Images from NUMDE
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Code
- NUMDE (Numerical Differential Equations
Library),
a general purpose library written in C/C++, to compute
numerical solutions of Ordinary Differential Equations and
to create graphical representations of the solutions. This
code was used to generate the cover and some of the pictures
inside the book Differential
Equations and Linear Algebra
by Professor Gilbert Strang
- Runge-Kutta algorithm in C, for pedagogical purposes: rungekutta.c
- Signal Processing over ECG in
Python.
- Unidimensional Brownian Bridges
in Julia
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Price of European and American
Options using the Crank-Nicolson algoritm (in pure
C). The results match the results in here.
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Outline of Machine Learning Course (Fall 2018)
Code and some basic notes
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Gradient descent.
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Capacity, Underfitting and Overfitting
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Stochastic Gradient Descent (part
1)
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Perceptrons
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Back Propagation in
Artificial Neural Networks (SGD part 2)
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Back Propagation in
action with this mini library of functions.
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Modular approach to Back
Propagation. Requires this mini library of functions.
- Regularization in Artificial Neural Networks
- Convolutional Neural Networks
- Tensorflow
Basics
- Introduction to
Keras example 1
- Introduction to
Keras example 2
- CNN on
MNIST example
- CNN on
Fashion MNIST example
Case Studies projects
- Sports performance of NBA teams in regular season.
- Detailed explanation
of
Data Consolidation. The plain Python script.
- Principal Components Analysis and Autoencoders.
- Toy Model for PCA
playground here. The
Julia module to compute
N-dimensional geometry. To see the pictures please go
to PDF version of the file.
- Credit Risk in the context of Machine Learning.
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Code for the Modeling Course (Spring 19)
All information here.
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Gilbert Strang
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Rogério Martins
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Charles Fefferman
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André Neves
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Ingrid Daubechies
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Carles Simó
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Charles Johnson
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João Pedro Nunes
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Cédric Villani
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Henrique Leitão
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Mega Ferreira e Francisco Domingues
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Publications
- Bounded Domains of Negative Multipliers,
with Charles
Johnson, to appear in Journal of Mathematical Analysis and
Applications.
- Generalized synchronization in a system of several
non-autonomous oscillators coupled by a medium,
with Rogério
Martins, Kybernetika, Volume: 51, Issue: 2, page 347-373.
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