My Scientific Activity

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List of Positions Held and Scientific Activity in Short                                                 



Scientific Characteristics of Dr. Karol Grudziński for the post-doctoral time (2002-by now)

The issue of minimizing the functions of many variables is so fundamental that a lot of attention has been paid to it. The perennial problem of scientists is still not fast enough minimization methods that are a  bottleneck in studying physical, mathematical problems, etc. Researchers outrun in developing and refining many methods of minimization to obtain the fastest and most accurate algorithms. One of the newer minimization methods, or rather one of the more recent modifications of the long-known simplex optimization procedure, is the EkPMinimizer system by Karol Grudziński. It is a modification of the simplex method invented by Nelder and Mead in the 60s and implemented by Martin Lampton in Java. The improvement of this implementation by Lampton, made by Karol Grudziński, consists mainly in limiting the number of points on which the simplex is spanned. If we mark the dimension of our problem with N, the modification constituting the  EkPMinimizer system consists mainly in selecting M  simplex points where M << N + 1.

The first system that was based on  EkPMinimizer was the EkP reference vector selection system.  It is a method of selecting prototypes based on compression of the training set and used to classify the test set based on this compressed (reduced) training set. The EkP method belongs to a crucial division of machine learning, and basing it on EkPMinimizer makes this algorithm allow you to classify millions of samples in the blink of an eye and with very high accuracy. PM-M (a modification of SBL-PM-M based on amoeba simplex minimizer from Numerical Recipes) developed by Karol Grudziński is the second prototype selection algorithm that has been based on the EkPMinimizer engine. Like EkP, it also benefits from EkPMinimizer’s advantages and offers incredible speed of classification and very high classification accuracy.

Karol Grudziński has developed many more very precious algorithms that are all based together on the EkPMinimizer optimization engine. With time, these algorithms will be gradually improved, reimplemented, published, and delivered to academic and business communities.

Selected Recent Publications and Papers in Preparation

Downloads

Results for Various Numerical Experiments