arXiv research

New partition designs reduce star discrepancy in high-dimensional sampling.

Optimizes kernel discrepancies by selecting subsets efficiently.

A new method for density estimation using mixture discrepancy and moments.

Study optimizes KSD estimation from samples, revealing Hilbert-Schmidt vs trace scales.

This study compares MC and QMC methods for likelihood functions.

Introduces Star-Shaped deviation measures for risk analysis.

Kernel thinning compresses distributions more effectively than i.i.d. sampling or standard thinning.

Algorithm achieves optimal regret for unknown Lipschitz convex losses.

New star-shaped acceptability indexes generalize existing methods.

Paper proves conjecture about star-shaped curves evolving under GAPF, but not always preserves star shape.

In this article, we introduce the notion of star-Ricci tensors in the real hypersurfaces of complex quadric $Q^m$. It is proved that there exist no Hopf hypersurfaces in $Q^m,m\geq3$, with commuting star-Ricci tensor or parallel star-Ricci tensor. As a generalization of star-Einstein metric, star-Ricci solitons on $M$ …

Classifies star products on Lie algebroid duals and extends to projectable quantizations.

New set-valued star-shaped risk measures introduced for better risk assessment.

Flow turns star-shaped curves into circles.

The paper studies dynamic star-shaped risk measures and their representation.

Study star products on Poisson manifolds compatible with reduction.

The paper characterizes dynamic return and star-shaped risk measures via BSDEs.

Deform moment map on symplectic connections using star product algebras.

Paper analyzes Birkhoff relaxation for graph alignment, providing theoretical guarantees.

We compare the star surgery operations introduced in [KS] to the generalized rational blow-down. We show that star surgery shares the properties that make rational blow-down useful for constructions of small exotic symplectic 4-manifolds. Then we show that star surgery operations provide a strictly more general class o…

We derive a closed formula for a star-product on complex projective space and on the domain $SU(n+1)/S(U(1)\times U(n))$ using a completely elementary construction: Starting from the standard star-product of Wick type on $C^{n+1} \setminus \{ 0 \}$ and performing a quantum analogue of Marsden-Weinstein reduction, we ca…

Estimates how many times a star appears due to gravitational lensing.

Improved SGD learning for single index models reduces sample complexity.

The paper finds at least four prime closed characteristics on star-shaped hypersurfaces in 8D space.

This paper connects monetary and star-shaped risk measures by showing their equivalence under certain conditions.

Given a bordified space, Karlsson defines an incidence geometry of stars at infinity. These stars and their incidence are closely related to well-understood objects when the space is hyperbolic, CAT(0), or a bounded convex domain with the Hilbert metric. A question stemming from Karlsson's original paper was whether or…

The paper proves inequalities for star-shaped and $F$-mean convex hypersurfaces in $\mathbb{R}^{n+1}$.

We define the notion of a formal connection for a smooth family of star products with fixed underlying symplectic structure. Such a formal connection allows one to relate star products at different points in the family. This generalizes the formal Hitchin connection introduced by the first author. We establish a necess…

Constructs non-unital monoidal category of contact manifolds and Legendrian correspondence calculus

Sharp inequalities for star bodies in 2D space.

The paper characterizes law-invariant star-shaped risk measures.

The study counts geodesics on curved surfaces with specific intersections.

Introduces Star-Shaped DDPMs for non-Gaussian distributions.

Study tunnel numbers of cable knots and their companions, proving new bounds and constructing examples.

The paper generalizes convex and star-shaped concepts to symplectic spaces and studies variational problems.

We propose an explicit construction of the deformation quantization of the general second-class constrained system, which is covariant with respect to local coordinates on the phase space. The approach is based on constructing the effective first-class constraint (gauge) system equivalent to the original second-class o…

Study quantization schemes on Kähler manifolds linking star products and BV quantizations.

Researchers create initial data for multiple collapsing boson stars.

Designs adaptive controller for networked control systems with wireless data transmission.

In 1998 Smoczyk [Smo98] showed that, among others, the blowup limits at singularities are convex for the mean curvature flow starting from a closed star-shaped surface in $\mathbf{R}^3$. We prove in this paper that this is true for the mean curvature flow of star-shaped hypersurfaces in $\mathbf{R}^{n+1}$ in arbitrary …

New lower bound shows bandit convex optimization is harder than previously thought.

Machine learning helps create accurate models of neutron star postmerger signals.

A star-like isotopy for oriented links in 3-space is an isotopy which uses only Reidemeister II moves with opposite orientations and Reidemeister III moves with alternating orientations when checking the strands clockwise (or anticlockwise). We define a link polynomial derived from the Jones polynomial which is, in gen…

Paper characterizes star-shaped risk measures and their properties.

New discrepancy function compares discrete probability measures considering space geometry.

This paper introduces localized discrepancy theories for unsupervised domain adaptation.

Paper introduces a new $G^\star$ regret measure for online convex optimization with smooth losses.

Obstructions found for closed Fedosov star products on symplectic and Kähler manifolds.