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This work aims to address an open problem in data valuation literature concerning the efficient computation of Data Shapley for weighted $K$ nearest neighbor algorithm (WKNN-Shapley). By considering the accuracy of hard-label KNN with…

Data Structures and Algorithms · Computer Science 2024-01-23 Jiachen T. Wang , Prateek Mittal , Ruoxi Jia

The k-nearest neighbors (k-NN) is a basic machine learning (ML) algorithm, and several quantum versions of it, employing different distance metrics, have been presented in the last few years. Although the Euclidean distance is one of the…

Emerging Technologies · Computer Science 2024-04-25 Enrico Zardini , Enrico Blanzieri , Davide Pastorello

In the supervised learning domain, considering the recent prevalence of algorithms with high computational cost, the attention is steering towards simpler, lighter, and less computationally extensive training and inference approaches. In…

Machine Learning · Computer Science 2022-09-02 Antonello Rosato , Massimo Panella , Denis Kleyko

Non-local methods exploiting the self-similarity of natural signals have been well studied, for example in image analysis and restoration. Existing approaches, however, rely on k-nearest neighbors (KNN) matching in a fixed feature space.…

Computer Vision and Pattern Recognition · Computer Science 2018-10-31 Tobias Plötz , Stefan Roth

Approximate Nearest Neighbor (ANN) search has become fundamental to modern AI infrastructure, powering recommendation systems, search engines, and large language models across industry leaders from Google to OpenAI. Hierarchical Navigable…

Information Retrieval · Computer Science 2026-02-26 Ganap Ashit Tewary , Nrusinga Charan Gantayat , Jeff Zhang

Deep neural networks ( DNNs ) are becoming a key enabling technology for many application domains. However, on-device inference on battery-powered, resource-constrained embedding systems is often infeasible due to prohibitively long…

Machine Learning · Computer Science 2019-11-13 Vicent Sanz Marco , Ben Taylor , Zheng Wang , Yehia Elkhatib

Beyond standard summary statistics are necessary to summarize the rich information on non-linear scales in the era of precision galaxy clustering measurements. For the first time, we introduce the 2D k-th nearest neighbor (kNN) statistics…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-03 Sihan Yuan , Alvaro Zamora , Tom Abel

Hierarchical graph-based algorithms such as HNSW have achieved state-of-the-art performance for Approximate Nearest Neighbor (ANN) search in practice, yet they often lack theoretical guarantees on query time or recall due to their heavy use…

Data Structures and Algorithms · Computer Science 2025-05-26 Mohsen Dehghankar , Abolfazl Asudeh

Nearest neighbor (NN) sampling provides more semantic variations than pre-defined transformations for self-supervised learning (SSL) based image recognition problems. However, its performance is restricted by the quality of the support set,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Momojit Biswas , Himanshu Buckchash , Dilip K. Prasad

Hypergraph neural networks (HGNN) have recently become attractive and received significant attention due to their excellent performance in various domains. However, most existing HGNNs rely on first-order approximations of hypergraph…

Artificial Intelligence · Computer Science 2024-01-11 Maolin Wang , Yaoming Zhen , Yu Pan , Yao Zhao , Chenyi Zhuang , Zenglin Xu , Ruocheng Guo , Xiangyu Zhao

The $k$-nearest neighbor algorithm ($k$-NN) is a widely used non-parametric method for classification and regression. We study the mean squared error of the $k$-NN estimator when $k$ is chosen by leave-one-out cross-validation (LOOCV).…

Statistics Theory · Mathematics 2020-02-18 Mona Azadkia

We present Local Naive Bayes Nearest Neighbor, an improvement to the NBNN image classification algorithm that increases classification accuracy and improves its ability to scale to large numbers of object classes. The key observation is…

Computer Vision and Pattern Recognition · Computer Science 2011-12-02 Sancho McCann , David G. Lowe

Data mining has various real-time applications in fields such as finance telecommunications, biology, and government. Classification is a primary task in data mining. With the rise of cloud computing, users can outsource and access their…

Cryptography and Security · Computer Science 2024-07-09 Gunjan Mishra , Kalyani Pathak , Yash Mishra , Pragati Jadhav , Vaishali Keshervani

This paper proposes a new probabilistic classification algorithm using a Markov random field approach. The joint distribution of class labels is explicitly modelled using the distances between feature vectors. Intuitively, a class label…

Computation · Statistics 2010-06-02 Nial Friel , Anthony N. Pettitt

The K-Nearest Neighbors (KNN) algorithm is widely used for classification and regression; however, it suffers from limitations, including the equal treatment of all samples. We propose Information-Modified KNN (IM-KNN), a novel approach…

Machine Learning · Computer Science 2025-07-11 Mohammad Ali Vahedifar , Azim Akhtarshenas , Mohammad Mohammadi Rafatpanah , Maryam Sabbaghian

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…

We introduce a new variant of the nearest neighbor search problem, which allows for some coordinates of the dataset to be arbitrarily corrupted or unknown. Formally, given a dataset of $n$ points $P=\{ x_1,\ldots, x_n\}$ in high-dimensions,…

Computational Geometry · Computer Science 2015-11-24 Sariel Har-Peled , Sepideh Mahabadi

In the panoply of pattern classification techniques, few enjoy the intuitive appeal and simplicity of the nearest neighbor rule: given a set of samples in some metric domain space whose value under some function is known, we estimate the…

Machine Learning · Computer Science 2013-09-10 Shaun N. Joseph , Seif Omar Abu Bakr , Gabriel Lugo

We consider the problem of feature detection in the presence of clutter in spatial point processes. Classification methods have been developed in previous studies. Among these, Byers and Raftery (1998) models the observed Kth nearest…

Methodology · Statistics 2024-03-13 Nicoletta D'Angelo

We introduce a graphical presentation for the false nearest neighbors (FNN) method. In the original method only the percentage of false neighbors is computed without regard to the distribution of neighboring points in the time-delay…

chao-dyn · Physics 2009-10-31 T. Aittokallio , M. Gyllenberg , J. Hietarinta , T. Kuusela , T. Multamaki
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