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This paper is about searching the combinatorial space of contingency tables during the inner loop of a nonlinear statistical optimization. Examples of this operation in various data analytic communities include searching for nonlinear…

Artificial Intelligence · Computer Science 2013-01-07 Andrew Moore , Jeff Schneider

This paper studies a multi-armed bandit (MAB) version of the range-searching problem. In its basic form, range searching considers as input a set of points (on the real line) and a collection of (real) intervals. Here, with each specified…

Machine Learning · Computer Science 2021-05-05 Siddharth Barman , Ramakrishnan Krishnamurthy , Saladi Rahul

Reduced-rank linear discriminant analysis (RRLDA) is a foundational method of dimension reduction for classification that has been useful in a wide range of applications. The goal is to identify an optimal subspace to project the…

Computation · Statistics 2026-02-12 Jocelyn T. Chi

In container terminal yards, the Container Rehandling Problem (CRP) involves rearranging containers between stacks under specific operational rules, and it is a pivotal optimization challenge in intelligent container scheduling systems.…

Artificial Intelligence · Computer Science 2025-04-22 Ruoqi Wang , Jiawei Li

The adaptive rejection sampling (ARS) algorithm is a universal random generator for drawing samples efficiently from a univariate log-concave target probability density function (pdf). ARS generates independent samples from the target via…

Computation · Statistics 2017-10-10 L. Martino , F. Louzada

This paper presents the first convergence result for random search algorithms to a subset of the Pareto set of given maximum size k with bounds on the approximation quality. The core of the algorithm is a new selection criterion based on a…

Optimization and Control · Mathematics 2011-11-10 Marco Laumanns

Learning-to-Rank (LTR) is a supervised machine learning approach that constructs models specifically designed to order a set of items or documents based on their relevance or importance to a given query or context. Despite significant…

Information Retrieval · Computer Science 2026-04-17 Camilo Gomez , Pengyang Wang , Yanjie Fu

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

Recent advances in Retrieval-Augmented Generation (RAG) have revolutionized knowledge-intensive tasks, yet traditional RAG methods struggle when the search space is unknown or when documents are semi-structured or structured. We introduce a…

Information Retrieval · Computer Science 2026-03-25 Manie Tadayon , Mayank Gupta

Replicability is a fundamental challenge in reinforcement learning (RL), as RL algorithms are empirically observed to be unstable and sensitive to variations in training conditions. To formally address this issue, we study \emph{list…

Machine Learning · Computer Science 2025-12-02 Bohan Zhang , Michael Chen , A. Pavan , N. V. Vinodchandran , Lin F. Yang , Ruosong Wang

Owing to their unprecedented comprehension capabilities, large language models (LLMs) have become indispensable components of modern web search engines. From a technical perspective, this integration represents retrieval-augmented…

Information Retrieval · Computer Science 2026-02-10 Xingyuan Zeng , Zuohan Wu , Yue Wang , Chen Zhang , Quanming Yao , Libin Zheng , Jian Yin

Randomized linear algebra (RLA) algorithms are a modern class of numerical linear algebra techniques that play an essential role in scientific computing and machine learning, with broad and growing adoption. However, their discovery remains…

Machine Learning · Computer Science 2026-05-19 Jinglong Xiong , Xiaotian Liu , Ruoxin Wang , Zihang Liu , Yefan Zhou , Yujun Yan , Yaoqing Yang

Retrieval-augmented Generation (RAG) extends large language models (LLMs) with external knowledge but faces key challenges: restricted effective context length and redundancy in retrieved documents. Pure compression-based approaches reduce…

Computation and Language · Computer Science 2025-07-09 Yiqiao Jin , Kartik Sharma , Vineeth Rakesh , Yingtong Dou , Menghai Pan , Mahashweta Das , Srijan Kumar

Retrieval-augmented generation (RAG) enhances large language models with external knowledge, and tree-based RAG organizes documents into hierarchical indexes to support queries at multiple granularities. However, existing Tree-RAG methods…

Machine Learning · Computer Science 2026-05-04 Ziwen Zhao , Menglin Yang

Search systems often employ a re-ranking pipeline, wherein documents (or passages) from an initial pool of candidates are assigned new ranking scores. The process enables the use of highly-effective but expensive scoring functions that are…

Information Retrieval · Computer Science 2022-08-19 Sean MacAvaney , Nicola Tonellotto , Craig Macdonald

High-dimensional classification has become an increasingly important problem. In this paper we propose a "Multivariate Adaptive Stochastic Search" (MASS) approach which first reduces the dimension of the data space and then applies a…

Applications · Statistics 2010-10-08 Tian Siva Tian , Gareth M. James , Rand R. Wilcox

We propose Referral-Augmented Retrieval (RAR), a simple technique that concatenates document indices with referrals, i.e. text from other documents that cite or link to the given document, to provide significant performance gains for…

Computation and Language · Computer Science 2023-05-25 Michael Tang , Shunyu Yao , John Yang , Karthik Narasimhan

State-of-the-art (SOTA) semi-supervised learning techniques, such as FixMatch and it's variants, have demonstrated impressive performance in classification tasks. However, these methods are not directly applicable to regression tasks. In…

Machine Learning · Computer Science 2024-10-30 Pin-Yen Huang , Szu-Wei Fu , Yu Tsao

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

In our data world, a host of not necessarily trusted controllers gather data on individual subjects. To preserve her privacy and, more generally, her informational self-determination, the individual has to be empowered by giving her agency…

Cryptography and Security · Computer Science 2020-12-22 Josep Domingo-Ferrer , Jordi Soria-Comas