Faculty Detail / 研究室詳細

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

Shun-ichi  Amari

Research Area

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, analysis of neuronal spike sequences, sparse signal analysis and statistical neurodynamics.

Selected Publications View All

  1. 1

    Mitsudo, T., Gannon, C., and Takeichi, and H.:: "An electroencephalographic investigation of the filled-duration illusion", Frontiers in Integrative Neuroscience, 5(84), 1-13 (2012)

  2. 2

    Lu Y, Sato Y, and Amari S: "Traveling bumps and their collisions in a two-dimensional neural field.", Neural Comput, 23(5), 1248-60 (2011)

  3. 3

    Magdoom KN, Subramanian D, Chakravarthy VS, Ravindran B, Amari S, and Meenakshisundaram N: "Modeling basal ganglia for understanding Parkinsonian reaching movements.", Neural Comput, 23(2), 477-516 (2011)

  4. 4

    Oizumi M, Okada M, and Amari S: "Information loss associated with imperfect observation and mismatched decoding.", Front Comput Neurosci, 5, 9 (2011)

  5. 5

    Amari S, and Ohara A: "Geometry of q-exponential family of probability distributions", Entropy, 13, 1170-1185 (2011)

  6. 6

    Ando H, Sinha S, Storni R, and Aihara K: "Synthetic gene networks as potential flexible parallel logic gates", Europhysics Letters, 93, 50001-p1--50001-p6 (2011)

  7. 7

    Cichocki A, Cruces S, and Amari S: "Generalized Alpha-Beta Divergences and Their Application to Rubust Nonnegative Matrix Factorization", Entropy, 13, 134-170 (2011)

  8. 8

    Nakajima, Y., and Takeichi, and H.:: "Human processing of short temporal intervals as revealed by an ERP waveform analysis", Frontiers in Integrative Neuroscience, 5(74), 1-10 (2011)

  9. 9

    Amari, and S.:: "On optimal data compression in multiterminal statistical inference", IEEE Transactions on Information Theory, 57, 5577-5587 (2011)

  10. 10

    Amari, S., Ozeki, T., Cousseau, F., and Wei, and H.:: "Dynamics of learning in hierarchical models –Singularity and milnor attractor, Wang R, Gu F (eds.)", Advances in Cognitive Neurodynamics (II), 3-9, Springer (2011)