Coresets and Sketches
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Abstract (arXiv)
Geometric data summarization has become an essential tool in both geometric approximation algorithms and where geometry intersects with big data problems. In linear or near-linear time large data sets can be compressed into a summary, and then more intricate algorithms can be run on the summaries whose results approximate those of the full data set. Coresets and sketches are the two most important classes of these summaries. We survey five types of coresets and sketches: shape-fitting, density estimation, high-dimensional vectors, high-dimensional point sets / matrices, and clustering.
Key facts. Cited by 63 papers in the map (data through 7 Oct 2026). First posted on arXiv 4 Jan 2016.
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Citing papers per year: 2021: 8; 2022: 10; 2023: 11; 2024: 11; 2025: 11; 2026: 12.
63 papers.
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- 2024LESS: Selecting Influential Data for Targeted Instruction Tuningcited by 514
- 2023SemDeDup: Data-efficient learning at web-scale through semantic deduplicationcited by 295
- 2022Dataset Condensation via Efficient Synthetic-Data Parameterizationcited by 187
- 2023Skill-it! A Data-Driven Skills Framework for Understanding and Training Language Modelscited by 120
- 2022Efficient Dataset Distillation Using Random Feature Approximationcited by 111
- 2024DsDm: Model-Aware Dataset Selection with Datamodelscited by 103
- 2024How to Train Data-Efficient LLMscited by 91
- 2022Dataset Condensation with Latent Space Knowledge Factorization and Sharingcited by 34
- 2022Pruning Neural Networks via Coresets and Convex Geometry: Towards No Assumptionscited by 20
- 2021Oblivious sketching for logistic regressioncited by 18
- 2021A Unified Approach to Coreset Learningcited by 18
- 2022Coresets for Vertical Federated Learning: Regularized Linear Regression and K-Means Clusteringcited by 14
38 more
- 2025FisherSFT: Data-Efficient Supervised Fine-Tuning of Language Models Using Information Gaincited by 14
- 2022p-Generalized Probit Regression and Scalable Maximum Likelihood Estimation via Sketching and Coresetscited by 11
- 2024FairDeDup: Detecting and Mitigating Vision-Language Fairness Disparities in Semantic Dataset Deduplicationcited by 11
- 2021Coresets for Decision Trees of Signalscited by 10
- 2023Preemptively Pruning Clever-Hans Strategies in Deep Neural Networkscited by 9
- 2024In2Core: Leveraging Influence Functions for Coreset Selection in Instruction Finetuning of Large Language Modelscited by 9
- 2021Coresets for Time Series Clusteringcited by 8
- 2023Almost Linear Constant-Factor Sketching for ℓ1 and Logistic Regressioncited by 8
- 2023Federated Wasserstein Distancecited by 8
- 2021A Novel Sequential Coreset Method for Gradient Descent Algorithmscited by 7
- 2022Coresets for Data Discretization and Sine Wave Fittingcited by 6
- 2022Obstacle Aware Sampling for Path Planningcited by 6
- 2021Introduction to Coresets: Approximated Meancited by 5
- 2023Deep Active Learning in the Presence of Label Noise: A Surveycited by 5
- 2023AutoCoreset: An Automatic Practical Coreset Construction Frameworkcited by 4
- 2024No Dimensional Sampling Coresets for Classificationcited by 4
- 2024Dataset Distillation for Histopathology Image Classificationcited by 4
- 2024Turnstile ℓp leverage score sampling with applicationscited by 3
- 2024Supervised Kernel Thinningcited by 3
- 2025Core-Set Selection for Data-efficient Land Cover Segmentationcited by 3
- 2021Sketching Merge Trees for Scientific Data Visualizationcited by 2
- 2021NNK-Means: Data summarization using dictionary learning with non-negative kernel regressioncited by 2
- 2024Error-driven Data-efficient Large Multimodal Model Tuningcited by 2
- 2025Provably faster randomized and quantum algorithms for k-means clustering via uniform samplingcited by 2
