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Heteroscedasticity -- where the variance of a variable changes with other variables -- is pervasive in real data, and elucidating why it arises from the perspective of statistical moments is crucial in scientific knowledge discovery and…

机器学习 · 统计学 2026-05-28 Yoichi Chikahara

Implicit inverse problems, in which noisy observations of a physical quantity are used to infer a nonlinear functional applied to an associated function, are inherently ill posed and often exhibit non uniqueness of solutions. Such problems…

数值分析 · 数学 2025-05-27 Davide Parodi , Federico Benvenuto , Sara Garbarino , Michele Piana

We examine a probabilistic model for the diagnosis of multiple diseases. In the model, diseases and findings are represented as binary variables. Also, diseases are marginally independent, features are conditionally independent given…

人工智能 · 计算机科学 2022-12-07 David Heckerman

This paper offers a systematic method for creating medical knowledge-grounded patient records for use in activities involving differential diagnosis. Additionally, an assessment of machine learning models that can differentiate between…

机器学习 · 计算机科学 2024-01-26 Zaid Al-Ars , Obinna Agba , Zhuoran Guo , Christiaan Boerkamp , Ziyaad Jaber , Tareq Jaber

Source localization and spectral estimation are among the most fundamental problems in statistical and array signal processing. Methods which rely on the orthogonality of the signal and noise subspaces, such as Pisarenko's method, MUSIC,…

信息论 · 计算机科学 2019-04-16 Matthew W. Morency , Sergiy A. Vorobyov , Geert Leus

We consider linear structural equation models with explicitly modelled latent variables. In such models, observed and latent variables solve linear equations including stochastic noise terms. The goal of our work is to identify the direct…

统计方法学 · 统计学 2026-05-28 Tom Hochsprung , Nils Sturma , Jakob Runge , Mathias Drton , Andreas Gerhardus

Understanding the causal effects of organ-specific features from medical imaging on clinical outcomes is essential for biomedical research and patient care. We propose a novel Functional Linear Structural Equation Model (FLSEM) to capture…

统计方法学 · 统计学 2026-01-29 Ting Li , Ethan Fan , Tengfei Li , Hongtu Zhu

Time series forecasting remains a critical challenge across numerous domains, yet the effectiveness of complex models often varies unpredictably across datasets. Recent studies highlight the surprising competitiveness of simple linear…

机器学习 · 计算机科学 2026-05-14 Zheng Wang , Kaixuan Zhang , Wanfang Chen , Xiaonan Lu , Longyuan Li , Tobias Schlagenhauf

Rare diseases are very difficult to identify among large number of other possible diagnoses. Better availability of patient data and improvement in machine learning algorithms empower us to tackle this problem computationally. In this…

机器学习 · 计算机科学 2016-09-07 Ravi Garg , Shu Dong , Sanjiv Shah , Siddhartha R Jonnalagadda

Heterogeneous data from multiple populations, sub-groups, or sources is often represented as a ``mixture model'' with a single latent class influencing all of the observed covariates. Heterogeneity can be resolved at multiple levels by…

机器学习 · 计算机科学 2024-12-16 Bijan Mazaheri , Chandler Squires , Caroline Uhler

Weak identification arises in many statistical problems when key variables exhibit weak correlations-for example, when instrumental variables correlate weakly with treatment, or when proxy variables correlate weakly with unmeasured…

统计理论 · 数学 2025-11-12 Rui Wang , Kwun Chuen Gary Chan , Ting Ye

Causal representation learning aims to unveil latent high-level causal representations from observed low-level data. One of its primary tasks is to provide reliable assurance of identifying these latent causal models, known as…

机器学习 · 计算机科学 2024-12-02 Yuhang Liu , Zhen Zhang , Dong Gong , Mingming Gong , Biwei Huang , Anton van den Hengel , Kun Zhang , Javen Qinfeng Shi

Modeling disease progression through multiple stages is critical for clinical decision-making for chronic diseases, e.g., cancer, diabetes, chronic kidney diseases, and so on. Existing approaches often model the disease progression as a…

机器学习 · 计算机科学 2025-03-04 Haoyu Yang , Sanjoy Dey , Pablo Meyer

The prediction of disease risk factors can screen vulnerable groups for effective prevention and treatment, so as to reduce their morbidity and mortality. Machine learning has a great demand for high-quality labeling information, and…

机器学习 · 计算机科学 2024-06-26 Yang Lin , Muqing Li , Ziyi Zhu , Yinqiu Feng , Lingxi Xiao , Zexi Chen

Real-time monitoring in modern medical research introduces functional longitudinal data, characterized by continuous-time measurements of outcomes, treatments, and confounders. This complexity leads to uncountably infinite…

统计方法学 · 统计学 2025-08-15 Andrew Ying

Computer models are commonly used to represent a wide range of real systems, but they often involve some unknown parameters. Estimating the parameters by collecting physical data becomes essential in many scientific fields, ranging from…

应用统计 · 统计学 2020-05-27 Chih-Li Sung , Beau David Barber , Berkley J. Walker

Discovering causal relations among observed variables in a given data set is a major objective in studies of statistics and artificial intelligence. Recently, some techniques to discover a unique causal model have been explored based on…

Causal discovery, the task of inferring causal structure from data, has the potential to uncover mechanistic insights from biological experiments, especially those involving perturbations. However, causal discovery algorithms over larger…

机器学习 · 计算机科学 2025-04-01 Menghua Wu , Yujia Bao , Regina Barzilay , Tommi Jaakkola

The development of data-driven heart sound classification models has been an active area of research in recent years. To develop such data-driven models in the first place, heart sound signals need to be captured using a signal acquisition…

音频与语音处理 · 电气工程与系统科学 2022-11-15 Davoud Shariat Panah , Andrew Hines , Susan McKeever

Causal inference from observational data following the restricted structural causal model (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or nonlinearity.…

统计方法学 · 统计学 2021-09-06 Kang Du , Yu Xiang