A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Social media enhances or diminishes scientific status, depending on usage.
Italy's daily COVID-19 cases stratified by age groups.
The main goal of the present paper is two-fold. First we extend the theory of toroidal embeddings introduced by Kempf, Knudsen, Mumford and Saint-Donat to the class of toroidal varieties with stratifications (which is the main body of the paper). Second we give a proof of the following weak factorization theorem as an …
We prove the existence of Verdier stratifications for sets definable in any o-minimal structure on (R, +, .). It is also shown that the Verdier condition (w) implies the Whitney condition (b) in o-minimal structures on (R, +, .). As a consequence the Whitney Stratification Theorem holds. The existence of (wf)-stratific…
The paper studies HKKN stratifications for non-compact spaces and proves convexity properties.
Stratifies representation varieties of twisted Hopf links.
The paper defines a stratification for Lie groupoids in a tame topology context.
Paper confirms MCS spaces are equivalent to CS sets.
Alexandrov spaces have a special stratification that maps to spheres.
Investigates properties of moment maps and stratifications on Lie groups.
Optimizes biharmonic map regularity using stratification methods.
New stratification reveals intrinsic singularity types of orbit spaces.
The aim of this paper is to compare stratifications of moduli spaces given by group actions in the case of similarity of matrices introduced by Arnold and the author's stratification by projective orbifolds, and its relation to deformations o elements in the moduli space.
Combines k-means and hill climbing for stratification and allocation.
We give a geometric proof of existence of Whitney stratifications of definable sets in o-minimal structures.
Study clarifies variance of stratification estimators for causal effects.
Method converts age labels into distributions to improve speaker age estimation.
This paper provides a stratification of semi-algebraic sets in the plane with finitely many geodesic segments.
The Bialynicki-Birula decomposition of the space of lambda-connections restricts to the Morse stratification on the moduli space of Higgs bundles and to the partial oper stratification on the de Rham moduli space of holomorphic connections. For both the Morse and partial oper stratifications, every stratum is a holomor…
We study the topology of the inertia space of a smooth -manifold where is a compact Lie group. We construct an explicit Whitney stratification of the inertia space, demonstrating that the inertia space is a triangulable differentiable stratified space. In addition, we demonstrate a de Rham theorem for differ…
Machine learning models for medical image analysis often suffer from poor performance on important subsets of a population that are not identified during training or testing. For example, overall performance of a cancer detection model may be high, but the model still consistently misses a rare but aggressive cancer su…
The paper studies harmonic map flows and proves rectifiability of singular sets.
The paper describes a stratification of a compactified Hurwitz space using combinatorial trees.
Preterm newborns undergo various stresses that may materialize as learning problems at school-age. Sleep staging of the Electroencephalogram (EEG), followed by prediction of their brain-age from these sleep states can quantify deviations from normal brain development early (when compared to the known age). Current auto…
The complement of a complex hyperplane arrangement is known to be homotopic to a minimal CW complex. There are several approaches to the minimality. In this paper, we restrict our attention to real two dimensional cases, and introduce the "dual" objects so called minimal stratifications. The strata are explicitly descr…
SFCNeXt estimates brain age from small MRI datasets.
Let be a Lie group, and let be a symplectic manifold. If admits a Hamiltonian action on with momentum map , then , the zero-level set of , the orbit space, and the corresponding symplectic quotient all have induced stratifications. We push this setting into the language of differential …
We solve a lifecycle model in which the consumer's chronological age does not move in lockstep with calendar time. Instead, biological age increases at a stochastic non-linear rate in time like a broken clock that might occasionally move backwards. In other words, biological age could actually decline. Our paper is ins…
Despite the remarkable progress in face recognition related technologies, reliably recognizing faces across ages still remains a big challenge. The appearance of a human face changes substantially over time, resulting in significant intra-class variations. As opposed to current techniques for age-invariant face recogni…
The paper offers simple, near-optimal algorithms for multi-group learning.
The monster tower is a tower of spaces over a specified base; each space in the tower is a parameter space for curvilinear data up to a specified order. We describe and analyze a natural stratification of these spaces.
Decomposes smooth manifolds into algebraic submanifolds.
The paper uses AI to analyze ECG data, revealing age-related changes and identifying key features.
We introduce a natural stratification of the space of projective classes of measured laminations on a complete hyperbolic surface of finite area. We prove a rigidity result, namely, the group of self-homeomorphisms of the space of projective measured laminations that preserve such a stratification is in general identif…
Study chaotic dynamics in social stratification models leading to thermalization and turbulence.
Machine learning analysis of neuroimaging data can accurately predict chronological age in healthy people and deviations from healthy brain ageing have been associated with cognitive impairment and disease. Here we sought to further establish the credentials of "brain-predicted age" as a biomarker of individual differe…
Study almost rigidity of super Ricci flow with non-negative Muller quantity.
Study identifies and estimates treatment effect heterogeneity within principal stratification subpopulations.
We consider a Morse function and a Morse-Smale gradient-like vector field on a compact connected oriented 3-manifold such that has only one critical point of index 3. Based on Laudenbach's ideas, we will show that the flow of can be isotoped into one so that the trajectory spaces of the new flow pro…
New method improves compatibility of risk stratification models without sacrificing accuracy.
Bayesian CNN estimates uncertainty in bone age prediction.
A homology stratification is a filtered space with local homology groups constant on strata. Despite being used by Goresky and MacPherson [Intersection homology theory: II, Inventiones Mathematicae, 71 (1983) 77-129] in their proof of topological invariance of intersection homology, homology stratifications do not appe…
Survey on hyperplane arrangements and their topology.
Deep learning model creates patient representations for scalable EHR-based stratification.
The analysis of the USA 2001 income distribution shows that it can be described by at least two main components, which obey the generalized Tsallis statistics with different values of the q parameter. Theoretical calculations using the gas kinetics model with a distributed saving propensity factor and two ensembles rep…
We reduce variance in monetization metrics for ranking experiments.
Clarifies the structure of quantum states using algebraic methods.
Within its traditional range of perversity parameters, intersection cohomology is a topological invariant of pseudomanifolds. This is no longer true once one allows superperversities, in which case intersection cohomology may depend on the choice of the stratification by which it is defined. Topological invariance also…