activity
20082023
most citedDGM: A deep learning algorithm for solving partial differential equations

2.3k citations · 2.7k across the 51 of their papers we have counts for

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Showing 2014Show all

5 papers · 1 filter

math.PR2014

Rare event simulation for multiscale diffusions in random environments

Konstantinos Spiliopoulos

We consider systems of stochastic differential equations with multiple scales and small noise and assume that the coefficients of the equations are ergodic and stationary random fi…

math.PR2014

Indifference pricing for Contingent Claims: Large Deviations Effects

Scott Robertson, Konstantinos Spiliopoulos

We study utility indifference prices and optimal purchasing quantities for a non-traded contingent claim in an incomplete semi-martingale market with vanishing hedging errors. We m…

math.PR2014

Variance reduction for irreversible Langevin samplers and diffusion on graphs

Luc Rey-Bellet, Konstantinos Spiliopoulos

In recent papers it has been demonstrated that sampling a Gibbs distribution from an appropriate time-irreversible Langevin process is, from several points of view, advantageous wh…

math.PR2014★ 69 cited

Irreversible Langevin samplers and variance reduction: a large deviation approach

Luc Rey-Bellet, Kostantinos Spiliopoulos

In order to sample from a given target distribution (often of Gibbs type), the Monte Carlo Markov chain method consists in constructing an ergodic Markov process whose invariant me…

q-fin.RM2014

Systemic Risk and Default Clustering for Large Financial Systems

Konstantinos Spiliopoulos

As it is known in the finance risk and macroeconomics literature, risk-sharing in large portfolios may increase the probability of creation of default clusters and of systemic risk…