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A novel information-theoretic approach is proposed to assess the global practical identifiability of Bayesian statistical models. Based on the concept of conditional mutual information, an estimate of information gained for each model…

Methodology · Statistics 2024-04-22 Sahil Bhola , Karthik Duraisamy

We introduce Pathogen.jl for simulation and inference of transmission network individual level models (TN-ILMs) of infectious disease spread in continuous time. TN-ILMs can be used to jointly infer transmission networks, event times, and…

Applications · Statistics 2021-08-27 Justin Angevaare , Zeny Feng , Rob Deardon

Learning the causal structure behind data is invaluable for improving generalization and obtaining high-quality explanations. We propose a novel framework, Invariant Structure Learning (ISL), that is designed to improve causal structure…

Machine Learning · Computer Science 2022-06-15 Yunhao Ge , Sercan Ö. Arik , Jinsung Yoon , Ao Xu , Laurent Itti , Tomas Pfister

Practical identifiability is a critical concern in data-driven modeling of mathematical systems. In this paper, we propose a novel framework for practical identifiability analysis to evaluate parameter identifiability in mathematical models…

Quantitative Methods · Quantitative Biology 2026-01-06 Shun Wang , Wenrui Hao

In many population-based medical studies, the specific cause of death is unidentified, unreliable or even unavailable. Relative survival analysis addresses this scenario, outside of standard (competing risks) survival analysis, to…

Computation · Statistics 2024-08-29 Rim Alhajal , Oskar Laverny

Epidemic forecasting faces a fundamental challenge: human behavior dynamically responds to disease spread, creating feedback loops that induce distribution shifts at policy intervention points. This renders data-driven models unreliable…

Machine Learning · Computer Science 2026-05-27 Haochun Wang , Sendong Zhao , Jingbo Wang , Yanrui Du , Bing Qin , Ting Liu

Copulas are functions that describe dependence structures of random vectors, without describing their univariate marginals. In statistics, the separation is sometimes useful, the quality and/or quantity of available information on these two…

Computation · Statistics 2024-11-14 Oskar Laverny , Santiago Jimenez

Statistical latent class models are widely used in social and psychological researches, yet it is often difficult to establish the identifiability of the model parameters. In this paper we consider the identifiability issue of a family of…

Methodology · Statistics 2016-03-15 Gongjun Xu

Compartmental models are valuable tools for investigating infectious diseases. Researchers building such models typically begin with a simple structure where compartments correspond to individuals with different epidemiological statuses,…

Populations and Evolution · Quantitative Biology 2023-07-21 Darren Flynn-Primrose , Steven C. Walker , Michael Li , Benjamin M. Bolker , David J. D. Earn , Jonathan Dushoff

The concept of dynamical compensation has been recently introduced to describe the ability of a biological system to keep its output dynamics unchanged in the face of varying parameters. Here we show that, according to its original…

Quantitative Methods · Quantitative Biology 2018-02-07 Alejandro F. Villaverde , Julio R. Banga

Inferring the effect of interventions within complex systems is a fundamental problem of statistics. A widely studied approach employs structural causal models that postulate noisy functional relations among a set of interacting variables.…

Methodology · Statistics 2024-02-14 David Strieder , Mathias Drton

In this paper, we show that many structured epidemic models may be described using a straightforward product structure. Such products, derived from products of directed graphs, may represent useful refinements including geographic and…

Populations and Evolution · Quantitative Biology 2017-06-30 Lee Worden , Travis C. Porco

Systematic reviews and meta-analyses rely on converting narrative articles into structured, numerically grounded study records. Despite rapid advances in large language models (LLMs), it remains unclear whether they can meet the structural…

Computation and Language · Computer Science 2026-02-12 Zhiyin Tan , Jennifer D'Souza

Assessing the practical identifiability of epidemic models is essential for determining whether parameters can be meaningfully estimated from observed data. Monte Carlo (MC) methods provide an accessible and intuitive framework; however,…

Methodology · Statistics 2025-10-01 Chiara Mattamira , Olivia Prosper Feldman

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…

Machine Learning · Computer Science 2025-04-01 Menghua Wu , Yujia Bao , Regina Barzilay , Tommi Jaakkola

Clinicians are interested in better understanding complex diseases, such as cancer or rare diseases, so they need to produce and exchange data to mutualize sources and join forces. To do so and ensure privacy, a natural way consists in…

Databases · Computer Science 2025-09-29 Nelly Barret , Anna Bernasconi , Boris Bikbov , Pietro Pinoli

Survival analysis is central to clinical research, informing patient prognoses, guiding treatment decisions, and optimising resource allocation. Accurate time-to-event predictions not only improve quality of life but also reveal risk…

Graph theory provides a convenient framework for modeling and solving structured optimization problems. Under this framework, the modeler can arrange/assemble the components of an optimization model (variables, constraints, objective…

Optimization and Control · Mathematics 2026-05-11 David L Cole , Sungho Shin , Victor Zavala

Identifiability concerns finding which unknown parameters of a model can be estimated from given input-output data. If some subset of the parameters of a model cannot be determined given input-output data, then we say the model is…

Algebraic Geometry · Mathematics 2014-11-03 Nicolette Meshkat , Seth Sullivant , Marisa Eisenberg

Advanced epidemic forecasting is critical for enabling precision containment strategies, highlighting its strategic importance for public health security. While recent advances in Large Language Models (LLMs) have demonstrated effectiveness…

Machine Learning · Computer Science 2025-05-20 Chenghua Gong , Rui Sun , Yuhao Zheng , Juyuan Zhang , Tianjun Gu , Liming Pan , Linyuan Lv