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Subsampling from a large data set is useful in many supervised learning contexts to provide a global view of the data based on only a fraction of the observations. Diverse (or space-filling) subsampling is an appealing subsampling approach…

Methodology · Statistics 2023-11-27 Boyang Shang , Daniel W. Apley , Sanjay Mehrotra

Discrete diffusion models (DDMs) have shown powerful generation ability for discrete data modalities like text and molecules. However, their practical application is hindered by inefficient sampling, requiring a large number of sampling…

Machine Learning · Computer Science 2025-09-25 Feiyang Fu , Tongxian Guo , Zhaoqiang Liu

Many applications in machine learning or signal processing involve nonsmooth optimization problems. This nonsmoothness brings a low-dimensional structure to the optimal solutions. In this paper, we propose a randomized proximal gradient…

Optimization and Control · Mathematics 2020-04-29 Dmitry Grishchenko , Franck Iutzeler , Jérôme Malick

This paper proposes a novel method of algorithmic subsampling (data sketching) for multiway cluster dependent data. We establish a new uniform weak law of large numbers and a new central limit theorem for the multiway algorithmic subsample…

Econometrics · Economics 2025-01-15 Harold D. Chiang , Jiatong Li , Yuya Sasaki

Scanning Transmission Electron Microscopy (STEM) offers high-resolution images that are used to quantify the nanoscale atomic structure and composition of materials and biological specimens. In many cases, however, the resolution is limited…

Signal Processing · Electrical Eng. & Systems 2021-12-23 Daniel Nicholls , Alex Robinson , Jack Wells , Amirafshar Moshtaghpour , Mounib Bahri , Angus Kirkland , Nigel Browning

Semantic correspondence, the task of determining relationships between different parts of images, underpins various applications including 3D reconstruction, image-to-image translation, object tracking, and visual place recognition. Recent…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Frank Fundel , Johannes Schusterbauer , Vincent Tao Hu , Björn Ommer

Distilled diffusion models generate images in far fewer timesteps but suffer from reduced sample diversity when generating multiple outputs from the same prompt. To understand this phenomenon, we first investigate whether distillation…

Graphics · Computer Science 2025-11-11 Rohit Gandikota , David Bau

We consider the problem of assigning weights to a set of samples or data records, with the goal of achieving a representative weighting, which happens when certain sample averages of the data are close to prescribed values. We frame the…

Machine Learning · Statistics 2020-05-20 Shane Barratt , Guillermo Angeris , Stephen Boyd

Sparse representation has attracted great attention because it can greatly save storage resources and find representative features of data in a low-dimensional space. As a result, it may be widely applied in engineering domains including…

Neural and Evolutionary Computing · Computer Science 2022-11-09 Chunming Jiang , Yilei Zhang

Random sampling has become a critical tool in solving massive matrix problems. For linear regression, a small, manageable set of data rows can be randomly selected to approximate a tall, skinny data matrix, improving processing time…

Data Structures and Algorithms · Computer Science 2014-08-22 Michael B. Cohen , Yin Tat Lee , Cameron Musco , Christopher Musco , Richard Peng , Aaron Sidford

Few-shot Semantic Segmentation (FSS) is a challenging task that utilizes limited support images to segment associated unseen objects in query images. However, recent FSS methods are observed to perform worse, when enlarging the number of…

Computer Vision and Pattern Recognition · Computer Science 2025-01-24 Wailing Tang , Biqi Yang , Pheng-Ann Heng , Yun-Hui Liu , Chi-Wing Fu

The sparse representation of signals defined on Euclidean domains has been successfully applied in signal processing. Bringing the power of sparse representations to non-regular domains is still a challenge, but promising approaches have…

Computational Geometry · Computer Science 2020-11-26 Lizeth J. Fuentes Perez , Luciano A. Romero Calla , Anselmo A. Montenegro , Claudio Mura , Renato Pajarola

Exemplar-based face sketch synthesis plays an important role in both digital entertainment and law enforcement. It generally consists of two parts: neighbor selection and reconstruction weight representation. The most time-consuming or main…

Computer Vision and Pattern Recognition · Computer Science 2017-08-14 Nannan Wang , Xinbo Gao , Jie Li

Increasing spatial image resolution is an often required, yet challenging task in image acquisition. Recently, it has been shown that it is possible to obtain a high resolution image by covering a low resolution sensor with a non-regular…

Image and Video Processing · Electrical Eng. & Systems 2022-04-11 Markus Jonscher , Jürgen Seiler , Thomas Richter , André Kaup

Generative diffusion models have emerged as a powerful tool for high-quality image synthesis, yet their iterative nature demands significant computational resources. This paper proposes an efficient time step sampling method based on an…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Haeil Lee , Hansang Lee , Seoyeon Gye , Junmo Kim

How to learn highly compact yet effective sentence representation? Pre-trained language models have been effective in many NLP tasks. However, these models are often huge and produce large sentence embeddings. Moreover, there is a big…

Computation and Language · Computer Science 2022-03-16 Xuandong Zhao , Zhiguo Yu , Ming Wu , Lei Li

A new method of particle size analysis of micrometer-sized particles is discussed. The improved method of sedimentation analysis with magnetic fluids has the potential and versatility to characterize polydisperse systems.

Soft Condensed Matter · Physics 2011-04-05 Yury Dikansky , Arthur Zakinyan , Marita Bedganian

In this work, we consider two kinds of model reduction techniques to simulate blood flow through the largest systemic arteries, where a stenosis is located in a peripheral artery i.e. in an artery that is located far away from the heart.…

Numerical Analysis · Mathematics 2018-10-09 Tobias Köppl , Gabriele Santin , Bernard Haasdonk , Rainer Helmig

Constructing reduced representations of high-dimensional systems is a fundamental problem in physical chemistry. Many unsupervised machine learning methods can automatically find such low-dimensional representations. However, an often…

Chemical Physics · Physics 2024-04-04 Jakub Rydzewski

Multimodal representations that enable cross-modal retrieval are widely used. However, these often lack interpretability making it difficult to explain the retrieved results. Solutions such as learning sparse disentangled representations…

Information Retrieval · Computer Science 2025-06-25 Prachi J , Sumit Bhatia , Srikanta Bedathur