Category Rapports

Jan
2021

MFG model with a long-lived penalty at random jump times: application to demand side management for electricity contracts - C. Alasseur, L. Campi, R. Dumitrescu, J. Zeng

L'article cherche à décrire la dynamique collective d’un marché de fourniture d’électricité dans lequel une fraction des consommateurs ont souscrit un contrat de type « demand side management », contrat par lequel ...

Nov
2020

Ring the Alarm! Electricity Markets, Renewables, and the Pandemic - David Benatia

The pandemic's impacts on European electricity markets have been enormous, especially in countries with abundant near-zero marginal cost of production like France. This article provides an in-depth quantitative study of ...

Nov
2020

Incentives, lockdown, and testing : from Thucydides’s Analysis to the COVID-19 pandemie - E. Hubert, T. Mastrolia, D. Possamaï and X. Warin

We consider the control of the COVID–19 pandemic via incentives, through either stochastic SIS or SIR compartmental models. When the epidemic is ongoing, the population can reduce interactions between individuals ...

Nov
2020

Equilibrium price in intraday electricity markets - René Aid, Andrea Cosso, and Huyên Pham

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have ...

Juil
2020

Deep backward multistep schemes for nonlinear PDEs and approximation error analysis - M. Germain, H. Pham & X. Warin

We develop multistep machine learning schemes for solving nonlinear partial differential equations (PDEs) in high dimension. The method is based on probabilistic representation of PDEs by backward stochastic differential equations ...

Juil
2020

Fast multivariate empirical cumulative distribution function with connection to kernel density estimation - Nicolas Langrené & Xavier Warin

This paper revisits the problem of computing empirical cumulative distribution functions (ECDF) efficiently on large, multivariate datasets. Computing an ECDF at one evaluation point requires O(N) operations on a dataset ...

Juil
2020

Reaching New Lows? The Pandemic's Consequences for Electricity Markets - David Benatia

The large reductions in electricity demand caused by the COVID-19 crisis have disrupted electricity systems worldwide. This article draws insights from New York into the consequences of the pandemic for ...

Juil
2020

Estimation of the number of factors in a multi-factorial Heath-Jarrow-Morton model in electricity markets - Olivier Féron & Pierre Gruet

In this paper we study the calibration of specific multi-factorial Heath-Jarrow-Morton models to electricity market prices, with a focus on the estimation of the optimal number of factors. We describe ...

Avr
2020

A Principal-Agent approach to study Capacity Remuneration Mechanisms - Clémence Alasseur, Heythem Farhat and Marcelo Saguan

We propose to study electricity capacity remuneration mechanism design through a Principal-Agent approach. The Principal represents the aggregation of electricity consumers (or a representative entity), subject to the physical risk of shortage, ...

Déc
2019

Numerical resolution of McKean-Vlasov FBSDEs using neural networks - Maximilien GERMAIN, Joseph MIKAEL, and Xavier WARIN

We propose several algorithms to solve McKean-Vlasov Forward Backward Stochastic Differential Equations. Our schemes rely on the approximating power of neural networks to estimate the solution or its gradient through ...

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