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math.PR updates on arXiv.org

Visibility in the Boolean Model on Harmonic Manifolds Global estimates on the Brenier map Geodesics and Wandering Exponents in Brochette First-Passage Percolation State-dependent inverse-subordinator time changes of regenerative processes: Excursion structure and multiscale occupation-time limits Randomly twisted transfer operators and singular values statistics Generalized Bessel-Dunkl diffusions An almost sure invariance principle for the Takagi-van der Waerden class functions Central limit theorems for high dimensional lattice polytopes: cosmological polytopes Convergence rate estimates for semigroups and heat kernels associated with resistance forms Second-order Poincaré inequalities and localization on the Poisson space Maximum Probability of Independence in Transitive Matroids On global solutions to the semidiscrete stochastic heat equation The Poisson Tail Conjecture for primes in short intervals A Complete Spectral Analysis of the CEV Operator with Applications to Arbitrage Holographic functions and neural networks From Betting to Empirical Bernstein LIL Concentration of General Stochastic Approximation Under Heavy-Tailed Markovian Noise Pointwise Generalization in Deep Neural Networks Bayesian Latent Space Models for Graphs Are Misspecified: Toward Robust Inference via Generalized Posteriors Wasserstein bounds for denoising diffusion probabilistic models via the Föllmer process A note on connections between the Föllmer process and the denoising diffusion probabilistic model Simple Approximation and Derivative Free Inference-Time Scaling for Diffusion Models via Sequential Monte Carlo on Path Measures Diffusion-Based Stochastic Operator Networks for Uncertainty Quantification in Stochastic Partial Differential Equations A Fourier perspective on the learning dynamics of neural networks: from sample complexities to mechanistic insights Propagation of Chaos in Contextual Flow Maps Dimension-Uniform Discretization Analysis of Preconditioned Annealed Langevin Dynamics for Multimodal Gaussian Mixtures $α$-TCAV: A Unified Framework for Testing with Concept Activation Vectors Scaling Laws from Sequential Feature Recovery: A Solvable Hierarchical Model On the Limits of Latent Reuse in Diffusion Models State-of-art minibatches via novel DPP kernels: discretization, wavelets, and rough objectives
Beyond Group Means and Into the World of Individuals: A D...
Roussel Rahman · 2025-03-18 · via math.PR updates on arXiv.org

Traditionally, experimental effects on humans are investigated at the group level. In this work, we present a distributional ``spotlight'' to investigate experimental effects at the individual level. Specifically, we estimate the effects on individuals through the changes in the probability distributions of their experimental data across conditions. We test this approach on Reaction Time (RT) data from 10 individuals in a visual search task, examining the effects of (1) information set sizes and (2) the presence or absence of a target on their processing speed. The changes in individuals' RT distributions are measured using three approaches: (i) direct measurements of distributional changes are compared against the changes captured by two established models of RT: (ii) the ex-Gaussian distribution and (iii) the Drift-Diffusion model. We find that direct measurement of distributional changes provides the clearest view of the effects on individuals and highlights the presence of two sub-groups based on the effects experienced: one that shows neither effect and the other showing only the target-presence effect. Moreover, the intra-individual changes across conditions (i.e., the experimental effects) appear much smaller than the inter-individual differences (i.e., the random effects). Generally, these results highlight the merits of going beyond group means and examining the effects on individuals, as well as the effectiveness of the distributional spotlight in such pursuits.