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A Hypermap Model for  Multiple Sequence Processing  Abel Nyamapfene 30 April 2007
Research Motivation I am investigating  complex sequence processing   and  Multiple Sequence Processing  using an  Unsupervised   Neural Network  processing paradigm based on the Hypermap Model by Kohonen
What is A Sequence? ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Why Unsupervised Processing?  ,[object Object],[object Object]
Issues in Complex Sequence Processing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Issues in Multiple Sequence Processing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Hypermap Model  (Kohonen, 1991) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Context domain selected using input context vector Best match from within the selected context domain picked using input pattern vector
Barreto-Araujo Extended Hypermap Model(1) a(t-1), y(t-1) a(t), y(t) Lateral Weights  M Feedforward Weights  W z -1 z -1 z -1 z -1 z --1 context Sensory  stimuli
Barreto-Araujo Extended Hypermap Model(1) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Barreto-Araujo Extended Hypermap Model(2) z -1 z -1 z -1 z -1 Fixed  context Time-varying context Sensorimotor stimuli  a(t-1), y(t-1) a(t), y(t) Lateral Weights  M Feedforward Weights  W z --1
Barreto-Araujo Extended Hypermap Model(2) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Hypermap Model for Multiple Sequence Processing ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Temporal Hypermap Neuron D j 0 D j 1 D j 2 D j (d-1 ) D j+1 0 D j+1 1 D j+2 0 D j+1 (d-2) D j+2 (d-3) D j+d-1 0 D j+d-2 1 (j-1) th  Neuron ( j+1) th  Neuron Pattern Vector Context Vector Threshold unit Delay units   Hebbian Link Hebbian Link Inhibitory Links
The  Competitive Queuing  Scheme for Context- Based Recall ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The  Competitive Queuing  Scheme for  Context- Based Recall ,[object Object],[object Object],[object Object],[object Object],[object Object]
The  Short Term Mechanism  for Sequence Item Identification and Recall ,[object Object],[object Object],[object Object],[object Object],[object Object]
Experimental Evaluation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Experimental Evaluation 1: Evaluation Data Artificially Intelligent Neural Networks II  6 Supervised Learning  11 Probabilistic Neural Networks and  Radial Basis Functions  5 Applications of Neural Networks to Power  Systems  10 Hybrid Systems III 4 Image Processing  9 Pattern Recognition II  3 Neural Systems Hardware  8 Intelligent Control II  2 Time Series Prediction  7 Learning and Memory II  1 Sequence No Sequence No
Network correctly recalls sequences  through Context  and when  partial sequences  applied to the network Hybrid Systems III Hybrid  Artificially Intelligent Neural Networks II Artificially cognition II cog Neural Networks and Radial Basis Functions Neural Networks and No CHOICE due to conflict between  sequences 2 and 6 Intelligent Series Prediction Series Time Series Prediction Time Processing Proc No CHOICE due to conflict between  sequences 5 and 10 Pro Radial Basis Functions Radial  Learning and Memory I1  Learning and Recalled Sequence Partial Sequence
Case Study: Two-Word Child Language “ there cookie”  instead of   “there is a cookie” “ more juice”  instead of   “Can I have some more juice” “ baby gone”  instead of   “The baby has disappeared”
Two-Word Model Assumptions ,[object Object],[object Object],[object Object],[object Object],[object Object]
Two-Word Model Simulation ,[object Object],[object Object],[object Object],[object Object]
Perceptual  Entity  Vector Word Vector Conceptual  Relation  Vector Inhibitory Link Z -1 Z -1 (j-1) th  Neuron j th   Neuron (j+1) th  Neuron Threshold Logic Unit Delay Line Element Temporal Hypermap Segment
Discussion: Two-Word Model ,[object Object],[object Object],[object Object]
Simulating Transition from One-Word to Two-Word Speech From Saying “ cookie” “ more” “ down” To Saying: “ there cookie” “ more juice” “ sit down”
One-Word to Two-Word Transition Model Assumptions ,[object Object],[object Object],[object Object],[object Object],[object Object]
Gated Multi-net Simulation of  One-Word to Two-Word Transition ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
One-Word to Two-Word Model Static CP network Temporal Hypermap Inhibitory Link Word vector Perceptual entity vector Conceptual  Relationship vector z -1 z -1
Output Two-Word Utterances Plotted Against Number of Training Cycles
Future Work: Majority of multimodal models of early child language are static: Image (input) Image (output) Label (output) Label (input) Plunkett et al model, 1992   perceptual input Conceptual  Relation input One Word Output Nyamapfene & Ahmad, 2007
[object Object],[object Object],But in, reality, the early child language environment is both multimodal and temporal: So we intend to model early child language as comprising phonological word forms and perceptual inputs as temporal sequences
We Will Make These Modifications D j 0 D j 1 D j 2 (j-1) th  Neuron ( j+1) th  Neuron Pattern Vector Context Vector Threshold unit Delay units   Hebbian Link Hebbian Link To include Pattern Items  from other  sequences 1 To Include Feedback from Concurrent  Sequences 2
Thank You Discussion and Questions ??!!

