Importance Sampling for Minibatches
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Abstract (arXiv)
Minibatching is a very well studied and highly popular technique in supervised learning, used by practitioners due to its ability to accelerate training through better utilization of parallel processing power and reduction of stochastic variance. Another popular technique is importance sampling -- a strategy for preferential sampling of more important examples also capable of accelerating the training process. However, despite considerable effort by the community in these areas, and due to the inherent technical difficulty of the problem, there is no existing work combining the power of importance sampling with the strength of minibatching. In this paper we propose the first em importance sampling for minibatches and give simple and rigorous complexity analysis of its performance. We illustrate on synthetic problems that for training data of certain properties, our sampling can lead to several orders of magnitude improvement in training time. We then test the new sampling on several popular datasets, and show that the improvement can reach an order of magnitude.
Key facts. Cited by 36 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Feb 2016.
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Citing papers per year: 2021: 9; 2022: 6; 2023: 4; 2024: 4; 2025: 9; 2026: 4.
36 papers.
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- 2023InfoBatch: Lossless Training Speed Up by Unbiased Dynamic Data Pruningcited by 90
- 2021Online Continual Learning on Class Incremental Blurry Task Configuration with Anytime Inferencecited by 66
- 2022Stop Wasting My Time! Saving Days of ImageNet and BERT Training with Latest Weight Averagingcited by 54
- 2022Variance Reduced ProxSkip: Algorithm, Theory and Application to Federated Learningcited by 33
- 2025A Coreset Selection of Coreset Selection Literature: Introduction and Recent Advancescited by 28
- 2021Reweighting Augmented Samples by Minimizing the Maximal Expected Losscited by 21
- 2022Amortized Variational Inference: A Systematic Reviewcited by 16
- 2021Variance Reduced Training with Stratified Sampling for Forecasting Modelscited by 13
- 2021Adaptive Importance Sampling meets Mirror Descent: a Bias-variance tradeoffcited by 13
- 2022DPIS: An Enhanced Mechanism for Differentially Private SGD with Importance Samplingcited by 13
- 2023Linear Convergence of Black-Box Variational Inference: Should We Stick the Landing?cited by 10
- 2021Adaptive Importance Sampling for Finite-Sum Optimization and Sampling with Decreasing Step-Sizescited by 9
24 more
- 2021A General Theory for Client Sampling in Federated Learningcited by 8
- 2021Stochastic Reweighted Gradient Descentcited by 7
- 2021Uniform Sampling over Episode Difficultycited by 6
- 2021Adaptive Client Sampling in Federated Learning via Online Learning with Bandit Feedbackcited by 6
- 2023Towards a Better Theoretical Understanding of Independent Subnetwork Trainingcited by 6
- 2024The Entrapment Problem in Random Walk Decentralized Learningcited by 4
- 2024Parallel Momentum Methods Under Biased Gradient Estimationscited by 2
- 2025Deep Neural Networks Inspired by Differential Equationscited by 2
- 2022Modelling calibration uncertainty in networks of environmental sensorscited by 1
- 2026Training Memory in Deep Neural Networks: Mechanisms, Evidence, and Measurement Gapscited by 1
- 2022Tricks and Plugins to GBM on Images and Sequencescited by 0
- 2023A Negative Result on Gradient Matching for Selective Backpropcited by 0
- 2024Unsupervised Federated Optimization at the Edge: D2D-Enabled Learning without Labelscited by 0
- 2024Grad Queue : A probabilistic framework to reinforce sparse gradientscited by 0
- 2025Multi-Timescale Primal Dual Hybrid Gradient with Application to Distributed Optimizationcited by 0
- 2025Efficient Training of Deep Networks using Guided Spectral Data Selection: A Step Toward Learning What You Needcited by 0
- 2025Tricks and Plug-ins for Gradient Boosting in Image Classificationcited by 0
- 2025Tricks and Plug-ins for Gradient Boosting with Transformerscited by 0
- 2025HyperCore: Coreset Selection under Noise via Hypersphere Modelscited by 0
- 2025SubZeroCore: A Submodular Approach with Zero Training for Coreset Selectioncited by 0
- 2025The Interplay of Statistics and Noisy Optimization: Learning Linear Predictors with Random Data Weightscited by 0
- 2026Decentralized Learning via Random Walk with Jumpscited by 0
- 2026Disagreement-Regularized Importance Sampling for Adversarial Label Corruptioncited by 0
- 2026Bayesian Tensor Autoencoder with Physics-informed Predictive Prior for Multi-dimensional Time Series Anomaly Detectioncited by 0
- 2026Bayesian Tensor Autoencoder with Physics-informed Predictive Prior for Multi-dimensional Time Series Anomaly Detection25 Sep 2026
- 2026Disagreement-Regularized Importance Sampling for Adversarial Label Corruption8 May 2026
- 2026Decentralized Learning via Random Walk with Jumps14 Apr 2026
- 2026Training Memory in Deep Neural Networks: Mechanisms, Evidence, and Measurement Gaps29 Jan 2026
- 2025The Interplay of Statistics and Noisy Optimization: Learning Linear Predictors with Random Data Weights11 Dec 2025
