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Given a fixed $n\times d$ matrix $\mathbf{X}$, where $n\gg d$, we study the complexity of sampling from a distribution over all subsets of rows where the probability of a subset is proportional to the squared volume of the parallelepiped…

Machine Learning · Computer Science 2019-02-25 Michał Dereziński

Determinantal point processes (DPPs) are probability models over subsets of a ground set that favor diverse selections while suppressing redundancy. That is, they tend to assign higher likelihood to collections whose elements complement one…

Optimization and Control · Mathematics 2026-04-13 Mohamad H. Kazma , Ahmad F. Taha

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…

Machine Learning · Statistics 2019-01-09 Zelda Mariet , Yaniv Ovadia , Jasper Snoek

Online feature selection has been an active research area in recent years. We propose a novel diverse online feature selection method based on Determinantal Point Processes (DPP). Our model aims to provide diverse features which can be…

Machine Learning · Statistics 2019-04-26 Chapman Siu , Richard Yi Da Xu

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

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

We present a determinantal point process (DPP) inspired alternative to non-maximum suppression (NMS) which has become an integral step in all state-of-the-art object detection frameworks. DPPs have been shown to encourage diversity in…

Computer Vision and Pattern Recognition · Computer Science 2024-06-21 Samik Some , Mithun Das Gupta , Vinay P. Namboodiri

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

Determinantal consensus clustering is a promising and attractive alternative to partitioning about medoids and k-means for ensemble clustering. Based on a determinantal point process or DPP sampling, it ensures that subsets of similar…

Computation · Statistics 2021-02-09 Serge Vicente , Alejandro Murua

Interactive recommendation that models the explicit interactions between users and the recommender system has attracted a lot of research attentions in recent years. Most previous interactive recommendation systems only focus on optimizing…

Information Retrieval · Computer Science 2019-03-20 Yong Liu , Yinan Zhang , Qiong Wu , Chunyan Miao , Lizhen Cui , Binqiang Zhao , Yin Zhao , Lu Guan

Informative data selection is a key requirement for large language models (LLMs) to minimize the amount of data required for fine-tuning, network distillation, and token pruning, enabling fast and efficient deployment, especially under…

Machine Learning · Computer Science 2026-02-03 Ahmad Sarlak , Abolfazl Razi

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

Determinantal point processes (DPPs) are repulsive point processes where the interaction between points depends on the determinant of a positive-semi definite matrix. The contributions of this paper are two-fold. First of all, we introduce…

Probability · Mathematics 2022-06-01 Simon Barthelmé , Nicolas Tremblay , Konstantin Usevich , Pierre-Olivier Amblard

Recommendation systems often rely on point-wise loss metrics such as the mean squared error. However, in real recommendation settings only few items are presented to a user. This observation has recently encouraged the use of rank-based…

Machine Learning · Computer Science 2015-11-05 Phong Nguyen , Jun Wang , Alexandros Kalousis

Existing MAP inference algorithms for determinantal point processes (DPPs) need to calculate determinants or conduct eigenvalue decomposition generally at the scale of the full kernel, which presents a great challenge for real-world…

Machine Learning · Computer Science 2015-03-24 Jinye Zhang , Zhijian Ou

Subset selection is central to many wireless communication problems, including link scheduling, power allocation, and spectrum management. However, these problems are often NP-complete, because of which heuristic algorithms applied to solve…

Signal Processing · Electrical Eng. & Systems 2025-03-06 Xiangliu Tu , Chiranjib Saha , Harpreet S. Dhillon

Determinantal point processes (DPPs) are specific probability distributions over clouds of points that are used as models and computational tools across physics, probability, statistics, and more recently machine learning. Sampling from…

Machine Learning · Computer Science 2022-03-22 Guillaume Gautier , Guillermo Polito , Rémi Bardenet , Michal Valko

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…

Machine Learning · Statistics 2020-01-07 Nicolas Tremblay , Simon Barthelmé , Pierre-Olivier Amblard

Discrete Determinantal Point Processes (DPPs) have a wide array of potential applications for subsampling datasets. They are however held back in some cases by the high cost of sampling. In the worst-case scenario, the sampling cost scales…

Machine Learning · Computer Science 2023-02-23 Simon Barthelmé , Nicolas Tremblay , Pierre-Olivier Amblard

We propose a novel diverse feature selection method based on determinantal point processes (DPPs). Our model enables one to flexibly define diversity based on the covariance of features (similar to orthogonal matching pursuit) or…

Machine Learning · Computer Science 2014-11-25 Nematollah Kayhan Batmanghelich , Gerald Quon , Alex Kulesza , Manolis Kellis , Polina Golland , Luke Bornn