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Motivated by recent work in computational social choice, we extend the metric distortion framework to clustering problems. Given a set of $n$ agents located in an underlying metric space, our goal is to partition them into $k$ clusters,…

Computer Science and Game Theory · Computer Science 2024-02-07 Jakob Burkhardt , Ioannis Caragiannis , Karl Fehrs , Matteo Russo , Chris Schwiegelshohn , Sudarshan Shyam

t-distributed Stochastic Neighborhood Embedding (t-SNE) is a method for dimensionality reduction and visualization that has become widely popular in recent years. Efficient implementations of t-SNE are available, but they scale poorly to…

Machine Learning · Computer Science 2019-02-26 George C. Linderman , Manas Rachh , Jeremy G. Hoskins , Stefan Steinerberger , Yuval Kluger

With the proliferation of spatio-textual data, Top-k KNN spatial keyword queries (TkQs), which return a list of objects based on a ranking function that considers both spatial and textual relevance, have found many real-life applications.…

Information Retrieval · Computer Science 2024-11-15 Ziqi Yin , Shanshan Feng , Shang Liu , Gao Cong , Yew Soon Ong , Bin Cui

Reverse k nearest neighbor (RkNN) queries are fundamental in spatial databases, location-based analytics, and recommendation systems. Existing state-of-the-art techniques rely on spatial pruning supported by R-trees and their variants.…

Databases · Computer Science 2026-05-27 Zhengyang Bai , Peng Chen , Mohamed Wahib

Approximate nearest neighbor (ANN) search is a fundamental problem in computer science for which in-memory graph-based methods, such as Hierarchical Navigable Small World (HNSW), perform exceptionally well. To scale beyond billions of…

Databases · Computer Science 2025-07-24 Manuel Widmoser , Daniel Kocher , Nikolaus Augsten

Similarity search, the task of identifying objects most similar to a given query object under a specific metric, has gathered significant attention due to its practical applications. However, the absence of coordinate information to…

Databases · Computer Science 2024-05-14 Yifan Zhu , Ruiyao Ma , Baihua Zheng , Xiangyu Ke , Lu Chen , Yunjun Gao

Approximate k-Nearest Neighbour (ANN) methods are often used for mining information and aiding machine learning on large scale high-dimensional datasets. ANN methods typically differ in the index structure used for accelerating searches,…

Machine Learning · Computer Science 2025-02-04 Ben Harwood , Amir Dezfouli , Iadine Chades , Conrad Sanderson

Clustering is a fundamental problem in unsupervised machine learning with many applications in data analysis. Popular clustering algorithms such as Lloyd's algorithm and $k$-means++ can take $\Omega(ndk)$ time when clustering $n$ points in…

Machine Learning · Computer Science 2023-10-26 Moses Charikar , Monika Henzinger , Lunjia Hu , Maxmilian Vötsch , Erik Waingarten

$t$-SNE is an embedding method that the data science community has widely Two interesting characteristics of t-SNE are the structure preservation property and the answer to the crowding problem, where all neighbors in high dimensional space…

Machine Learning · Computer Science 2021-09-23 Gaëlle Candel , David Naccache

Stochastic gradient descent (SGD) is a widely adopted iterative method for optimizing differentiable objective functions. In this paper, we propose and discuss a novel approach to scale up SGD in applications involving non-convex functions…

Machine Learning · Statistics 2022-10-07 Saad Mohamad , Hamad Alamri , Abdelhamid Bouchachia

In this work, we present a randomized coreset construction for projective clustering, which involves computing a set of $k$ closest $j$-dimensional linear (affine) subspaces of a given set of $n$ vectors in $d$ dimensions. Let $A \in…

Computational Geometry · Computer Science 2018-07-17 Rameshwar Pratap , Sandeep Sen

Dimensionality reduction (DR) techniques are often characterized by whether they preserve global, high-level structures in the data or local, neighborhood structures. This distinction matters in visualization: global methods can obscure…

Machine Learning · Computer Science 2026-05-04 Kaviru Gunaratne , Stephen Kobourov , Jacob Miller

Convolutional Neural Networks (CNN) have been pivotal to the success of many state-of-the-art classification problems, in a wide variety of domains (for e.g. vision, speech, graphs and medical imaging). A commonality within those domains is…

Machine Learning · Computer Science 2019-12-02 Rohan Ghosh , Anupam K. Gupta , Mehul Motani

Similarity search is a fundamental algorithmic primitive, widely used in many computer science disciplines. There are several variants of the similarity search problem, and one of the most relevant is the $r$-near neighbor ($r$-NN) problem:…

Data Structures and Algorithms · Computer Science 2020-06-16 Martin Aumüller , Rasmus Pagh , Francesco Silvestri

The volume of image repositories continues to grow. Despite the availability of content-based addressing, we still lack a lightweight tool that allows us to discover images of distinct characteristics from a large collection. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2024-02-15 Shanfeng Hu

The state-of-the-art deep neural networks (DNNs) have significant computational and data management requirements. The size of both training data and models continue to increase. Sparsification and pruning methods are shown to be effective…

Machine Learning · Computer Science 2021-04-27 Gunduz Vehbi Demirci , Hakan Ferhatosmanoglu

Vector search underpins modern AI applications by supporting approximate nearest neighbor (ANN) queries over high-dimensional embeddings in tasks like retrieval-augmented generation (RAG), recommendation systems, and multimodal search.…

Databases · Computer Science 2026-05-19 Shurui Zhong , Dingheng Mo , Siqiang Luo

Monocular depth estimation, which plays a crucial role in understanding 3D scene geometry, is an ill-posed problem. Recent methods have gained significant improvement by exploring image-level information and hierarchical features from deep…

Computer Vision and Pattern Recognition · Computer Science 2018-06-08 Huan Fu , Mingming Gong , Chaohui Wang , Kayhan Batmanghelich , Dacheng Tao

This paper presents an architecture-friendly k-means clustering algorithm called SIVF for a large-scale and high-dimensional sparse data set. Algorithm efficiency on time is often measured by the number of costly operations such as…

Machine Learning · Statistics 2021-03-31 Kazuo Aoyama , Kazumi Saito

Modern solutions to the single image super-resolution (SISR) problem using deep neural networks aim not only at better performance accuracy but also at a lighter and computationally efficient model. To that end, recently, neural…

Computer Vision and Pattern Recognition · Computer Science 2021-04-26 Yan Wu , Zhiwu Huang , Suryansh Kumar , Rhea Sanjay Sukthanker , Radu Timofte , Luc Van Gool