- 2025Deep Neural Networks Inspired by Differential Equations9 Oct 2025
- 2025SubZeroCore: A Submodular Approach with Zero Training for Coreset Selection26 Sep 2025
- 2025HyperCore: Coreset Selection under Noise via Hypersphere Models26 Sep 2025
- 2025Tricks and Plug-ins for Gradient Boosting with Transformers4 Aug 2025
- 2025Tricks and Plug-ins for Gradient Boosting in Image Classification30 Jul 2025
- 2025Efficient Training of Deep Networks using Guided Spectral Data Selection: A Step Toward Learning What You Need6 Jul 2025
- 2025Multi-Timescale Primal Dual Hybrid Gradient with Application to Distributed Optimization18 Jun 2025
24 more
- 2025A Coreset Selection of Coreset Selection Literature: Introduction and Recent Advances23 May 2025
- 2024The Entrapment Problem in Random Walk Decentralized Learning30 Jul 2024
- 2024Grad Queue : A probabilistic framework to reinforce sparse gradients25 Apr 2024
- 2024Unsupervised Federated Optimization at the Edge: D2D-Enabled Learning without Labels15 Apr 2024
- 2024Parallel Momentum Methods Under Biased Gradient Estimations29 Feb 2024
- 2023A Negative Result on Gradient Matching for Selective Backprop8 Dec 2023
- 2023Linear Convergence of Black-Box Variational Inference: Should We Stick the Landing?27 Jul 2023
- 2023Towards a Better Theoretical Understanding of Independent Subnetwork Training28 Jun 2023
- 2023InfoBatch: Lossless Training Speed Up by Unbiased Dynamic Data Pruning8 Mar 2023
- 2022DPIS: An Enhanced Mechanism for Differentially Private SGD with Importance Sampling18 Oct 2022
- 2022Stop Wasting My Time! Saving Days of ImageNet and BERT Training with Latest Weight Averaging29 Sep 2022
- 2022Amortized Variational Inference: A Systematic Review22 Sep 2022
- 2022Variance Reduced ProxSkip: Algorithm, Theory and Application to Federated Learning9 Jul 2022
- 2022Modelling calibration uncertainty in networks of environmental sensors4 May 2022
- 2022Tricks and Plugins to GBM on Images and Sequences1 Mar 2022
- 2021Adaptive Client Sampling in Federated Learning via Online Learning with Bandit Feedback28 Dec 2021
- 2021Adaptive Importance Sampling meets Mirror Descent: a Bias-variance tradeoff29 Oct 2021
- 2021Online Continual Learning on Class Incremental Blurry Task Configuration with Anytime Inference19 Oct 2021
- 2021Uniform Sampling over Episode Difficulty3 Aug 2021
- 2021A General Theory for Client Sampling in Federated Learning26 Jul 2021
- 2021Stochastic Reweighted Gradient Descent23 Mar 2021
- 2021Adaptive Importance Sampling for Finite-Sum Optimization and Sampling with Decreasing Step-Sizes23 Mar 2021
- 2021Reweighting Augmented Samples by Minimizing the Maximal Expected Loss16 Mar 2021
- 2021Variance Reduced Training with Stratified Sampling for Forecasting Models2 Mar 2021
- 2023InfoBatch: Lossless Training Speed Up by Unbiased Dynamic Data Pruningcited by 90
- 2021Online Continual Learning on Class Incremental Blurry Task Configuration with Anytime Inferencecited by 66
- 2022Stop Wasting My Time! Saving Days of ImageNet and BERT Training with Latest Weight Averagingcited by 54
- 2022Variance Reduced ProxSkip: Algorithm, Theory and Application to Federated Learningcited by 33
- 2025A Coreset Selection of Coreset Selection Literature: Introduction and Recent Advancescited by 28
- 2021Reweighting Augmented Samples by Minimizing the Maximal Expected Losscited by 21
- 2022Amortized Variational Inference: A Systematic Reviewcited by 16
- 2021Variance Reduced Training with Stratified Sampling for Forecasting Modelscited by 13
- 2021Adaptive Importance Sampling meets Mirror Descent: a Bias-variance tradeoffcited by 13
- 2022DPIS: An Enhanced Mechanism for Differentially Private SGD with Importance Samplingcited by 13
- 2023Linear Convergence of Black-Box Variational Inference: Should We Stick the Landing?cited by 10
- 2021Adaptive Importance Sampling for Finite-Sum Optimization and Sampling with Decreasing Step-Sizescited by 9
12 most cited of 36 All 36 (JSON)
- 2026Bayesian Tensor Autoencoder with Physics-informed Predictive Prior for Multi-dimensional Time Series Anomaly Detection25 Sep 2026
- 2026Disagreement-Regularized Importance Sampling for Adversarial Label Corruption8 May 2026
- 2026Decentralized Learning via Random Walk with Jumps14 Apr 2026
- 2026Training Memory in Deep Neural Networks: Mechanisms, Evidence, and Measurement Gaps29 Jan 2026
- 2025The Interplay of Statistics and Noisy Optimization: Learning Linear Predictors with Random Data Weights11 Dec 2025
- 2025Deep Neural Networks Inspired by Differential Equations9 Oct 2025
- 2025SubZeroCore: A Submodular Approach with Zero Training for Coreset Selection26 Sep 2025
- 2025HyperCore: Coreset Selection under Noise via Hypersphere Models26 Sep 2025
- 2025Tricks and Plug-ins for Gradient Boosting with Transformers4 Aug 2025
- 2025Tricks and Plug-ins for Gradient Boosting in Image Classification30 Jul 2025
- 2025Efficient Training of Deep Networks using Guided Spectral Data Selection: A Step Toward Learning What You Need6 Jul 2025
- 2025Multi-Timescale Primal Dual Hybrid Gradient with Application to Distributed Optimization18 Jun 2025
12 newest of 36 All 36 (JSON)