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Knowledge of the underlying causal relations is essential for inferring the effect of interventions in complex systems. In a widely studied approach, structural causal models postulate noisy functional relations among interacting variables,…

Methodology · Statistics 2024-06-21 David Strieder , Mathias Drton

A plethora of prediction models of SARS-CoV-2 pandemic were proposed in the past. Prediction performances not only depend on the structure and features of the model, but also on its parametrization. Official databases are often biased due…

Populations and Evolution · Quantitative Biology 2021-09-27 Yuri Kheifetz , Holger Kirsten , Markus Scholz

Time series models with recurrent neural networks (RNNs) can have high accuracy but are unfortunately difficult to interpret as a result of feature-interactions, temporal-interactions, and non-linear transformations. Interpretability is…

Machine Learning · Computer Science 2021-09-17 Asif Rahman , Yale Chang , Jonathan Rubin

Mathematical models in epidemiology are an indispensable tool to determine the dynamics and important characteristics of infectious diseases. Apart from their scientific merit, these models are often used to inform political decisions and…

Causal disentanglement aims to uncover a representation of data using latent variables that are interrelated through a causal model. Such a representation is identifiable if the latent model that explains the data is unique. In this paper,…

Processes such as disease propagation and information diffusion often spread over some latent network structure which must be learned from observation. Given a set of unlabeled training examples representing occurrences of an event type of…

Machine Learning · Statistics 2017-01-09 Sriram Somanchi , Daniel B. Neill

Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are…

Machine Learning · Computer Science 2025-10-15 Huiyang Yi , Yanyan He , Duxin Chen , Mingyu Kang , He Wang , Wenwu Yu

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

Methodology · Statistics 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Unsupervised medical anomaly detection is severely limited by the scarcity of normal training samples. Existing methods typically train dedicated models for each dataset or disease, requiring hundreds of normal images per task and lacking…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Ning Zhu

The interpretation of the experimental data collected by testing systems across input datasets and model parameters is of strategic importance for system design and implementation. In particular, finding relationships between variables and…

Information Retrieval · Computer Science 2018-06-26 Massimo Melucci

We discuss issues of structural and practical identifiability of partially observed differential equations which are often applied in systems biology. The development of mathematical methods to investigate structural non-identifiability has…

Symbolic regression (SR) traditionally balances accuracy and complexity, implicitly assuming that simpler formulas are structurally more rational. We argue that this assumption is insufficient: existing algorithms often exploit this metric…

Machine Learning · Computer Science 2026-02-03 Zihan Yu , Guanren Wang , Jingtao Ding , Huandong Wang , Yong Li

Data with spatial-temporal attributes are prevalent across many research fields, and statistical models for analyzing spatio-temporal relationships are widely used. Existing reviews focus either on specific domains or model types, creating…

Applications · Statistics 2025-11-04 Isabella Habereder , Thomas Kneib , Isao Echizen , Timo Spinde

Biological processes are often modeled by ordinary differential equations with unknown parameters. The unknown parameters are usually estimated from experimental data. In some cases, due to the structure of the model, this estimation…

Symbolic Computation · Computer Science 2020-11-17 Hoon Hong , Alexey Ovchinnikov , Gleb Pogudin , Chee Yap

Under the International Financial Reporting Standards (IFRS) 9, credit losses ought to be recognised timeously and accurately. This requirement belies a certain degree of dynamicity when estimating the constituent parts of a credit loss…

Risk Management · Quantitative Finance 2025-12-16 Arno Botha , Tanja Verster

We study identifiability in continuous-time linear stationary stochastic differential equations with known causal structure. Unlike existing approaches, we relax the assumption of a known diffusion matrix, thereby respecting the model's…

Statistics Theory · Mathematics 2026-03-10 Gijs van Seeventer , Saber Salehkaleybar

This paper addresses intervention-based causal representation learning (CRL) under a general nonparametric latent causal model and an unknown transformation that maps the latent variables to the observed variables. Linear and general…

Machine Learning · Computer Science 2025-07-22 Burak Varıcı , Emre Acartürk , Karthikeyan Shanmugam , Abhishek Kumar , Ali Tajer

This paper introduces a new hybrid memory analysis, Structural Analysis, which combines an expressive shape analysis style abstract domain with efficient and simple points-to style transfer functions. Using data from empirical studies on…

Programming Languages · Computer Science 2012-01-06 Mark Marron

In this paper we study the susceptible-infectious (SI) epidemiological model using dynamical graphs. Dynamical structures have been recently applied in many areas including complex systems. Dynamical structures include the mutual…

Populations and Evolution · Quantitative Biology 2011-10-19 Jose L. Herrera , Gilberto Gonzalez-Parra

Compartmental models, especially the Susceptible-Infected-Removed (SIR) model, have long been used to understand the behaviour of various diseases. Allowing parameters, such as the transmission rate, to be time-dependent functions makes it…

Methodology · Statistics 2024-09-27 Son Luu , Edward Susko , Lam Si Tung Ho
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