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This paper establishes fundamental results for statistical inference of diagnostic classification models (DCM). The results are developed at a high level of generality, applicable to essentially all diagnostic classification models. In…

Statistics Theory · Mathematics 2025-01-08 Guanhua Fang , Jingchen Liu , Zhiliang Ying

Noisy training labels can hurt model performance. Most approaches that aim to address label noise assume label noise is independent from the input features. In practice, however, label noise is often feature or \textit{instance-dependent},…

Machine Learning · Computer Science 2023-07-12 Donna Tjandra , Jenna Wiens

Multi-category data arise in diverse fields including marketing, chemistry, public policy, genomics, political science, and ecology. We consider the problem of estimating ratios of category-specific means in a fully nonparametric setting,…

Methodology · Statistics 2025-10-29 Grant Hopkins , Sarah Teichman , Ellen Graham , Amy D Willis

Structural identifiability concerns the question of which unknown parameters of a model can be recovered from (perfect) input-output data. If all of the parameters of a model can be recovered from data, the model is said to be identifiable.…

Systems and Control · Electrical Eng. & Systems 2025-06-11 Nicolette Meshkat , Alexey Ovchinnikov , Thomas Scanlon

In an Markov decision process (MDP), unobservable confounders may exist and have impacts on the data generating process, so that the classic off-policy evaluation (OPE) estimators may fail to identify the true value function of the target…

Machine Learning · Statistics 2022-09-13 Miao Lu , Wenhao Yang , Liangyu Zhang , Zhihua Zhang

Computational cardiovascular models are promising tools for clinical decision support, particularly in complex conditions, such as intraoperative hypotension (IOH). IOH arises from different mechanisms, making treatment selection…

Medical Physics · Physics 2025-09-19 Jan-Niklas Thiel , Marko Zlicar , Ulrich Steinseifer , Borut Kirn , Michael Neidlin

When training clinical prediction models from electronic health records (EHRs), a key concern should be a model's ability to sustain performance over time when deployed, even as care practices, database systems, and population demographics…

The parameter estimation of epidemic data-driven models is a crucial task. In some cases, we can formulate a better model by describing uncertainty with appropriate noise terms. However, because of the limited extent and partial…

Methodology · Statistics 2021-11-30 Fernando Baltazar-Larios , Francisco Delgado-Vences , Saul Diaz-Infante

Nonignorable missing outcomes are common in real world datasets and often require strong parametric assumptions to achieve identification. These assumptions can be implausible or untestable, and so we may forgo them in favour of partially…

Methodology · Statistics 2023-10-19 Daniel Daly-Grafstein , Paul Gustafson

This work is concerned with the identifiability of metabolic parameters from multi-region measurement data in quantitative PET imaging. It shows that, for the frequently used two-tissue compartment model and under reasonable assumptions, it…

Optimization and Control · Mathematics 2023-05-29 Martin Holler , Erion Morina , Georg Schramm

Marginal structural models are a popular method for estimating causal effects in the presence of time-varying exposures. In spite of their popularity, no scalable non-parametric estimator exist for marginal structural models with…

Methodology · Statistics 2024-09-30 Axel Martin , Michele Santacatterina , Iván Díaz

Compartmental models are an important quantitative tool in epidemiology, enabling us to forecast the course of a communicable disease. However, the model parameters, such as the infectivity rate of the disease, are riddled with…

Populations and Evolution · Quantitative Biology 2023-01-12 Konstantinos Mamis , Mohammad Farazmand

Epidemiological forecasting from surveillance data is a hard problem and hybridizing mechanistic compartmental models with neural models is a natural direction. The mechanistic structure helps keep trajectories epidemiologically plausible,…

Machine Learning · Computer Science 2026-02-09 Yiqi Su , Ray Lee , Jiaming Cui , Naren Ramakrishnan

A prompt public health response to a new epidemic relies on the ability to monitor and predict its evolution in real time as data accumulate. The 2009 A/H1N1 outbreak in the UK revealed pandemic data as noisy, contaminated, potentially…

Effective epidemic modeling and surveillance require computationally efficient methods that can continuously update estimates as new data becomes available. This paper explores the application of an online variant of Sequential Monte Carlo…

Populations and Evolution · Quantitative Biology 2025-09-09 Dhorasso Temfack , Jason Wyse

Identifiability concerns finding which unknown parameters of a model can be quantified from given input-output data. Many linear ODE models, used in systems biology and pharmacokinetics, are unidentifiable, which means that parameters can…

Algebraic Geometry · Mathematics 2013-12-12 Nicolette Meshkat , Seth Sullivant

Mechanistic dynamic models of biochemical networks such as Ordinary Differential Equations (ODEs) contain unknown parameters like the reaction rate constants and the initial concentrations of the compounds. The large number of parameters as…

Data Analysis, Statistics and Probability · Physics 2017-08-14 Clemens Kreutz , Andreas Raue , Jens Timmer

The successful application of modern machine learning for time series classification is often hampered by limitations in quality and quantity of available training data. To overcome these limitations, available domain expert knowledge in…

Machine Learning · Computer Science 2025-02-07 Janis Norden , Elisa Oostwal , Michael Chappell , Peter Tino , Kerstin Bunte

Identifiability describes the possibility of determining the values of the unknown parameters that characterize a dynamic system from the knowledge of its inputs and outputs. This paper finds the general analytical condition that fully…

Optimization and Control · Mathematics 2023-05-03 Agostino Martinelli

This paper addresses the observability analysis and the optimal design of observation parameters in the presence of noisy measurements and parametric uncertainties. The main underlying frameworks are the nonlinear constrained moving horizon…

Systems and Control · Electrical Eng. & Systems 2021-02-05 Mazen Alamir