Visualizing high-dimensional loss landscapes with Hessian directions

L Böttcher, G Wheeler - Journal of Statistical Mechanics: Theory …, 2024 - iopscience.iop.org
Analyzing the geometric properties of high-dimensional loss functions, such as local
curvature and the existence of other optima around a certain point in loss space, can help …

A Q statistic with constant weights for assessing heterogeneity in meta‐analysis

E Kulinskaya, DC Hoaglin… - Research Synthesis …, 2021 - Wiley Online Library
The conventional Q statistic, using estimated inverse‐variance (IV) weights, underlies a
variety of problems in random‐effects meta‐analysis. In previous work on standardized …

Statistical Mechanics and Artificial Neural Networks: Principles, Models, and Applications

L Böttcher, G Wheeler - arXiv preprint arXiv:2405.10957, 2024 - arxiv.org
The field of neuroscience and the development of artificial neural networks (ANNs) have
mutually influenced each other, drawing from and contributing to many concepts initially …

Will Lanczos Iterations Generate Symmetric Quadrature Nodes?

W Li, Z Han, AJ Wathen, S Zhu - arXiv preprint arXiv:2401.17757, 2024 - arxiv.org
The Golub-Welsch algorithm [Math. Comp., 23: 221-230 (1969)] for computing Gaussian
quadrature rules is of importance in estimating quadratic forms. Quadrature rules based on …

[PDF][PDF] 基于拨备满足模型的无线传感网节点覆盖算法

马庆功, 丁宪成 - 太赫兹科学与电子信息学报, 2020 - researching.cn
针对无线传感网预覆盖过程中存在覆盖盲区以及数据频繁重传而导致的节点覆盖抑制现象,
提出了一种基于拨备满足模型的无线传感网网络覆盖算法. 设计一种新的无线传感网节点覆盖 …

Distribution-free complex hypothesis testing for single-cell RNA-seq differential expression analysis

M Gauthier, D Agniel, R Thiébaut, BP Hejblum - bioRxiv, 2021 - biorxiv.org
State-of-the-art methods for single-cell RNA sequencing (scRNA-seq) Differential
Expression Analysis (DEA) often rely on strong distributional assumptions that are difficult to …

[PDF][PDF] Analyzing shape, accuracy, and precison of shooting results with shotGroups

D Wollschläger - 2022 - mirror.lyrahosting.com
The shotGroups package adds functionality to the open source statistical environment R (R
Development Core Team, 2021a). 1 It provides functions to read in, plot, statistically …

[PDF][PDF] Statistical methods for leveraging high-dimensional data from high-throughput measurements in vaccine clinical development

BP Hejblum - 2024 - hal.science
6 Directions for future research 71 6.1 Multi-modal data integration to enhance
measurement resolution. 71 6.2 Incorporating prior biological knowledge to enhance results …

Shape optimization under constraints on the probability of a quadratic functional to exceed a given treshold

M Dambrine, G Gargantini, H Harbrecht, J Maynadier - 2023 - edoc.unibas.ch
This article is dedicated to shape optimization of elastic materials under random loadings
where the particular focus is on the minimization of failure probabilities. Our approach relies …

Statistical Methods for Controlling Population Stratification and Gene-Based Association Studies

S Yan - 2022 - search.proquest.com
This dissertation includes three papers with each distributed in one chapter. In chapter 1, we
use extensive simulation studies and real data studies to evaluate the performance of using …