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DBSCAN is a popular density-based clustering algorithm that has many different applications in practice. However, the running time of DBSCAN in high-dimensional space or general metric space ({\em e.g.,} clustering a set of texts by using…

Data Structures and Algorithms · Computer Science 2025-01-07 Guanlin Mo , Shihong Song , Hu Ding

We propose HAMSI (Hessian Approximated Multiple Subsets Iteration), which is a provably convergent, second order incremental algorithm for solving large-scale partially separable optimization problems. The algorithm is based on a local…

DBSCAN is a classical density-based clustering procedure with tremendous practical relevance. However, DBSCAN implicitly needs to compute the empirical density for each sample point, leading to a quadratic worst-case time complexity, which…

Machine Learning · Computer Science 2019-05-21 Jennifer Jang , Heinrich Jiang

We present a fast, adaptive multiresolution algorithm for applying integral operators with a wide class of radially symmetric kernels in dimensions one, two and three. This algorithm is made efficient by the use of separated representations…

Numerical Analysis · Mathematics 2007-08-14 Gregory Beylkin , Vani Cheruvu , Fernando Pérez

This paper pushes further the intrinsic capabilities of the GFEM$^{gl}$ global-local approach introduced initially in [1]. We develop a distributed computing approach using MPI (Message Passing Interface) both for the global and local…

Numerical Analysis · Mathematics 2023-02-22 Alexis Salzman , Nicolas Moës

This paper presents a multiscale approach to efficiently compute approximate optimal transport plans between point sets. It is particularly well-suited for point sets that are in high-dimensions, but are close to being intrinsically…

Machine Learning · Computer Science 2021-04-13 Samuel Gerber , Mauro Maggioni

To overcome the performance limitations in modern computing, such as the power wall, emerging computing paradigms are gaining increasing importance. Approximate computing offers a promising solution by substantially enhancing energy…

Emerging Technologies · Computer Science 2024-12-23 Melanie Qiu , Caoyueshan Fan , Gulafshan , Salar Shakibhamedan , Fabian Seiler , Nima TaheriNejad

We propose a fast bivariate smoothing approach for symmetric surfaces that has a wide range of applications. We show how it can be applied to estimate the covariance function in longitudinal data as well as multiple additive covariances in…

Computation · Statistics 2016-09-23 Jona Cederbaum , Fabian Scheipl , Sonja Greven

The alternating direction method of multipliers (ADMM) has been recognized as a versatile approach for solving modern large-scale machine learning and signal processing problems efficiently. When the data size and/or the problem dimension…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-04 Tsung-Hui Chang , Wei-Cheng Liao , Mingyi Hong , Xiangfeng Wang

High-Dimensional and Incomplete (HDI) data is commonly encountered in big data-related applications like social network services systems, which are concerning the limited interactions among numerous nodes. Knowledge acquisition from HDI…

Artificial Intelligence · Computer Science 2023-09-20 Yurong Zhong , Zhe Xie , Weiling Li , Xin Luo

We study the problem of multi-task non-smooth optimization that arises ubiquitously in statistical learning, decision-making and risk management. We develop a data fusion approach that adaptively leverages commonalities among a large number…

Machine Learning · Statistics 2022-10-25 Henry Lam , Kaizheng Wang , Yuhang Wu , Yichen Zhang

Supervised (linear) embedding models like Wsabie and PSI have proven successful at ranking, recommendation and annotation tasks. However, despite being scalable to large datasets they do not take full advantage of the extra data due to…

Information Retrieval · Computer Science 2013-01-18 Jason Weston , Ron Weiss , Hector Yee

We present fast classification techniques for sparse generalized linear and additive models. These techniques can handle thousands of features and thousands of observations in minutes, even in the presence of many highly correlated…

Machine Learning · Computer Science 2022-11-01 Jiachang Liu , Chudi Zhong , Margo Seltzer , Cynthia Rudin

We investigate nonlinear instrumental variable (IV) regression given high-dimensional instruments. We propose a simple algorithm which combines kernelized IV methods and an arbitrary, adaptive regression algorithm, accessed as a black box.…

Machine Learning · Statistics 2022-10-25 Ziyu Wang , Yuhao Zhou , Jun Zhu

The parallel and distributed processing are becoming de facto industry standard, and a large part of the current research is targeted on how to make computing scalable and distributed, dynamically, without allocating the resources on…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-10 Rajendra Purohit , K R Chowdhary , S D Purohit

The implementation of large-scale universal quantum computation represents a challenging and ambitious task on the road to quantum processing of information. In recent years, an intermediate approach has been pursued to demonstrate quantum…

Fault diagnosis has attracted extensive attention for its importance in the exceedingly fault management framework for cloud virtualization, despite the fact that fault diagnosis becomes more difficult due to the increasing scalability and…

Software Engineering · Computer Science 2015-07-30 Ameen Alkasem , Hongwei Liu , Zuo Decheng , Yao Zhao

Big data analytics is gaining massive momentum in the last few years. Applying machine learning models to big data has become an implicit requirement or an expectation for most analysis tasks, especially on high-stakes applications.Typical…

Databases · Computer Science 2018-04-24 Wei Wang , Sheng Wang , Jinyang Gao , Meihui Zhang , Gang Chen , Teck Khim Ng , Beng Chin Ooi

Deep learning has proven to be a highly effective tool for a wide range of applications, significantly when leveraging the power of multi-loss functions to optimize performance on multiple criteria simultaneously. However, optimal selection…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Amin Golnari , Mostafa Diba

We introduce Flat Hilbert Bayesian Inference (FHBI), an algorithm designed to enhance generalization in Bayesian inference. Our approach involves an iterative two-step procedure with an adversarial functional perturbation step and a…

Machine Learning · Computer Science 2025-06-10 Tuan Truong , Quyen Tran , Quan Pham-Ngoc , Nhat Ho , Dinh Phung , Trung Le