Shun-ichi Amari, D.Eng.
- We are developing mathematical methods and tools for the purpose of establishing mathematical neuroscience.
Mathematical Neuroscience
Senior Team Leader
Mathematical theory, Statistical neurodynamics, Information geometry
Amari Research Laboratory aims at elucidation of the principles of information processing in the brain mathematically, thus establishing foundations of mathematical neuroscience. Information is represented in the brain by spatio-temporal patterns of excitation in ensembles of neurons, and processed by dynamics of parallel interactions of neurons. It is a learning system which modifies its structures, equipped with memory and self-organizing ability. Through mathematical analysis of various parts and functions of the brain, we establish principles of the brain mathematically, and also we search for the performances of brain-style information processing systems. We further develop mathematical tools and methods such as information geometry. We are currently studying information geometry of learning machines and analysis of neuronal spike sequences.
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1
Tatsuno M, Fellous JM, and Amari S: "Information-geometric measures as robust estimators of connection strengths and external inputs.", Neural Comput, 21(8), 2309-35 (2009)
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2
Amari S: "Measure of correlation orthogonal to change in firing rate.", Neural Comput, 21(4), 960-72 (2009)
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3
Yukawa M: "Krylov-proportionate adaptive filtering techniques not limited to sparse systems", IEEE Transactions on Signal Processing, 57(3), 927-943 (2009)
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4
Amari S: "α-divergence is unique, belonging to both f-divergence and bregman divergence classes", IEEE Transactions on Information Theory, 55(11), 4925-4931 (2009)
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5
Cousseau F, Ozeki T, and Amari S: "Dynamics of learning in multilayer perceptrons near singularities.", IEEE Trans Neural Netw, 19(8), 1313-28 (2008)
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6
Masuda N, and Amari S: "A computational study of synaptic mechanisms of partial memory transfer in cerebellar vestibulo-ocular-reflex learning.", J Comput Neurosci, 24(2), 137-56 (2008)
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7
Wei H, Zhang J, Cousseau F, Ozeki T, and Amari S: "Dynamics of learning near singularities in layered networks.", Neural Comput, 20(3), 813-43 (2008)
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8
Amari S: "Integration of stochastic models by minimizing alpha-divergence.", Neural Comput, 19(10), 2780-96 (2007)
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9
Miura K, Okada M, and Amari S: "Estimating spiking irregularities under changing environments.", Neural Comput, 18(10), 2359-86 (2006)
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10
Toyoizumi T, Aihara K, and Amari S: "Fisher information for spike-based population decoding.", Phys Rev Lett, 97(9), 98102 (2006)
