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Tunisia Polytechnic School
Data Mining project
Presented by
Mohamed DHAOUI
3rd year engineering student
(contact@Mohamed-dhaoui.com) Academic Year : 2015-2016
Financial time series forecasting using
support vector machines
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a weight parameter, which needs to be
carefully set
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

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 Backpropagation, an abbreviation for
"backward propagation of errors", is a
common method of training artificial neural
networks used in conjunction with
an optimasition method such as gradient
descent. The method calculates the gradient
of a loss function with respect to all the
weights in the network and try to update
these weights,
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 Algorithm:
 initialize network weight (randomly)
 Do
forEach training example ex
prediction = neural-net-output(network, ex)
actual = teacher-output(ex)
compute error (prediction - actual) at the output units
compute for all weights
update network weights
until all examples classified correctly or another stopping criterion satisfied
 return the network
30
 Weights updating
 Δwt = -e* E + α Δwt-1
 =H* δ0
e: learning rate
α :momentun
Wh,o
Hidden
layer
Output
layer
O
H
E= actual-ideal
δ0= -E*f’(o)
δk= f’(h)*Wh,o *δ0
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 Weaknesses
• Gradient descent with backpropagation is not
guaranteed to find the global minimum.
• There is no rule for selecting the best
learning rate and the momentum.
• Slow algorithm that need a computational
resources.
32
SVM perfermance
• Too small value for C caused
underfit the training data
while too large a value of C
caused overfit the training
data
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the best prediction performance of the holdout data
is recorded when delta is 25 and C is 78
SVM perfermance
34
BP perfermance
• The best prediction performance for the holdout data is
produced when the number of hidden processing elements are
24 and the stopping criteria is 146 400 epochs.
• The prediction performance of the holdout data is 54.7332%
and that of the training data is 58.5217%.
35
Comparison
 SVM outperforms BPN and CBR by 3.0981% and
5.852% for the holdout data, respectively
 For the training data, SVM has higher prediction
accuracy than BPN by 6.2309%
 SVM performs better than CBR at 5% statistical
significance level
 SVM does not significantly outperform BP
 BP and CBR do not significantly outperform each
other
36

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Financial time series_forecasting_svm

  • 1. Tunisia Polytechnic School Data Mining project Presented by Mohamed DHAOUI 3rd year engineering student (contact@Mohamed-dhaoui.com) Academic Year : 2015-2016 Financial time series forecasting using support vector machines
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  • 14. a weight parameter, which needs to be carefully set 14
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  • 28.  Backpropagation, an abbreviation for "backward propagation of errors", is a common method of training artificial neural networks used in conjunction with an optimasition method such as gradient descent. The method calculates the gradient of a loss function with respect to all the weights in the network and try to update these weights, 28
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  • 30.  Algorithm:  initialize network weight (randomly)  Do forEach training example ex prediction = neural-net-output(network, ex) actual = teacher-output(ex) compute error (prediction - actual) at the output units compute for all weights update network weights until all examples classified correctly or another stopping criterion satisfied  return the network 30
  • 31.  Weights updating  Δwt = -e* E + α Δwt-1  =H* δ0 e: learning rate α :momentun Wh,o Hidden layer Output layer O H E= actual-ideal δ0= -E*f’(o) δk= f’(h)*Wh,o *δ0 31
  • 32.  Weaknesses • Gradient descent with backpropagation is not guaranteed to find the global minimum. • There is no rule for selecting the best learning rate and the momentum. • Slow algorithm that need a computational resources. 32
  • 33. SVM perfermance • Too small value for C caused underfit the training data while too large a value of C caused overfit the training data 33
  • 34. the best prediction performance of the holdout data is recorded when delta is 25 and C is 78 SVM perfermance 34
  • 35. BP perfermance • The best prediction performance for the holdout data is produced when the number of hidden processing elements are 24 and the stopping criteria is 146 400 epochs. • The prediction performance of the holdout data is 54.7332% and that of the training data is 58.5217%. 35
  • 36. Comparison  SVM outperforms BPN and CBR by 3.0981% and 5.852% for the holdout data, respectively  For the training data, SVM has higher prediction accuracy than BPN by 6.2309%  SVM performs better than CBR at 5% statistical significance level  SVM does not significantly outperform BP  BP and CBR do not significantly outperform each other 36