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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.

169,181 papers · 148 categories

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48 results for minibatch strategies

Unbalanced minibatch Optimal Transport improves domain adaptation performance.

problem Optimal transport distances are computationally expensive for large datasets.
method Use unbalanced minibatch Optimal Transport to estimate distances over subsets of data.
result Unbalanced Optimal Transport leads to better domain adaptation results.

This paper analyzes minibatch optimal transport distances and their applications.

problem Optimal transport distances are complex and impractical for large datasets.
method Extended analysis of minibatch optimal transport distances, focusing on various kernels and debiased functions.
result Minibatch optimal transport distances are unbiased estimators and have statistical and optimisation properties.

Adaptive batch sizes improve local gradient methods in distributed training.

problem Communication bottlenecks in distributed deep learning.
method Adaptive batch size strategies for local gradient methods.
result Adaptive batch sizes reduce minibatch gradient variance and improve training efficiency.

New method reduces discrete flow transitions, improving perplexity estimation.

problem Stochasticity in discrete paths makes rectification strategies ineffective.
method Dynamic-optimal-transport-like minimization objective with minibatch strategies.
result 32 times reduction in transitions for same perplexity.

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 prefer…

2016-02-06abs ↗pdf ↗

Paper introduces ZOO-ADMM for online optimization with reduced gradient calculations.

problem Developing an efficient online optimization method for complex structured regularizers.
method Zeroth-order online alternating direction method of multipliers (ZOO-ADMM) with gradient-free operation and minibatch strategies.
result Improved convergence rate for ZOO-ADMM compared to first-order gradient-based methods.

New algorithms accelerate model-based optimization for stochastic problems.

problem Optimizing model-based stochastic optimization problems efficiently.
method Proposed new model-based algorithms with acceleration and minibatch techniques.
result Non-asymptotic convergence guarantees with linear speedup in minibatch size.

Minibatch SGD outperforms Local SGD in heterogeneous distributed learning.

problem Optimizing a combined convex objective with stochastic gradient estimates from different machines.
method Analysis of Minibatch SGD and Local SGD in a heterogeneous distributed setting.
result Minibatch SGD dominates Local SGD in the heterogeneous distributed setting.

Advances few-shot classification by treating it as supervised learning and proposing new training techniques.

problem Formulating the ability of humans to learn from limited data in machine learning.
method Formulated few-shot classification as a supervised learning problem and introduced multi-episode and cross-way training techniques.
result Proposed training strategies accelerate the training process without accuracy loss.

This work improves SGD minibatch sampling using determinantal point processes based on orthogonal polynomials.

problem Improving variance reduction in stochastic gradient descent (SGD) for large datasets.
method Orthogonal polynomial-based determinantal point processes for sampling minibatches in SGD.
result DPP minibatches lead to a smaller mean square approximation error than uniform minibatches.

Develops minibatch stochastic proximal gradient for large-scale learning models.

problem Finding optimal predictors with complex regularizers in large-scale learning models.
method Minibatch variants of stochastic proximal gradient algorithm for composite objective functions.
result Minibatch size NN after O(1Nε)\mathcal{O}(\frac{1}{Nε}) iterations achieves εε-suboptimality in expected quadratic distance.

Researchers analyze SGD dynamics using von Mises-Fisher distributions.

problem Understanding the dynamics of stochastic gradient descent in high-dimensional spaces.
method Geometric analysis of minibatch gradient norms and directions through von Mises-Fisher distribution.
result Directional uniformity of minibatch gradients increases over SGD iterations.

Anytime MiniBatch speeds up online distributed optimization by handling slow nodes.

problem Mitigating the impact of slow nodes (stragglers) in distributed optimization.
method Proposes an online distributed optimization method that averages minibatch gradients via consensus rounds.
result Prevents stragglers from slowing progress without wasting work.

A new method for parallelizing neural network training on large computers.

problem Efficiently parallelizing deep neural networks training on large distributed-memory computers.
method Integrates model, batch, and domain parallelism using a matrix-based parallel algorithm.
result Lowest communication costs achieved with an integrated approach, not pure model or data parallelism.

