Numerical Bric-a-Brac
Collections of numerical techniques with Python and standard computational packages (Numpy, SciPy, Numba, Matplotlib ...).
Implicit Solver
Folder implicit_solver
Description Implicit Solver.
Explore code generation of vectorized code for physics solver.
- Time Integrator : Baraff and Witkin's
- Spring / Area / Bending / Collision Constraint
- Early code generator for vectorized code
Path Tracing
Folder path_tracing
Description Path Tracer with Python and Numba
- Multithreading with Memory pool per-thread
ConvNet
Examples of convolution neural network architectures.
| ConvNet |  |
Convolution neural network with Keras |
| ResNet | |
Residual neural network with Keras |
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Generative Network
Examples of generative neural network architectures.
| Autoencoder | - | ... |
| Variational autoencoder | - | ... |
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Stencil Codes
Evaluate stencil codes with Numba (CPU/GPU)
Folder stencil_codes
| Poisson Solver | - | ... |
| Laplace Inpainting | - | ... |
| Conway's game of life | - | ... |
| Convolution matrix | - | ... |
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Dimensionality Reduction
| Optimal transformation with PCA | - | ... |
| Image compression with SVD | |
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| Eigenface | |
... |
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Dynamic Programming
| Dynamic Programming Examples | |
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Graph Theory
| Graph matrices | |
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| Graph colouring | - | .. |
| Dijkstra's algorithm | |
.. |
| Spectral graph theory - WIP | |
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Interpolation and Regression
Interpolation and regression algorithms
Folder interpolation_regression
| RBF Interpolation | - | ... |
| Polynomial Regression | - | ... |
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Machine Learning Study
| Supervised Learning | ||
| Simple linear regression | |
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| Polynomial regression | |
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| Logistic regression | |
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| Multiclass Classification | |
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| Support Vector Machine | |
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| Unsupervised Learning | ||
| K-means clustering | |
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Deep Deformation
WIP of the Fast and deep deformation approximations - I will find time to finish it, no sure when ...
Folder deep_deformation
Multivariable Optimizations
Implementation of Gradient Descent and Newton's methods
File optimizations
- Optimizer : Gradient Descent, Newton-Raphson, Quasi-Newton (BFGS)
- Line Search : Backtracking
Skeletal Subspace Deformation
Skeletal Subspace Deformation
Folder skinning
Inverse Kinematics
Implementation of inverse kinematics using pseudo-inverse of a jacobian matrix
File inverseKinematics.py
- Pseudo-Inverse with regularization term (Damped Least Squares method)
1D Time Integration
Single one-dimensional damped spring to evaluate explicit integrators and compare with analytic solution.
File spring1D_integrator.py
Includes Explicit Euler, RK2, RK4, Semi-Implicit Euler (Euler-Cromer), Leap Frog
Markov Chain - Authors names generator
Generate authors names by using Markov Chain.
It uses the Collection of Poems from Poetry Foundation to generate probability matrix
File markovChain.py
