delphi matrix library

matrix functions exposed by a matrix class/interface

* Base matrix operations: addition, subtraction, multiplication, scaling
* Special functions for elementwise element handling
* Tons of functions for easy to use element and initialization functionality
* Auxilary functions for sum, mean, variance, min/max and value abs
* Matrix sorting and Median calculation
* Matrix inversion and Determinant calculation
* QR, LU and Cholesky decomposition
* Singular value decomposition
* Eigenvalue calculation
* Pseudoinversion
* Least squares equation solving for overdetermined matrices
Except for the Eigenvalue computations there exists assembler optimized and cache oblivious and multithreaded versions of the algorithms as well as plain Delphi versions. The optimizations are not only for 32 but also for 64 bit compilers (x86 and x64 optimizations). For most of the algorithms there also exists multithreaded versions the utilize more computational power.

implemented subspace methods

* PCA - one pass and incremental versions.
* PCA - robust reconstruction methods
* Independent component analysis
* Non negative component analysis
* Canonical correlation analysis
* Partial least squares
* Dynamic time warping and simple correlation

auxilary functionality

* Persistence system (reading and loading of the above objects)
* Random number generation class that utilizes hardware instraction RDRAND, the Mersenne Twister algorithm as well as operating system specific random number generators and of course the standard delphi PRNG.
* Operating system depending implementation of different multithreading pools.

The library is compatible with at least Delphi2007 to the latest Delphi as well as Freepascal IDE's like CodeTyphoon or Lazarus. The library also includes compatibility with MacOs, 32 and 64bit compilers.

delphi artificial intelligence library

implemented base algorithms

* Decission stub
* Fisher Linear Discriminant Analysis (LDA) including robust classification
* Naive Bayes
* kMeans
* C4.5 decission trees
* Support vector machines
* Radial basis functions
* Feed forward neural networks

ensemble methods

* Bagging
* Adaboost
* GentleBoost
* Boosting cascade

additional implementations

* incremental image feature extractions
* adaboost implementation including the incremental image features
* Haar features
* persistence handling

The library is utilizes the matrix library but is only compatible with Delphi and the win32 platform.

delphi image helper library

* Delauny triangulation
* Base image filters
* Image warping based on triangulations
* Procrustes analysis
* Thin plate spline warping
* Active Appearance Models
* Persistence handling
The library is utilizes the matrix library but is only compatible with Delphi and the win32 platform.