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With the scale of data growing every day, reducing the dimensionality (a.k.a. sketching) of high-dimensional data has emerged as a task of paramount importance. Relevant issues to address in this context include the sheer volume of data…

Machine Learning · Statistics 2017-08-02 Yanning Shen , Morteza Mardani , Georgios B. Giannakis

In this paper we consider large-scale smooth optimization problems with multiple linear coupled constraints. Due to the non-separability of the constraints, arbitrary random sketching would not be guaranteed to work. Thus, we first…

Optimization and Control · Mathematics 2018-08-09 Ion Necoara , Martin Takac

The compressive learning framework reduces the computational cost of training on large-scale datasets. In a sketching phase, the data is first compressed to a lightweight sketch vector, obtained by mapping the data samples through a…

Machine Learning · Statistics 2022-04-20 Vincent Schellekens , Laurent Jacques

The evolution of communities in dynamic (time-varying) network data is a prominent topic of interest. A popular approach to understanding these dynamic networks is to embed the dyadic relations into a latent metric space. While methods for…

Methodology · Statistics 2020-03-18 Joshua Daniel Loyal , Yuguo Chen

Linear regression is a classic method of data analysis. In recent years, sketching -- a method of dimension reduction using random sampling, random projections, or both -- has gained popularity as an effective computational approximation…

Machine Learning · Statistics 2020-08-04 Jocelyn T. Chi , Ilse C. F. Ipsen

This paper argues that randomized linear sketching is a natural tool for on-the-fly compression of data matrices that arise from large-scale scientific simulations and data collection. The technical contribution consists in a new algorithm…

Numerical Analysis · Computer Science 2019-02-26 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

In the following article we provide an exposition of exact computational methods to perform parameter inference from partially observed network models. In particular, we consider the duplication attachment (DA) model which has a likelihood…

Computation · Statistics 2013-06-20 Junshan Wang , Ajay Jasra , Maria De Iorio

Data sketches balance resource efficiency with controllable approximations for extracting features in high-volume, high-rate data. Two important points of interest are highlighted separately in recent works; namely, to (1) answer multiple…

Data Structures and Algorithms · Computer Science 2025-07-08 Martin Hilgendorf , Marina Papatriantafilou

We study parameter inference in large-scale latent variable models. We first propose an unified treatment of online inference for latent variable models from a non-canonical exponential family, and draw explicit links between several…

Machine Learning · Computer Science 2018-02-01 Christophe Dupuy , Francis Bach

Networks are a commonly used mathematical model to describe the rich set of interactions between objects of interest. Many clustering methods have been developed in order to partition such structures, among which several rely on underlying…

Methodology · Statistics 2014-05-13 P. Latouche , E. Birmelé , C. Ambroise

This paper introduces a framework for speeding up Bayesian inference conducted in presence of large datasets. We design a Markov chain whose transition kernel uses an (unknown) fraction of (fixed size) of the available data that is randomly…

Methodology · Statistics 2018-06-01 Florian Maire , Nial Friel , Pierre Alquier

Exponential random graph models are extremely difficult models to handle from a statistical viewpoint, since their normalising constant, which depends on model parameters, is available only in very trivial cases. We show how inference can…

Applications · Statistics 2010-09-30 Alberto Caimo , Nial Friel

We revisit data selection in a modern context of finetuning from a fundamental perspective. Extending the classical wisdom of variance minimization in low dimensions to high-dimensional finetuning, our generalization analysis unveils the…

Machine Learning · Computer Science 2025-02-10 Yijun Dong , Hoang Phan , Xiang Pan , Qi Lei

In sequential recommender system applications, it is important to develop models that can capture users' evolving interest over time to successfully recommend future items that they are likely to interact with. For users with long…

Information Retrieval · Computer Science 2021-12-15 Aritra Ghosh , Saayan Mitra , Andrew Lan

Sketches have shown high accuracy in multi-way join cardinality estimation, a critical problem in cost-based query optimization. Accurately estimating the cardinality of a join operation -- analogous to its computational cost -- allows the…

Databases · Computer Science 2025-06-18 Brian Tsan , Abylay Amanbayev , Asoke Datta , Florin Rusu

In this paper, we develop a novel procedure for low-rank tensor regression, namely \emph{\underline{I}mportance \underline{S}ketching \underline{L}ow-rank \underline{E}stimation for \underline{T}ensors} (ISLET). The central idea behind…

Machine Learning · Statistics 2020-05-11 Anru Zhang , Yuetian Luo , Garvesh Raskutti , Ming Yuan

Scalable algorithms to solve optimization and regression tasks even approximately, are needed to work with large datasets. In this paper we study efficient techniques from matrix sketching to solve a variety of convex constrained regression…

Machine Learning · Computer Science 2019-11-01 Graham Cormode , Charlie Dickens

Humans effortlessly grasp the connection between sketches and real-world objects, even when these sketches are far from realistic. Moreover, human sketch understanding goes beyond categorization -- critically, it also entails understanding…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Xuanchen Lu , Xiaolong Wang , Judith E Fan

Keypoint detection, integral to modern machine perception, faces challenges in few-shot learning, particularly when source data from the same distribution as the query is unavailable. This gap is addressed by leveraging sketches, a popular…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Subhajit Maity , Ayan Kumar Bhunia , Subhadeep Koley , Pinaki Nath Chowdhury , Aneeshan Sain , Yi-Zhe Song

As sketch research has collectively matured over time, its adaptation for at-mass commercialisation emerges on the immediate horizon. Despite an already mature research endeavour for photos, there is no research on the efficient inference…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Aneeshan Sain , Subhajit Maity , Pinaki Nath Chowdhury , Subhadeep Koley , Ayan Kumar Bhunia , Yi-Zhe Song