arXiv research

Analyzes complex structure deformations using cohomology contraction methods.

Study optimal reinsurance contracts to prevent moral hazard under non-concave premium principles.

A large collection of financial contracts offering guaranteed minimum benefits are often posed as control problems, in which at any point in the solution domain, a control is able to take any one of an uncountable number of values from the admissible set. Often, such contracts specify that the holder exert control at a…

Let H denote the standard one-point completion of a real Hilbert space. Given any non-trivial proper sub-set U of H one may define the so-called `Apollonian' metric d_U on U. When U \subset V \subset H are nested proper subsets we show that their associated Apollonian metrics satisfy the following uniform contraction p…

Develops a contraction framework for MCMC mixing rates.

New Q-learning method achieves optimal sample complexity for average-reward problems.

Fair insurance contracts are designed to handle default risk using cooperative game theory.

Optimal insurance contract limits insurer's risk exposure variance.

Three applications of delooping to h-principles on manifolds.

Sharp spectral estimates derived for various weighted manifolds.

Proves existence and uniqueness of mean curvature flow.

New proofs of h-principles in contact 3-manifolds.

The paper solves an insurance problem using mean-variance and rank-dependent utility theory.

The paper explores optimal insurance contracts using various deviation measures.

We consider geometric flow equations for contracting and expanding normal velocities, including powers of the Gauss curvature, of the mean curvature, and of the norm of the second fundamental form, and ask whether - after appropriate rescaling - closed strictly convex surfaces converge to spheres. To prove this, many a…

The paper finds optimal insurance contracts in behavioral finance, avoiding moral hazard.

A new method to break down insurance costs into risk and uncertainty.

New method enhances graph neural networks using contractions and hourglass persistence.

By resorting to Noether's Second Theorem, we relate the generalized Bianchi identities for Lagrangian field theories on gauge-natural bundles with the kernel of the associated gauge-natural Jacobi morphism. A suitable definition of the curvature of gauge-natural variational principles can be consequently formulated in …

Study semiclassical measures on complex hyperbolic quotients, identifying measure supports.

Two-layer model studies reinsurance contracts and competition between insurer and reinsurers.

Study on curve shortening flow with boundary conditions, proving convergence or contraction.

The article extends previous work on contracting convex hypersurfaces by nonhomogeneous curvature functions.

For strong exact magnetic fields the action functional (i.e., the length plus the linear magnetic term) is not bounded from below on the space of closed contractible curves and the lower estimates for critical levels are derived by using the principle of throwing out cycles. It is proved that for almost every energy le…

The paper examines how distortion principles affect insurance pricing under risk aversion and ambiguity.

Optimal insurance contracts are designed to screen risk preferences and risk types under asymmetric information.

Study random walks on CAT(0) spaces with contracting elements, proving limit laws.

Iterative algorithms are ubiquitous in the field of data mining. Widely known examples of such algorithms are the least mean square algorithm, backpropagation algorithm of neural networks. Our contribution in this paper is an improvement upon this iterative algorithms in terms of their respective performance metrics an…

We develop a pricing rule for life insurance under stochastic mortality in an incomplete market by assuming that the insurance company requires compensation for its risk in the form of a pre-specified instantaneous Sharpe ratio. Our valuation formula satisfies a number of desirable properties, many of which it shares w…

Extends online learning to metric spaces using exponential weights.

Tackling climate change is at the top of many agendas. In this context, emission trading schemes are considered as promising tools. The regulatory framework for an emission trading scheme introduces a market for emission allowances and creates a need for risk management by appropriate financial contracts. In this work,…

The paper tackles robust control for insurance contracts under uncertain transition rates.

New stability theory for Sinkhorn semigroups with explicit decay rates.

This paper argues that the fundamental principle of contemporary financial economics is balanced reciprocity, not the principle of utility maximisation that is important in economics more generally. The argument is developed by analysing the mathematical Fundamental Theory of Asset Pricing with reference to the emergen…

This paper explores probabilistic numerical methods for integrating statistical computations.

Differentially quantized gradient methods improve convergence in noisy communication channels.

Developing a non-symmetric strainer theory for spaces with non-negative curvature beyond Alexandrov geometry.

The paper proves short-time existence for curves diffusing with a contact angle.

Study non-negative curvature Markov chains, proving entropy contraction.

New approach to quantify posterior concentration rates using Wasserstein dynamics.

Prediction markets and crypto options show persistent pricing gaps.

Study of insurance market equilibria with risk-averse policyholders.

The paper defines arbitrage-free prices for cash flows and forward contracts using Choquet theory.

Extends option pricing model to incorporate market factor dynamics.

Maximizes coding rate difference for robust, discriminative features.

Unified tensor network formalism for combining neural and symbolic AI.

Bayesian method improves predictions in overparameterized nonlinear regression.

This paper examines the economic benefits of monthly gratuity options.