activity
20242026
most citedTaming Uncertainty in a Complex World: The Rise of Uncertainty Quantification -- A Tutorial for Beginners

4 citations · 7 across the 9 of their papers we have counts for

collaborators

10 papers

math.DS2026

Causal Fingerprints Reveal Hidden Mechanisms in Partially-Observed Dynamical Systems

Zhang Jiang, Marios Andreou, Nan Chen

In partially-observed dynamical systems, distinct hidden mechanisms can produce similar observable summary statistics while explaining individual events differently. We introduce c…

physics.ao-ph2026

TianJi-Environ: An Autonomous AI Scientist for Atmospheric Environmental Research

Haoluo Zhao, Hongchun Zhang, Nan Li +6

As atmospheric environmental prediction continues to improve, interpretable validation of pollution mechanisms and feedback processes has become a main challenge in atmospheric che…

math.DS2026

Mechanisms and Pathways of Extreme Events in Partially-Observed Stochastic Dynamical Systems

Charlotte Moser, Nan Chen, Marios Andreou

Extreme events occur across the natural, engineering, and socioeconomic sciences, where rare but high-impact episodes can lead to disproportionate consequences that pose major chal…

math.NA2026

A Continuous-Time Ensemble Kalman-Bucy Smoother for Causal Inference and Model Discovery

Zhang Jiang, Marios Andreou, Sebastian Reich +1

Data assimilation (DA) integrates observational information with model predictions to improve state estimation in complex systems. While filtering provides the basis for online for…

stat.ML2025

Bridging Prediction and Attribution: Identifying Forward and Backward Causal Influence Ranges Using Assimilative Causal Inference

Marios Andreou, Nan Chen

Causal inference identifies cause-and-effect relationships between variables. While traditional approaches rely on data to reveal causal links, a recently developed method, assimil…

cs.LG2025

Assimilative Causal Inference

Marios Andreou, Nan Chen, Erik Bollt

Causal inference is fundamental across scientific disciplines, yet existing methods struggle to capture instantaneous, time-evolving causal relationships in complex, high-dimension…

eess.SY2024

An Adaptive Online Smoother with Closed-Form Solutions and Information-Theoretic Lag Selection for Conditional Gaussian Nonlinear Systems

Marios Andreou, Nan Chen, Yingda Li

Data assimilation (DA) combines partial observations with dynamical models to improve state estimation. Filter-based DA uses only past and present data and is the prerequisite for…

math.DS2024

A Martingale-Free Introduction to Conditional Gaussian Nonlinear Systems

Marios Andreou, Nan Chen

The conditional Gaussian nonlinear system (CGNS) is a broad class of nonlinear stochastic dynamical systems. Given the trajectories for a subset of state variables, the remaining f…

math.DS2024★ 4 cited

Taming Uncertainty in a Complex World: The Rise of Uncertainty Quantification -- A Tutorial for Beginners

Nan Chen, Stephen Wiggins, Marios Andreou

This paper provides a tutorial about uncertainty quantification (UQ) for those who have no background but are interested in learning more in this area. It exploits many very simple…

physics.ao-ph2024★ 3 cited

Statistical Response of ENSO Complexity to Initial Condition and Model Parameter Perturbations

Marios Andreou, Nan Chen

Studying the response of a climate system to perturbations has practical significance. Standard methods in computing the trajectory-wise deviation caused by perturbations may suffe…