Constructing Evidence-Based Tailoring Variables for Adaptive Interventions

This paper proposes a systematic framework for empirically developing evidence-based tailoring variables for adaptive interventions, arguing that while secondary data can be used, specifically designed optimization experiments (such as SMARTs or factorial designs) provide the most direct causal evidence for determining optimal measurement times, decision points, and cutoffs.

John J. Dziak, Inbal Nahum-ShaniThu, 12 Ma📊 stat

Causal Meta-Analysis: Rethinking the Foundations of Evidence-Based Medicine

This paper proposes a causal framework for meta-analysis that introduces novel aggregation formulas for nonlinear effect measures to address the limitations of conventional methods, revealing that standard approaches can sometimes misleadingly suggest treatment benefits where causal effects are actually harmful.

Clément Berenfeld, Ahmed Boughdiri, Bénédicte Colnet, Wouter A. C. van Amsterdam, Aurélien Bellet, Rémi Khellaf, Erwan Scornet, Julie JosseThu, 12 Ma📊 stat

Optimally balancing exploration and exploitation to automate multi-fidelity statistical estimation

This paper proposes an adaptive algorithm that optimally balances the computational resources between estimating oracle statistics and constructing a multi-fidelity estimator, achieving mean-squared error comparable to the theoretical optimum while significantly reducing costs in applications like parametric PDEs and ice-sheet modeling.

Thomas Dixon, Alex Gorodetsky, John Jakeman, Akil Narayan, Yiming XuThu, 12 Ma📊 stat

Offline Dynamic Inventory and Pricing Strategy: Addressing Censored and Dependent Demand

This paper proposes a novel data-driven framework using offline reinforcement learning and survival analysis to estimate optimal pricing and inventory control policies in sequential decision-making environments characterized by censored and dependent demand, overcoming challenges like missing profit information and non-stationarity through high-order Markov decision process approximations and finite-sample regret guarantees.

Korel Gundem, Zhengling QiThu, 12 Ma📊 stat

Impact of existence and nonexistence of pivot on the coverage of empirical best linear prediction intervals for small areas

This paper advances the theory of small area prediction intervals by analytically demonstrating that the coverage error of empirical best linear predictors depends critically on the existence of a pivot, revealing that standard parametric bootstrap methods fail to achieve optimal O(m3/2)O(m^{-3/2}) accuracy without it and proposing a double parametric bootstrap approach to correct this deficiency.

Yuting Chen, Masayo Y. Hirose, Partha LahiriThu, 12 Ma📊 stat

Losing dimensions: Geometric memorization in generative diffusion

This paper proposes a geometric memorization theory demonstrating that as training data becomes scarce, diffusion models undergo a smooth, gradual collapse in latent dimensionality where salient features and finer details progressively freeze out, leading to near point-wise replication of training examples rather than an abrupt transition from generalization to exact copying.

Beatrice Achilli, Enrico Ventura, Gianluigi Silvestri, Bao Pham, Gabriel Raya, Dmitry Krotov, Carlo Lucibello, Luca AmbrogioniThu, 12 Ma📊 stat

Nonparametric estimation of a state entry time distribution conditional on a "past" state occupation in a progressive multistate model with current status data

This paper proposes and evaluates two nonparametric methods for estimating state entry time distributions and occupation probabilities in progressive multistate models with current status data, addressing the challenges of interval censoring through fractional at-risk sets and marginal probability ratios, and demonstrating their effectiveness via simulations and a breast cancer case study.

Samuel Anyaso-Samuel, Somnath DattaThu, 12 Ma📊 stat

When should we trust the annotation? Selective prediction for molecular structure retrieval from mass spectra

This paper introduces a selective prediction framework for molecular structure retrieval from mass spectra that leverages retrieval-level uncertainty and distribution-free risk control to allow models to abstain from low-confidence predictions, thereby ensuring annotations meet specified error rate constraints in high-stakes applications.

Mira Jürgens, Gaetan De Waele, Morteza Rakhshaninejad, Willem WaegemanThu, 12 Ma📊 stat