Dissecting Spectral Granger Causality through Partial Information Decomposition

This paper introduces Partial Decomposition of Granger Causality (PDGC), a novel framework leveraging Partial Information Decomposition to dissect multivariate spectral Granger causality into unique, redundant, and synergistic components, which was successfully applied to physiological networks to reveal distinct patterns of autonomic dysfunction in patients prone to neurally-mediated syncope.

Luca Faes, Gorana Mijatovic, Riccardo Pernice, Daniele Marinazzo, Sebastiano Stramaglia, Yuri AntonacciTue, 10 Ma🔬 physics

StablePCA: Distributionally Robust Learning of Shared Representations from Multi-Source Data

This paper introduces StablePCA, a distributionally robust framework for extracting shared low-dimensional representations from multi-source data by maximizing worst-case explained variance, and addresses its inherent nonconvexity through a convex relaxation solved by an efficient Mirror-Prox algorithm with global convergence guarantees and a data-dependent certificate for solution tightness.

Zhenyu Wang, Molei Liu, Jing Lei, Francis Bach, Zijian GuoTue, 10 Ma🤖 cs.LG

Conditional Rank-Rank Regression via Deep Conditional Transformation Models

This paper proposes a deep learning-based framework using deep conditional transformation models and cross-fitting to estimate conditional rank-rank regression for measuring within-group intergenerational mobility, offering improved accuracy and interpretability over traditional methods for both continuous and discrete outcomes while providing rigorous asymptotic theory and empirical evidence of significant mobility patterns in the U.S. and India.

Xiaoyi Wang, Long Feng, Zhaojun WangTue, 10 Ma🤖 cs.LG