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Proximal methods are known to identify the underlying substructure of nonsmooth optimization problems. Even more, in many interesting situations, the output of a proximity operator comes with its structure at no additional cost, and…

Optimization and Control · Mathematics 2023-02-10 Gilles Bareilles , Franck Iutzeler , Jérôme Malick

Approximate nearest neighbor (ANN) search in high-dimensional spaces is a foundational component of many modern retrieval and recommendation systems. Currently, almost all algorithms follow an $\epsilon$-Recall-Bounded principle when…

Information Retrieval · Computer Science 2025-11-24 Liming Xiang , Jing Feng , Ziqi Yin , Zijian Li , Daihao Xue , Hongchao Qin , Ronghua Li , Guoren Wang

Approximate Nearest Neighbour (ANN) search is a fundamental problem in information retrieval, underpinning large-scale applications in computer vision, natural language processing, and cross-modal search. Hashing-based methods provide an…

Information Retrieval · Computer Science 2025-10-07 Sean Moran

Recent efforts in fine-tuning language models often rely on automatic data selection, commonly using Nearest Neighbors retrieval from large datasets. However, we theoretically show that this approach tends to select redundant data, limiting…

Machine Learning · Computer Science 2025-02-11 Jonas Hübotter , Sascha Bongni , Ido Hakimi , Andreas Krause

With the continuous popularity of deep learning and representation learning, fast vector search becomes a vital task in various ranking/retrieval based applications, say recommendation, ads ranking and question answering. Neural network…

Information Retrieval · Computer Science 2023-12-29 Weijie Zhao , Shulong Tan , Ping Li

Nearest neighbor search (NNS) aims to locate the points in high-dimensional space that is closest to the query point. The brute-force approach for finding the nearest neighbor becomes computationally infeasible when the number of points is…

Computer Vision and Pattern Recognition · Computer Science 2022-10-06 Deepak Gupta , Russell Loane , Soumya Gayen , Dina Demner-Fushman

This paper presents the concept of "model-based neural network"(MNN), which is inspired by the classic artificial neural network (ANN) but for different usages. Instead of being used as a data-driven classifier, a MNN serves as a modeling…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Yi Jiang , Tianyi Zhang , Wei Zhang

In label-noise learning, estimating the transition matrix has attracted more and more attention as the matrix plays an important role in building statistically consistent classifiers. However, it is very challenging to estimate the…

Machine Learning · Computer Science 2022-06-08 De Cheng , Tongliang Liu , Yixiong Ning , Nannan Wang , Bo Han , Gang Niu , Xinbo Gao , Masashi Sugiyama

Neighbor embeddings are a family of methods for visualizing complex high-dimensional datasets using $k$NN graphs. To find the low-dimensional embedding, these algorithms combine an attractive force between neighboring pairs of points with a…

Machine Learning · Computer Science 2024-06-06 Jan Niklas Böhm , Philipp Berens , Dmitry Kobak

In this paper, we present an experimental comparison of various graph-based approximate nearest neighbor (ANN) search algorithms deployed on edge devices for real-time nearest neighbor search applications, such as smart city infrastructure…

Data Structures and Algorithms · Computer Science 2024-11-22 Ali Ganbarov , Jicheng Yuan , Anh Le-Tuan , Manfred Hauswirth , Danh Le-Phuoc

Nearest neighbour search over dense vector collections has important applications in information retrieval, retrieval augmented generation (RAG), and content ranking. Performing efficient search over large vector collections is a well…

In order to avoid the curse of dimensionality, frequently encountered in Big Data analysis, there was a vast development in the field of linear and nonlinear dimension reduction techniques in recent years. These techniques (sometimes…

Graphics · Computer Science 2020-02-27 Barak Sober , David Levin

Nearest neighbors is a successful and long-standing technique for anomaly detection. Significant progress has been recently achieved by self-supervised deep methods (e.g. RotNet). Self-supervised features however typically under-perform…

Machine Learning · Computer Science 2020-02-25 Liron Bergman , Niv Cohen , Yedid Hoshen

K-Nearest Neighbors (KNN) search is a fundamental algorithm in artificial intelligence software with applications in robotics, and autonomous vehicles. These wide-ranging applications utilize KNN either directly for simple classification or…

Software Engineering · Computer Science 2021-06-08 Aryan Naim , Joseph Bowkett , Sisir Karumanchi , Peyman Tavallali , Brett Kennedy

We present Contrastive Neighborhood Alignment (CNA), a manifold learning approach to maintain the topology of learned features whereby data points that are mapped to nearby representations by the source (teacher) model are also mapped to…

Machine Learning · Computer Science 2022-01-07 Pengkai Zhu , Zhaowei Cai , Yuanjun Xiong , Zhuowen Tu , Luis Goncalves , Vijay Mahadevan , Stefano Soatto

Manifold learning is a hot research topic in the field of computer science and has many applications in the real world. A main drawback of manifold learning methods is, however, that there is no explicit mappings from the input data…

Computer Vision and Pattern Recognition · Computer Science 2010-01-18 Hong Qiao , Peng Zhang , Di Wang , Bo Zhang

Nearest neighbor (NN) algorithms have been extensively used for missing data problems in recommender systems and sequential decision-making systems. Prior theoretical analysis has established favorable guarantees for NN when the underlying…

Machine Learning · Statistics 2025-09-03 Tathagata Sadhukhan , Manit Paul , Raaz Dwivedi

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

Relative Nearest Neighbor Descent (RNN-Descent) is a state-of-the-art algorithm for constructing sparse approximate nearest neighbor (ANN) graphs by combining the iterative refinement of NN-Descent with the edge-pruning rules of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-06 Xiang Li , Qiong Chang , Yun Li , Jun Miyazaki

In this paper, we introduce a neighbor embedding framework for manifold alignment. We demonstrate the efficacy of the framework using a manifold-aligned version of the uniform manifold approximation and projection algorithm. We show that…

Machine Learning · Computer Science 2022-05-24 Mohammad Tariqul Islam , Jason W. Fleischer