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.
Numerical simulations show stability of Type-II singularities in noncompact hypersurfaces.
AGCA approximates angular variation on the unit sphere, reducing extremal dependence problems to eigenanalysis.
Spectral clustering identifies clusters of multivariate extremes.
Paper proposes angular loss for better face recognition and object classification.
Rotationally equivariant convolutions improve molecular property prediction.
The paper provides bounds for the empirical angular measure and applies them to improve statistical learning in extreme regions.
The purpose of this article is to find a family of curves parametrized by arc length and that depend on an angular function and an intrinsic fraction function, which is defined as the quotient between torsion and curvature. We find for this family of curves explicit formulas of curvature, torsion and geodetic curvature…
Capturing the dependence structure of multivariate extreme events is a major concern in many fields involving the management of risks stemming from multiple sources, e.g. portfolio monitoring, insurance, environmental risk management and anomaly detection. One convenient (non-parametric) characterization of extremal de…
In this paper angular curvature measures are investigated. Our first result is a complete classification of translation-invariant angular smooth curvature measures on . Subsequently, we use this result to show that the class of angular curvature measures on a Riemannian manifold is preserved by both the p…
Formulae for mass and angular momentum transformations under BMS transformations derived from curvature and metric.
New method resolves ambiguity in measuring black hole merger angular momentum.
Massless Majorana spinors cannot exist in Kerr spacetime under certain conditions.
New method constructs axial vector fields and defines quasi-local spin-angular momentum.
Study proves inequality linking black hole properties and angular momentum.
Researchers prove CWY angular momentum is supertranslation invariant in double null gauge.
The paper defines cross-section continuity for angular momentum definitions and finds the CWY definition valid.
Paper develops a novel approach to identify clusters of features in multivariate extremes.
Study spherical curves with curvature dependent on distance to a great circle.
Formulae track evolution of angular momentum and center of mass at null infinity.
New definition of angular momentum avoids supertranslation ambiguity.
Proposes AE for robust PCA, improving robustness to outliers.
Learning a good speaker embedding is important for many automatic speaker recognition tasks, including verification, identification and diarization. The embeddings learned by softmax are not discriminative enough for open-set verification tasks. Angular based embedding learning target can achieve such discriminativenes…
Study limits of quasi-local angular momentum at infinity of gravitating systems.
New memory effect discovered in gravitational wave behavior.
Extremal dependence between international stock markets is of particular interest in today's global financial landscape. However, previous studies have shown this dependence is not necessarily stationary over time. We concern ourselves with modeling extreme value dependence when that dependence is changing over time, o…
For a stable marginally outer trapped surface (MOTS) in an axially symmetric spacetime with cosmological constant and with matter satisfying the dominant energy condition, we prove that the area and the angular momentum satisfy the inequality which is saturated pre…
We exam the validity of the definition of the ADM angular momentum without the parity assumption. Explicit examples of asymptotically flat hypersurfaces in the Minkowski spacetime with zero ADM energy-momentum vector and finite non-zero angular momentum vector are presented. We also discuss the Beig-Ó Murchadha-Regge-T…
For a spacelike 2-surface in spacetime, we propose a new definition of quasi-local angular momentum and quasi-local center of mass, as an element in the dual space of the Lie algebra of the Lorentz group. Together with previous defined quasi-local energy-momentum, this completes the definition of conserved quantities i…
Generative models improve angular variable simulation in high dimensions.
We show how to reduce the general formulation of the mass-angular momentum-charge inequality, for axisymmetric initial data of the Einstein-Maxwell equations, to the known maximal case whenever a geometrically motivated system of equations admits a solution. It is also shown that the same reduction argument applies to …
New method uses neural networks for accurate angle estimation in noisy conditions.
Kernel PCA helps analyze multivariate extremes and clusters them effectively.
We present a general sufficient condition for the formation of black holes due to concentration of angular momentum. This is expressed in the form of a universal inequality, relating the size and angular momentum of bodies, and is proven in the context of axisymmetric initial data sets for the Einstein equations which …
Study reformulates Finsler metrizability problems using geodesic invariance.
AngularGrad optimizes CNNs by considering gradient direction, improving convergence.
New method for spatiotemporal data regression using Gaussian processes.
Existence and uniqueness of spherical helicoidal surfaces in 3-sphere via spherical curves.
In the present work we establish a quantization result for the angular part of the energy of solu- tions to elliptic linear systems of Schrödinger type with antisymmetric potentials in two dimension. This quantization is a consequence of uniform Lorentz-Wente type estimates in degenerating annuli. We derive from this a…
We prove that extreme Kerr initial data set is a unique absolute minimum of the total mass in a (physically relevant) class of vacuum, maximal, asymptotically flat, axisymmetric data for Einstein equations with fixed angular momentum. These data represent non-stationary, axially symmetric, black holes. As a consequence…
Investigates physical properties on surfaces of rotation using Clairaut's theorem.
We show that extreme Myers-Perry initial data realize the unique absolute minimum of the total mass in a physically relevant (Brill) class of maximal, asymptotically flat, bi-axisymmetric initial data for the Einstein equations with fixed angular momenta. As a consequence, we prove the relevant mass-angular momentum in…
Jets from boosted heavy particles have a typical angular scale which can be used to distinguish them from QCD jets. We introduce a machine learning strategy for jet substructure analysis using a spectral function on the angular scale. The angular spectrum allows us to scan energy deposits over the angle between a pair …
We develop and study quaternionic and octonionic analogies of Cartan angular and Toledo invariants that are well known in the complex hyperbolic space. Using such invariants we study quasifuchsian deformations (including bendings) of quaternionic and octonionic hyperbolic manifolds.
A universal geometric inequality for bodies relating energy, size, angular momentum, and charge is naturally implied by Bekenstein's entropy bounds. We establish versions of this inequality for axisymmetric bodies satisfying appropriate energy conditions, thus lending credence to the most general form of Bekenstein's b…
The angular power spectrum characterizes neural network complexity.
Paper develops deep learning for metocean variable extremes.
Diffusion MRI (dMRI) provides the ability to reconstruct neuronal fibers in the brain, , by measuring water diffusion along angular gradient directions in q-space. High angular resolution diffusion imaging (HARDI) can produce better estimates of fiber orientation than the popularly used diffusion tens…
A lower bound for the ADM mass is established in terms of angular momentum, charge, and horizon area in the context of maximal, axisymmetric initial data for the Einstein-Maxwell equations which satisfy the weak energy condition. If, on the horizon, the given data agree to a certain extent with the associated model Ker…