The MNIST database (Mixed National Institute of Standards and Technology database) is a large database of handwritten digits that is commonly used for training various image processing systems. The database is also widely used for training and testing in the field of machine learning. It was created by "re-mixing" the samples from NIST's original datasets. The creators felt that since NIST's training dataset was taken from American Census Bureau employees, while the testing dataset was taken from American high school students, NIST's complete dataset was too hard. Furthermore, the black and white images from NIST were normalized to fit into a 20x20 pixel bounding box and anti-aliased, which introduced grayscale levels.
The database contains 60,000 training images and 10,000 testing images. Half of the training set and half of the test set were taken from NIST's training dataset, while the other half of the training set and the other half of the test set were taken from NIST's testing dataset. There have been a number of scientific papers on attempts to achieve the lowest error rate; one paper, using a hierarchical system of convolutional neural networks, manages to get an error rate on the MNIST database of 0.23 percent. The original creators of the database keep a list of some of the methods tested on it. In their original paper, they use a support vector machine to get an error rate of 0.8 percent. Recently, an error rate of 0.27% was reported by researchers using a similar system of neural networks.
Some researchers have achieved "near-human performance" on the MNIST database, using a committee of neural networks; in the same paper, the authors achieve performance double that of humans on other recognition tasks. The highest error rate listed on the original website of the database is 12 percent, which is achieved with no preprocessing using a SVM with a 1-layer neural network.
A best-case error rate of 0.42 percent was achieved on the database by researchers using a new classifier called the LIRA, which is a neural classifier with three neuron layers based on Rosenblatt's perceptron principles.
Some researchers have tested artificial intelligence systems using the database put under random distortions. The systems in these cases are usually neural networks and the distortions used tend to be either affine distortions or elastic distortions. Sometimes, these systems can be very successful; one such system achieved an error rate on the database of 0.39 percent.
This is a table of some of the artificial intelligence methods used on the database and their error rates, by type of classifier:
|Type||Classifier||Preprocessing||Error rate (%)|
|Linear classifier||Pairwise linear classifier||Deskewing||7.6|
|K-Nearest Neighbors||K-NN with non-linear deformation (P2DHMDM)||Shiftable edges||0.52|
|Boosted Stumps||Product of stumps on Haar features||Haar features||0.87|
|Non-Linear Classifier||40 PCA + quadratic classifier||None||3.3|
|Support vector machine||Virtual SVM, deg-9 poly, 2-pixel jittered||Deskewing||0.56|
|Neural network||6-layer NN 784-2500-2000-1500-1000-500-10 (on GPU), with elastic distortions||None||0.35|
|Convolutional neural network||Committee of 35 conv. net, 1-20-P-40-P-150-10, with elastic distortions||Width normalizations||0.23|
- "Support vector machines speed pattern recognition - Vision Systems Design". Vision Systems Design. Retrieved 17 August 2013.
- Gangaputra, Sachin. "Handwritten digit database". Retrieved 17 August 2013.
- Qiao, Yu (2007). "THE MNIST DATABASE of handwritten digits". Retrieved 18 August 2013.
- Platt, John C. (1999). "Using analytic QP and sparseness to speed training of support vector machines". Advances in neural information processing systems: 557–563. Retrieved 18 August 2013.
- LeCun, Yann; Corinna Cortes, Christopher J.C. Burges. "MNIST handwritten digit database, Yann LeCun, Corinna Cortes and Chris Burges". Retrieved 17 August 2013.
- Kussul, Ernst; Tatiana Baidyk (2004). "Improved method of handwritten digit recognition tested on MNIST database". Image and Vision Computing 22 (12): 971–981. doi:10.1016/j.imavis.2004.03.008.
- Zhang, Bin; Sargur N. Srihari (2004). "Fast k -Nearest Neighbor Classification Using Cluster-Based Trees". IEEE Transactions on Pattern Analysis and Machine Intelligence 26 (4): 525–528. doi:10.1109/TPAMI.2004.1265868. PMID 15382657. Retrieved 18 August 2013.
- Cires¸an, Dan; Ueli Meier, Jürgen Schmidhuber (2012). "Multi-column deep neural networks for image classification". 2012 IEEE Conference on Computer Vision and Pattern Recognition: 3642–3649. arXiv:1202.2745. doi:10.1109/CVPR.2012.6248110. ISBN 978-1-4673-1228-8.
- LeCun, Yann; Léon Bottou, Yoshua Bengio, Patrick Haffner (1998). "Gradient-Based Learning Applied to Document Recognition". Proceedings of the IEEE 86 86 (11): 2278–2324. doi:10.1109/5.726791. Retrieved 18 August 2013.
- Ciresan, Dan Claudiu; Ueli Meier, Luca Maria Gambardella, Jürgen Schmidhuber (2011). "Convolutional neural network committees for handwritten character classification". 2011 International Conference on Document Analysis and Recognition (ICDAR): 1135 – 1139. doi:10.1109/ICDAR.2011.229. Retrieved 20 September 2013.
- Kussul, Ernst; Tatiana Baidyk (2004). "Improved method of handwritten digit recognition tested on MNIST database". Image and Vision Computing 22: 971 – 981. doi:10.1016/j.imavis.2004.03.008. Retrieved 20 September 2013.
- Ranzato, Marc’Aurelio; Christopher Poultney, Sumit Chopra, and Yann LeCun (2006). "Efficient Learning of Sparse Representations with an Energy-Based Model". Advances in Neural Information Processing Systems 19: 1137 – 1144. Retrieved 20 September 2013.
- Keysers, Daniel; Thomas Deselaers, Christian Gollan, Hermann Ney (August 2007). "Deformation models for image recognition". EEE Transactions on Pattern Analysis and Machine Intelligence 29 (8): 1422–1435. Retrieved 27 August 2013.
- Kégl, Balázs; Róbert Busa-Fekete (2009). "Boosting products of base classifiers". Proceedings of the 26th Annual International Conference on Machine Learning: 497–504. Retrieved 27 August 2013.
- DeCoste and Scholkopf, MLJ 2002
- Ciresan, Claudiu Dan; Dan, Ueli Meier, Luca Maria Gambardella, and Juergen Schmidhuber (December 2010). "Deep Big Simple Neural Nets Excel on Handwritten Digit Recognition". Neural Computation 22 (12). doi:10.1162/NECO_a_00052. Retrieved 27 August 2013.
- Ciresan, Dan; Meier, Ueli; Schmidhuber, Jürgen (June 2012). "Multi-column deep neural networks for image classification". 2012 IEEE Conference on Computer Vision and Pattern Recognition (New York, NY: Institute of Electrical and Electronics Engineers (IEEE)): 3642–3649. arXiv:1202.2745v1. doi:10.1109/CVPR.2012.6248110. ISBN 9781467312264. OCLC 812295155. Retrieved 2013-12-09.
- http://yann.lecun.com/exdb/mnist/ - The home of the database