- 2025Improved Learning via k-DTW: A Novel Dissimilarity Measure for Curvescited by 2
- 2026Efficient Test-Time Finetuning of LLMs via Convex Reconstruction and Gradient Cachingcited by 2
- 2026Exact Risk Ratios for Weighted Data Selection in Linear Regressioncited by 2
- 2022Coresets for Relational Data and The Applicationscited by 1
- 2023A Markovian Formalism for Active Queryingcited by 1
- 2023Adaptive Sampling for Deep Learning via Efficient Nonparametric Proxiescited by 1
- 2024Data subsampling for Poisson regression with pth-root-linkcited by 1
- 2025Instance Data Condensation for Image Super-Resolutioncited by 1
- 2025Advancing Complex Wide-Area Scene Understanding with Hierarchical Coresets Selectioncited by 1
- 2025Investigating Data Pruning for Pretraining Biological Foundation Models at Scalecited by 1
- 2025Alchemist: Unlocking Efficiency in Text-to-Image Model Training via Meta-Gradient Data Selectioncited by 1
- 2026Labeled TrustSet Guided: Batch Active Learning with Reinforcement Learningcited by 1
- 2026Distill on a Diet: Efficient Knowledge Distillation via Learnable Data Pruningcited by 1
- 2026Provable Pruning for Efficient 3D Gaussian Splatting via Coresetscited by 1
50 most cited of 63 All 63 (JSON)
- 2026Exact Risk Ratios for Weighted Data Selection in Linear Regression28 Aug 2026
- 2026Provable Pruning for Efficient 3D Gaussian Splatting via Coresets2 Jul 2026
- 2026Distill on a Diet: Efficient Knowledge Distillation via Learnable Data Pruning24 Jun 2026
- 2026Active Learning with Low-Rank Structure for Data Selection14 Jun 2026
- 2026Data-efficient flood depth prediction through domain-aware coreset selection and tabular foundation models3 Jun 2026
- 2026TimeBlocks: Foundational and Continual Time-Series Blockbase -- Extended Version1 Jun 2026
- 2026Efficient Test-Time Finetuning of LLMs via Convex Reconstruction and Gradient Caching28 May 2026
- 2026Cumulative Meta-Learning from Active Learning Queries for Robustness to Spurious Correlations20 May 2026
- 2026TabKDE: Simple and Scalable Tabular Data Generation with Kernel Density Estimates17 May 2026
- 2026Are Candidate Models Really Needed for Active Learning?14 May 2026
- 2026Labeled TrustSet Guided: Batch Active Learning with Reinforcement Learning14 Apr 2026
- 2026Scalable Learning of Multivariate Distributions via Coresets20 Mar 2026
38 more
- 2025Alchemist: Unlocking Efficiency in Text-to-Image Model Training via Meta-Gradient Data Selection18 Dec 2025
- 2025Investigating Data Pruning for Pretraining Biological Foundation Models at Scale15 Dec 2025
- 2025An Empirical Study of Sample Selection Strategies for Large Language Model Repair23 Oct 2025
- 2025Dataset Distillation for Super-Resolution without Class Labels and Pre-trained Models18 Sep 2025
- 2025Advancing Complex Wide-Area Scene Understanding with Hierarchical Coresets Selection17 Jul 2025
- 2025Monotone Classification with Relative Approximations12 Jun 2025
- 2025Improved Learning via k-DTW: A Novel Dissimilarity Measure for Curves29 May 2025
- 2025Instance Data Condensation for Image Super-Resolution27 May 2025
- 2025FisherSFT: Data-Efficient Supervised Fine-Tuning of Language Models Using Information Gain20 May 2025
- 2025Core-Set Selection for Data-efficient Land Cover Segmentation2 May 2025
- 2025Provably faster randomized and quantum algorithms for k-means clustering via uniform sampling29 Apr 2025
- 2024Error-driven Data-efficient Large Multimodal Model Tuning20 Dec 2024
- 2024Data subsampling for Poisson regression with pth-root-link30 Oct 2024
- 2024Supervised Kernel Thinning17 Oct 2024
- 2024Dataset Distillation for Histopathology Image Classification19 Aug 2024
- 2024In2Core: Leveraging Influence Functions for Coreset Selection in Instruction Finetuning of Large Language Models7 Aug 2024
- 2024Turnstile ℓp leverage score sampling with applications1 Jun 2024
