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This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

统计理论 · 数学 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

Factor analysis is a way to characterize the relationships between many manifest variables in terms of a smaller number of latent variables (i.e., factors). Particularly, in exploratory factor analysis (EFA), researchers consider various…

统计方法学 · 统计学 2025-05-06 Justin Philip Tuazon , Gia Mizrane Abubo , Joemari Olea

Random effect models are popular statistical models for detecting and correcting spurious sample correlations due to hidden confounders in genome-wide gene expression data. In applications where some confounding factors are known,…

统计方法学 · 统计学 2021-11-08 Muhammad Ammar Malik , Tom Michoel

We study counterfactual regression, which aims to map input features to outcomes under hypothetical scenarios that differ from those observed in the data. This is particularly useful for decision-making when adapting to sudden shifts in…

统计方法学 · 统计学 2025-04-08 Kwangho Kim

Multiway datasets are commonly analyzed using unsupervised matrix and tensor factorization methods to reveal underlying patterns. Frequently, such datasets include timestamps and could correspond to, for example, health-related measurements…

机器学习 · 计算机科学 2025-02-27 Christos Chatzis , Carla Schenker , Jérémy E. Cohen , Evrim Acar

Reliable analysis of comprehensive two-dimensional gas chromatography - time-of-flight mass spectrometry (GC$\times$GC-TOFMS) data is considered to be a major bottleneck for its widespread application. For multiple samples,…

In numerous settings, it is increasingly common to deal with longitudinal data organized as high-dimensional multi-dimensional arrays, also known as tensors. Within this framework, the time-continuous property of longitudinal data often…

统计方法学 · 统计学 2026-01-28 Lucas Sort , Laurent Le Brusquet , Arthur Tenenhaus

Predictable Feature Analysis (PFA) (Richthofer, Wiskott, ICMLA 2015) is an algorithm that performs dimensionality reduction on high dimensional input signal. It extracts those subsignals that are most predictable according to a certain…

机器学习 · 计算机科学 2017-12-05 Stefan Richthofer , Laurenz Wiskott

Quantitative MR imaging is increasingly favoured for its richer information content and standardised measures. However, computing quantitative parameter maps, such as those encoding longitudinal relaxation rate (R1), apparent transverse…

计算机视觉与模式识别 · 计算机科学 2021-07-01 Yael Balbastre , Mikael Brudfors , Michela Azzarito , Christian Lambert , Martina F. Callaghan , John Ashburner

For frequentist settings in which parameter randomness represents variability rather than uncertainty, the ideal measure of the support for one hypothesis over another is the difference in the posterior and prior log odds. For situations in…

统计理论 · 数学 2013-09-03 David R. Bickel

The modal factor model represents a new factor model for dimension reduction in high dimensional panel data. Unlike the approximate factor model that targets for the mean factors, it captures factors that influence the conditional mode of…

计量经济学 · 经济学 2024-10-01 Zhe Sun , Yundong Tu

Probabilistic programming is perfectly suited to reliable and transparent data science, as it allows the user to specify their models in a high-level language without worrying about the complexities of how to fit the models. Static analysis…

人工智能 · 计算机科学 2020-08-31 Ryan Bernstein , Matthijs Vákár , Jeannette Wing

Multitask learning algorithms are typically designed assuming some fixed, a priori known latent structure shared by all the tasks. However, it is usually unclear what type of latent task structure is the most appropriate for a given…

机器学习 · 计算机科学 2012-07-03 Alexandre Passos , Piyush Rai , Jacques Wainer , Hal Daume

In this work we set the stage for a new probabilistic pathwise approach to effectively calibrate a general class of stochastic nonlinear fluid dynamics models. We focus on a 2D Euler SALT equation, showing that the driving stochastic…

概率论 · 数学 2023-05-10 Oana Lang , Wei Pan

In many applications of computer vision it is important to accurately estimate the trajectory of an object over time by fusing data from a number of sources, of which 2D and 3D imagery is only one. In this paper, we show how to use a deep…

计算机视觉与模式识别 · 计算机科学 2021-12-06 Fan Jiang , Andrew Marmon , Ildebrando De Courten , Marc Rasi , Frank Dellaert

We consider the problem of estimating stochastic volatility for a class of second-order parabolic stochastic PDEs. Assuming that the solution is observed at a high temporal frequency, we use limit theorems for multipower variations and…

统计理论 · 数学 2020-06-02 Carsten Chong

Many data-driven approaches exist to extract neural representations of functional magnetic resonance imaging (fMRI) data, but most of them lack a proper probabilistic formulation. We propose a group level scalable probabilistic sparse…

Positive and unlabelled learning is an important problem which arises naturally in many applications. The significant limitation of almost all existing methods lies in assuming that the propensity score function is constant (SCAR…

机器学习 · 统计学 2023-11-01 Konrad Furmańczyk , Jan Mielniczuk , Wojciech Rejchel , Paweł Teisseyre

Calibration is nowadays one of the most important processes involved in the extraction of valuable data from measurements. The current availability of an optimum data cube measured from a heterogeneous set of instruments and surveys relies…

天体物理仪器与方法 · 物理学 2012-08-13 Maria Jose Marquez

We study the problem of assessing the robustness of counterfactual explanations for deep learning models. We focus on $\textit{plausible model shifts}$ altering model parameters and propose a novel framework to reason about the robustness…

机器学习 · 计算机科学 2024-07-11 Luca Marzari , Francesco Leofante , Ferdinando Cicalese , Alessandro Farinelli