James Mercer (mathematician)

James Mercer FRS[1] (15 January 1883 – 21 February 1932) was a mathematician, born in Bootle, close to Liverpool, England.[2]

He was educated at University of Manchester, and then University of Cambridge. He became a Fellow, saw active service at the Battle of Jutland in World War I and, after decades of ill health, died in London.

He proved Mercer's theorem, which states that positive-definite kernels can be expressed as a dot product in a high-dimensional space. This theorem is the basis of the kernel trick (applied by Aizerman), which allows linear algorithms to be easily converted into non-linear algorithms.

## References

1. ↑ Hobson, E. W. (1933). "James Mercer. 1883-1932". Obituary Notices of Fellows of the Royal Society 1 (2): 164–165. doi:10.1098/rsbm.1933.0016.
2. ↑ O'Connor, John J.; Robertson, Edmund F., "James Mercer", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Mercer.html .

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