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Continuous determinantal point processes (DPPs) are a class of repulsive point processes on $\mathbb{R}^d$ with many statistical applications. Although an explicit expression of their density is known, it is too complicated to be used…

统计理论 · 数学 2022-01-24 Arnaud Poinas , Frédéric Lavancier

Determinantal point processes (DPPs) are elegant probabilistic models of repulsion that arise in quantum physics and random matrix theory. In contrast to traditional structured models like Markov random fields, which become intractable and…

机器学习 · 统计学 2013-01-11 Alex Kulesza , Ben Taskar

Determinantal Point Processes (DPPs) are elegant probabilistic models of repulsion and diversity over discrete sets of items. But their applicability to large sets is hindered by expensive cubic-complexity matrix operations for basic tasks…

机器学习 · 计算机科学 2016-05-31 Chengtao Li , Stefanie Jegelka , Suvrit Sra

Determinantal point processes (DPPs for short) are a class of repulsive point processes. They have found some statistical applications to model spatial point pattern datasets with repulsion between close points. In the case of DPPs on…

统计理论 · 数学 2025-07-28 Poinas Arnaud

Determinantal Point Processes (DPPs) provide an elegant and versatile way to sample sets of items that balance the point-wise quality with the set-wise diversity of selected items. For this reason, they have gained prominence in many…

机器学习 · 统计学 2019-01-09 Zelda Mariet , Yaniv Ovadia , Jasper Snoek

Determinantal point processes (DPPs) are random point processes well-suited for modeling repulsion. In machine learning, the focus of DPP-based models has been on diverse subset selection from a discrete and finite base set. This discrete…

机器学习 · 统计学 2013-11-14 Raja Hafiz Affandi , Emily B. Fox , Ben Taskar

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…

机器学习 · 计算机科学 2020-11-16 Mike Gartrell , Victor-Emmanuel Brunel , Elvis Dohmatob , Syrine Krichene

Determinantal point processes (DPPs) are probabilistic models for repulsion. When used to represent the occurrence of random subsets of a finite base set, DPPs allow to model global negative associations in a mathematically elegant and…

统计理论 · 数学 2019-01-29 Kayvan Sadeghi , Alessandro Rinaldo

A determinantal point process (DPP) is an elegant model that assigns a probability to every subset of a collection of $n$ items. While conventionally a DPP is parameterized by a symmetric kernel matrix, removing this symmetry constraint,…

机器学习 · 计算机科学 2022-07-04 Insu Han , Mike Gartrell , Elvis Dohmatob , Amin Karbasi

Determinantal point processes (DPPs) are well known models for diverse subset selection problems, including recommendation tasks, document summarization and image search. In this paper, we discuss a greedy deterministic adaptation of k-DPP.…

机器学习 · 计算机科学 2021-05-31 Joachim Schreurs , Michaël Fanuel , Johan A. K. Suykens

Determinantal Point Processes (DPPs) are a family of probabilistic models that have a repulsive behavior, and lend themselves naturally to many tasks in machine learning where returning a diverse set of objects is important. While there are…

统计理论 · 数学 2017-03-03 John Urschel , Victor-Emmanuel Brunel , Ankur Moitra , Philippe Rigollet

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…

机器学习 · 统计学 2021-02-24 Claire Launay , Bruno Galerne , Agnès Desolneux

Determinantal Point Process (DPPs) are statistical models for repulsive point patterns. Both sampling and inference are tractable for DPPs, a rare feature among models with negative dependence that explains their popularity in machine…

机器学习 · 计算机科学 2021-11-30 Michaël Fanuel , Rémi Bardenet

Determinantal point processes (DPPs) are point process models that naturally encode diversity between the points of a given realization, through a positive definite kernel $K$. DPPs possess desirable properties, such as exact sampling or…

统计计算 · 统计学 2015-07-07 Rémi Bardenet , Michalis K. Titsias

Determinantal point processes (DPPs) offer an elegant tool for encoding probabilities over subsets of a ground set. Discrete DPPs are parametrized by a positive semidefinite matrix (called the DPP kernel), and estimating this kernel is key…

机器学习 · 计算机科学 2015-10-12 Zelda Mariet , Suvrit Sra

Statistical models and methods for determinantal point processes (DPPs) seem largely unexplored. We demonstrate that DPPs provide useful models for the description of spatial point pattern datasets where nearby points repel each other. Such…

统计理论 · 数学 2016-04-28 Frédéric Lavancier , Jesper Møller , Ege Rubak

Determinantal point processes (DPPs) are an important concept in random matrix theory and combinatorics. They have also recently attracted interest in the study of numerical methods for machine learning, as they offer an elegant "missing…

机器学习 · 计算机科学 2018-04-18 Philipp Hennig , Roman Garnett

When faced with a data set too large to be processed all at once, an obvious solution is to retain only part of it. In practice this takes a wide variety of different forms, and among them "coresets" are especially appealing. A coreset is a…

机器学习 · 统计学 2020-01-07 Nicolas Tremblay , Simon Barthelmé , Pierre-Olivier Amblard

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…

机器学习 · 计算机科学 2012-10-19 Raja Hafiz Affandi , Alex Kulesza , Emily B. Fox

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…

统计理论 · 数学 2018-11-02 Victor-Emmanuel Brunel
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