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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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137274411548 · Jun 202019922001200920182026
48 results for Asynchronous Stochastic Gradient Descent

Proposes SME for ASGD, revealing dynamics and optimal mini-batching.

problem Understanding and optimizing ASGD algorithms.
method Develops SME for ASGD, proving convergence and solving optimal control problem.
result ASGD converges to SME in continuous time limit and predicts ASGD trajectories.

DANA mitigates gradient staleness in asynchronous distributed SGD with momentum.

problem Gradient staleness in asynchronous distributed SGD with momentum.
method DANA: a novel technique for asynchronous distributed SGD with momentum that computes the gradient on an estimated future position of the model's parameters.
result DANA fully incorporates momentum in asynchronous training with almost no ramifications to final accuracy.

AsyB-ProxSGD parallelizes model updates and stochastic gradient descent for large models and data.

problem Efficiently training large models and handling large datasets in parallel.
method AsyB-ProxSGD: model parallel proximal stochastic gradient algorithm for asynchronous systems.
result Achieves linear speedup with O(K1/4)O(K^{1/4}) number of workers for nonconvex problems.

Stochastic gradient descent~(SGD) and its variants have become more and more popular in machine learning due to their efficiency and effectiveness. To handle large-scale problems, researchers have recently proposed several parallel SGD methods for multicore systems. However, existing parallel SGD methods cannot achieve…

2015-08-24abs ↗pdf ↗

Paper analyzes convergence and speedup of asynchronous parallel SGD.

problem Achieving good convergence and linear speedup in asynchronous parallel SGD.
method Second-order convergence analysis of APSGD with consistent read near strictly saddle points.
result Theoretical guarantee for using at most O(K1/3M1/3)O(K^{1/3}M^{-1/3}) workers for good convergence and linear speedup.

Paper introduces elastic consistency for distributed SGD, enabling convergence analysis.

problem Training large-scale machine learning models in distributed environments.
method Introduces elastic consistency as a general consistency model for distributed SGD.
result Derives convergence bounds for various distributed SGD methods.

New Async-SGD and Async-SGDI methods converge for non-convex problems with unbounded delays.

problem Improving convergence of asynchronous stochastic gradient descent with unbounded delays in non-convex learning.
method Developed Async-SGD and Async-SGDI methods for non-convex optimization with unbounded gradient delays, proving convergence rates and establishing a unifying sufficient condition.
result Proved o(1/k)o(1/\sqrt{k}) convergence rate for Async-SGD and o(1/k)o(1/k) for Async-SGDI.

We introduce and analyze stochastic optimization methods where the input to each gradient update is perturbed by bounded noise. We show that this framework forms the basis of a unified approach to analyze asynchronous implementations of stochastic optimization algorithms.In this framework, asynchronous stochastic optim…

2015-07-24abs ↗pdf ↗

This paper analyzes ASGD using SDEs for a more intuitive convergence rate.

problem Theoretical analysis of ASGD is limited by discrete methods and complex proofs.
method Continuous approximation of ASGD using SDDEs and convergence rate analysis methods.
result Continuous view provides better convergence rates and insights into ASGD.

We address the issue of speeding up the training of convolutional neural networks by studying a distributed method adapted to stochastic gradient descent. Our parallel optimization setup uses several threads, each applying individual gradient descents on a local variable. We propose a new way of sharing information bet…

2018-04-04abs ↗pdf ↗

Variance reduction (VR) methods boost the performance of stochastic gradient descent (SGD) by enabling the use of larger, constant stepsizes and preserving linear convergence rates. However, current variance reduced SGD methods require either high memory usage or an exact gradient computation (using the entire dataset)…

2015-12-05abs ↗pdf ↗

Ringmaster ASGD improves Asynchronous SGD's efficiency under varying worker times.

problem Suboptimal performance of Asynchronous SGD under heterogeneous worker computation times.
method Ringmaster ASGD, a novel Asynchronous SGD method with optimal time complexity.
result Ringmaster ASGD achieves optimal time complexity under arbitrary worker heterogeneity.

Paper analyzes Async-MSGD for nonconvex problems using streaming PCA.

problem Understanding convergence properties of Async-MSGD for nonconvex problems.
method Diffusion approximation to analyze Async-MSGD for streaming PCA.
result Async-MSGD requires reduced momentum for acceleration through asynchrony.

We show that asymptotically, completely asynchronous stochastic gradient procedures achieve optimal (even to constant factors) convergence rates for the solution of convex optimization problems under nearly the same conditions required for asymptotic optimality of standard stochastic gradient procedures. Roughly, the n…

2015-08-04abs ↗pdf ↗

Continuized Nesterov acceleration accelerates stochastic gradient descent and gossip algorithms.

problem Improving the convergence rate of stochastic gradient descent and gossip algorithms.
method Introducing a continuized variant of Nesterov acceleration, which mixes variables continuously and takes gradient steps at random times.
result The continuized Nesterov acceleration achieves convergence rates similar to Nesterov's original acceleration but with random parameters.

