On 5/1/2012 11:27 AM, Vadim Axel wrote:
Hi experts,

I am talking about basic pattern classification (e.g. no feature
selection etc). SVM algorithm (with built-in regularization).

1. A small number of data points with large dimension (ROI size)  can
cause overfitting, which is  high prediction on training set and bad
test set. Now, suppose, I have a beyond chance classification on test
set, which was validated using within subject permutation test and
across subjects t-test vs. chance. Can my results be still unreliable?
If so, how can I test it?
Errors are always possible, from mislabelings during preprocessing to logic errors in coding. Combining methods and levels of analysis (e.g. most individual subjects significant in permutation tests and group results significant with t-tests) can help. You can check sensitivity as well (e.g. do the results change a lot with very small differences to thresholds or parameters? Does deleting one subject change things drastically?). There's no magic, one-size-fits-all solution.


2. Practically, is 10 independent data points (averaged block value or
beta values) with the ROI of 100 voxels is safe enough?
I don't know about "safe", but this is in the range of reasonable things to try. I currently have a dataset that works well with a few hundred voxels and only 6 examples, and others that have more examples and fewer voxels.


3. Do you know about any imaging papers which tested / discussed this issue?
Mukherjee, S., Golland, P., Panchenko, D.: Permutation Tests for Classification. AI Memo 2003-019. Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory (2003)

Klement, S., Madany Mamlouk, A., Martinetz, T., Kurková, V., Neruda, R., Koutník, J.: Reliability of Cross-Validation for SVMs in High-Dimensional, Low Sample Size Scenarios Artificial Neural Networks - ICANN 2008. Vol. 5163. Springer Berlin / Heidelberg (2008) 41-50


Jo Etzel


Thanks for ideas,
Vadim





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