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We call matrix algorithms superfast if they use much fewer flops and memory cells than the input matrix has entries. Using such algorithms is indispensable for Big Data Mining and Analysis, where the input matrices are so immense that one…

Numerical Analysis · Mathematics 2025-01-17 Victor Y. Pan , John Svadlenka

In 2019, Anderson et al. proposed the concept of rankability, which refers to a dataset's inherent ability to be meaningfully ranked. In this article, we give an expository review of the linear ordering problem (LOP) and then use it to…

Optimization and Control · Mathematics 2021-04-14 Thomas R. Cameron , Sebastian Charmot , Jonad Pulaj

Retrieving the most similar objects in a large-scale database for a given query is a fundamental building block in many application domains, ranging from web searches, visual, cross media, and document retrievals. State-of-the-art…

Machine Learning · Computer Science 2018-03-15 Muge Li , Liangyue Li , Feiping Nie

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

Low Rank Approximation is among most fundamental subjects of numerical linear algebra having important applications to various areas of modern computing and %they range from machine learning theory and %neural networks to data mining and…

Numerical Analysis · Mathematics 2018-09-25 Victor Y. Pan , Qi Luan , John Svadlenka , Liang Zhao

We consider learning problems over training sets in which both, the number of training examples and the dimension of the feature vectors, are large. To solve these problems we propose the random parallel stochastic algorithm (RAPSA). We…

Machine Learning · Computer Science 2016-06-17 Aryan Mokhtari , Alec Koppel , Alejandro Ribeiro

The high-dimensional rank lasso (hdr lasso) model is an efficient approach to deal with high-dimensional data analysis. It was proposed as a tuning-free robust approach for the high-dimensional regression and was demonstrated to enjoy…

Optimization and Control · Mathematics 2024-04-19 Xiaoning Bai , Qingna Li

Random Reshuffling (RR) is an algorithm for minimizing finite-sum functions that utilizes iterative gradient descent steps in conjunction with data reshuffling. Often contrasted with its sibling Stochastic Gradient Descent (SGD), RR is…

Optimization and Control · Mathematics 2021-04-06 Konstantin Mishchenko , Ahmed Khaled , Peter Richtárik

Nearest neighbor search is a fundamental data structure problem with many applications in machine learning, computer vision, recommendation systems and other fields. Although the main objective of the data structure is to quickly report…

Data Structures and Algorithms · Computer Science 2025-02-20 Piyush Anand , Piotr Indyk , Ravishankar Krishnaswamy , Sepideh Mahabadi , Vikas C. Raykar , Kirankumar Shiragur , Haike Xu

Active Search has become an increasingly useful tool in information retrieval problems where the goal is to discover as many target elements as possible using only limited label queries. With the advent of big data, there is a growing…

Machine Learning · Statistics 2017-08-23 Sibi Venkatesan , James K. Miller , Jeff Schneider , Artur Dubrawski

A matrix algorithm runs superfast (aka at sublinear cost) if it involves much fewer flops and memory cells than an input matrix has entries. Big Data are frequently represented by matrices of immense sizes that cannot be handled directly…

Numerical Analysis · Mathematics 2025-11-11 Qi Luan , Victor Y. Pan

Ranking systems are the key components of modern Information Retrieval (IR) applications, such as search engines and recommender systems. Besides the ranking relevance to users, the exposure fairness to item providers has also been…

Information Retrieval · Computer Science 2023-08-22 Tao Yang , Zhichao Xu , Zhenduo Wang , Qingyao Ai

We consider the problem of computationally-efficient prediction from high dimensional and highly correlated predictors in challenging settings where accurate variable selection is effectively impossible. Direct application of penalization…

Statistics Theory · Mathematics 2017-12-08 Minerva Mukhopadhyay , David B. Dunson

Retrieval-Augmented Generation (RAG) enhances large language models (LLMs) by pulling in external material, document, code, manuals, from vast and ever-growing corpora, to effectively answer user queries. The effectiveness of RAG depends…

Information Retrieval · Computer Science 2025-11-20 Yifan Xu , Vipul Gupta , Rohit Aggarwal , Varsha Mahadevan , Bhaskar Krishnamachari

In this paper, we develop a new sequential regression modeling approach for data streams. Data streams are commonly found around us, e.g in a retail enterprise sales data is continuously collected every day. A demand forecasting model is an…

Machine Learning · Statistics 2017-01-11 Chitta Ranjan , Samaneh Ebrahimi , Kamran Paynabar

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

Data Structures and Algorithms · Computer Science 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

Given a large graph, how can we determine similarity between nodes in a fast and accurate way? Random walk with restart (RWR) is a popular measure for this purpose and has been exploited in numerous data mining applications including…

Social and Information Networks · Computer Science 2017-12-05 Minji Yoon , Jinhong Jung , U Kang

Although response-adaptive randomisation (RAR) has gained substantial attention in the literature, it still has limited use in clinical trials. Amongst other reasons, the implementation of RAR in real world trials raises important practical…

Applications · Statistics 2025-09-16 Rajenki Das , Nina Deliu , Mark Toshner , Sofía S Villar

Network management protocols often require timely and meaningful insight about per flow network traffic. This paper introduces Randomized Admission Policy (RAP) - a novel algorithm for the frequency and top-k estimation problems, which are…

Data Structures and Algorithms · Computer Science 2016-12-12 Ran Ben Basat , Gil Einziger , Roy Friedman , Yaron Kassner

We consider the problem of computationally-efficient prediction with high dimensional and highly correlated predictors when accurate variable selection is effectively impossible. Direct application of penalization or Bayesian methods…

Statistics Theory · Mathematics 2019-09-12 Minerva Mukhopadhyay , David B. Dunson
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