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Graph search is one of the most successful algorithmic trends in near neighbor search. Several of the most popular and empirically successful algorithms are, at their core, a simple walk along a pruned near neighbor graph. Such algorithms…

数据结构与算法 · 计算机科学 2021-04-08 Benjamin Coleman , Santiago Segarra , Anshumali Shrivastava , Alex Smola

The problem of recovering the configuration of points from their partial pairwise distances, referred to as the Euclidean Distance Matrix Completion (EDMC) problem, arises in a broad range of applications, including sensor network…

最优化与控制 · 数学 2026-05-07 Chandler Smith , HanQin Cai , Abiy Tasissa

Approximate Nearest Neighbor Search (ANNS) is the task of finding the database vector that is closest to a given query vector. Graph-based ANNS is the family of methods with the best balance of accuracy and speed for million-scale datasets.…

信息检索 · 计算机科学 2023-11-01 Naoki Ono , Yusuke Matsui

Although recent deep learning methods, especially generative models, have shown good performance in fast magnetic resonance imaging, there is still much room for improvement in high-dimensional generation. Considering that internal…

计算机视觉与模式识别 · 计算机科学 2022-12-13 Wei Zhang , Zengwei Xiao , Hui Tao , Minghui Zhang , Xiaoling Xu , Qiegen Liu

The MNIST dataset of the handwritten digits is known as one of the commonly used datasets for machine learning and computer vision research. We aim to study a widely applicable classification problem and apply a simple yet efficient…

计算机视觉与模式识别 · 计算机科学 2019-03-13 Divas Grover , Behrad Toghi

Deep Learning (DL) methods can reconstruct highly accelerated magnetic resonance imaging (MRI) scans, but they rely on application-specific large training datasets and often generalize poorly to out-of-distribution data. Self-supervised…

图像与视频处理 · 电气工程与系统科学 2026-04-24 Hongze Yu , Jeffrey A. Fessler , Yun Jiang

We apply one of lazy learning methods named k-nearest neighbor algorithm (kNN) to estimate the photometric redshifts of quasars, based on various datasets from the Sloan Digital Sky Survey (SDSS), UKIRT Infrared Deep Sky Survey (UKIDSS) and…

天体物理仪器与方法 · 物理学 2017-03-22 Zhang Yanxia , Ma He , Peng Nanbo , Zhao Yongheng , Wu Xue-bing

Localizing a cloud of points from noisy measurements of a subset of pairwise distances has applications in various areas, such as sensor network localization and reconstruction of protein conformations from NMR measurements. In [1], Drineas…

信息论 · 计算机科学 2019-05-01 Huan Zhang , Yulong Liu , Hong Lei

As large language models (LLMs) continue to advance, retrieval-augmented generation (RAG) has become the key mechanism for expanding model knowledge and reducing hallucinations. Central to RAG is approximate nearest neighbor search (ANNS),…

硬件体系结构 · 计算机科学 2026-05-22 Cheng Zou , Shuo Yang , Chen Nie , Yu Zou , Yu He , Chao Jiang , Limin Xiao , Weifeng Zhang , Zhezhi He

Many learning-to-rank (LtR) algorithms focus on query-independent model, in which query and document do not lie in the same feature space, and the rankers rely on the feature ensemble about query-document pair instead of the similarity…

信息检索 · 计算机科学 2017-05-23 Yuxin Su , Irwin King , Michael Lyu

A $k$-nearest neighbor ($k$NN) query determines the $k$ nearest points, using distance metrics, from a specific location. An all $k$-nearest neighbor (A$k$NN) query constitutes a variation of a $k$NN query and retrieves the $k$ nearest…

While high-dimensional embedding vectors are being increasingly employed in various tasks like Retrieval-Augmented Generation and Recommendation Systems, popular dimensionality reduction (DR) methods such as PCA and UMAP have rarely been…

信息检索 · 计算机科学 2025-10-01 Han Zhang , Dongfang Zhao

Tensor-valued data arise naturally in multidimensional signal and imaging problems, such as biomedical imaging. When incorporated into generalized linear models (GLMs), naive vectorization can destroy their multi-way structure and lead to…

机器学习 · 统计学 2026-04-07 Xiao Liang , Shuang Li

Randomized SVD has become an extremely successful approach for efficiently computing a low-rank approximation of matrices. In particular the paper by Halko, Martinsson, and Tropp (SIREV 2011) contains extensive analysis, and has made it a…

数值分析 · 数学 2020-09-25 Yuji Nakatsukasa

We present a new perspective on graph-based methods for collaborative ranking for recommender systems. Unlike user-based or item-based methods that compute a weighted average of ratings given by the nearest neighbors, or low-rank…

机器学习 · 计算机科学 2016-02-17 Da Kuang , Zuoqiang Shi , Stanley Osher , Andrea Bertozzi

Augmenting a language model (LM) with $k$-nearest neighbors ($k$NN) retrieval on its training data alone can decrease its perplexity, though the underlying reasons for this remain elusive. In this work, we rule out one previously posited…

计算与语言 · 计算机科学 2024-04-03 Ting-Rui Chiang , Xinyan Velocity Yu , Joshua Robinson , Ollie Liu , Isabelle Lee , Dani Yogatama

Large Language Models (LLMs) have shown strong capabilities in document re-ranking, a key component in modern Information Retrieval (IR) systems. However, existing LLM-based approaches face notable limitations, including ranking…

信息检索 · 计算机科学 2025-10-03 Pinhuan Wang , Zhiqiu Xia , Chunhua Liao , Feiyi Wang , Hang Liu

Recursive neural networks (RNN) and their recently proposed extension recursive long short term memory networks (RLSTM) are models that compute representations for sentences, by recursively combining word embeddings according to an…

人工智能 · 计算机科学 2016-03-02 Phong Le , Willem Zuidema

Manifold learning methods are an invaluable tool in today's world of increasingly huge datasets. Manifold learning algorithms can discover a much lower-dimensional representation (embedding) of a high-dimensional dataset through non-linear…

机器学习 · 计算机科学 2021-08-24 Andrew Lensen , Bing Xue , Mengjie Zhang

We present a method for generating high-quality watertight manifold meshes from multi-view input images. Existing volumetric rendering methods are robust in optimization but tend to generate noisy meshes with poor topology. Differentiable…

计算机视觉与模式识别 · 计算机科学 2025-01-20 Xinyue Wei , Fanbo Xiang , Sai Bi , Anpei Chen , Kalyan Sunkavalli , Zexiang Xu , Hao Su