Recent works have revealed the role of geometric partitions and Sperner's

Environment Animals Wildlife Spiders Psychologists made people look at spiders. Humans will try to focus on almost anything else. Breakthroughs, discoveries, and DIY tips sent six days a week. There are plenty of studies examining why humans are so hardwired to detest spiders . However, fewer researchers have spent time investigating just far we'll go to avoid even looking at them.At the University of Nebraska-Lincoln, psychologists decided to find out for themselves.

Let usconsiderasetof C-PROcontextswithlogicrules BOTHor EITHER, andsensoryruleswith values REDor VERTICAL (Figure 1).

We design efficient distance approximation algorithms for several classes of well-studied structured high-dimensional distributions.

In such a setting, distribution-free risk bounds are impossible, and the best one could hope for is a fully empirical data-dependent bound.

In such a setting, distribution-free risk bounds are impossible, and the best one could hope for is a fully empirical data-dependent bound.

Hump crossings, or high-profile Highway Railway Grade Crossings (HRGCs), pose safety risks to highway vehicles due to potential hang-ups. These crossings typically result from post-construction railway track maintenance activities or non-compliance with design guidelines for HRGC vertical alignments. Conventional methods for measuring HRGC profiles are costly, time-consuming, traffic-disruptive, and present safety challenges. To address these issues, this research employed advanced, cost-effective techniques and innovative modeling approaches for HRGC profile measurement. A novel hybrid deep learning framework combining Long Short-Term Memory (LSTM) and Transformer architectures was developed by utilizing instrumentation and ground truth data. Instrumentation data were gathered using a highway testing vehicle equipped with Inertial Measurement Unit (IMU) and Global Positioning System (GPS) sensors, while ground truth data were obtained via an industrial-standard walking profiler. Field data was collected at the Red Rock Railroad Corridor in Oklahoma. Three advanced deep learning models Transformer-LSTM sequential (model 1), LSTM-Transformer sequential (model 2), and LSTM-Transformer parallel (model 3) were evaluated to identify the most efficient architecture. Models 2 and 3 outperformed the others and were deployed to generate 2D/3D HRGC profiles. The deep learning models demonstrated significant potential to enhance highway and railroad safety by enabling rapid and accurate assessment of HRGC hang-up susceptibility.