We address the issue of speeding up the training of convolutional networks. Here we study a distributed method adapted to stochastic gradient descent (SGD). The parallel optimization setup uses several threads, each applying individual gradient descents on a local variable. We propose a new way to share information bet…

2016-11-29abs ↗pdf ↗

Most commonly used distributed machine learning systems are either synchronous or centralized asynchronous. Synchronous algorithms like AllReduce-SGD perform poorly in a heterogeneous environment, while asynchronous algorithms using a parameter server suffer from 1) communication bottleneck at parameter servers when wo…

2017-10-18abs ↗pdf ↗

Enhances SGLD for log-concave posteriors with asynchronous computation.

problem Sampling log-concave posterior distributions efficiently.
method Integrates asynchronous computation into SGLD with delayed gradients.
result Convergence in measure is not significantly affected by delayed gradient information.

We consider parallel asynchronous Markov Chain Monte Carlo (MCMC) sampling for problems where we can leverage (stochastic) gradients to define continuous dynamics which explore the target distribution. We outline a solution strategy for this setting based on stochastic gradient Hamiltonian Monte Carlo sampling (SGHMC) …

2016-12-02abs ↗pdf ↗

Stochastic gradient descent (SGD) is a ubiquitous algorithm for a variety of machine learning problems. Researchers and industry have developed several techniques to optimize SGD's runtime performance, including asynchronous execution and reduced precision. Our main result is a martingale-based analysis that enables us…

2015-06-22abs ↗pdf ↗

New method for asynchronous stochastic approximation converges in reinforcement learning.

problem Finding solutions to equations with noisy measurements in reinforcement learning.
method Batch Asynchronous Stochastic Approximation (BASA) with conditions for convergence and rate of convergence.
result Sufficient conditions for convergence and rate of convergence of BASA.

Asynchronous distributed stochastic gradient descent methods have trouble converging because of stale gradients. A gradient update sent to a parameter server by a client is stale if the parameters used to calculate that gradient have since been updated on the server. Approaches have been proposed to circumvent this pro…

2016-01-15abs ↗pdf ↗

New rules found to maintain neural network performance in asynchronous training.

problem Asynchronous training leads to degradation in generalization.
method Examined dynamical stability, derived rules for learning rate adjustment.
result Learning rate should be inversely proportional to delay for high delay values.

This work tackles resource allocation in asynchronous and stochastic systems.

problem Distributed resource allocation in asynchronous and stochastic settings.
method Approximate stochastic primal-dual approach with asynchronous updates.
result The Asynchronous stochastic Primal-Dual (Asyn-PD) algorithm converges to the saddle point solution at a rate of O(1/t)O(1/t).

Improved SGD rates with delayed and compressed gradients.

problem Convergence rates of SGD with delayed and compressed gradients.
method Analyzed SGD with delayed updates on smooth quasi-convex and non-convex functions, derived non-asymptotic rates.
result Convergence rates are affected by noise but not by delay, leading to optimal rates.

Asynchronous parallel implementations of stochastic gradient (SG) have been broadly used in solving deep neural network and received many successes in practice recently. However, existing theories cannot explain their convergence and speedup properties, mainly due to the nonconvexity of most deep learning formulations …

2015-06-27abs ↗pdf ↗

Stochastic gradient descent (SGD) is the optimization algorithm of choice in many machine learning applications such as regularized empirical risk minimization and training deep neural networks. The classical convergence analysis of SGD is carried out under the assumption that the norm of the stochastic gradient is uni…

2018-02-11abs ↗pdf ↗

Proposes DC-S3GD for efficient large-scale decentralized neural network training.

problem Training large-scale decentralized neural networks efficiently.
method Decentralized stale-synchronous version of DC-ASGD with gradient correction.
result Achieves state-of-the-art results in training Convolutional Neural Networks.

A new simple algorithm reduces variance for fast convergence.

problem Improving convergence rates for stochastic variance reduced algorithms.
method Introducing a simple stochastic variance reduced algorithm (MiG) with fast convergence rates.
result MiG achieves best-known convergence rates for both strongly and non-strongly convex problems.

Asynchronous methods are widely used in deep learning, but have limited theoretical justification when applied to non-convex problems. We show that running stochastic gradient descent (SGD) in an asynchronous manner can be viewed as adding a momentum-like term to the SGD iteration. Our result does not assume convexity …

2016-05-31abs ↗pdf ↗

A new asynchronous method for vertical federated learning improves privacy and efficiency.

problem Solving vertical federated learning in an asynchronous manner with privacy and efficiency.
method A simple FL method that allows clients to run stochastic gradient algorithms asynchronously with a new perturbed local embedding technique.
result The method improves privacy and communication efficiency compared to centralized and synchronous FL methods.