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This paper proposes an efficient approach to learning disentangled representations with causal mechanisms based on the difference of conditional probabilities in original and new distributions. We approximate the difference with models'…

机器学习 · 计算机科学 2024-01-03 Yuanpeng Li , Joel Hestness , Mohamed Elhoseiny , Liang Zhao , Kenneth Church

Stochastic dual coordinate ascent (SDCA) is an effective technique for solving regularized loss minimization problems in machine learning. This paper considers an extension of SDCA under the mini-batch setting that is often used in…

机器学习 · 统计学 2013-05-14 Shai Shalev-Shwartz , Tong Zhang

We propose a new stochastic optimization framework for empirical risk minimization problems such as those that arise in machine learning. The traditional approaches, such as (mini-batch) stochastic gradient descent (SGD), utilize an…

机器学习 · 统计学 2020-02-04 Kenji Kawaguchi , Haihao Lu

Signal decomposition and multiscale signal analysis provide many useful tools for time-frequency analysis. We proposed a random feature method for analyzing time-series data by constructing a sparse approximation to the spectrogram. The…

信号处理 · 电气工程与系统科学 2023-03-17 Nicholas Richardson , Hayden Schaeffer , Giang Tran

Sample average approximation (SAA) is a technique for obtaining approximate solutions to stochastic programs that uses the average from a random sample to approximate the expected value that is being optimized. Since the outcome from…

最优化与控制 · 数学 2026-01-22 Harshit Kothari , James R. Luedtke

We explore an explicit link between stochastic gradient descent using common batching strategies and splitting methods for ordinary differential equations. From this perspective, we introduce a new minibatching strategy (called Symmetric…

最优化与控制 · 数学 2025-04-08 Luke Shaw , Peter A. Whalley

We present two stochastic descent algorithms that apply to unconstrained optimization and are particularly efficient when the objective function is slow to evaluate and gradients are not easily obtained, as in some PDE-constrained…

最优化与控制 · 数学 2019-04-30 David Kozak , Stephen Becker , Alireza Doostan , Luis Tenorio

Accelerated coordinate descent is widely used in optimization due to its cheap per-iteration cost and scalability to large-scale problems. Up to a primal-dual transformation, it is also the same as accelerated stochastic gradient descent…

最优化与控制 · 数学 2016-05-30 Zeyuan Allen-Zhu , Zheng Qu , Peter Richtárik , Yang Yuan

A recent article introduced thecontinuous stochastic gradient method (CSG) for the efficient solution of a class of stochastic optimization problems. While the applicability of known stochastic gradient type methods is typically limited to…

最优化与控制 · 数学 2021-11-16 Lukas Pflug , Max Grieshammer , Andrian Uihlein , Michael Stingl

The integration of storage and renewable resources fundamentally alters resource-adequacy analysis. Because storage couples decisions across time, it invalidates the traditional reliability models that are based on time-independent capacity…

最优化与控制 · 数学 2026-03-05 Baptiste Rabecq , Andy Sun , Feng Zhao , Tongxin Zheng , Xiaochu Wang , Yufan Zhang

We analyze the convergence rate of the random reshuffling (RR) method, which is a randomized first-order incremental algorithm for minimizing a finite sum of convex component functions. RR proceeds in cycles, picking a uniformly random…

最优化与控制 · 数学 2022-02-09 Mert Gürbüzbalaban , Asuman Ozdaglar , Pablo Parrilo

The sampling importance resampling method is widely utilized in various fields, such as numerical integration and statistical simulation. In this paper, two modified methods are presented by incorporating two variance reduction techniques…

统计计算 · 统计学 2024-08-28 Yao Xiao , Kang Fu , Kun Li

Slow concept drift is a ubiquitous, yet under-studied problem in practical machine learning systems. In such settings, although recent data is more indicative of future data, naively prioritizing recent instances runs the risk of losing…

机器学习 · 计算机科学 2023-12-21 Nishant Jain , Pradeep Shenoy

We consider stochastic optimization of a smooth non-convex loss function with a convex non-smooth regularizer. In the online setting, where a single sample of the stochastic gradient of the loss is available at every iteration, the problem…

最优化与控制 · 数学 2021-09-01 Basil M. Idrees , Javed Akhtar , Ketan Rajawat

In empirical risk optimization, it has been observed that stochastic gradient implementations that rely on random reshuffling of the data achieve better performance than implementations that rely on sampling the data uniformly. Recent works…

机器学习 · 计算机科学 2019-01-30 Bicheng Ying , Kun Yuan , Stefan Vlaski , Ali H. Sayed

In this paper we apply the stochastic variance reduced gradient (SVRG) method, which is a popular variance reduction method in optimization for accelerating the stochastic gradient method, to solve large scale linear ill-posed systems in…

数值分析 · 数学 2024-03-20 Qinian Jin , Liuhong Chen

Single-call stochastic extragradient methods, like stochastic past extragradient (SPEG) and stochastic optimistic gradient (SOG), have gained a lot of interest in recent years and are one of the most efficient algorithms for solving…

最优化与控制 · 数学 2023-11-14 Sayantan Choudhury , Eduard Gorbunov , Nicolas Loizou

A probabilistic approach for estimating sample qualities for stochastic differential equations is introduced in this paper. The aim is to provide a quantitative upper bound of the distance between the invariant probability measure of a…

数值分析 · 数学 2019-12-24 Matthew Dobson , Jiayu Zhai , Yao Li

Techniques for reducing the variance of gradient estimates used in stochastic programming algorithms for convex finite-sum problems have received a great deal of attention in recent years. By leveraging dissipativity theory from control, we…

最优化与控制 · 数学 2018-06-12 Bin Hu , Stephen Wright , Laurent Lessard

Many Markov Chain Monte Carlo (MCMC) methods leverage gradient information of the potential function of target distribution to explore sample space efficiently. However, computing gradients can often be computationally expensive for large…

机器学习 · 计算机科学 2021-09-24 Ruilin Li , Xin Wang , Hongyuan Zha , Molei Tao
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