Gaussian processes for machine learning.

Edward S. Blurock
2006
17 references

Abstract

AbstractMachine learning clustering techniques are used to characterize and, after the training phase, to identify phases within an ignition process. For the ethanol mechanism used in this paper, four physically identifiable phases were found and characterized: the initiation phase, preignition phase, ignition phase, and the postignition phase. The clustering is done with respect to fuzzy logic predicates identifying the maxima, minima, and inflection points of the species profiles. The cluster descriptions characterize the phases found and are in human interpretable form. In addition, these descriptions are powerful enough to be used to predict the phase structure under new conditions. Cluster phases were calculated for the ethanol mechanism at an equivalence ratio of 0.5, a pressure of 3.3 bar, and the temperatures 1200, 1300, 1400, and 1500 K. The resulting cluster phase descriptions were then successfully used to predict the phase structure and ignition delay times for other temperatures in the range from 1200 to 1500 K. The effect of different fuzzy logic predicate profile descriptions is studied to emphasize that the boundaries of some phases, specifically that between the preignition and the ignition phase, are a matter of what the modeler considers important. The end of the ignition phase corresponds to the ignition delay time and was relatively independent of the predicate descriptions used to determine the phases. © 2006 Wiley Periodicals, Inc. Int J Chem Kinet 38: 621–633, 2006

1 repository
17 references

Code References

scikit-learn/scikit-learn
4 files
doc/modules/gaussian_process.rst
6
The implementation is based on Algorithm 2.1 of [RW2006]_. In addition to
Chapter 3 of [RW2006]_.
in Eqs. (3.21) and (3.24) of [RW2006]_). The :class:`GaussianProcessClassifier`
Chapter 4 of [RW2006]_. :ref:`This example
See [RW2006]_, pp84 for further details regarding the
.. [RW2006] `Carl E. Rasmussen and Christopher K.I. Williams,
sklearn/gaussian_process/_gpc.py
6
The implementation is based on Algorithm 3.1, 3.2, and 5.1 from [RW2006]_.
.. [RW2006] `Carl E. Rasmussen and Christopher K.I. Williams,
Based on algorithm 3.2 of [RW2006]_, this function returns the latent
The implementation is based on Algorithm 3.1, 3.2, and 5.1 from [RW2006]_.
.. [RW2006] `Carl E. Rasmussen and Christopher K.I. Williams,
Based on algorithm 3.2 of [RW2006]_, this function returns the latent
sklearn/gaussian_process/_gpr.py
2
The implementation is based on Algorithm 2.1 of [RW2006]_.
.. [RW2006] `Carl E. Rasmussen and Christopher K.I. Williams,
sklearn/gaussian_process/kernels.py
3
.. [2] `Carl Edward Rasmussen, Christopher K. I. Williams (2006).
.. [1] `Carl Edward Rasmussen, Christopher K. I. Williams (2006).
.. [1] `Carl Edward Rasmussen, Christopher K. I. Williams (2006).
Link copied to clipboard!