Julien Pascal
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The bias-corrected Monte Carlo operator
Introduction In this blog post, I am going to present my recent work on the bias-corrected Monte Carlo operator, or more compactly …
May 1, 2024
10 min read
Numerical Approximation of Expectations Squared
Introduction Recently, I came across a simple question that led me through a quite interesting rabbit hole. The question is very simple …
Sep 3, 2022
21 min read
The Curse of Dimensionality and Adaptive Sparse Grids
Introduction The curse of dimensionality is at the heart of dynamic programming. And dynamic programming is the cornerstone of modern …
Feb 12, 2022
10 min read
Artificial Neural Networks to Solve Economic Models
Introduction In a previous post, I discussed why Artificial Neural Networks (ANN) are very popular tools: (i) they can approximate a …
Jan 3, 2022
19 min read
Artificial Neural Networks as universal function approximators
Introduction Artificial Neural networks (ANN) are very trendy at the moment, and rightly so. They are being used everywhere in big tech …
Nov 28, 2021
12 min read
Young's method (2010) to simulate a cross-section
Introduction Solving economic models involves (i) finding the optimal response of individuals given the state of the economy (the …
Jan 18, 2021
8 min read
Aiyagari Model with Aggregate Uncertainty
Introduction The Bewley-Huggett-Aiyagari-Imohoroğlu economies are the workhorse of modern macroeconomics. In these economies, markets …
May 19, 2020
15 min read
The GenBKM Algorithm
In a previous post I presented the BKM algorithm , which can used to approximate solutions of macroeconomic models with aggregate …
Apr 21, 2020
9 min read
The linear–quadratic regulator Part II
This notebook builds upon what has been described in Part I. In Part I, we introduced the linear–quadratic regulator (LQR) framework in …
Apr 5, 2020
9 min read
The linear–quadratic regulator Part I
The two main goals of this blog post is to introduce what the linear–quadratic regulator (LQR) framework is and to show how to solve …
Apr 1, 2020
10 min read
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