risk minimization problem with a sparsity-inducing regularizer.…

Machine Learning · Computer Science 2016-10-18 Lijun Zhang , Tianbao Yang , Rong Jin , Zhi-Hua Zhou

Quantization has been an effective technology in ANN (approximate nearest neighbour) search due to its high accuracy and fast search speed. To meet the requirement of different applications, there is always a trade-off between retrieval…

Computer Vision and Pattern Recognition · Computer Science 2020-12-08 Jingkuan Song , Xiaosu Zhu , Lianli Gao , Xin-Shun Xu , Wu Liu , Heng Tao Shen

In this paper we use ternary representation of numbers for compressing text data. We use a binary map for ternary digits and introduce a way to use the binary 11-pair, which has never been use for coding data before, and we futher use…

Cryptography and Security · Computer Science 2012-06-27 Udita N. Katugampola

Tensor factorization arises in many machine learning applications, such knowledge base modeling and parameter estimation in latent variable models. However, numerical methods for tensor factorization have not reached the level of maturity…

Machine Learning · Computer Science 2015-05-20 Volodymyr Kuleshov , Arun Tejasvi Chaganty , Percy Liang

Random Projection (RP) technique has been widely applied in many scenarios because it can reduce high-dimensional features into low-dimensional space within short time and meet the need of real-time analysis of massive data. There is an…

Machine Learning · Computer Science 2017-06-20 Haozhe Xie , Jie Li , Qiaosheng Zhang , Yadong Wang

Dimensionality reduction techniques play an essential role in data analytics, signal processing and machine learning. Dimensionality reduction is usually performed in a preprocessing stage that is separate from subsequent data analysis,…

Machine Learning · Computer Science 2016-12-21 Bo Yang , Xiao Fu , Nicholas D. Sidiropoulos