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We present a theoretical analysis of some popular adaptive Stochastic Gradient Descent (SGD) methods in the small learning rate regime. Using the stochastic modified equations framework introduced by Li et al., we derive effective…

机器学习 · 统计学 2025-09-29 Luca Callisti , Marco Romito , Francesco Triggiano

Embedding learning has found widespread applications in recommendation systems and natural language modeling, among other domains. To learn quality embeddings efficiently, adaptive learning rate algorithms have demonstrated superior…

机器学习 · 计算机科学 2021-11-24 Yan Li , Dhruv Choudhary , Xiaohan Wei , Baichuan Yuan , Bhargav Bhushanam , Tuo Zhao , Guanghui Lan

I propose a novel framework that integrates stochastic differential equations (SDEs) with deep generative models to improve uncertainty quantification in machine learning applications involving structured and temporal data. This approach,…

机器学习 · 统计学 2026-01-09 James Rice

Most real world phenomena such as sunlight distribution under a forest canopy, minerals concentration, stock valuation, exhibit nonstationary dynamics i.e. phenomenon variation changes depending on the locality. Nonstationary dynamics pose…

机器学习 · 计算机科学 2018-11-05 Sahil Garg

Continual learning, the ability of a model to adapt to an ongoing sequence of tasks without forgetting earlier ones, is a central goal of artificial intelligence. To better understand its underlying mechanisms, we study the limitations of…

机器学习 · 统计学 2026-04-21 Hossein Taheri , Avishek Ghosh , Arya Mazumdar

Training neural networks requires optimizing a loss function that may be highly irregular, and in particular neither convex nor smooth. Popular training algorithms are based on stochastic gradient descent with momentum (SGDM), for which…

机器学习 · 计算机科学 2026-03-17 Qinzi Zhang , Ashok Cutkosky

Test-time Scaling (TTS) has been demonstrated to significantly enhance the reasoning capabilities of Large Language Models (LLMs) during the inference phase without altering model parameters. However, existing TTS methods are largely…

计算与语言 · 计算机科学 2025-09-30 Guibin Zhang , Fanci Meng , Guancheng Wan , Zherui Li , Kun Wang , Zhenfei Yin , Lei Bai , Shuicheng Yan

In this paper, we propose a stochastic optimization method that adaptively controls the sample size used in the computation of gradient approximations. Unlike other variance reduction techniques that either require additional storage or the…

最优化与控制 · 数学 2017-11-01 Raghu Bollapragada , Richard Byrd , Jorge Nocedal

Automated analysis of complex systems based on multiple readouts remains a challenge. Change point detection algorithms are aimed to locating abrupt changes in the time series behaviour of a process. In this paper, we present a novel change…

机器学习 · 计算机科学 2023-10-05 Artem Ryzhikov , Mikhail Hushchyn , Denis Derkach

The majority of machine learning methods can be regarded as the minimization of an unavailable risk function. To optimize the latter, given samples provided in a streaming fashion, we define a general stochastic Newton algorithm and its…

统计理论 · 数学 2023-06-30 Claire Boyer , Antoine Godichon-Baggioni

Efficient skill acquisition, representation, and on-line adaptation to different scenarios has become of fundamental importance for assistive robotic applications. In the past decade, dynamical systems (DS) have arisen as a flexible and…

机器人学 · 计算机科学 2020-03-27 Matteo Saveriano , Dongheui Lee

In online learning from non-stationary data streams, it is necessary to learn robustly to outliers and to adapt quickly to changes in the underlying data generating mechanism. In this paper, we refer to the former attribute of online…

机器学习 · 统计学 2021-09-29 Shintaro Fukushima , Atsushi Nitanda , Kenji Yamanishi

Stochastic Gradient Langevin Dynamics (SGLD) is a popular variant of Stochastic Gradient Descent, where properly scaled isotropic Gaussian noise is added to an unbiased estimate of the gradient at each iteration. This modest change allows…

机器学习 · 计算机科学 2017-06-06 Maxim Raginsky , Alexander Rakhlin , Matus Telgarsky

Short-term load forecasting (STLF) is challenging due to complex time series (TS) which express three seasonal patterns and a nonlinear trend. This paper proposes a novel hybrid hierarchical deep learning model that deals with multiple…

机器学习 · 计算机科学 2021-12-07 Slawek Smyl , Grzegorz Dudek , Paweł Pełka

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

Traditionally, neural networks are parameterized using optimization procedures such as stochastic gradient descent, RMSProp and ADAM. These procedures tend to drive the parameters of the network toward a local minimum. In this article, we…

机器学习 · 计算机科学 2020-01-07 Benedict Leimkuhler , Charles Matthews , Tiffany Vlaar

In this paper, we characterize the noise of stochastic gradients and analyze the noise-induced dynamics during training deep neural networks by gradient-based optimizers. Specifically, we firstly show that the stochastic gradient noise…

机器学习 · 计算机科学 2021-09-22 Yixin Wu , Rui Luo , Chen Zhang , Jun Wang , Yaodong Yang

We propose a method for learning expressive energy-based policies for continuous states and actions, which has been feasible only in tabular domains before. We apply our method to learning maximum entropy policies, resulting into a new…

机器学习 · 计算机科学 2017-07-25 Tuomas Haarnoja , Haoran Tang , Pieter Abbeel , Sergey Levine

In this paper, we propose a stochastic scheduling strategy for estimating the states of N discrete-time linear time invariant (DTLTI) dynamic systems, where only one system can be observed by the sensor at each time instant due to practical…

最优化与控制 · 数学 2015-06-23 Chong Li , Nicola Elia

Autonomous systems increasingly rely on human feedback to align their behavior, expressed as pairwise comparisons, rankings, or demonstrations. While existing methods can adapt behaviors, they often fail to guarantee safety in…

机器人学 · 计算机科学 2026-03-12 Ruya Karagulle , Cristian-Ioan Vasile , Necmiye Ozay