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Mathematical Modeling
Self Organizing Map
Overview and Application in Prediction

Presented By
Decky Aspandi Latif
56070701073
Saturday, November 23, 2013
Layout
●

Introduction
●

SOM in Brief
●

Basic of SOM
●
●

●

SOM in Modeling and Prediction
Application of SOM in Stock Prices
Prediction

Conclusion

Saturday, November 23, 2013
Introduction
●

●

●

●

Currently, great need emerges for better
techniques, tools and practices.
Modeling could be applied to various area →
minimize cost & Optimization
Self Organizing Map → ANN(connectionist
paradigms) → support and changes in
approaches & modeling technique
Disparate data analysis in 2 scales, regional and
global.

Saturday, November 23, 2013
Self Organizing Map
●

Proposed by Tuevo Kohonen (1972)

●

Unsupervised Neural Network

●

Data driven learning process

●

Reduce dimensions,display similarities

Saturday, November 23, 2013
SOM (Cont..)
●

Mapping Nodes to group of class

●

Selection of Best Matching Unit

●

Cooperative Learning

Algorithm :
2. choose random vector
3. examined & select BMU
4. Calculate Neighbourhood
5. Update appropriate weights
6. Repeat step 2 for N times
Saturday, November 23, 2013

Y, Red, Elevation,..

1. Initialize weight of nodes

X, Blue, Density,..
SOM → Modeling
●

Clustering Capability

●

Modeling & Prediction
Prediction

Saturday, November 23, 2013

Ecological
Modeling

Regional Data
Analysis
Application → Prediction
“ Predicting Stock Prices Using a Hybrid Kohonen Self Organizing
Map (SOM) “ , Mark & Olatoyosi, 2007
●

Main aim → Stock Prices Prediction

●

Applied on LucentI Inc, using five years data → 1251 points

●

Hybridization of SOM with Multilayer Perceptron

Saturday, November 23, 2013
HSOM → Prediction (cont)
●

Flow of Process

Net Configuration

Saturday, November 23, 2013
HSOM → Prediction (cont)
●
●

●

Hybrid HSOM outperform SOM & BPN
BPN comes inaccurate when price > $60 →
Significant Loss in investment
HSOM has lowest error
(0~12) → Increase in return
of Investment (ROI)

Saturday, November 23, 2013
Conclusion
●

ANN can be used to enhance and alter the
modeling technique

●

SOM is an Unsupervised Neural Network

●

Clustering classes with mapping nodes

●

●

Various application of SOM on Modeling &
Simulation → prediction
By collaborating SOM with other method →
greater results.

Saturday, November 23, 2013
The End.

Thank You.
Saturday, November 23, 2013

Decky Aspandi Latif
56070701073

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SOM Modeling and Stock Price Prediction

  • 1. Mathematical Modeling Self Organizing Map Overview and Application in Prediction Presented By Decky Aspandi Latif 56070701073 Saturday, November 23, 2013
  • 2. Layout ● Introduction ● SOM in Brief ● Basic of SOM ● ● ● SOM in Modeling and Prediction Application of SOM in Stock Prices Prediction Conclusion Saturday, November 23, 2013
  • 3. Introduction ● ● ● ● Currently, great need emerges for better techniques, tools and practices. Modeling could be applied to various area → minimize cost & Optimization Self Organizing Map → ANN(connectionist paradigms) → support and changes in approaches & modeling technique Disparate data analysis in 2 scales, regional and global. Saturday, November 23, 2013
  • 4. Self Organizing Map ● Proposed by Tuevo Kohonen (1972) ● Unsupervised Neural Network ● Data driven learning process ● Reduce dimensions,display similarities Saturday, November 23, 2013
  • 5. SOM (Cont..) ● Mapping Nodes to group of class ● Selection of Best Matching Unit ● Cooperative Learning Algorithm : 2. choose random vector 3. examined & select BMU 4. Calculate Neighbourhood 5. Update appropriate weights 6. Repeat step 2 for N times Saturday, November 23, 2013 Y, Red, Elevation,.. 1. Initialize weight of nodes X, Blue, Density,..
  • 6. SOM → Modeling ● Clustering Capability ● Modeling & Prediction Prediction Saturday, November 23, 2013 Ecological Modeling Regional Data Analysis
  • 7. Application → Prediction “ Predicting Stock Prices Using a Hybrid Kohonen Self Organizing Map (SOM) “ , Mark & Olatoyosi, 2007 ● Main aim → Stock Prices Prediction ● Applied on LucentI Inc, using five years data → 1251 points ● Hybridization of SOM with Multilayer Perceptron Saturday, November 23, 2013
  • 8. HSOM → Prediction (cont) ● Flow of Process Net Configuration Saturday, November 23, 2013
  • 9. HSOM → Prediction (cont) ● ● ● Hybrid HSOM outperform SOM & BPN BPN comes inaccurate when price > $60 → Significant Loss in investment HSOM has lowest error (0~12) → Increase in return of Investment (ROI) Saturday, November 23, 2013
  • 10. Conclusion ● ANN can be used to enhance and alter the modeling technique ● SOM is an Unsupervised Neural Network ● Clustering classes with mapping nodes ● ● Various application of SOM on Modeling & Simulation → prediction By collaborating SOM with other method → greater results. Saturday, November 23, 2013
  • 11. The End. Thank You. Saturday, November 23, 2013 Decky Aspandi Latif 56070701073