% % 1. Title of Database: Pen-Based Recognition of Handwritten Digits % % 2. Source: % E. Alpaydin, F. Alimoglu % Department of Computer Engineering % Bogazici University, 80815 Istanbul Turkey % alpaydin@boun.edu.tr % July 1998 % % 3. Past Usage: % F. Alimoglu (1996) Combining Multiple Classifiers for Pen-Based % Handwritten Digit Recognition, % MSc Thesis, Institute of Graduate Studies in Science and % Engineering, Bogazici University. % http://www.cmpe.boun.edu.tr/~alimoglu/alimoglu.ps.gz % % F. Alimoglu, E. Alpaydin, "Methods of Combining Multiple Classifiers % Based on Different Representations for Pen-based Handwriting % Recognition," Proceedings of the Fifth Turkish Artificial % Intelligence and Artificial Neural Networks Symposium (TAINN 96), % June 1996, Istanbul, Turkey. % http://www.cmpe.boun.edu.tr/~alimoglu/tainn96.ps.gz % % % 4. Relevant Information: % % We create a digit database by collecting 250 samples from 44 writers. % The samples written by 30 writers are used for training, % cross-validation and writer dependent testing, and the digits % written by the other 14 are used for writer independent testing. This % database is also available in the UNIPEN format. % % We use a WACOM PL-100V pressure sensitive tablet with an integrated % LCD display and a cordless stylus. The input and display areas are % located in the same place. Attached to the serial port of an Intel % 486 based PC, it allows us to collect handwriting samples. The tablet % sends $x$ and $y$ tablet coordinates and pressure level values of the % pen at fixed time intervals (sampling rate) of 100 miliseconds. % % These writers are asked to write 250 digits in random order inside % boxes of 500 by 500 tablet pixel resolution. Subject are monitored % only during the first entry screens. Each screen contains five boxes % with the digits to be written displayed above. Subjects are told to % write only inside these boxes. If they make a mistake or are unhappy % with their writing, they are instructed to clear the content of a box % by using an on-screen button. The first ten digits are ignored % because most writers are not familiar with this type of input devices, % but subjects are not aware of this. % % In our study, we use only ($x, y$) coordinate information. The stylus % pressure level values are ignored. First we apply normalization to % make our representation invariant to translations and scale % distortions. The raw data that we capture from the tablet consist of % integer values between 0 and 500 (tablet input box resolution). The % new coordinates are such that the coordinate which has the maximum % range varies between 0 and 100. Usually $x$ stays in this range, since % most characters are taller than they are wide. % % In order to train and test our classifiers, we need to represent % digits as constant length feature vectors. A commonly used technique % leading to good results is resampling the ( x_t, y_t) points. % Temporal resampling (points regularly spaced in time) or spatial % resampling (points regularly spaced in arc length) can be used here. % Raw point data are already regularly spaced in time but the distance % between them is variable. Previous research showed that spatial % resampling to obtain a constant number of regularly spaced points % on the trajectory yields much better performance, because it provides % a better alignment between points. Our resampling algorithm uses % simple linear interpolation between pairs of points. The resampled % digits are represented as a sequence of T points ( x_t, y_t )_{t=1}^T, % regularly spaced in arc length, as opposed to the input sequence, % which is regularly spaced in time. % % So, the input vector size is 2*T, two times the number of points % resampled. We considered spatial resampling to T=8,12,16 points in our % experiments and found that T=8 gave the best trade-off between % accuracy and complexity. % % % 5. Number of Instances % pendigits.tra Training 7494 % pendigits.tes Testing 3498 % % The way we used the dataset was to use first half of training for % actual training, one-fourth for validation and one-fourth % for writer-dependent testing. The test set was used for % writer-independent testing and is the actual quality measure. % % 6. Number of Attributes % 16 input+1 class attribute % % 7. For Each Attribute: % All input attributes are integers in the range 0..100. % The last attribute is the class code 0..9 % % 8. Missing Attribute Values % None % % 9. Class Distribution % Class: No of examples in training set % 0: 780 % 1: 779 % 2: 780 % 3: 719 % 4: 780 % 5: 720 % 6: 720 % 7: 778 % 8: 719 % 9: 719 % Class: No of examples in testing set % 0: 363 % 1: 364 % 2: 364 % 3: 336 % 4: 364 % 5: 335 % 6: 336 % 7: 364 % 8: 336 % 9: 336 % % Accuracy on the testing set with k-nn % using Euclidean distance as the metric % % k = 1 : 97.74 % k = 2 : 97.37 % k = 3 : 97.80 % k = 4 : 97.66 % k = 5 : 97.60 % k = 6 : 97.57 % k = 7 : 97.54 % k = 8 : 97.54 % k = 9 : 97.46 % k = 10 : 97.48 % k = 11 : 97.34 @relation pendigits @attribute 'input1' numeric @attribute 'input2' numeric @attribute 'input3' numeric @attribute 'input4' numeric @attribute 'input5' numeric @attribute 'input6' numeric @attribute 'input7' numeric @attribute 'input8' numeric @attribute 'input9' numeric @attribute 'input10' numeric @attribute 'input11' numeric @attribute 'input12' numeric @attribute 'input13' numeric @attribute 'input14' numeric @attribute 'input15' numeric @attribute 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