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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…

机器学习 · 计算机科学 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,…

机器学习 · 统计学 2018-12-27 Ayoub Belhadji , Rémi Bardenet , Pierre Chainais

Randomized Numerical Linear Algebra (RandNLA) uses randomness to develop improved algorithms for matrix problems that arise in scientific computing, data science, machine learning, etc. Determinantal Point Processes (DPPs), a seemingly…

数据结构与算法 · 计算机科学 2020-05-08 Michał Dereziński , Michael W. Mahoney

In some practical learning tasks, such as traffic video analysis, the number of available training samples is restricted by different factors, such as limited communication bandwidth and computation power. Determinantal Point Process (DPP)…

机器学习 · 计算机科学 2023-08-17 Xiwen Chen , Huayu Li , Rahul Amin , Abolfazl Razi

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

Understanding how subsets of items are chosen from offered sets is critical to assortment planning, wireless network planning, and many other applications. There are two seemingly unrelated subset choice models that capture dependencies…

机器学习 · 计算机科学 2023-02-23 Sander Aarts , David B. Shmoys , Alex Coy

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) 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) 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…

机器学习 · 计算机科学 2019-02-27 Zelda Mariet , Mike Gartrell , Suvrit Sra

We propose a new class of determinantal point processes (DPPs) which can be manipulated for inference and parameter learning in potentially sublinear time in the number of items. This class, based on a specific low-rank factorization of the…

机器学习 · 统计学 2016-10-20 Christophe Dupuy , Francis Bach

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) 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) 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

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

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…

统计计算 · 统计学 2018-02-26 Nicolas Tremblay , Simon Barthelme , Pierre-Olivier Amblard

A choice of optimization objective is immensely pivotal in the design of a recommender system as it affects the general modeling process of a user's intent from previous interactions. Existing approaches mainly adhere to three categories of…

机器学习 · 计算机科学 2024-08-02 Hyunsoo Chung , Jungtaek Kim , Hyungeun Jo , Hyungwon Choi

Determinantal Point Processes (DPPs) are probabilistic models over all subsets a ground set of $N$ items. They have recently gained prominence in several applications that rely on "diverse" subsets. However, their applicability to large…

机器学习 · 计算机科学 2016-05-27 Zelda Mariet , Suvrit Sra

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…

信号处理 · 电气工程与系统科学 2025-03-06 Xiangliu Tu , Chiranjib Saha , Harpreet S. Dhillon

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…

计算机视觉与模式识别 · 计算机科学 2017-04-13 Samaneh Azadi , Jiashi Feng , Trevor Darrell

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…

机器学习 · 计算机科学 2019-02-25 Michał Dereziński