- 2024FairDeDup: Detecting and Mitigating Vision-Language Fairness Disparities in Semantic Dataset Deduplication24 Apr 2024
- 2024How to Train Data-Efficient LLMs15 Feb 2024
- 2024No Dimensional Sampling Coresets for Classification7 Feb 2024
- 2024LESS: Selecting Influential Data for Targeted Instruction Tuning6 Feb 2024
- 2024DsDm: Model-Aware Dataset Selection with Datamodels23 Jan 2024
- 2023Adaptive Sampling for Deep Learning via Efficient Nonparametric Proxies22 Nov 2023
- 2023Federated Wasserstein Distance3 Oct 2023
- 2023Training Quantum Boltzmann Machines with Coresets26 Jul 2023
- 2023Skill-it! A Data-Driven Skills Framework for Understanding and Training Language Models26 Jul 2023
- 2023A Markovian Formalism for Active Querying13 Jun 2023
- 2023AutoCoreset: An Automatic Practical Coreset Construction Framework19 May 2023
- 2023Preemptively Pruning Clever-Hans Strategies in Deep Neural Networks12 Apr 2023
- 2023Almost Linear Constant-Factor Sketching for ℓ1 and Logistic Regression31 Mar 2023
- 2023SemDeDup: Data-efficient learning at web-scale through semantic deduplication16 Mar 2023
- 2023Deep Active Learning in the Presence of Label Noise: A Survey22 Feb 2023
- 2023Sublinear Time Algorithms for Several Geometric Optimization (With Outliers) Problems In Machine Learning7 Jan 2023
- 2022Coresets for Vertical Federated Learning: Regularized Linear Regression and K-Means Clustering26 Oct 2022
- 2022Efficient Dataset Distillation Using Random Feature Approximation21 Oct 2022
- 2022Coresets for Relational Data and The Applications9 Oct 2022
- 2022Pruning Neural Networks via Coresets and Convex Geometry: Towards No Assumptions18 Sep 2022
- 2022Dataset Condensation with Latent Space Knowledge Factorization and Sharing21 Aug 2022
50 newest of 63 All 63 (JSON)
- 2024LESS: Selecting Influential Data for Targeted Instruction Tuningcited by 514
- 2023SemDeDup: Data-efficient learning at web-scale through semantic deduplicationcited by 295
- 2022Dataset Condensation via Efficient Synthetic-Data Parameterizationcited by 187
- 2023Skill-it! A Data-Driven Skills Framework for Understanding and Training Language Modelscited by 120
- 2022Efficient Dataset Distillation Using Random Feature Approximationcited by 111
- 2024DsDm: Model-Aware Dataset Selection with Datamodelscited by 103
- 2024How to Train Data-Efficient LLMscited by 91
- 2022Dataset Condensation with Latent Space Knowledge Factorization and Sharingcited by 34
- 2022Pruning Neural Networks via Coresets and Convex Geometry: Towards No Assumptionscited by 20
- 2021Oblivious sketching for logistic regressioncited by 18
- 2021A Unified Approach to Coreset Learningcited by 18
- 2022Coresets for Vertical Federated Learning: Regularized Linear Regression and K-Means Clusteringcited by 14
12 most cited of 59 All 59 (JSON)
- 2026Exact Risk Ratios for Weighted Data Selection in Linear Regression28 Aug 2026
- 2026Provable Pruning for Efficient 3D Gaussian Splatting via Coresets2 Jul 2026
- 2026Distill on a Diet: Efficient Knowledge Distillation via Learnable Data Pruning24 Jun 2026
- 2026Active Learning with Low-Rank Structure for Data Selection14 Jun 2026
- 2026Data-efficient flood depth prediction through domain-aware coreset selection and tabular foundation models3 Jun 2026
- 2026TimeBlocks: Foundational and Continual Time-Series Blockbase -- Extended Version1 Jun 2026
- 2026Efficient Test-Time Finetuning of LLMs via Convex Reconstruction and Gradient Caching28 May 2026
- 2026Cumulative Meta-Learning from Active Learning Queries for Robustness to Spurious Correlations20 May 2026
- 2026TabKDE: Simple and Scalable Tabular Data Generation with Kernel Density Estimates17 May 2026
- 2026Are Candidate Models Really Needed for Active Learning?14 May 2026
- 2026Labeled TrustSet Guided: Batch Active Learning with Reinforcement Learning14 Apr 2026
- 2026Scalable Learning of Multivariate Distributions via Coresets20 Mar 2026
12 newest of 59 All 59 (JSON)