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Related papers: Determinantal Point Processes for Coresets

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Deep learning architectures with a huge number of parameters are often compressed using pruning techniques to ensure computational efficiency of inference during deployment. Despite multitude of empirical advances, there is a lack of…

Machine Learning · Computer Science 2021-06-14 Rupam Acharyya , Ankani Chattoraj , Boyu Zhang , Shouman Das , Daniel Stefankovic

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

We discuss the use of the determinantal point process (DPP) as a prior for latent structure in biomedical applications, where inference often centers on the interpretation of latent features as biologically or clinically meaningful…

Methodology · Statistics 2017-02-28 Yanxun Xu , Peter Mueller , Donatello Telesca

Coresets are arguably the most popular compression paradigm for center-based clustering objectives such as $k$-means. Given a point set $P$, a coreset $\Omega$ is a small, weighted summary that preserves the cost of all candidate solutions…

Data Structures and Algorithms · Computer Science 2024-05-03 Nikhil Bansal , Vincent Cohen-Addad , Milind Prabhu , David Saulpic , Chris Schwiegelshohn

Accurate coresets are a weighted subset of the original dataset, ensuring a model trained on the accurate coreset maintains the same level of accuracy as a model trained on the full dataset. Primarily, these coresets have been studied for a…

Machine Learning · Computer Science 2024-12-31 Sanskar Ranjan , Supratim Shit

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

We develop and analyze a method to reduce the size of a very large set of data points in a high dimensional Euclidean space R d to a small set of weighted points such that the result of a predetermined data analysis task on the reduced set…

Data Structures and Algorithms · Computer Science 2018-07-13 Dan Feldman , Melanie Schmidt , Christian Sohler

Given a set of $n$ vectors in $\mathbb{R}^d$, the goal of the \emph{determinant maximization} problem is to pick $k$ vectors with the maximum volume. Determinant maximization is the MAP-inference task for determinantal point processes (DPP)…

Data Structures and Algorithms · Computer Science 2023-09-28 Siddharth Gollapudi , Sepideh Mahabadi , Varun Sivashankar

We study point processes on $\mathbb S^d$, the $d$-dimensional unit sphere $\mathbb S^d$, considering both the isotropic and the anisotropic case, and focusing mostly on the spherical case $d=2$. The first part studies reduced Palm…

Methodology · Statistics 2016-06-14 Jesper Møller , Ege Rubak

We study the theoretical and practical runtime limits of k-means and k-median clustering on large datasets. Since effectively all clustering methods are slower than the time it takes to read the dataset, the fastest approach is to quickly…

Machine Learning · Computer Science 2024-04-03 Andrew Draganov , David Saulpic , Chris Schwiegelshohn

High-quality training data is essential for building reliable and efficient machine learning systems. One-shot coreset selection addresses this by pruning the dataset while maintaining or even improving model performance, often relying on…

Machine Learning · Computer Science 2025-08-15 Elisa Tsai , Haizhong Zheng , Atul Prakash

We study how to construct compressed datasets that suffice to recover optimal decisions in linear programs with an unknown cost vector $c$ lying in a prior set $\mathcal{C}$. Recent work by Bennouna et al. provides an exact geometric…

Optimization and Control · Mathematics 2026-05-25 Yuhan Ye , Saurabh Amin , Asuman Ozdaglar

Pruning is one of the predominant approaches for compressing deep neural networks (DNNs). Lately, coresets (provable data summarizations) were leveraged for pruning DNNs, adding the advantage of theoretical guarantees on the trade-off…

Machine Learning · Computer Science 2022-09-20 Murad Tukan , Loay Mualem , Alaa Maalouf

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

We present a novel coreset construction algorithm for solving classification tasks using Support Vector Machines (SVMs) in a computationally efficient manner. A coreset is a weighted subset of the original data points that provably…

Data Structures and Algorithms · Computer Science 2017-11-13 Cenk Baykal , Lucas Liebenwein , Wilko Schwarting

We aim to select data subsets for the fine-tuning of large language models to more effectively follow instructions. Prior work has emphasized the importance of diversity in dataset curation but relied on heuristics such as the number of…

Machine Learning · Computer Science 2024-02-07 Peiqi Wang , Yikang Shen , Zhen Guo , Matthew Stallone , Yoon Kim , Polina Golland , Rameswar Panda

A coreset (or core-set) of a dataset is its semantic compression with respect to a set of queries, such that querying the (small) coreset provably yields an approximate answer to querying the original (full) dataset. In the last decade,…

Robotics · Computer Science 2017-12-19 Soliman Nasser , Ibrahim Jubran , Dan Feldman

Deep learning models achieve state-of-the-art performance across domains but face scalability challenges in real-time or resource-constrained scenarios. To address this, we propose Correlation of Loss Differences (CLD), a simple and…

Machine Learning · Computer Science 2025-11-20 Manish Nagaraj , Deepak Ravikumar , Kaushik Roy

Deep learning has grown tremendously over recent years, yielding state-of-the-art results in various fields. However, training such models requires huge amounts of data, increasing the computational time and cost. To address this, dataset…

Machine Learning · Computer Science 2023-07-18 Murad Tukan , Alaa Maalouf , Margarita Osadchy

Coreset selection seeks to choose a subset of crucial training samples for efficient learning. It has gained traction in deep learning, particularly with the surge in training dataset sizes. Sample selection hinges on two main aspects: a…

Machine Learning · Computer Science 2024-03-05 Zhijing Wan , Zhixiang Wang , Yuran Wang , Zheng Wang , Hongyuan Zhu , Shin'ichi Satoh