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Counterfactual inference is a useful tool for comparing outcomes of interventions on complex systems. It requires us to represent the system in form of a structural causal model, complete with a causal diagram, probabilistic assumptions on…

Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

Quantitative Methods · Quantitative Biology 2024-07-12 Vincent D. Zaballa , Elliot E. Hui

In systems biology, it is common to measure biochemical entities at different levels of the same biological system. One of the central problems for the data fusion of such data sets is the heterogeneity of the data. This thesis discusses…

Genomics · Quantitative Biology 2019-08-27 Yipeng Song

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

We consider the problem of causal discovery (structure learning) from heterogeneous observational data. Most existing methods assume a homogeneous sampling scheme, which leads to misleading conclusions when violated in many applications. To…

Methodology · Statistics 2022-02-01 Fangting Zhou , Kejun He , Yang Ni

Diffusion models have demonstrated impressive capabilities in synthesizing diverse content. However, despite their high-quality outputs, these models often perpetuate social biases, including those related to gender and race. These biases…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Yingdong Shi , Changming Li , Yifan Wang , Yongxiang Zhao , Anqi Pang , Sibei Yang , Jingyi Yu , Kan Ren

Machine learning approaches commonly rely on the assumption of independent and identically distributed (i.i.d.) data. In reality, however, this assumption is almost always violated due to distribution shifts between environments. Although…

Machine Learning · Computer Science 2022-10-18 Ronan Perry , Julius von Kügelgen , Bernhard Schölkopf

We discuss models and data of crowd disasters, crime, terrorism, war and disease spreading to show that conventional recipes, such as deterrence strategies, are often not effective and sufficient to contain them. Many common approaches do…

We explore the effect of finite population sampling in design problems with many variables cross-classified in many ways. In particular, we investigate designs where we wish to sample individuals belonging to different groups for which the…

Methodology · Statistics 2017-11-30 Simon C. Shaw , Michael Goldstein

We present a weighted estimator of the covariance and correlation in bipartite complex systems with a double layer of heterogeneity. The advantage provided by the weighted estimators lies in the fact that the unweighted sample covariance…

Data Analysis, Statistics and Probability · Physics 2016-12-22 Elena Puccio , Jyrki Piilo , Michele Tumminello

Spatial systems with heterogeneities are ubiquitous in nature, from precipitation, temperature and soil gradients controlling vegetation growth to morphogen gradients controlling gene expression in embryos. Such systems, generally described…

Dynamical Systems · Mathematics 2023-05-10 Denis D. Patterson , Simon A. Levin , A. Carla Staver , Jonathan D. Touboul

Predicting species persistence within ecological communities is a fundamental challenge for both empirical and theoretical ecology. Existing methods span from mechanistic models, whose parameters are difficult to estimate from data, to…

Populations and Evolution · Quantitative Biology 2026-04-30 Davide Bernardi , Giorgio Nicoletti , Prajwal Padmanabha , Samir Suweis , Sandro Azaele , Simon A. Levin , Andrea Rinaldo , Amos Maritan

Empirical complex systems can be characterized not only by pairwise interactions, but also by higher-order (group) interactions influencing collective phenomena, from metabolic reactions to epidemics. Nevertheless, higher-order networks'…

Physics and Society · Physics 2026-01-01 Maxime Lucas , Luca Gallo , Arsham Ghavasieh , Federico Battiston , Manlio De Domenico

Large-scale social networks are thought to contribute to polarization by amplifying people's biases. However, the complexity of these technologies makes it difficult to identify the mechanisms responsible and to evaluate mitigation…

Social and Information Networks · Computer Science 2022-10-07 Mathew D. Hardy , Bill D. Thompson , P. M. Krafft , Thomas L. Griffiths

We propose a novel class of network models for temporal dyadic interaction data. Our goal is to capture a number of important features often observed in social interactions: sparsity, degree heterogeneity, community structure and…

Machine Learning · Statistics 2018-10-30 Xenia Miscouridou , François Caron , Yee Whye Teh

We develop a diffusion approximation for systems subject to fast random resetting by small amplitudes. Equivalently, this describes systems with frequent but small catastrophes. We demonstrate the validity of the approximation by computing…

Statistical Mechanics · Physics 2026-02-26 Tobias Galla

We derive a family of loss functions to train models in the presence of sampling bias. Examples are when the prevalence of a pathology differs from its sampling rate in the training dataset, or when a machine learning practioner rebalances…

Many systems with propagation dynamics, such as spike propagation in neural networks and spreading of infectious diseases, can be approximated by autoregressive models. The estimation of model parameters can be complicated by the…

Neurons and Cognition · Quantitative Biology 2021-01-01 Jorge de Heuvel , Jens Wilting , Moritz Becker , Viola Priesemann , Johannes Zierenberg

Network analysis provides powerful tools to learn about a variety of social systems. However, most analyses implicitly assume that the considered relational data is error-free, reliable and accurately reflects the system to be analysed.…

Social and Information Networks · Computer Science 2022-01-12 Felix I. Stamm , Leonie Neuhäuser , Florian Lemmerich , Michael T. Schaub , Markus Strohmaier

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer