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This paper introduces a novel approach to approximating continuous functions over high-dimensional hypercubes by integrating matrix CUR decomposition with hyperinterpolation techniques. Traditional Fourier-based hyperinterpolation methods…

Numerical Analysis · Mathematics 2025-10-16 Maolin Che , Congpei An , Yimin Wei , Hong Yan

Bi-encoders and cross-encoders are widely used in many state-of-the-art retrieval pipelines. In this work we study the generalization ability of these two types of architectures on a wide range of parameter count on both in-domain and…

Information Retrieval · Computer Science 2022-12-13 Guilherme Rosa , Luiz Bonifacio , Vitor Jeronymo , Hugo Abonizio , Marzieh Fadaee , Roberto Lotufo , Rodrigo Nogueira

The k Nearest Neighbors (kNN) method has received much attention in the past decades, where some theoretical bounds on its performance were identified and where practical optimizations were proposed for making it work fairly well in high…

Machine Learning · Computer Science 2016-06-14 Aleksander Lodwich , Faisal Shafait , Thomas Breuel

Approximate K nearest neighbor (AKNN) search is a fundamental and challenging problem. We observe that in high-dimensional space, the time consumption of nearly all AKNN algorithms is dominated by that of the distance comparison operations…

Data Structures and Algorithms · Computer Science 2023-03-20 Jianyang Gao , Cheng Long

E-commerce information retrieval (IR) systems struggle to simultaneously achieve high accuracy in interpreting complex user queries and maintain efficient processing of vast product catalogs. The dual challenge lies in precisely matching…

Information Retrieval · Computer Science 2025-06-25 Shenbin Qian , Diptesh Kanojia , Samarth Agrawal , Hadeel Saadany , Swapnil Bhosale , Constantin Orasan , Zhe Wu

Neural Encoders are frequently used in the NLP domain to perform dense retrieval tasks, for instance, to generate the candidate documents for a given query in question-answering tasks. However, sparse annotation and label noise in the…

Machine Learning · Computer Science 2025-12-16 Arnab Sharma

Recommender systems play an important role in many scenarios where users are overwhelmed with too many choices to make. In this context, Collaborative Filtering (CF) arises by providing a simple and widely used approach for personalized…

Information Retrieval · Computer Science 2017-05-22 Gustavo R. Lima , Carlos E. Mello , Geraldo Zimbrao

A critical piece of the modern information retrieval puzzle is approximate nearest neighbor search. Its objective is to return a set of $k$ data points that are closest to a query point, with its accuracy measured by the proportion of exact…

Information Retrieval · Computer Science 2024-07-15 Thomas Vecchiato , Claudio Lucchese , Franco Maria Nardini , Sebastian Bruch

Retrieval approaches that score documents based on learned dense vectors (i.e., dense retrieval) rather than lexical signals (i.e., conventional retrieval) are increasingly popular. Their ability to identify related documents that do not…

Information Retrieval · Computer Science 2023-08-01 Hrishikesh Kulkarni , Sean MacAvaney , Nazli Goharian , Ophir Frieder

Retrieval augmented methods have shown promising results in various classification tasks. However, existing methods focus on retrieving extra context to enrich the input, which is noise sensitive and non-expandable. In this paper, following…

Computation and Language · Computer Science 2023-04-12 Xinnian Liang , Shuangzhi Wu , Hui Huang , Jiaqi Bai , Chao Bian , Zhoujun Li

Fast approximations to matrix multiplication have the potential to dramatically reduce the cost of neural network inference. Recent work on approximate matrix multiplication proposed to replace costly multiplications with table-lookups by…

Machine Learning · Computer Science 2022-07-14 Calvin McCarter , Nicholas Dronen

We propose a novel application of coded computing to the problem of the nearest neighbor estimation using MatDot Codes [Fahim. et.al. 2017], that are known to be optimal for matrix multiplication in terms of recovery threshold under storage…

Information Theory · Computer Science 2018-11-30 Utsav Sheth , Sanghamitra Dutta , Malhar Chaudhari , Haewon Jeong , Yaoqing Yang , Jukka Kohonen , Teemu Roos , Pulkit Grover

Embedding based models have been the state of the art in collaborative filtering for over a decade. Traditionally, the dot product or higher order equivalents have been used to combine two or more embeddings, e.g., most notably in matrix…

Information Retrieval · Computer Science 2020-06-03 Steffen Rendle , Walid Krichene , Li Zhang , John Anderson

In its most elementary form, compressed sensing studies the design of decoding algorithms to recover a sufficiently sparse vector or code from a lower dimensional linear measurement vector. Typically it is assumed that the decoder has…

Machine Learning · Computer Science 2021-07-20 Michael Murray , Jared Tanner

Existing methods for retrieving k-nearest neighbours suffer from the curse of dimensionality. We argue this is caused in part by inherent deficiencies of space partitioning, which is the underlying strategy used by most existing methods. We…

Data Structures and Algorithms · Computer Science 2017-04-07 Ke Li , Jitendra Malik

In machine learning, crowdsourcing is an economical way to label a large amount of data. However, the noise in the produced labels may deteriorate the accuracy of any classification method applied to the labelled data. We propose an…

Human-Computer Interaction · Computer Science 2022-03-03 Jiexin Duan , Xingye Qiao , Guang Cheng

This paper addresses the nearest neighbor search problem under inner product similarity and introduces a compact code-based approach. The idea is to approximate a vector using the composition of several elements selected from a source…

Computer Vision and Pattern Recognition · Computer Science 2014-06-23 Chao Du , Jingdong Wang

Semantic code search is the task of retrieving relevant code snippet given a natural language query. Different from typical information retrieval tasks, code search requires to bridge the semantic gap between the programming language and…

Computation and Language · Computer Science 2022-01-28 Chen Wu , Ming Yan

Dominant dual-encoder models enable efficient image-text retrieval but suffer from limited accuracy while the cross-encoder models offer higher accuracy at the expense of efficiency. Distilling cross-modality matching knowledge from…

Computer Vision and Pattern Recognition · Computer Science 2024-07-11 Yuxin Chen , Zongyang Ma , Ziqi Zhang , Zhongang Qi , Chunfeng Yuan , Bing Li , Junfu Pu , Ying Shan , Xiaojuan Qi , Weiming Hu

Nearest neighbor search aims to obtain the samples in the database with the smallest distances from them to the queries, which is a basic task in a range of fields, including computer vision and data mining. Hashing is one of the most…

Computer Vision and Pattern Recognition · Computer Science 2022-04-26 Xiao Luo , Haixin Wang , Daqing Wu , Chong Chen , Minghua Deng , Jianqiang Huang , Xian-Sheng Hua