arXiv research

New inequalities for unbounded functions improve denoising score matching.

Study unbounded $\mathfrak{sl}_3$-laminations around punctures.

Efficiently estimates quantiles and maximum in unbounded datasets with differential privacy.

Two new algorithms improve performance in adversarial bandits with unbounded losses.

Paper solves nonparametric contextual bandit with unbounded contexts.

Unbounded convex domains have zero mean curvature on disconnected boundaries.

The paper solves the Dirichlet problem for minimal surfaces on unbounded helicoidal domains.

Efficiently private regression for unbounded data.

Solves open problem on universally consistent online learning with unbounded losses.

The paper proves homotopy equivalences for spaces of unbounded Fredholm operators.

Given an unbounded domain $Ω$ of a Hadamard manifold $M$, it makes sense to consider the problem of finding minimal graphs with prescribed continuous data on its cone-topology-boundary, i.e., on its ordinary boundary together with its asymptotic boundary. In this article it is proved that under the hypothesis that the …

Golden L surface has unbounded bunching of saddle connections

We construct an unbounded representative for the shriek class associated to the embeddings of spheres into Euclidean space. We equip this unbounded Kasparov cycle with a connection and compute the unbounded Kasparov product with the Dirac operator on $\mathbb R^{n+1}$. We find that the resulting spectral triple for the…

The paper proves a regret bound for a sub-Gaussian mixture on unbounded data.

This memoir presents a systematic study of the utility maximization problem of an investor in a constrained and unbounded financial market. Building upon the work of Hu et al. (2005) [Ann. Appl. Probab., 15, 1691--1712] in a bounded framework, we extend our analysis to the more challenging unbounded case. Our methodolo…

It is shown that the compactly supported identity component of the diffeomorphism group of the 2-dimensional punctured torus $\mathbb T^2_p$ is an unbounded group. It follows that the fragmentation norm of $\mathbb T^2_p$ is unbounded.

Study focal surfaces of wave fronts with unbounded curvatures.

This paper tightens the law of the iterated logarithm for empirical KL_inf, applicable to unbounded data.

Paper tackles unbounded density ratio estimation for covariate shift adaptation.

Study shows unbounded Pontryagin numbers on curved manifolds.

Paper tackles online control of linear systems with unbounded noise.

We show that domains, that allow for convex functions with unbounded gradient at their boundary, are convex.

Study uses spectral risk for learning with heavy-tailed data.

PMT uses public data moments to make DP feasible for unbounded data.

New approach finds solutions to games with unbounded controls.

The paper provides gradient estimates for Neumann semigroups on manifolds with boundary under unbounded curvature conditions.

New aggregation strategy handles unbounded losses with regret bounds.

Improved sampling from Gaussian distributions with privacy constraints.

In this paper we introduce the curvature of densely defined universal connections on Hilbert $C^{*}$-modules relative to a spectral triple (or unbounded Kasparov module), obtaining a well-defined curvature operator. Fixing the spectral triple, we find that modulo junk forms, the curvature only depends on the represente…

New PAC-Bayes bounds for unbounded loss functions.

Geometric model of unbounded sl3 laminations with tropical coordinates.

In this paper, we provided conditions for an entire constant mean curvature Killing graph lying inside a possible unbounded region to be necessarily a slice.

Deep neural networks classify unbounded Gaussian mixture data without dimensionality issues.

We show that any noncompact Riemann surface admits a complete Ricci flow g(t), t\in[0,\infty), which has unbounded curvature for all t\in[0,\infty).

New method estimates volatility for Lévy processes with unbounded jumps efficiently.

We construct a complete, embedded minimal surface in euclidean 3-space which has unbounded Gaussian curvature. It has infinite genus, infinitely many catenoidal type ends and one limit end.

In this paper, we derive Li-Yau inequality for unbounded Laplacian on complete weighted graphs with the assumption of the curvature-dimension inequality $CDE'(n,K)$, which can be regarded as a notion of curvature on graphs. Furthermore, we obtain some applications of Li-Yau inequality, including Harnack inequality, hea…

Metric WPD for pseudo-Anosov maps shows many unbounded quasi-morphisms.

Extends Alexandrov's result to unbounded convex domains in hyperbolic 3-space.

New algorithms improve exploration in unbounded reward settings.

We consider the problem of minimizing the relative perimeter under a volume constraint in an unbounded convex body $C\subset \mathbb{R}^{n+1}$, without assuming any further regularity on the boundary of $C$. Motivated by an example of an unbounded convex body with null isoperimetric profile, we introduce the concept of…

We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using it, we give conditions for singularities of that surfaces. Periodicity of that surface is also discussed.

Investigates optimal consumption and investment strategies in non-Markovian markets with unbounded parameters.

In infinite dimensional Heisenberg group, degenerate distances linked to unbounded curvature.

Nowadays, every device connected to the Internet generates an ever-growing stream of data (formally, unbounded). Machine Learning on unbounded data streams is a grand challenge due to its resource constraints. In fact, standard machine learning techniques are not able to deal with data whose statistics is subject to gr…

The CD equalities were introduced to imply the gradient estimate of laplace operator on graphs. This article is based on the unbounded Laplacians, and finally concludes some equivalent properties of the CD(K,$\infty$)and CD(K,n).

New algorithms for online learning without boundedness or Lipschitz loss assumptions.

New method estimates volatility for processes with jumps of unbounded variation.