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While robust parameter estimation has been well studied in parametric density estimation, there has been little investigation into robust density estimation in the nonparametric setting. We present a robust version of the popular kernel…

Machine Learning · Statistics 2014-11-18 Robert A. Vandermeulen , Clayton D. Scott

We study efficient mechanisms for differentially private kernel density estimation (DP-KDE). Prior work for the Gaussian kernel described algorithms that run in time exponential in the number of dimensions $d$. This paper breaks the…

Data Structures and Algorithms · Computer Science 2023-07-06 Tal Wagner , Yonatan Naamad , Nina Mishra

Approximate nearest-neighbor search (ANNS) algorithms are a key part of the modern deep learning stack due to enabling efficient similarity search over high-dimensional vector space representations (i.e., embeddings) of data. Among various…

Information Retrieval · Computer Science 2024-02-09 Magdalen Dobson Manohar , Zheqi Shen , Guy E. Blelloch , Laxman Dhulipala , Yan Gu , Harsha Vardhan Simhadri , Yihan Sun

In this paper, we propose a method for density-based clustering in high-dimensional spaces that combines Locality-Sensitive Hashing (LSH) with the Quick Shift algorithm. The Quick Shift algorithm, known for its hierarchical clustering…

Machine Learning · Computer Science 2025-12-01 Sajjad Hashemian

Approximate Nearest Neighbor Search (ANNS) in high dimensional spaces is crucial for many real-life applications (e.g., e-commerce, web, multimedia, etc.) dealing with an abundance of data. This paper proposes an end-to-end learning…

Machine Learning · Computer Science 2022-10-20 Abrar Fahim , Mohammed Eunus Ali , Muhammad Aamir Cheema

In the kernel density estimation (KDE) problem, we are given a set $X$ of data points in $\mathbb{R}^d$, a kernel function $k: \mathbb{R}^d \times \mathbb{R}^d \rightarrow \mathbb{R}$, and a query point $\mathbf{q} \in \mathbb{R}^d$, and…

Data Structures and Algorithms · Computer Science 2025-07-03 Steinar Laenen , Peter Macgregor , He Sun

We introduce Kernel Density Discrimination GAN (KDD GAN), a novel method for generative adversarial learning. KDD GAN formulates the training as a likelihood ratio optimization problem where the data distributions are written explicitly via…

Machine Learning · Computer Science 2021-07-14 Abdelhak Lemkhenter , Adam Bielski , Alp Eren Sari , Paolo Favaro

Computing $k$-Nearest Neighbors (KNN) is one of the core kernels used in many machine learning, data mining and scientific computing applications. Although kd-tree based $O(\log n)$ algorithms have been proposed for computing KNN, due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Md. Mostofa Ali Patwary , Nadathur Rajagopalan Satish , Narayanan Sundaram , Jialin Liu , Peter Sadowski , Evan Racah , Suren Byna , Craig Tull , Wahid Bhimji , Prabhat , Pradeep Dubey

ANNS for embedded vector representations of texts is commonly used in information retrieval, with two important information representations being sparse and dense vectors. While it has been shown that combining these representations…

Information Retrieval · Computer Science 2024-10-29 Haoyu Zhang , Jun Liu , Zhenhua Zhu , Shulin Zeng , Maojia Sheng , Tao Yang , Guohao Dai , Yu Wang

Density estimation in high-dimensional settings is an important and challenging statistical problem.Traditional methods based on kernel smoothing are inefficient in high dimensions due to the difficulties in specifying appropriate…

Machine Learning · Statistics 2026-05-14 Ruitong Zhang , Ke Deng

Approximate nearest neighbour (ANN) search is one of the most important problems in computer science fields such as data mining or computer vision. In this paper, we focus on ANN for high-dimensional binary vectors and we propose a simple…

Computer Vision and Pattern Recognition · Computer Science 2019-03-26 Michal Komorowski , Tomasz Trzcinski

Density-based clustering is the task of discovering high-density regions of entities (clusters) that are separated from each other by contiguous regions of low-density. DBSCAN is, arguably, the most popular density-based clustering…

Machine Learning · Computer Science 2018-11-20 Stiphen Chowdhury , Renato Cordeiro de Amorim

Modern day Language Models see extensive use in text classification, yet this comes at significant computational cost. Compute-effective classification models are needed for low-resource environments, most notably on edge devices. We…

Machine Learning · Computer Science 2024-11-22 Stan Loosmore , Alexander Titus

Approximate nearest neighbor (ANN) search is a widely applied technique in modern intelligent applications, such as recommendation systems and vector databases. Therefore, efficient and high-throughput execution of ANN search has become…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-05 Zihan Liu , Wentao Ni , Jingwen Leng , Yu Feng , Cong Guo , Quan Chen , Chao Li , Minyi Guo , Yuhao Zhu

With the growing integration of structured and unstructured data, new methods have emerged for performing similarity searches on vectors while honoring structured attribute constraints, i.e., a process known as Filtering Approximate Nearest…

Databases · Computer Science 2025-09-23 Mocheng Li , Xiao Yan , Baotong Lu , Yue Zhang , James Cheng , Chenhao Ma

Let $k$ be a nonnegative integer. In the approximate $k$-flat nearest neighbor ($k$-ANN) problem, we are given a set $P \subset \mathbb{R}^d$ of $n$ points in $d$-dimensional space and a fixed approximation factor $c > 1$. Our goal is to…

Computational Geometry · Computer Science 2014-11-07 Wolfgang Mulzer , Huy L. Nguyen , Paul Seiferth , Yannik Stein

Kernel Density Estimation (KDE) is a cornerstone of nonparametric statistics, yet it remains sensitive to bandwidth choice, boundary bias, and computational inefficiency. This study revisits KDE through a principled convolutional framework,…

Methodology · Statistics 2025-10-24 Nicholas Tenkorang , Kwesi Appau Ohene-Obeng , Xiaogang Su

Approximate nearest neighbor (ANN) search is a key component in many modern machine learning pipelines; recent use cases include retrieval-augmented generation (RAG) and vector databases. Clustering-based ANN algorithms, that use score…

Machine Learning · Computer Science 2024-10-25 Elias Jääsaari , Ville Hyvönen , Teemu Roos

Anomaly detection aims at identifying images that deviate significantly from the norm. We focus on algorithms that embed the normal training examples in space and when given a test image, detect anomalies based on the features distance to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Ori Nizan , Ayellet Tal

Approximate nearest neighbor search (ANNS) is a key retrieval technique for vector database and many data center applications, such as person re-identification and recommendation systems. It is also fundamental to retrieval augmented…

Hardware Architecture · Computer Science 2024-05-30 Yitu Wang , Shiyu Li , Qilin Zheng , Linghao Song , Zongwang Li , Andrew Chang , Hai "Helen" Li , Yiran Chen