An intuitive rearranging of the Yates covariance decomposition for probabilistic verification of forecasts with the Brier score

This paper proposes a simple algebraic rearrangement of the Yates covariance decomposition for the Brier score that decomposes forecast error into three non-negative terms—variance mismatch, correlation deficit, and calibration-in-the-large—thereby making the conditions for optimal probabilistic forecasting transparent.

Bruno Hebling Vieira (Methods of Plasticity Research, Department of Psychology, University of Zurich, Zurich, Switzerland)Mon, 09 Ma🤖 cs.LG

Topological descriptors of foot clearance gait dynamics improve differential diagnosis of Parkinsonism

This study demonstrates that integrating Topological Data Analysis with machine learning on foot clearance gait dynamics significantly improves the differential diagnosis between idiopathic Parkinson's disease and vascular Parkinsonism, achieving 83% accuracy and revealing sensitivity to levodopa-induced gait changes.

Jhonathan Barrios, Wolfram Erlhagen, Miguel F. Gago, Estela Bicho, Flora FerreiraMon, 09 Ma🤖 cs.LG

On noncentral Wishart mixtures of noncentral Wisharts and their use for testing random effects in factorial design models

This paper demonstrates that a noncentral Wishart mixture of noncentral Wishart distributions with identical degrees of freedom remains a noncentral Wishart distribution, a result used to derive the finite-sample distribution for testing random effects in two-factor and general factorial design models with multivariate normal data.

Christian Genest, Anne MacKay, Frédéric Ouimet2026-03-10📊 stat

Estimating the distance at which narwhal (Monodon monoceros)(\textit{Monodon monoceros}) respond to disturbance: a penalized threshold hidden Markov model

This paper introduces a novel lasso-penalized threshold hidden Markov model that effectively distinguishes meaningful behavioral shifts from spurious noise, revealing that narwhals react to vessel disturbances up to 4 kilometers away by altering their movement patterns and diving deeper.

Fanny Dupont, Marianne Marcoux, Nigel E. Hussey + 2 more2026-03-06📊 stat

Identifying Treatment Effect Heterogeneity with Bayesian Hierarchical Adjustable Random Partition in Adaptive Enrichment Trials

This paper introduces the Bayesian Hierarchical Adjustable Random Partition (BHARP) model, a self-contained framework that utilizes a finite mixture model and reversible-jump Markov chain Monte Carlo sampling to automatically identify treatment effect heterogeneity and adjust information borrowing in adaptive enrichment trials, thereby outperforming existing methods in accuracy and precision.

Xianglin Zhao, Shirin Golchi, Jean-Philippe Gouin + 1 more2026-03-06📊 stat

Weather-Related Crash Risk Forecasting: A Deep Learning Approach for Heterogenous Spatiotemporal Data

This study proposes a deep learning framework that utilizes an ensemble of ConvLSTM models trained on overlapping spatial grids to effectively forecast weather-related traffic crash risk by capturing complex spatiotemporal dependencies and heterogeneity, demonstrating superior performance over baseline models in North Carolina's diverse high-risk zones.

Abimbola Ogungbire, Srinivas Pulugurtha2026-03-06💻 cs

Learning Risk Preferences in Markov Decision Processes: an Application to the Fourth Down Decision in the National Football League

This paper employs an inverse optimization framework on NFL play-by-play data to demonstrate that coaches' historically conservative fourth-down decisions are consistent with optimizing low quantiles of future value, revealing that their risk preferences have become more tolerant over time and vary based on field position.

Nathan Sandholtz, Lucas Wu, Martin Puterman + 1 more2026-03-06🔢 math