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Temporal Hypermap Theory and Application

  • 1. A Hypermap Model for Multiple Sequence Processing Abel Nyamapfene 30 April 2007
  • 2. Research Motivation I am investigating complex sequence processing and Multiple Sequence Processing using an Unsupervised Neural Network processing paradigm based on the Hypermap Model by Kohonen
  • 3.
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  • 8. Barreto-Araujo Extended Hypermap Model(1) a(t-1), y(t-1) a(t), y(t) Lateral Weights M Feedforward Weights W z -1 z -1 z -1 z -1 z --1 context Sensory stimuli
  • 9.
  • 10. Barreto-Araujo Extended Hypermap Model(2) z -1 z -1 z -1 z -1 Fixed context Time-varying context Sensorimotor stimuli a(t-1), y(t-1) a(t), y(t) Lateral Weights M Feedforward Weights W z --1
  • 11.
  • 12.
  • 13. Temporal Hypermap Neuron D j 0 D j 1 D j 2 D j (d-1 ) D j+1 0 D j+1 1 D j+2 0 D j+1 (d-2) D j+2 (d-3) D j+d-1 0 D j+d-2 1 (j-1) th Neuron ( j+1) th Neuron Pattern Vector Context Vector Threshold unit Delay units Hebbian Link Hebbian Link Inhibitory Links
  • 14.
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  • 18. Experimental Evaluation 1: Evaluation Data Artificially Intelligent Neural Networks II 6 Supervised Learning 11 Probabilistic Neural Networks and Radial Basis Functions 5 Applications of Neural Networks to Power Systems 10 Hybrid Systems III 4 Image Processing 9 Pattern Recognition II 3 Neural Systems Hardware 8 Intelligent Control II 2 Time Series Prediction 7 Learning and Memory II 1 Sequence No Sequence No
  • 19. Network correctly recalls sequences through Context and when partial sequences applied to the network Hybrid Systems III Hybrid Artificially Intelligent Neural Networks II Artificially cognition II cog Neural Networks and Radial Basis Functions Neural Networks and No CHOICE due to conflict between sequences 2 and 6 Intelligent Series Prediction Series Time Series Prediction Time Processing Proc No CHOICE due to conflict between sequences 5 and 10 Pro Radial Basis Functions Radial Learning and Memory I1 Learning and Recalled Sequence Partial Sequence
  • 20. Case Study: Two-Word Child Language “ there cookie” instead of “there is a cookie” “ more juice” instead of “Can I have some more juice” “ baby gone” instead of “The baby has disappeared”
  • 21.
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  • 23. Perceptual Entity Vector Word Vector Conceptual Relation Vector Inhibitory Link Z -1 Z -1 (j-1) th Neuron j th Neuron (j+1) th Neuron Threshold Logic Unit Delay Line Element Temporal Hypermap Segment
  • 24.
  • 25. Simulating Transition from One-Word to Two-Word Speech From Saying “ cookie” “ more” “ down” To Saying: “ there cookie” “ more juice” “ sit down”
  • 26.
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  • 28. One-Word to Two-Word Model Static CP network Temporal Hypermap Inhibitory Link Word vector Perceptual entity vector Conceptual Relationship vector z -1 z -1
  • 29. Output Two-Word Utterances Plotted Against Number of Training Cycles
  • 30. Future Work: Majority of multimodal models of early child language are static: Image (input) Image (output) Label (output) Label (input) Plunkett et al model, 1992 perceptual input Conceptual Relation input One Word Output Nyamapfene & Ahmad, 2007
  • 31.
  • 32. We Will Make These Modifications D j 0 D j 1 D j 2 (j-1) th Neuron ( j+1) th Neuron Pattern Vector Context Vector Threshold unit Delay units Hebbian Link Hebbian Link To include Pattern Items from other sequences 1 To Include Feedback from Concurrent Sequences 2
  • 33. Thank You Discussion and Questions ??!!