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Raport de cercetare - Lorentz JÄNTSCHI

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o SVMs application to protein secondary structure prediction<br />

Protein secondary structure prediction<br />

• Different levels of structural organization in proteins<br />

• A problem of central importance in structural biology<br />

• Different measures of prediction accuracy<br />

State of the art<br />

• Choice of the predictors<br />

• Building blocks and architecture of the main prediction methods<br />

Implementation of multi-class SVMs<br />

• Mo<strong>de</strong>ls implemented<br />

• Training algorithm<br />

• Dedicated RBF kernel<br />

• Computation opf weighting vector θ<br />

• Experimental results<br />

Future work<br />

o Multiple kernel learning and HM-SVM for bioinformatic applications<br />

Support Vector Machines (SVMs)<br />

Handling Non-Linearity with Kernels<br />

SVMs as Perceptrons<br />

Application: Predicting Protein Subcellular Localization<br />

Multiple Kernel Learning (MKL)<br />

Large Margin MKL Mo<strong>de</strong>l<br />

Optimization for MKL<br />

Normalization of Kernels<br />

Multiclass Multiple Kernel Learning<br />

Application: Predicting Protein Subcellular Localization<br />

o Semi-Supervised Learning<br />

Why Semi-Supervised Learning?<br />

Why and How Does SSL Work?<br />

Generative Mo<strong>de</strong>ls<br />

The Semi-Supervised SVM (S 3 VM)<br />

Graph-Based Methods<br />

Further Approaches (Co-Training, Transduction)<br />

o Multi-Valued and UB Neurons - I<br />

Why we need the complex valued neurons?<br />

A classical Minsky-Papert’s limitation<br />

Is it possible to learn XOR and Parity n functions using a single neuron?<br />

Multi-Valued and Universal Binary Neurons (MVN and UBN)<br />

Multi-valued mappings<br />

Traditional approaches to learn the multiple-valued mappings on a neuron<br />

Sigmoidal neurons: limitations<br />

Multi-Valued Neuron (MVN)<br />

Multi-valued mappings and multiple-valued logic<br />

Discrete-Valued (k-valued) Activation Function<br />

Multiple-Valued (k-valued) Threshold Functions<br />

Learning Algorithm for the Discrete MVN with the Error-Correction<br />

Learning Rule<br />

Continuous-Valued Activation Function<br />

Learning Algorithm for the Continuous MVN with the Error Correction<br />

Learning Rule<br />

A role of the factor 1/(n+1) in the Learning Rule<br />

Self-Adaptation of the Learning Rate<br />

139

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