arXiv research

New inequalities for unbounded functions improve denoising score matching.

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.

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

Efficiently private regression for unbounded data.

New neural network rates for unbounded domains with weighted Sobolev spaces.

We develop a new bound for estimating CVaR from samples of an unbounded random variable.

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…

New algorithms improve exploration in unbounded reward settings.

We produce solutions to the Kähler-Ricci flow emerging from complete initial metrics $g_0$ which are $C^0$ Hermitian limits of Kähler metrics. Of particular interest is when $g_0$ is Kähler with unbounded curvature. We provide such solutions for a wide class of $U(n)$-invariant Kähler metrics $g_0$ on $n$ dimensional c…

Paper solves a complex equation for unbounded convex sets.

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…

For a domain $Ω\subset\mathbb R^n$, we introduce the concept of a uniformly $C^m$ defining function. We characterize uniformly $C^m$ defining functions in terms of the signed distance function for the boundary and provide a large class of examples of unbounded domains with uniformly $C^m$ defining functions. Some of ou…

Paper studies long-run risk optimization with dyadic impulses for unbounded processes.

Advances FTPL results for bandit problems with unbounded perturbations.

New algorithm tackles multiclass transductive online learning with unbounded labels.

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

This paper studies the problem of maximizing the expected utility of terminal wealth for a financial agent with an unbounded random endowment, and with a utility function which supports both positive and negative wealth. We prove the existence of an optimal trading strategy within a class of permissible strategies -- t…

Given a completely arbitrary surface, whether or not it has bounded curvature, or even whether or not it is complete, there exists an instantaneously complete Ricci flow evolution of that surface that exists for a specific amount of time [GT11]. In the case that the underlying Riemann surface supports a hyperbolic metr…

New method for Bayesian neural networks with unbounded weights.

This paper completes the analysis of Choulli et al. Non-Arbitrage up to Random Horizons and after Honest Times for Semimartingale Models and contains two principal contributions. The first contribution consists in providing and analysing many practical examples of market models that admit classical arbitrages while the…

Improved SGD with AdaGrad stepsizes adapts to unknown parameters and unbounded gradients.

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

We prove that for any euclidean ring R and n at least 6, Gamma=SL_n(R) has no unbounded quasi-homomorphisms. From Bavard's duality theorem, this means that the stable commutator length vanishes on Gamma. The result is particularly interesting for R = F[x] for a certain field F (such as the field C of complex numbers, b…

Constructs unbounded Kasparov product for sphere embeddings into Euclidean space.

Unbounded convex domains have zero mean curvature on disconnected boundaries.

New perspective on Sinkhorn algorithm using stochastic mirror descent.

Improved bounds for unbounded losses using transductive priors.

The paper shows how curves converge to a grim reaper with unbounded slopes.

Golden L surface has unbounded bunching of saddle connections

The Einstein/Abelian-Yang-Mills Equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities $\p\colon\R^3\smΣ\to\H^{k+1}_\C$ into the $(k+1)$-dimensional complex hyperbolic space. In this paper, we prove the existence and uniqueness of harmonic maps with prescribed sing…

The aim of this note is to explain a generalization to the real case of a well known result on the automorphism group of an unbounded tube type symmetric domain in a complex vector space of finite dimension.

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.

Study ancient solutions on graphs with unbounded Laplacians, generalizing previous results.

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

New groups found in hyperbolic space with infinite fields of definition.

Let $S$ be a compact oriented surface. We construct homogeneous quasimorphisms on $Diff(S, area)$, on $Diff_0(S, area)$ and on $Ham(S)$ generalizing the constructions of Gambaudo-Ghys and Polterovich. We prove that there are infinitely many linearly independent homogeneous quasimorphisms on $Diff(S, area)$, on $Diff_0(…

We prove a general existence result for instantaneously complete Ricci flows starting at an arbitrary Riemannian surface which may be incomplete and may have unbounded curvature. We give an explicit formula for the maximal existence time, and describe the asymptotic behaviour in most cases.

The paper proves a Willmore-type inequality for unbounded convex sets.

Study shows unbounded Pontryagin numbers on curved manifolds.

Paper tackles online control of linear systems with unbounded noise.

In this paper, we study existence and uniqueness of solutions to Jenkins-Serrin type problems on domains in a Riemannian surface. In the case of unbounded domains, the study is focused on the hyperbolic plane.

New method combines adaptive learning rate and flexible prediction for online loss aggregation.

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

Study sequences of solutions to Taubes's Seiberg-Witten equations with unbounded energy.

New approach finds solutions to games with unbounded controls.

A theorem of Jorgensen and Thurston implies that the volume of a hyperbolic 3-manifold is bounded below by a linear function of its Heegaard genus. Heegaard surfaces and bridge surfaces often exhibit similar topological behavior; thus it is natural to extend this comparison to ask whether a $(g,b)$-bridge surface for a…