In topology, a branch of mathematics, a collapse reduces a simplicial complex (or more generally, a CW complex) to a homotopy-equivalent subcomplex. Collapses, like CW complexes …

Abstract The paper investigates the collapse of nonrotating gas spheres with a polytropic equation of state for n = 3, corresponding to gamma = 4/3. Such polytropes provide a reasonable …

Mar 24, 2024 · Neural Collapse, Feature Geometry, Supervised Contrastive Abstract Supervised-contrastive loss (SCL) is an alternative to cross-entropy (CE) for classification tasks that …

Abstract Neural collapse (NC) is a phenomenon observed in classification tasks where top-layer representations collapse into their class means, which become equinorm, equiangular and …

Abstract. Self-similar solutions are found for the collapse of a stellar core with a polytropic equation of state p = κρ γ, and 6/5 ≤ γ ≤ 4/3. These solutions show that the core splits into a …

3 days ago · View PDF HTML (experimental) Abstract: In this paper, we present a new approximation for efficiently and effectively including heavy-lepton neutrino pair-production …

Oct 8, 2024 · Abstract: Within the scaling laws paradigm, which underpins the training of large neural networks like ChatGPT and Llama, we consider a supervised regression setting and …

Jun 14, 2024 · In twist-free axisymmetric vacuum collapse, for instance, numerical evidence suggests a breakdown of universality of solutions at the threshold of collapse. In this study, we …

Progressive collapse is the spread of local damage, from an initiating event, from element to element resulting, eventually, in the collapse of an entire structure or a disproportionately large …

Collapse of a lobe of a lung is an important indicator of a range of conditions, including malignancy. Clinical symptoms and signs may suggest a diagnosis of lobar collapse; however, …