3/39 Introduction Clustering: Construct decision boundaries based on unlabeled data. Topology learning: find a topology structure that closely reflects the topology of the data distribution Online incremental learning: Adapt to new information without corrupting previously learned information
4/39 Vector Quantization Targets To minimize the average distortion through a suitable choice of codewords Application Data compression, speech recognition Separate the data set to Voronoi regions, find the centroid of the Voronoi regions LBG method (Linde, Buzo & Gray, 1980) Dependence on initial starting conditions Tendency to result in local minima
5/39 Adaptive incremental LBG (Shen & Hasegawa, 2005) To solve the problem caused by poorly chosen initial conditions independent of initial conditions With fixed number of codewords, to find a suitable codebook to minimize the distortion error MQE. It can work better than or same as ELBG (Patane & Russo, 2001) With fixed distortion error, to minimize the number of codewords and find a suitable codebook. Meaning: To get the same reconstruction quality for different vector set, the codebook will have different size and thus can save plenty of storage.
6/39 Test Image
Lena (512*512*8) is separated to 4*4 blocks. Such blocks are the input vectors. There are totally 16384 vectors.
Peak Signal to Noise Ratio (PSNR) is used to evaluate the resulting images after the quantization process. 2 255 PSNR 10 log10 1 N (f i() g i 2 ( )) i N 1 Lena (512*512*8)
7/39 Improvement I: Incrementally inserting codewords The optimal solution of k- clustering problem can be reachable from the (k- 1)-clustering problem.
8/39 Improvement II: Distance measure function Within cluster distance must be significantly less than between cluster distance.
l 2 p d (x, c) ( (x c ) ) i i i 1
p log q 1 10
9/39 Improvement III: Delete and insert codeword Delete codeword with lowest local distortion error Insert codeword near the codeword with highest local distortion error
10/39 Experiment 1 PSNR Number of codewords LBG (Linde Mk (Lee et ELBG(Pata et al.,1980) al., 1997) ne, 2001) AILBG 256 31.60 31.92 31.94 32.01 512 32.49 33.09 33.14 33.22 1024 33.37 34.42 34.59 34.71 Meaning: With the same number of codewords, proposed method can get highest PSNR, i.e., with the same compression ratio, proposed method can get best reconstruction quality.
11/39 Experiment 2 Number of codewords PSNR ELBG (Patane, 2001) AILBG 31.94 256 244 33.14 512 488 34.59 1024 988 Meaning: • With a predefined reconstruction quality, proposed method can find a good codebook with reasonable number of codewords.
12/39 Experiment 3: Original Images Boat Gray21
13/39 Results of experiment 3 PSNR Number of codewords (dB) Gray21 Lena Boat 28.0 9 22 54 30.0 12 76 199 33.0 15 454 1018 Meaning: 1. For different images, with the same PSNR, number of codewords will be different. 2. Proposed method can be used to set up an image database with same reconstruction quality (PSNR)
Topology Learning: Reflects topology of high-dimension data distribution
SOM (Kohonen, 1982): predetermined structure and size
CHL+NG (Martinetz, 1994): a priori decision about the network size
GNG (Fritzke, 1995): permanent increase in the number of nodes
GNG-U (Frutzke, 1998): destroy learned knowledge
LLCS (Hamker, 2001): supervised learning
15/39 Self-organizing incremental neural network (Shen & Hasegawa, 2005) 1. To process the on-line non-stationary data. 2. To do the unsupervised learning without any priori condition such as: • suitable number of nodes • a good initial codebook • how many classes there are 3. Report a suitable number of classes 4. Represent the topological structure of the input probability density. 5. Separate the classes with some low-density overlaps 6. Detect the main structure of clusters polluted by noises
16/39 The Proposed algorithm First Layer Second Layer Input Growing First Growing Second pattern Network Output Network Output Insert Delete Classify Node Node
17/39 Algorithms Insert new nodes Criterion: nodes with high errors serve as a criterion to insert a new node error-radius is used to judge if the insert is successful Delete nodes Criterion: remove nodes in low probability density regions Realize: delete nodes with no or only one direct topology neighbor Classify Criterion: all nodes linked with edges will be one cluster
