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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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48 results for large-batch

Distributed implementations of mini-batch stochastic gradient descent (SGD) suffer from communication overheads, attributed to the high frequency of gradient updates inherent in small-batch training. Training with large batches can reduce these overheads; however, large batches can affect the convergence properties and…

2018-06-11abs ↗pdf ↗

Large batch sizes reduce gradient variance in DP-SGD, improving privacy.

problem Understanding why large batch sizes work in DP-SGD.
method Decomposed total gradient variance into subsampling and noise-induced variances, proving batch size independence in the limit.
result Large batch sizes reduce effective total gradient variance, improving privacy in DP-SGD.

The study improves generalization in large-batch training by adding structured covariance noise to gradients.

problem Improving generalization in large-batch training while maintaining optimal convergence.
method Adding covariance noise to the gradients to improve generalization performance.
result The method improves generalization performance without degrading optimization performance and training duration.

Large-batch training approaches have enabled researchers to utilize large-scale distributed processing and greatly accelerate deep-neural net (DNN) training. For example, by scaling the batch size from 256 to 32K, researchers have been able to reduce the training time of ResNet50 on ImageNet from 29 hours to 2.2 minute…

2019-01-24abs ↗pdf ↗

New attack recovers user-level information from large batch images.

problem Recovering private information from user-level gradients in distributed learning.
method Proposes a gradient inversion attack using a denoising diffusion model as a prior.
result Demonstrates recovery of realistic facial images and private attributes.

GNC smooths loss function for large-batch SGD, improving generalization.

problem Extremely large-batch SGD leads to poor generalization and converges to sharp minima.
method Gradient noise convolution (GNC) smooths loss function by convolving gradient noise with the loss function.
result GNC achieves state-of-the-art generalization performance for large-scale deep neural networks.

Standard optimizers perform as well as LARS and LAMB at large batch sizes.

problem Comparing optimizers for neural network training at large batch sizes.
method Used standard optimizers like Nesterov momentum and Adam to match or exceed LARS and LAMB results.
result Standard optimizers can match or exceed LARS and LAMB at large batch sizes.

Large batch training with DP-SGD reduces model performance due to implicit bias.

problem Large batch training with DP-SGD reduces model performance.
method The study analyzes the phenomenon of implicit bias in Noisy-SGD (DP-SGD without clipping) and its theoretical solutions for linear models.
result The implicit bias in large batch training with DP-SGD is amplified by additional noise, similar to SGD.

AdaScale SGD adapts learning rates for large-batch training efficiently.

problem Adapting learning rates for large-batch training to balance speed-ups and model quality.
method Adaptive learning rate adaptation based on gradient variance.
result AdaScale achieves reliable speed-ups for a wide range of batch sizes without degrading model quality.

LSAM optimizes deep learning training with improved efficiency.

problem Inefficiency in distributed large-batch training with Sharpness-Aware Minimization (SAM).
method Integrates SAM's adversarial steps with an asynchronous distributed sampling strategy.
result Higher final accuracy compared to data-parallel SAM.

New LAMB optimizer reduces BERT training time from 3 days to 76 minutes.

problem Training large deep neural networks on massive datasets is computationally challenging.
method Developed a new layerwise adaptive large batch optimization technique called LAMB.
result LAMB reduces BERT training time from 3 days to 76 minutes using very large batch sizes.

Generative models enhance BO for large batch optimization.

problem Efficiently sampling solutions in high-dimensional, combinatorial design spaces.
method Train generative models to sample solutions proportional to expected utility.
result Generative models can approximate optimal target distributions under certain conditions.

New framework optimizes deep learning training by deferring large batch sizes to late stages.

problem Optimizing batch size scheduling for deep learning training efficiency.
method Introduced the functional scaling law (FSL) framework to analyze and optimize batch size scheduling.
result Large batch sizes can be deferred to late training stages without sacrificing performance.

Muon optimizes training efficiency by improving data retention at large batch sizes.

problem Improving training efficiency and data retention at large batch sizes.
method Introducing Muon, a second-order optimizer, and combining it with muP for efficient hyperparameter transfer.
result Muon outperforms AdamW in retaining data efficiency at large batch sizes, enabling more economical training.

SWAP uses large mini-batches to train DNNs faster with good generalization.

problem Training deep neural networks with small mini-batches is time-consuming.
method SWAP computes an approximate solution with large mini-batches and refines it by averaging weights of multiple parallel models.
result SWAP trains models as well as small-batch training but in significantly less time.

Mini-batch stochastic gradient methods (SGD) are state of the art for distributed training of deep neural networks. Drastic increases in the mini-batch sizes have lead to key efficiency and scalability gains in recent years. However, progress faces a major roadblock, as models trained with large batches often do not ge…

2018-08-22abs ↗pdf ↗

ABS dynamically adjusts batch size based on policy stability, improving RL performance.

problem Diminishing returns with large batch sizes in RL due to non-stationary data.
method Adaptive Batch Scaling (ABS) with Behavioral Divergence metric.
result Larger batch sizes can improve RL performance, contrary to conventional wisdom.

SVRN accelerates Newton methods by reducing variance and improving performance.

problem Improving the efficiency of Newton methods for large-scale optimization problems.
method Stochastic Variance-Reduced Newton (SVRN) algorithm that accelerates Subsampled Newton and Iterative Hessian Sketch algorithms.
result SVRN accelerates Newton methods by reducing the number of passes over the data, achieving a significant improvement in performance.

