A Semiparametric Nonlinear Mixed Effects Model with Penalized Splines Using Automatic Differentiation

This paper introduces a semiparametric nonlinear mixed-effects model that utilizes penalized splines for population trajectories and automatic differentiation via Template Model Builder for efficient likelihood maximization, demonstrating improved inferential performance and reduced computational burden in both simulations and an infant growth case study.

Matteo D'Alessandro, Magne Thoresen, Øystein SørensenFri, 13 Ma📊 stat

Including historical control data in simultaneous inference for pre-clinical multi-arm studies

This paper proposes a dynamic Bayesian borrowing approach with simultaneous credible intervals to effectively incorporate historical control data into pre-clinical multi-arm studies with binary outcomes, demonstrating that this method can significantly reduce animal use in toxicology while maintaining control over the familywise error rate and protecting against data drift.

Max Menssen, Carsten Kneuer, Gyamfi Akyianu, Christian Röver, Tim Friede, Frank SchaarschmidtFri, 13 Ma📊 stat

Causal Representation Learning with Optimal Compression under Complex Treatments

This paper addresses the challenges of hyperparameter selection and computational scalability in multi-treatment Individual Treatment Effect estimation by deriving a novel generalization bound, proposing an optimal theoretical estimator for balancing weights, and introducing a scalable Treatment Aggregation strategy within a generative Multi-Treatment CausalEGM framework that outperforms traditional models in accuracy and efficiency.

Wanting Liang, Haoang Chi, Zhiheng ZhangFri, 13 Ma📊 stat

Distributionally balanced sampling designs

This paper introduces Distributionally Balanced Designs (DBD), a new probability sampling method that minimizes the energy distance between sample and population auxiliary distributions through optimized circular ordering, thereby achieving superior representativeness and lower estimation variance compared to existing state-of-the-art techniques, particularly in resource-constrained fields like ecology and forestry.

Anton Grafström, Wilmer PrentiusFri, 13 Ma📊 stat

Bayesian Model Calibration with Integrated Discrepancy: Addressing Inexact Dislocation Dynamics Models

This paper proposes a novel Bayesian model calibration framework that integrates discrepancy directly into the simulator via Gaussian processes, challenging the traditional Kennedy and O'Hagan approach of treating discrepancy as a separate term, and demonstrates its effectiveness in calibrating Discrete Dislocation Dynamics models against Molecular Dynamics observations of critical stress.

Liam Myhill, Enrique Martinez Saez, Sez RusscherFri, 13 Ma📊 stat

Uncovering Locally Low-dimensional Structure in Networks by Locally Optimal Spectral Embedding

This paper introduces Local Adjacency Spectral Embedding (LASE), a novel method that overcomes the limitations of global spectral embedding by uncovering locally low-dimensional network structures through weighted spectral decomposition, thereby improving local reconstruction, visualization, and theoretical guarantees via finite-sample bounds and spectral gap analysis.

Hannah Sansford, Nick Whiteley, Patrick Rubin-DelanchyFri, 13 Ma📊 stat

Low-Rank and Sparse Drift Estimation for High-Dimensional Lévy-Driven Ornstein--Uhlenbeck Processes

This paper proposes and analyzes a convex estimator for the drift matrix of high-dimensional Lévy-driven Ornstein–Uhlenbeck processes, demonstrating that exploiting a low-rank plus sparse structure yields improved dimension dependence in the non-asymptotic risk bound compared to purely sparse approaches while maintaining consistent behavior across different Lévy regimes.

Marina PalaistiFri, 13 Ma📊 stat

MCMC using bouncy\textit{bouncy} Hamiltonian dynamics: A unifying framework for Hamiltonian Monte Carlo and piecewise deterministic Markov process samplers

This paper introduces a unifying framework based on bouncy Hamiltonian dynamics that rigorously connects Hamiltonian Monte Carlo and piecewise deterministic Markov process samplers, enabling the construction of rejection-free, competitive samplers that bridge the gap between these two major Bayesian inference paradigms.

Andrew Chin, Akihiko Nishimura2026-03-10📊 stat

Computationally efficient multi-level Gaussian process regression for functional data observed under completely or partially regular sampling designs

This paper introduces a computationally efficient multi-level Gaussian process regression framework with exact analytic expressions for log-likelihood and posterior distributions under regular or partially regular sampling designs, enabling the analysis of large functional datasets that are otherwise intractable with standard implementations.

Adam Gorm Hoffmann, Claus Thorn Ekstrøm, Andreas Kryger Jensen2026-03-10📊 stat