18/39 First-layer Second-layer Input signals== Initialize multiple of Input signal Within-class Insertion Find winner Judge if insertion and second winner is successful Delete overlap and Y Between-class noise nodes Insertion Input signals== N N Connect winner multiple of LT and second winner Y Update weight of Y First-layer winner and neighbor N Output results
19/39 Experiment Environment I II III IV V VI VII A 1 0 1 0 0 0 0 B 0 1 0 1 0 0 0 C 0 0 1 0 0 1 0 D 0 0 0 1 1 0 0 E1 0 0 0 0 1 0 0 E2 0 0 0 0 0 1 0 Original Data Set E3 0 0 0 0 0 0 1
20/39 Experiment: Stationary environment Original Data Set GNG (Fritzke, 1995)
21/39 Experiment: Stationary environment Proposed method: first layer Proposed method: final results
33/39 Application: Handwritten character recognition Optical Recognition of Handwritten Digits database (optdigits) (UCI repository, 1996) 10 classes (handwritten digits) from a total of 43 people 30 contributed to the training set, 3823 samples Different 13 to the test set, 1797 samples Dimension of the samples is 64 Method: Train: A separate SOINN to describe each class of data Test: Classify an unknown data point according to whichever model gives the best match (nearest neighbor)
37/39 Journal papers (2003~2005) 1. Shen Furao & Osamu Hasegawa, “An adaptive incremental LBG for vector quantization,” Neural Networks, accepted. 2. Shen Furao & Osamu Hasegawa, “An incremental network for on- line unsupervised classification and topology learning,” Neural Networks, accepted. 3. Shen Furao & Osamu Hasegawa, Fractal image coding with simulated annealing search, Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.9, No.1, pp.80-88, 2005. 4. Shen Furao & Osamu Hasegawa, A fast no search fractal image coding method, Signal Processing: Image Communication, vol.19, pp.393-404, (2004) 5. Shen Furao & Osamu Hasegawa, A growing neural network for online unsupervised learning, Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.8, No.2, pp.121-129, (2004)
38/39 Refereed International Conference (2003~2005) 1. Shen Furao, Youki Kamiya & Osamu Hasegawa, “An incremental neural network for online supervised learning and topology representation,” 12th International Conference on Neural Information Processing (ICONIP 2005), Taipei, Taiwan, October 30 - November 2, 2005, accepted. 2. Shen Furao & Osamu Hasegawa, “An incremental k-means clustering algorithm with adaptive distance measure,” 12th International Conference on Neural Information Processing (ICONIP 2005), Taipei, Taiwan, October 30 - November 2, 2005, accepted. 3. Shen Furao & Osamu Hasegawa, “An on-line learning mechanism for unsupervised classification and topology representation,” IEEE Computer Society International Conference on Computer Vision and Pattern Recognition (CVPR 2005), San Diego, CA, USA, June 21-26, 2005. 4. Shen Furao & Osamu Hasegawa, “An incremental neural network for non-stationary unsupervised learning,” 11th International Conference on Neural Information Processing (ICONIP 2004), Calcutta, India, November 22-25, 2004. 5. Shen Furao & Osamu Hasegawa, “An effective fractal image coding method without search,” IEEE International Conference on Image Processing (ICIP 2004), Singapore, October 24-27, 2004. 6. Youki Kamiya, Shen Furao & Osamu Hasegawa, “Non-stop learning : a new scheme for continuous learning and recognition,” Joint 2nd SCIS and 5th ISIS, Keio University, Yokohama, Japan, September 21-24, 2004. 7. Osamu Hasegawa & Shen Furao, “A self-structurizing neural network for online incremental learning,” CD-ROM SICE Annual Conference in Sapporo, FAII-5-2, August 4-6, 2004. 8. Shen Furao & Osamu Hasegawa, “A self-organized growing network for on-line unsupervised learning,” 2004 International Joint Conference on Neural Networks (IJCNN 2004), Budapest, Hungary, CD-ROM ISBN 0-7803-8360-5, Vol.1, pp.11-16, 2004. 9. Shen Furao & Osamu Hasegawa, “A fast and less loss fractal image coding method using simulated annealing,” 7th Joint Conference on Information Science (JCIS 2003), Cary, North Carolina, USA, September 26-30, 2003.