Stochastic NGD approximates Bayesian posterior samples near local minima.

problem Approximating Bayesian uncertainty in model parameters near local minima.
method Develops minibatch natural gradient descent (NGD) and introduces stochastic NGD to preserve Bayesian properties.
result Minibatch NGD's stationary distribution approaches a Bayesian posterior near local minima with small learning rates.

Paper explores how combining tail-averaging and minibatching improves SGD convergence.

problem Understanding and optimizing learning properties of SGD variants.
method Least squares learning in a nonparametric setting, focusing on multiple passes, mini-batching, and averaging.
result Tail averaging allows faster convergence rates than uniform averaging in nonparametric settings.

Study on the noise in SGD minibatches near local minima.

problem Understanding the noise in SGD minibatches near local minima.
method Detailed analysis of SGD noise in linear regression and derivation of a general formula for different types of minima.
result Provides insight into the stability of training neural networks and suggests large learning rates can help generalization.

Paper proves minibatch SGD for GP inference converges and improves generalization.

problem Theoretical understanding and practical use of SGD for correlated samples in Gaussian process inference.
method Proves minibatch SGD converges to a critical point with rate O(1/K) for K iterations, under certain kernel conditions.
result Minibatch SGD for GP inference improves generalization and reduces computational burden.

New technique trains deep neural networks without normalization or minibatch statistics.

problem Training deep neural networks at high learning rates without normalization.
method Channel-wise zero-mean initialization and gradient modification to maintain common mode rejection.
result Achieves higher accuracy compared to batch normalization and shows minibatches are unnecessary.

The paper analyzes how larger minibatch sizes in SG-MCMC lead to faster convergence.

problem Theoretical analysis of impact of minibatch size on SG-MCMC convergence rate.
method Proposes a variance-reduction technique for SG-MCMC and proves its faster convergence rate.
result The proposed variance-reduction technique leads to a faster convergence rate than standard SG-MCMC.

Unified analysis of stochastic gradient methods for convex and smooth optimization.

problem Minimizing composite convex and smooth functions.
method Unified convergence analysis of various stochastic gradient methods.
result Unified convergence rates for a variety of methods including proximal SGD, variance reduced methods, quantization, and coordinate descent.

FedProx algorithm improved for non-smooth and heterogeneous data.

problem Theoretical understanding of FedProx for non-convex federated optimization.
method Local dissimilarity invariant convergence theory through algorithmic stability.
result Convergence guarantees for non-smooth FL problems and minibatch size.

Improved sampling for Bayesian neural networks reduces vanishing acceptance rates and increases predictive accuracy.

problem Sampling inefficiency in Bayesian neural networks, especially with deep architectures and large datasets.
method Approximate blocked Gibbs sampling to partition and sample subgroups of parameters.
result Increased predictive accuracy and quantification of predictive uncertainty in classification tasks.

New convergence bounds for shuffling-based SGD methods in distributed learning.

problem Analyzing the performance of shuffling-based variants of SGD in distributed learning.
method Study of minibatch and local Random Reshuffling methods, proving convergence bounds and lower bounds.
result Shuffling-based variants converge faster than with-replacement sampling methods, and the bounds are tight.

SGD converges to global minimum for structured non-convex functions.

problem Optimizing non-convex functions using SGD with slow convergence rates.
method Convergence theorems for SGD on structured non-convex functions, including Quasar and PL conditions.
result SGD converges to global minimum for specific non-convex functions under certain conditions.

Paper proposes a method to estimate variance reduction in DNN training using importance sampling.

problem Challenges in assessing variance reduction during DNN training using importance sampling.
method Proposes a method for estimating variance reduction using minibatches sampled under importance sampling.
result Demonstrates consistent reduction in variance, improved training efficiency, and enhanced model accuracy.

New method improves convergence of SPP for convex optimization problems.

problem Stochastic optimization and robustness to SGD.
method Minibatch Stochastic Proximal Point (M-SPP) method with stability analysis.
result M-SPP achieves faster convergence rates under smoothness and quadratic growth conditions.

We present a novel Metropolis-Hastings method for large datasets that uses small expected-size minibatches of data. Previous work on reducing the cost of Metropolis-Hastings tests yield variable data consumed per sample, with only constant factor reductions versus using the full dataset for each sample. Here we present…

2016-10-19abs ↗pdf ↗