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Data analysis in high-dimensional spaces aims at obtaining a synthetic description of a data set, revealing its main structure and its salient features. We here introduce an approach providing this description in the form of a topography of…

Machine Learning · Statistics 2021-03-02 Maria d'Errico , Elena Facco , Alessandro Laio , Alex Rodriguez

Coresets are one of the central methods to facilitate the analysis of large data sets. We continue a recent line of research applying the theory of coresets to logistic regression. First, we show a negative result, namely, that no strongly…

Data Structures and Algorithms · Computer Science 2021-03-09 Alexander Munteanu , Chris Schwiegelshohn , Christian Sohler , David P. Woodruff

Image convolution with complex kernels is a fundamental operation in photography, scientific imaging, and animation effects, yet direct dense convolution is computationally prohibitive on resource-limited devices. Existing approximations,…

Graphics · Computer Science 2026-05-20 Zhizhen Wu , Zhe Cao , Yuchi Huo

The effectiveness of machine learning models, particularly in unbalanced classification tasks, is often hindered by the failure to differentiate between critical instances near the decision boundary and redundant samples concentrated in the…

Machine Learning · Computer Science 2025-09-25 Samir Brahim Belhaouari , Yunis Carreon Kahalan , Humaira Shaffique , Ismael Belhaouari , Ashhadul Islam

Estimating structures in "big data" and clustering them are among the most fundamental problems in computer vision, pattern recognition, data mining, and many other other research fields. Over the past few decades, many studies have been…

Machine Learning · Computer Science 2019-01-09 Maryam Jaberi , Marianna Pensky , Hassan Foroosh

We apply kernel mean embedding methods to sample-based stochastic optimization and control. Specifically, we use the reduced-set expansion method as a way to discard sampled scenarios. The effect of such constraint removal is improved…

Optimization and Control · Mathematics 2020-04-24 Jia-Jie Zhu , Moritz Diehl , Bernhard Schölkopf

Measuring similarity between two objects is the core operation in existing clustering algorithms in grouping similar objects into clusters. This paper introduces a new similarity measure called point-set kernel which computes the similarity…

Machine Learning · Computer Science 2022-01-07 Kai Ming Ting , Jonathan R. Wells , Ye Zhu

It is a common practice to evaluate probability density function or matter spatial density function from statistical samples. Kernel density estimation is a frequently used method, but to select an optimal bandwidth of kernel estimation,…

Methodology · Statistics 2021-04-27 Zhen-Wei Li , Ping He

Reconstructing three-dimensional (3D) scenes with semantic understanding is vital in many robotic applications. Robots need to identify which objects, along with their positions and shapes, to manipulate them precisely with given tasks.…

Robotics · Computer Science 2024-12-17 Khang Nguyen , Tuan Dang , Manfred Huber

As the size and richness of available datasets grow larger, the opportunities for solving increasingly challenging problems with algorithms learning directly from data grow at the same pace. Consequently, the capability of learning…

Machine Learning · Computer Science 2019-12-13 Raffaello Camoriano

Improvements in computational and experimental capabilities are rapidly increasing the amount of scientific data that is routinely generated. In applications that are constrained by memory and computational intensity, excessively large…

Machine Learning · Computer Science 2023-02-28 Malik Hassanaly , Bruce A. Perry , Michael E. Mueller , Shashank Yellapantula

Downsampling is widely adopted to achieve a good trade-off between accuracy and latency for visual recognition. Unfortunately, the commonly used pooling layers are not learned, and thus cannot preserve important information. As another…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Ho Man Kwan , Shenghui Song

The paper presents a novel learning-based sampling strategy that guarantees rejection-free sampling of the free space under both biased and approximately uniform conditions, leveraging multivariate kernel densities. Historical data from a…

Robotics · Computer Science 2025-05-15 Thomas T. Enevoldsen , Roberto Galeazzi

Compressed sensing is a technique for recovering an unknown sparse signal from a small number of linear measurements. When the measurement matrix is random, the number of measurements required for perfect recovery exhibits a phase…

Optimization and Control · Mathematics 2016-12-30 Mateo Díaz , Mauricio Junca , Felipe Rincón , Mauricio Velasco

Data mining has traditionally focused on the task of drawing inferences from large datasets. However, many scientific and engineering domains, such as fluid dynamics and aircraft design, are characterized by scarce data, due to the expense…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Naren Ramakrishnan , Chris Bailey-Kellogg

Density estimation for geospatial data ideally relies on precise geocoordinates, typically defined by longitude and latitude. However, such detailed information is often unavailable due to confidentiality constraints. As a result, analysts…

Applications · Statistics 2025-08-06 Michael Mühlbauer , Timo Schmid

Coreset selection seeks to choose a subset of crucial training samples for efficient learning. It has gained traction in deep learning, particularly with the surge in training dataset sizes. Sample selection hinges on two main aspects: a…

Machine Learning · Computer Science 2024-03-05 Zhijing Wan , Zhixiang Wang , Yuran Wang , Zheng Wang , Hongyuan Zhu , Shin'ichi Satoh

Active domain adaptation has emerged as a solution to balance the expensive annotation cost and the performance of trained models in semantic segmentation. However, existing works usually ignore the correlation between selected samples and…

Computer Vision and Pattern Recognition · Computer Science 2023-12-18 Shizhan Liu , Zhengkai Jiang , Yuxi Li , Jinlong Peng , Yabiao Wang , Weiyao Lin

Real-time rendering for video games has become increasingly challenging due to the need for higher resolutions, framerates and photorealism. Supersampling has emerged as an effective solution to address this challenge. Our work introduces a…

Computer Vision and Pattern Recognition · Computer Science 2023-08-04 Antoine Mercier , Ruan Erasmus , Yashesh Savani , Manik Dhingra , Fatih Porikli , Guillaume Berger

This work investigates the ``small-vs-large gap'', where repeating on fewer samples can lead to compute saving during training compared to using a larger dataset. This is observed across algorithmic tasks, architectures and optimizers and…

Machine Learning · Computer Science 2026-05-21 Jingwen Liu , Ezra Edelman , Surbhi Goel , Bingbin Liu
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