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Determinantal point processes (DPPs) are random configurations of points with tunable negative dependence. Because sampling is tractable, DPPs are natural candidates for subsampling tasks, such as minibatch selection or coreset…

Machine Learning · Statistics 2024-11-04 Rémi Bardenet , Subhroshekhar Ghosh , Hugo Simon-Onfroy , Hoang-Son Tran

Determinantal point processes (DPPs) are an elegant model for encoding probabilities over subsets, such as shopping baskets, of a ground set, such as an item catalog. They are useful for a number of machine learning tasks, including product…

Machine Learning · Statistics 2016-08-17 Mike Gartrell , Ulrich Paquet , Noam Koenigstein

In this technical report, we discuss several sampling algorithms for Determinantal Point Processes (DPP). DPPs have recently gained a broad interest in the machine learning and statistics literature as random point processes with negative…

Computation · Statistics 2018-02-26 Nicolas Tremblay , Simon Barthelme , Pierre-Olivier Amblard

Semi-parametric regression models are used in several applications which require comprehensibility without sacrificing accuracy. Typical examples are spline interpolation in geophysics, or non-linear time series problems, where the system…

Machine Learning · Computer Science 2021-03-10 Michaël Fanuel , Joachim Schreurs , Johan A. K. Suykens

Determinantal point processes (DPPs) enable the modeling of repulsion: they provide diverse sets of points. The repulsion is encoded in a kernel $K$ that can be seen as a matrix storing the similarity between points. The diversity comes…

Machine Learning · Statistics 2021-02-24 Claire Launay , Bruno Galerne , Agnès Desolneux

Determinantal point processes (DPPs) have become a significant tool for recommendation systems, feature selection, or summary extraction, harnessing the intrinsic ability of these probabilistic models to facilitate sample diversity. The…

Machine Learning · Statistics 2020-07-09 Rémi Bardenet , Subhroshekhar Ghosh

Determinantal Point Processes (DPPs) have attracted significant interest from the machine-learning community due to their ability to elegantly and tractably model the delicate balance between quality and diversity of sets. DPPs are commonly…

Machine Learning · Computer Science 2019-02-27 Zelda Mariet , Mike Gartrell , Suvrit Sra

Symmetric determinantal point processes (DPP's) are a class of probabilistic models that encode the random selection of items that exhibit a repulsive behavior. They have attracted a lot of attention in machine learning, when returning…

Statistics Theory · Mathematics 2018-11-02 Victor-Emmanuel Brunel

Determinantal point processes (DPPs) have received significant attention as an elegant probabilistic model for discrete subset selection. Most prior work on DPP learning focuses on maximum likelihood estimation (MLE). While efficient and…

Machine Learning · Computer Science 2020-11-20 Lucas Anquetil , Mike Gartrell , Alain Rakotomamonjy , Ugo Tanielian , Clément Calauzènes

To predict a set of diverse and informative proposals with enriched representations, this paper introduces a differentiable Determinantal Point Process (DPP) layer that is able to augment the object detection architectures. Most modern…

Computer Vision and Pattern Recognition · Computer Science 2017-04-13 Samaneh Azadi , Jiashi Feng , Trevor Darrell

In today's information systems, the availability of massive amounts of data necessitates the development of fast and accurate algorithms to summarize these data and represent them in a succinct format. One crucial problem in big data…

Data Structures and Algorithms · Computer Science 2013-12-27 Ahmed K. Farahat , Ahmed Elgohary , Ali Ghodsi , Mohamed S. Kamel

Determinantal point processes (DPPs) have attracted substantial attention as an elegant probabilistic model that captures the balance between quality and diversity within sets. DPPs are conventionally parameterized by a positive…

Machine Learning · Computer Science 2020-11-16 Mike Gartrell , Victor-Emmanuel Brunel , Elvis Dohmatob , Syrine Krichene

The problem of column subset selection asks for a subset of columns from an input matrix such that the matrix can be reconstructed as accurately as possible within the span of the selected columns. A natural extension is to consider a…

Machine Learning · Computer Science 2024-08-13 Antonis Matakos , Bruno Ordozgoiti , Suhas Thejaswi

Determinantal point processes (DPPs) are popular probabilistic models of diversity. In this paper, we investigate DPPs from a new perspective: property testing of distributions. Given sample access to an unknown distribution $q$ over the…

Machine Learning · Computer Science 2020-08-11 Khashayar Gatmiry , Maryam Aliakbarpour , Stefanie Jegelka

The problem of best subset selection in linear regression is considered with the aim to find a fixed size subset of features that best fits the response. This is particularly challenging when the total available number of features is very…

Methodology · Statistics 2023-11-28 Sarat Moka , Benoit Liquet , Houying Zhu , Samuel Muller

We study a mini-batch diversification scheme for stochastic gradient descent (SGD). While classical SGD relies on uniformly sampling data points to form a mini-batch, we propose a non-uniform sampling scheme based on the Determinantal Point…

Machine Learning · Computer Science 2017-09-12 Cheng Zhang , Hedvig Kjellstrom , Stephan Mandt

Determinantal point processes (DPPs) are distributions over sets of items that model diversity using kernels. Their applications in machine learning include summary extraction and recommendation systems. Yet, the cost of sampling from a DPP…

Machine Learning · Statistics 2022-03-22 Guillaume Gautier , Rémi Bardenet , Michal Valko

Column selection is an essential tool for structure-preserving low-rank approximation, with wide-ranging applications across many fields, such as data science, machine learning, and theoretical chemistry. In this work, we develop unified…

Numerical Analysis · Mathematics 2024-08-09 Mark Fornace , Michael Lindsey

This paper discusses the critical decision process of extracting or selecting the features in a supervised learning context. It is often confusing to find a suitable method to reduce dimensionality. There are pros and cons to deciding…

Machine Learning · Computer Science 2022-06-22 Jean-Sébastien Dessureault , Daniel Massicotte

A determinantal point process (DPP) is a random process useful for modeling the combinatorial problem of subset selection. In particular, DPPs encourage a random subset Y to contain a diverse set of items selected from a base set Y. For…

Machine Learning · Computer Science 2012-10-19 Raja Hafiz Affandi , Alex Kulesza , Emily B. Fox