Adaptor 'E' extends gradient-based optimizers to explore loss landscapes, improving generalization.

problem Finding lower and better-generalizing minima in deep learning.
method Proposes an adaptor 'E' to extend gradient-based optimizers, encouraging exploration along landscape valleys.
result Adapted optimizers increase test accuracy by an average of 2.5% in large-batch training tasks.

SogCLR uses small batch sizes for global contrastive learning, achieving similar performance to SimCLR.

problem Existing contrastive learning methods require large batch sizes or large feature dictionaries.
method SogCLR, a memory-efficient Stochastic Optimization algorithm for global contrastive learning.
result SogCLR with small batch sizes (e.g., 256) achieves similar performance to SimCLR with large batch sizes (e.g., 8192).

Empirical study on SGD hyperparameters and adversarial robustness.

problem Effect of SGD hyperparameters on adversarial robustness and generalization.
method Empirical observation of learning rate, batch size, and momentum effects on adversarial robustness and generalization.
result Constant learning rate to batch size ratio leads to good generalization and almost constant adversarial robustness.

Two new Frank-Wolfe algorithms improve convergence for constrained optimization.

problem Solving optimization problems with structured constraints in machine learning.
method Two new variants of the Frank-Wolfe (FW) method for stochastic finite-sum minimization.
result Best convergence guarantees for convex and non-convex objective functions.

New insights explain speedup saturation in distributed learning with large batches and delays.

problem Understanding and optimizing speedup in distributed learning with large batches and delays.
method Theoretical analysis of strongly convex, convex, and non-convex settings, considering data sparsity.
result Identification of a data-dependent parameter explaining speedup saturation in both batch size and gradient staleness.

SGDM accelerates faster than SGD with large batch sizes and permits broader learning rates.

problem Understanding the role of momentum in SGDM and its convergence rates.
method Analysis of SGDM convergence rates under strongly convex settings, including finite-sample rates and asymptotic normality of the averaged estimator.
result SGDM converges faster than SGD with large batch sizes and permits broader learning rates.

New method improves uncertainty quantification for large batch sizes and misspecified models.

problem Challenges in tuning algorithms for accurate uncertainty quantification in large batch sizes and misspecified models.
method Proposes new discrete-time approximations to SGD and SGLD, proving error bounds for practical tuning.
result Quantitative, non-asymptotic error bounds for accurate predictions of covariance and autocorrelation time.

New method improves model accuracy in Byzantine-robust distributed learning by optimizing batch size.

problem Reduces model accuracy drop due to large variance of stochastic gradients in Byzantine-robust distributed learning.
method Proposes ByzSGDnm, a novel BRDL method that uses normalized momentum to mitigate accuracy drop in large batch sizes.
result The optimal batch size increases with the fraction of Byzantine workers, leading to better model accuracy under Byzantine attacks.

Momentum affects optimization differently at small vs large batch sizes near instability.

problem Understanding how momentum impacts optimization near the edge of stability.
method Demonstrated through batch-size dependent behavior of SGD with momentum.
result Momentum operates in two distinct regimes: amplifying stochastic fluctuations at small batch sizes and stabilizing at large batch sizes.

Efficient momentum-based methods for reinforcement learning with improved sample complexity.

problem Efficient reinforcement learning algorithms for non-concave performance functions.
method Adaptive momentum-based policy gradient methods using variance reduction and importance sampling techniques.
result Both IS-MBPG and HA-MBPG reach the best known sample complexity of O(ε3)O(ε^{-3}) for finding an εε-stationary point.

SGD favors flat minima exponentially more than sharp minima in deep learning.

problem Understanding how SGD selects flat minima in deep learning.
method Developed a density diffusion theory (DDT) to analyze minima selection.
result SGD exponentially favors flat minima over sharp minima due to Hessian-dependent noise.

In an increasing number of domains it has been demonstrated that deep learning models can be trained using relatively large batch sizes without sacrificing data efficiency. However the limits of this massive data parallelism seem to differ from domain to domain, ranging from batches of tens of thousands in ImageNet to …

2018-12-14abs ↗pdf ↗

A new method uses extrapolation to train deep learning models with larger batch sizes.

problem Persistent degradation in performance when increasing batch size for deep learning.
method Proposes extrapolation to stabilize optimization trajectory and improve generalization.
result Demonstrates scaling to larger batch sizes while maintaining or surpassing state-of-the-art accuracy.

Two single-timescale algorithms improve TD learning with nonlinear approximations.

problem Optimizing TD learning with nonlinear smooth function approximation.
method Proposes two single-timescale single-loop algorithms with momentum and variance reduction.
result Achieves O(ε4)O(\varepsilon^{-4}) sample complexity for the first algorithm and O(ε3)O(\varepsilon^{-3}) for the second.

This paper proposes a curriculum learning framework for NMT to reduce training time and improve performance.

problem Slow training and need for heuristics in NMT systems.
method A curriculum learning framework that decides training samples based on estimated difficulty and model competence.
result Up to 70% decrease in training time and up to 2.2 BLEU accuracy improvements.

Differentially private learning on real-world data poses challenges for standard machine learning practice: privacy guarantees are difficult to interpret, hyperparameter tuning on private data reduces the privacy budget, and ad-hoc privacy attacks are often required to test model privacy. We introduce three tools to ma…

2018-12-07abs ↗pdf ↗