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Semisupervised methods are techniques for using labeled data $(X_1,Y_1),\ldots,(X_n,Y_n)$ together with unlabeled data $X_{n+1},\ldots,X_N$ to make predictions. These methods invoke some assumptions that link the marginal distribution $P_X$…

统计理论 · 数学 2013-05-27 Martin Azizyan , Aarti Singh , Larry Wasserman

Directional data require specialized probability models because of the non-Euclidean and periodic nature of their domain. When a directional variable is observed jointly with linear variables, modeling their dependence adds an additional…

统计方法学 · 统计学 2022-12-22 Tong Zou , Hal S. Stern

Data augmentation is rapidly gaining attention in machine learning. Synthetic data can be generated by simple transformations or through the data distribution. In the latter case, the main challenge is to estimate the label associated to…

机器学习 · 计算机科学 2019-03-26 Maria Perez-Ortiz , Peter Tino , Rafal Mantiuk , Cesar Hervas-Martinez

We consider the privacy amplification properties of a sampling scheme in which a user's data is used in $k$ steps chosen randomly and uniformly from a sequence (or set) of $t$ steps. This sampling scheme has been recently applied in the…

机器学习 · 计算机科学 2026-02-20 Vitaly Feldman , Moshe Shenfeld

This article provides an original understanding of the behavior of a class of graph-oriented semi-supervised learning algorithms in the limit of large and numerous data. It is demonstrated that the intuition at the root of these methods…

机器学习 · 计算机科学 2017-11-10 Xiaoyi Mai , Romain Couillet

This article explains, and discusses the merits of, three approaches for analyzing the certainty with which statistical results can be extrapolated beyond the data gathered. Sometimes it may be possible to use more than one of these…

统计方法学 · 统计学 2016-10-03 Michael Wood

An interesting line of research is the investigation of the laws of random variables known as Dirichlet means. However, there is not much information on interrelationships between different Dirichlet means. Here, we introduce two…

统计理论 · 数学 2010-10-11 Lancelot F. James

Feature selection can facilitate the learning of mixtures of discrete random variables as they arise, e.g. in crowdsourcing tasks. Intuitively, not all workers are equally reliable but, if the less reliable ones could be eliminated, then…

机器学习 · 统计学 2017-11-28 Vincent Zhao , Steven W. Zucker

Randomized value functions offer a promising approach towards the challenge of efficient exploration in complex environments with high dimensional state and action spaces. Unlike traditional point estimate methods, randomized value…

机器学习 · 计算机科学 2019-07-02 Ahmed Touati , Harsh Satija , Joshua Romoff , Joelle Pineau , Pascal Vincent

Unobserved confounding is one of the main challenges when estimating causal effects. We propose a causal reduction method that, given a causal model, replaces an arbitrary number of possibly high-dimensional latent confounders with a single…

机器学习 · 统计学 2023-02-24 Maximilian Ilse , Patrick Forré , Max Welling , Joris M. Mooij

Leveraging unlabelled data through weak or distant supervision is a compelling approach to developing more effective text classification models. This paper proposes a simple but effective data augmentation method, which leverages the idea…

计算与语言 · 计算机科学 2021-07-19 Qin Ruan , Brian Mac Namee , Ruihai Dong

Pseudospectral analysis is fundamental for quantifying the sensitivity and transient behavior of nonnormal matrices, yet its computational cost scales cubically with dimension, rendering it prohibitive for large-scale systems. While…

数值分析 · 数学 2026-02-03 Vladimir R. Kostic , Dragana Lj. Cvetkovic , Ljiljana Cvetkovic

The network scale-up method enables researchers to estimate the size of hidden populations, such as drug injectors and sex workers, using sampled social network data. The basic scale-up estimator offers advantages over other size estimation…

应用统计 · 统计学 2016-11-14 Dennis M. Feehan , Matthew J. Salganik

The challenge of quantifying uncertainty propagation in real-world systems is rooted in the high-dimensionality of the stochastic input and the frequent lack of explicit knowledge of its probability distribution. Traditional approaches show…

数值分析 · 数学 2019-05-01 Huan Lei , Jing Li , Peiyuan Gao , Panos Stinis , Nathan Baker

Pseudocode in a scholarly paper provides a concise way to express the algorithms implemented therein. Pseudocode can also be thought of as an intermediary representation that helps bridge the gap between programming languages and natural…

信息检索 · 计算机科学 2024-06-10 Levent Toksoz , Gang Tan , C. Lee Giles

There is significant growth and interest in the use of synthetic data as an enabler for machine learning in environments where the release of real data is restricted due to privacy or availability constraints. Despite a large number of…

机器学习 · 计算机科学 2020-11-25 Harrison Wilde , Jack Jewson , Sebastian Vollmer , Chris Holmes

Modern statistical analyses often encounter datasets with massive sizes and heavy-tailed distributions. For datasets with massive sizes, traditional estimation methods can hardly be used to estimate the extreme value index directly. To…

统计方法学 · 统计学 2022-07-26 Yongxin Li , Liujun Chen , Deyuan Li , Hansheng Wang

This work proposes a scalable probabilistic latent variable model based on Gaussian processes (Lawrence, 2004) in the context of multiple observation spaces. We focus on an application in astrophysics where data sets typically contain both…

星系天体物理 · 物理学 2025-02-28 Vidhi Lalchand , Anna-Christina Eilers

Self-supervised representation learning~(SSRL) has advanced considerably by exploiting the transformation invariance assumption under artificially designed data augmentations. While augmentation-based SSRL algorithms push the boundaries of…

机器学习 · 计算机科学 2024-03-22 Yi Sui , Tongzi Wu , Jesse C. Cresswell , Ga Wu , George Stein , Xiao Shi Huang , Xiaochen Zhang , Maksims Volkovs

In the real world, experimental data are rarely, if ever, distributed as a normal (Gaussian) distribution. As an example, a large set of data--such as the cross sections for particle scattering as a function of energy contained in the…

数据分析、统计与概率 · 物理学 2009-11-11 Martin M. Block