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We study the discrete dynamics of mini-batch gradient descent with random reshuffling for least squares regression. We show that the training and generalization errors depend on a sample cross-covariance matrix $Z$ between the original…

机器学习 · 统计学 2025-02-05 Jackie Lok , Rishi Sonthalia , Elizaveta Rebrova

Deep metric learning aims to construct an embedding space where samples of the same class are close to each other, while samples of different classes are far away from each other. Most existing deep metric learning methods attempt to…

计算机视觉与模式识别 · 计算机科学 2023-04-24 Liu Pingping , Liu Zetong , Lang Yijun , Zhou Qiuzhan , Li Qingliang

In modern scientific research, small-scale studies with limited participants are increasingly common. However, interpreting individual outcomes can be challenging, making it standard practice to combine data across studies using random…

统计理论 · 数学 2025-11-04 Lucas Kania , Larry Wasserman , Sivaraman Balakrishnan

RNA interference (RNAi) is an endogenous cellular process in which small double-stranded RNAs lead to the destruction of mRNAs with complementary nucleoside sequence. With the production of RNAi libraries, large-scale RNAi screening in…

Despite the significant advances in deep learning over the past decade, a major challenge that limits the wide-spread adoption of deep learning has been their fragility to adversarial attacks. This sensitivity to making erroneous…

Dynamic data pruning accelerates deep learning by selectively omitting less informative samples during training. While per-sample loss is a common importance metric, obtaining it can be challenging or infeasible for complex models or loss…

机器学习 · 计算机科学 2026-04-07 Qing Zhou , Bingxuan Zhao , Tao Yang , Hongyuan Zhang , Junyu Gao , Qi Wang

In this paper, we present a novel approach that combines deep metric learning and synthetic data generation using diffusion models for out-of-distribution (OOD) detection. One popular approach for OOD detection is outlier exposure, where…

计算机视觉与模式识别 · 计算机科学 2024-05-02 Assefa Seyoum Wahd

Over the past few years, Batch-Normalization has been commonly used in deep networks, allowing faster training and high performance for a wide variety of applications. However, the reasons behind its merits remained unanswered, with several…

机器学习 · 统计学 2019-02-08 Elad Hoffer , Ron Banner , Itay Golan , Daniel Soudry

In this paper we present tools for applied researchers that re-purpose off-the-shelf methods from the computer-science field of machine learning to create a "discovery engine" for data from randomized controlled trials (RCTs). The applied…

机器学习 · 统计学 2019-05-13 Jens Ludwig , Sendhil Mullainathan , Jann Spiess

Many machine learning algorithms are based on the assumption that training examples are drawn independently. However, this assumption does not hold anymore when learning from a networked sample because two or more training examples may…

人工智能 · 计算机科学 2017-06-06 Yuyi Wang , Jan Ramon , Zheng-Chu Guo

Background: Pairwise and network meta-analyses using fixed effect and random effects models are commonly applied to synthesise evidence from randomised controlled trials. The models differ in their assumptions and the interpretation of the…

统计方法学 · 统计学 2017-08-04 Shijie Ren , Jeremy E. Oakley , John W. Stevens

The mini-batch stochastic gradient descent (SGD) algorithm is widely used in training machine learning models, in particular deep learning models. We study SGD dynamics under linear regression and two-layer linear networks, with an easy…

最优化与控制 · 数学 2020-04-29 Xin Qian , Diego Klabjan

Beyond conditional average treatment effects, treatments may impact the entire outcome distribution in covariate-dependent ways, for example, by altering the variance or tail risks for specific subpopulations. We propose a novel estimand to…

机器学习 · 统计学 2026-03-18 Saksham Jain , Alex Luedtke

One of the distinguishing characteristics of modern deep learning systems is that they typically employ neural network architectures that utilize enormous numbers of parameters, often in the millions and sometimes even in the billions.…

机器学习 · 统计学 2021-11-15 Ben Adlam , Jake Levinson , Jeffrey Pennington

Machine learning, especially deep neural networks, has been rapidly developed in fields including computer vision, speech recognition and reinforcement learning. Although Mini-batch SGD is one of the most popular stochastic optimization…

机器学习 · 计算机科学 2019-03-12 Xinyu Peng , Li Li , Fei-Yue Wang

Intelligent diagnosis method based on data-driven and deep learning is an attractive and meaningful field in recent years. However, in practical application scenarios, the imbalance of time-series fault is an urgent problem to be solved.…

机器学习 · 计算机科学 2021-07-15 Xingtai Gui , Jiyang Zhang

Bootstrap resampling is the foundation of many ensemble learning methods, and out-of-bag (OOB) error estimation is the most widely used internal measure of generalization performance. In the standard multinomial bootstrap, the number of…

统计方法学 · 统计学 2025-11-25 Cheng Peng

The simultaneous application of multiple treatments is increasingly common in many fields, such as healthcare and marketing. In such scenarios, it is important to estimate the single treatment effects and the interaction treatment effects…

统计方法学 · 统计学 2025-11-14 Yuki Murakami , Takumi Hattori , Kohsuke Kubota

Heteroscedastic regression is the task of supervised learning where each label is subject to noise from a different distribution. This noise can be caused by the labelling process, and impacts negatively the performance of the learning…

机器学习 · 计算机科学 2021-07-12 Vincent Mai , Waleed Khamies , Liam Paull

We study dropout regularization in continuous-time models through the lens of random-batch methods -- a family of stochastic sampling schemes originally devised to reduce the computational cost of interacting particle systems. We construct…

机器学习 · 计算机科学 2025-10-16 Antonio Álvarez-López , Martín Hernández