Đề tài Evolving neural network through a reverse encoding tree
Definition
Each neural network is encoded by edge encoding
Limit the maximum numbers of nodes (m) in the neural network
Each neural network is defined a individual seeding(I) from the population
Minimal Initialization
Random is unlikely to reduce the complexity of the structure via mutation
want network to be as simple as possible
Inital structure with no hidden nodes.
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Evolving Neural Network Through A Reverse Encoding Tree
Giáo viên hướng dẫn: PGS.TS Huỳnh Thị Thanh Bình
Sinh Viên : Đào Minh Khánh 20183562
Lê Thế Tài 20174180
Evolving Neural Networks through a Reverse Encoding Tree : Haoling Zhang; Chao-Han Huck Yang, Hec tor Zenil, Narsis A.Kiani, Yue Shen, Jesper N.Tegner, IEEE 2020
Reference
Evolving neural networks through augmenting topologies: Kenneth O. Stanley,Risto Miikkulainen, The MIT Press Journals 2002
x
Problem
√
01
Neur o evolution through Augmenting Topologies
02
Encoding Network
03
Neural Evolution of Reverse Encoding Tree
04
CartPole-v0
1) NEAT
NeuralEvolution of Augmenting Topologies(NEAT) is a genetic algorithm for generation of evolving neural network developed by Ken Stanley 2002
Target: Modify the weighting parameters and structure of networks
Keys techniques:
- Genetic Encoding
- Historical Marking Crossover
- Speciation
- Explicit Fitness Sharing
- Minimal Structure of Initialization
NEAT
Is there a genetic representation that allows disparate topologies to cross over in a meaningful way?
How can topological innovation that needs a few generations to be optimized be protected so that it does not disappear from the population prematurely?
How can topologies be minimized throughout evolution without the need for a specially contrived fitness function that measures complexity?
NEAT Encoding of Network Architecture
NEAT Mutation
Crossover in Network Topologies
“Competing Conventions”
NEAT Crossover
“Historical Markings”
Protecting Innovation with Speciation
E: number of excess genes
D: number of disjoint genes
W: the average weight difference of matching genes, include disabled genes
N: the number of genes in the larger genome, normalized for genome size (N can be set to 1 if both genomes are small)
Protecting Innovation with Speciation
Threshold δt, in each generation, genomes are sequentially placed into species
Each existing species is represented by a random genome inside the species from the previous generation
Fitness Computation Speciation
“explicit fitness sharing”
The adjusted fitness f’i for organism i is calculated according to its distance δ from every other organism j in the population
The sharing function sh( ) is set to 0 when distance δ(i, j) is above the threshold δt; otherwise, sh(δ(i, j)) is set to 1
Minimal Initialization
Random is unlikely to reduce the complexity of the structure via mutation
want network to be as simple as possible
Inital structure with no hidden nodes.
2) Network Encoding
NeuralEvolution of Reverse Encoding Tree
Definition
Each neural network is encoded by edge encoding
Limit the maximum numbers of nodes (m) in the neural network
Each neural network is defined a individual seeding(I) from the population
Algorithms Detail
Initialize Population
Review
Evolution Progress
m is the max node in the network
p is the number of individual when initializing population
Initialize Population
The distance between two individuals is encoded as theEuclidean distance of the corresponding feature matrix
Initialize Population
Evolution Progress
The correlation coefficient of distance from the optimal position of the individual and fitness for all the individuals in each cluster is calculated, to describe the situation of each cluster:
p=-0.78
W hen
2) Create a glocal individual from the specified parent individuals
b) Golden section search
a) Binary search
RET Search
1) Create a nearby individual from the specified parent
Random probability
Add new node, delete node, delete connection,..
b
Golden section search
Cart Pole
hyper-parameter
value
iteration
1000
fitness_threshold
0.9999
evoluation_size
6
activation
relu
episode_steps
500
episode generation
20
Method
Avg.gen
Paper
147.33
0 Hidden Node
141.13
2 Hidden Node
144.79
3 Hidden Node
142.11
4 Hidden Node
140.29
6 Hidden Node
114.89
8 Hidden Node
142.81
10 Hidden Node
92.05
15 Hidden Node
138.27
Conclusion
Advantage
Work with a few problem in reinforcement learning( Cart-Pole, Lunar Lander,...)
Disadvantage:
The number maximum node must be chosen by people
Expensive memory when the number max node is large
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