English
Related papers

Related papers: Optimized Algorithms to Sample Determinantal Point…

200 papers

Determinantal Point Processes (DPPs) are probabilistic models that arise in quantum physics and random matrix theory and have recently found numerous applications in computer science. DPPs define distributions over subsets of a given ground…

Data Structures and Algorithms · Computer Science 2017-04-25 L. Elisa Celis , Amit Deshpande , Tarun Kathuria , Damian Straszak , Nisheeth K. Vishnoi

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

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

Determinantal point processes (DPPs) have attracted significant attention in machine learning for their ability to model subsets drawn from a large item collection. Recent work shows that nonsymmetric DPP (NDPP) kernels have significant…

Machine Learning · Computer Science 2021-04-14 Mike Gartrell , Insu Han , Elvis Dohmatob , Jennifer Gillenwater , Victor-Emmanuel Brunel

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…

Machine Learning · Computer Science 2021-11-30 Michaël Fanuel , Rémi Bardenet

Random restart of a given algorithm produces many partitions to yield a consensus clustering. Ensemble methods such as consensus clustering have been recognized as more robust approaches for data clustering than single clustering…

Machine Learning · Statistics 2021-02-09 Serge Vicente , Alejandro Murua

Often we consider machine learning models or statistical analysis methods which we endeavour to alter, by introducing a randomized mechanism, to make the model conform to a differential privacy constraint. However, certain models can often…

Machine Learning · Computer Science 2024-05-24 Jack Fitzsimons , Agustín Freitas Pasqualini , Robert Pisarczyk , Dmitrii Usynin

Determinantal point processes (DPPs) have attracted significant attention as an elegant model that is able to capture the balance between quality and diversity within sets. DPPs are parameterized by a positive semi-definite kernel matrix.…

Machine Learning · Statistics 2019-05-30 Mike Gartrell , Elvis Dohmatob , Jon Alberdi

Sequential recommendation is a popular task in academic research and close to real-world application scenarios, where the goal is to predict the next action(s) of the user based on his/her previous sequence of actions. In the training…

Information Retrieval · Computer Science 2022-04-26 Yuli Liu , Christian Walder , Lexing Xie

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

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…

Statistics Theory · Mathematics 2016-04-28 Frédéric Lavancier , Jesper Møller , Ege Rubak

Generative models have proven to be an outstanding tool for representing high-dimensional probability distributions and generating realistic-looking images. An essential characteristic of generative models is their ability to produce…

Machine Learning · Computer Science 2019-11-26 Mohamed Elfeki , Camille Couprie , Morgane Riviere , Mohamed Elhoseiny

Driven by the need for parallelizable hyperparameter optimization methods, this paper studies \emph{open loop} search methods: sequences that are predetermined and can be generated before a single configuration is evaluated. Examples…

Machine Learning · Statistics 2019-05-10 Jesse Dodge , Kevin Jamieson , Noah A. Smith

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

Determinantal Point Processes (DPPs) are popular models for point processes with repulsion. They appear in numerous contexts, from physics to graph theory, and display appealing theoretical properties. On the more practical side of things,…

Statistics Theory · Mathematics 2018-08-22 Simon Barthelmé , Pierre-Olivier Amblard , Nicolas Tremblay

Stochastic gradient descent (SGD) is a cornerstone of machine learning. When the number N of data items is large, SGD relies on constructing an unbiased estimator of the gradient of the empirical risk using a small subset of the original…

Machine Learning · Statistics 2021-12-14 Remi Bardenet , Subhro Ghosh , Meixia Lin

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

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

Dimensionality reduction is a first step of many machine learning pipelines. Two popular approaches are principal component analysis, which projects onto a small number of well chosen but non-interpretable directions, and feature selection,…

Machine Learning · Statistics 2018-12-27 Ayoub Belhadji , Rémi Bardenet , Pierre Chainais

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