arXiv research

Compactness theorem for quasiregular curves proves normality and resolves nodal points.

We introduce the problem of model selection for contextual bandits, where a learner must adapt to the complexity of the optimal policy while balancing exploration and exploitation. Our main result is a new model selection guarantee for linear contextual bandits. We work in the stochastic realizable setting with a seque…

Bayesian neural networks improve stellar age predictions with reduced uncertainty.

New interpretation of Mayer-Vietoris sequence using überhomology.

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…

Develops STC for sequential data with missing labels.

The paper introduces methods to quantify uncertainty in sampling without replacement.

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

Tropical geometry and weighted lattices improve curve and surface fitting.

New lower bound shows bandit convex optimization is harder than linear bandits.

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

Paper develops a new method for solving IBVPs on star-shaped domains.

The paper maps two types of hyperkähler manifolds and identifies their symplectic structures.

The paper explores graphons of line graphs from sparse finite graphs.

New methods for private statistical inference under local differential privacy.

Gaia will obtain astrometry and spectrophotometry for essentially all sources in the sky down to a broad band magnitude limit of G=20, an expected yield of 10^9 stars. Its main scientific objective is to reveal the formation and evolution of our Galaxy through chemo-dynamical analysis. In addition to inferring position…

We deal with smooth real manifolds as well as complex analytic manifolds as well. It is well known that the concept of star product is powerful enough to produce all Poisson structures on real manifolds. According to [BdM] it is not known whether holomorphic star products exist on complex analytic manifolds. The main p…

Let $Γ$ be a finite graph and let $Γ^{\mathrm{e}}$ be its extension graph. We inductively define a sequence $\{Γ_i\}$ of finite induced subgraphs of $Γ^{\mathrm{e}}$ through successive applications of an operation called "doubling along a star". Then we show that every finite induced subgraph of $Γ^{\mathrm{e}}$ is iso…

Existence and uniqueness theorem for Ricci flow on weighted graphs proved.

The paper constructs a star product on a symplectically reduced phase space for a lattice gauge model.

Introduces Star-Shaped deviation measures for risk analysis.

This paper provides guarantees for DFM models using KL divergence.

Adapting neural networks to guide program optimization for better classifiers.

APGD algorithm efficiently recovers over-parameterized matrices from noisy measurements.

Fine-tuning improves information conveyance in language models by reorganizing uncertainty into more informative sequences.

A new robust GP regression algorithm that trims outliers improves model accuracy.

Algorithm achieves optimal regret for unknown Lipschitz convex losses.

Authors prove an asymptotic expansion for spectral zeta functions on discrete tori.

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.

Paper disproves symmetry of stars at infinity in a specific graph.

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 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…

The main result of this paper is a new and direct proof of the natural transformation from the surgery exact sequence in topology to the analytic K-theory sequence of Higson and Roe. Our approach makes crucial use of analytic properties and new index theorems for the signature operator on Galois coverings with boundary…

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

Improved SGD learning for single index models reduces sample complexity.

We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of functions whose product is a star-product. The class of noncommutative spaces studied is very rich. Non-anticommutative superspa…

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.

Signaling proteins are an important topic in drug development due to the increased importance of finding fast, accurate and cheap methods to evaluate new molecular targets involved in specific diseases. The complexity of the protein structure hinders the direct association of the signaling activity with the molecular s…