added thesis

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Morten Hjorth-Jensen
2022-10-21 07:08:34 +02:00
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@@ -23,7 +23,7 @@ DATE: today
* "Video on Convolutional Neural Networks from MIT":"https://www.youtube.com/watch?v=iaSUYvmCekI&ab_channel=AlexanderAmini"
* "Video on CNNs from Stanford":"https://www.youtube.com/watch?v=bNb2fEVKeEo&list=PLC1qU-LWwrF64f4QKQT-Vg5Wr4qEE1Zxk&index=6&ab_channel=StanfordUniversitySchoolofEngineering"
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!bblock And Lecture material on CNNs
* "Lectures from IN5400 spring 2019":"https://www.uio.no/studier/emner/matnat/ifi/IN5400/v19/material/week5/in5400_2019_week5_convolutional_nerual_networks.pdf"
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===== Using Automatic differentiation =====
a
In our discussions of ordinary differential equations
we will also study the usage of "Autograd":"https://www.youtube.com/watch?v=fRf4l5qaX1M&ab_channel=AlexSmola" in computing gradients for deep learning. For the documentation of Autograd and examples see the lectures slides from "week 39":"https://compphysics.github.io/MachineLearning/doc/pub/week39/html/week39.html" and the "Autograd documentation":"https://github.com/HIPS/autograd".
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===== Back propagation and automatic differentiation =====
@@ -62,6 +62,12 @@ and output layer to any given precision.
"An Introduction to Neural Network Methods for Differential Equations":"https://www.springer.com/gp/book/9789401798150", by Yadav and Kumar.
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!bblock Master thesis on applying deep learning to problems in mechanics
"Using Deep Reinforcement Learning for Active Flow Control":"https://www.duo.uio.no/handle/10852/79212", by Marius Holm
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!bblock Thanks to Kristine Baluka Hein
The lectures on differential equations were developed by Kristine Baluka Hein, now PhD student at IFI.
A great thanks to Kristine.
@@ -2640,7 +2646,7 @@ We say we perform a filtering (convolution is the mathematical operation).
The mathematics of CNNs is based on the mathematical operation of
_convolution_. In mathematics (in particular in functional analysis),
convolution is represented by matheematical operation (integration,
convolution is represented by mathematical operation (integration,
summation etc) on two function in order to produce a third function
that expresses how the shape of one gets modified by the other.
Convolution has a plethora of applications in a variety of disciplines, spanning from statistics to signal processing, computer vision, solutions of differential equations,linear algebra, engineering, and yes, machine learning.