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.
Adaptive Bernstein copulas improve risk management by preventing overfitting and reducing simulation effort.
Article provides Bernstein gradient estimates for heat equations with potential terms.
Improved understanding of translating solitons using new techniques.
In this paper we study nonconvex penalization using Bernstein functions. Since the Bernstein function is concave and nonsmooth at the origin, it can induce a class of nonconvex functions for high-dimensional sparse estimation problems. We derive a threshold function based on the Bernstein penalty and give its mathemati…
Survey Bernstein-type theorems for graphical surfaces in Euclidean and Lorentz-Minkowski spaces.
In this paper we study nonconvex penalization using Bernstein functions whose first-order derivatives are completely monotone. The Bernstein function can induce a class of nonconvex penalty functions for high-dimensional sparse estimation problems. We derive a thresholding function based on the Bernstein penalty and di…
The study models insurance dependence using Bernstein copulas.
Study introduces new Bernstein inequalities for dependent data in Hilbert spaces.
The study sharpens local Bernstein estimates for Laplace eigenfunctions on compact manifolds.
Sharp inequalities for matrix means with unknown variance.
New method for estimating covariance with robustness to outliers.
A weighted area estimate for entire graphs with bounded weighted mean curvature in Gauss space is given by a simple proof. Bernstein type theorems for self shrinkers (\cite {wa}) as well as for graphic -hypersurfaces (\cite{ chwe2}) follow immediately as consequences.
Paper estimates curvature of minimal surfaces in a specific geometric space.
New bounds for non-convex estimators without Bernstein condition.
Minimal surface equation results in constant solutions on RCD spaces.
We introduce a Bernstein-type inequality which serves to uniformly control quadratic forms of gaussian variables. The latter can for example be used to derive sharp model selection criteria for linear estimation in linear regression and linear inverse problems via penalization, and we do not exclude that its scope of a…
Using Schauder's theory for linear elliptic partial differential equations in two independent variables and fundamental estimates for univalent mappings due to E. Heinz we establish an upper bound of the Gaussian curvature of two-dimensional minimal surface graphs in R^n. This leads us to a theorem of Bernstein-Liouvil…
We obtain a gradient estimate for the Gauss maps from complete spacelike constant mean curvature hypersurfaces in Minkowski space into the hyperbolic space. As applications, we prove a Bernstein theorem which says that if the image of the Gauss map is bounded from one side, then the spacelike constant mean curvature hy…
Estimates for stable minimal hypersurfaces in Euclidean space.
Paper studies curvature of stable surfaces meeting at a common boundary.
Extends Onsager's conjecture to Besov spaces on manifolds with boundary.
The paper proposes a new method for probabilistic load forecasting using Bernstein-Polynomial Normalizing Flows.
In this paper, we consider three typical problems on a locally finite connected graph. The first one is to study the Bochner formula for the Laplacian operator on a locally finite connected graph. We use the Bochner formula to derive the Bernstein type estimate of the heat equation. The second is to derive the Reilly t…
A new method for high-dimensional classification using Bernstein polynomials.
New method improves RL in continuous spaces with kernel smoothing.
Under suitable conditions on the range of the Gauss map of a complete submanifold of Euclidean space with parallel mean curvature, we construct a strongly subharmonic function and derive a-priori estimates for the harmonic Gauss map. The required conditions here are more general than in previous work and they therefore…
In this paper, we discuss the self-shrinking systems in higher codimensional spaces. We mainly obtain several Bernstein type results and a sharp growth estimate.
We show the regularity of, and derive a-priori estimates for (weakly) harmonic maps from a Riemannian manifold into a Euclidean sphere under the assumption that the image avoids some neighborhood of a half-equator. The proofs combine constructions of strictly convex functions and the regularity theory of quasi-linear e…
Ancient solutions to mean curvature flow have unique shapes.
Synthesizes robust estimators for domain adaptation.
We summarize results concerning the Bernstein property of differential equations.
Explains Bernstein theorems for various geometric PDEs.
Improved analysis of UCRL2 with empirical Bernstein inequality reduces exploration-exploitation regret.
Ancient symplectic solutions to mean curvature flow are flat.
In this paper, we prove some Bernstein type results for -dimensional minimal Lagrangian graphs in quaternion Euclidean space . In particular, we also get a new Bernstein Theorem for special Lagrangian graphs in
We present Bernstein-Sato identities for scalar-, spinor- and differential form-valued distribution kernels on Euclidean space associated to conformal symmetry breaking operators. The associated Bernstein-Sato operators lead to partially new formulae for conformal symmetry breaking differential operators on functions, …
The paper proves Calabi-Bernstein type results for minimal and maximal surfaces in 3D and 3D-L spacetime.
We derive curvature estimates for minimal submanifolds in Euclidean space for arbitrary dimension and codimension via Gauss map. Thus, Schoen-Simon-Yau's results and Ecker-Huisken's results are generalized to higher codimension. In this way we improve Hildebrandt-Jost-Widman's result for the Bernstein type theorem.
Develops a deep learning framework for various data types.
Develops a nonparametric method to estimate isotropic covariance functions efficiently.
We obtain new curvature estimates and Bernstein type results for minimal submanifolds in $\ir{n+m},\, m\ge 2$ under the condition that the rank of its Gauss map is at most 2. In particular, this applies to minimal surfaces in Euclidean spaces of arbitrary codimension.
We derive estimates of the Hessian of two smooth functions defined on Grassmannian manifold. Based on it, we can derive curvature estimates for minimal submanifolds in Euclidean space via Gauss map. In this way, the result for Bernstein type theorem done by Jost and the first author could be improved.
The paper solves Bernstein problems for specific submanifolds in high-dimensional spaces.
We show Bernstein type results for the entire self-shrinking solutions to Lagrangian mean curvature flow in . The proofs rely on a priori estimates and barriers construction.
For entire spacelike stationary 2-dimensional graphs in Minkowski spaces, we establish Bernstein type theorems under specific boundedness assumptions either on the W-function or on the total (Gaussian) curvature. These conclusions imply the classical Bernstein theorem for minimal surfaces in 3-dimensional Euclidean spa…
In this paper, we study the properties of potential function of the translating soliton in and the volume growth of the intersection of Euclidean balls with . We give a condition to obtain the Bernstein theorem for the translating solitons. We also give an outline of a simple proof of the Bernstein the…
Paper proves stable minimal surfaces in 3D are flat.
We obtain a Bernstein theorem for special Lagrangian graphs in n-dimensional complex space for arbitrary n only assuming bounded slope, but no quantitative restriction.