From 3d9b0f42b2ba89d0120aa723d7e4f0a3d1bfcf56 Mon Sep 17 00:00:00 2001 From: Benjamin Remy Date: Thu, 8 Feb 2024 09:40:35 -0500 Subject: [PATCH] adding metacalibration slide --- Thunch2023/index.html | 47 ++++++++++++++++++++++++- assets/gravitation_lensing_cluster.jpg | Bin 0 -> 39261 bytes 2 files changed, 46 insertions(+), 1 deletion(-) create mode 100644 assets/gravitation_lensing_cluster.jpg diff --git a/Thunch2023/index.html b/Thunch2023/index.html index 6bd6deb..061ec6b 100644 --- a/Thunch2023/index.html +++ b/Thunch2023/index.html @@ -41,7 +41,7 @@

Generative modeling for
weak Lensing inverse problems

Benjamin Remy

Thunch Talk
at - the Departement of Astrophysical Sciences, Princeton University

+ the Department of Astrophysical Sciences, Princeton University


Ph.D. under the supervision of Jean-Luc Starck and François Lanusse

@@ -1020,6 +1020,51 @@

Measuring galaxies ellipticity

degrading data + +
+

Calibrating the multiplicative bias

+
+
+ $\hat \gamma = c + + (1+\color{orange}{m})\gamma_\text{true}, \quad + |m|<10^{-3}$ + +
+
+
+ +
+ Metacalibration: Taylor expansion, assuming $\gamma \ll 1$ +

+ $e = e|_{\gamma=0} + \underset{R = 1 + + m}{\underbrace{\dfrac{\partial e}{\partial + \gamma}\Big|_{\gamma = 0}}} \gamma + \mathcal{O}(\gamma^2)$ + +

+ + Response matrix by finite differentiation: +

+ $R_{ij} = \dfrac{e^+_i - e^+_i}{\Delta \gamma_{j}}$ + +

+ Requires to add anticorrelated noise to the data, + due to artificial shear. +
+
+ +
+ $\gamma \ll 1$ no longer true close to a cluster + + Requires to compute $\dfrac{\partial^2 e}{\partial + \gamma^2}\Big|_{\gamma = 0}$, $\dfrac{\partial^3 e}{\partial + \gamma^3}\Big|_{\gamma = 0}$, ... +
+
+
+ Let's do forward modeling instead +
+

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