Computational Neuroscience: Mathematical and Statistical Perspectives

Posted: 5 Apr 2018

See all articles by Robert E. Kass

Robert E. Kass

Carnegie Mellon University

Shun-Ichi Amari

RIKEN Center for Brain Science

Kensuke Arai

RIKEN Center for Brain Science

Emery Brown

Massachusetts Institute of Technology (MIT) - The Picower Institute for Learning and Memory

Casey O. Diekman

New Jersey Institute of Technology

Markus Diesmann

RWTH Aachen University

Brent Doiron

University of Pittsburgh

Uri Eden

Independent

Adrienne Fairhall

University of Washington

Grant M. Fiddyment

Boston University

Tomoki Fukai

Independent

Sonja Grün

Max Planck Society for the Advancement of the Sciences - Max Planck Institute for Brain Research

Matthew T. Harrison

Brown University - Division of Applied Mathematics

Moritz Helias

Forschungszentrum Jülich GmbH

Hiroyuki Nakahara

RIKEN Center for Brain Science

Jun-nosuke Teramae

The University of Osaka

Peter J. Thomas

Case Western Reserve University

Mark Reimers

Michigan State University - Department of Physiology

Jordan Rodu

University of Pennsylvania - The Wharton School

Horacio G. Rotstein

New Jersey Institute of Technology

Eric Shea-Brown

University of Washington

Hideaki Shimazaki

RIKEN Center for Brain Science - Laboratory for Neural Computation and Adaptation

Shigeru Shinomoto

Kyoto University

Byron M. Yu

Carnegie Mellon University

Mark Kramer

Boston University

Date Written: March 2018

Abstract

Mathematical and statistical models have played important roles in neuroscience, especially by describing the electrical activity of neurons recorded individually, or collectively across large networks. As the field moves forward rapidly, new challenges are emerging. For maximal effectiveness, those working to advance computational neuroscience will need to appreciate and exploit the complementary strengths of mechanistic theory and the statistical paradigm.

Suggested Citation

Kass, Robert E. and Amari, Shun-Ichi and Arai, Kensuke and Brown, Emery and Diekman, Casey O. and Diesmann, Markus and Doiron, Brent and Eden, Uri and Fairhall, Adrienne and Fiddyment, Grant M. and Fukai, Tomoki and Grün, Sonja and Harrison, Matthew T. and Helias, Moritz and Nakahara, Hiroyuki and Teramae, Jun-nosuke and Thomas, Peter J. and Reimers, Mark and Rodu, Jordan and Rotstein, Horacio G. and Shea-Brown, Eric and Shimazaki, Hideaki and Shinomoto, Shigeru and Yu, Byron M. and Kramer, Mark, Computational Neuroscience: Mathematical and Statistical Perspectives (March 2018). Annual Review of Statistics and Its Application, Vol. 5, Issue 1, pp. 183-214, 2018, Available at SSRN: https://ssrn.com/abstract=3157010 or http://dx.doi.org/10.1146/annurev-statistics-041715-033733

Robert E. Kass (Contact Author)

Carnegie Mellon University ( email )

Pittsburgh, PA 15213-3890
United States

Shun-Ichi Amari

RIKEN Center for Brain Science

2-1 Hirosawa
Wako, Saitama 351-0198
Japan

Kensuke Arai

RIKEN Center for Brain Science ( email )

2-1 Hirosawa
Wako, Saitama 351-0198
Japan

Emery Brown

Massachusetts Institute of Technology (MIT) - The Picower Institute for Learning and Memory

United States

Casey O. Diekman

New Jersey Institute of Technology ( email )

University Heights
Newark, NJ 07102
United States

Markus Diesmann

RWTH Aachen University ( email )

Templergraben 55
52056 Aachen, 52056
Germany

Brent Doiron

University of Pittsburgh ( email )

135 N Bellefield Ave
Pittsburgh, PA 15260
United States

Uri Eden

Independent ( email )

United States

Adrienne Fairhall

University of Washington ( email )

Seattle, WA 98195
United States

Grant M. Fiddyment

Boston University

595 Commonwealth Avenue
Boston, MA 02215
United States

Tomoki Fukai

Independent

United States

Sonja Grün

Max Planck Society for the Advancement of the Sciences - Max Planck Institute for Brain Research ( email )

Deutschordenstraße 46
Frankfurt/Main, 60528
Germany

Matthew T. Harrison

Brown University - Division of Applied Mathematics ( email )

Box 1860
Providence, RI 02912
United States

Moritz Helias

Forschungszentrum Jülich GmbH ( email )

Jülich, 52428
Germany

Hiroyuki Nakahara

RIKEN Center for Brain Science ( email )

2-1 Hirosawa
Wako, Saitama 351-0198
Japan

Jun-Nosuke Teramae

The University of Osaka ( email )

1-1 Yamadaoka
Suita
Osaka, 565-0871
Japan

Peter J. Thomas

Case Western Reserve University ( email )

10900 Euclid Ave.
Cleveland, OH 44106
United States

Mark Reimers

Michigan State University - Department of Physiology ( email )

Jordan Rodu

University of Pennsylvania - The Wharton School ( email )

3641 Locust Walk
Philadelphia, PA 19104-6365
United States

Horacio G. Rotstein

New Jersey Institute of Technology ( email )

University Heights
Newark, NJ 07102
United States

Eric Shea-Brown

University of Washington ( email )

Seattle, WA 98195
United States

Hideaki Shimazaki

RIKEN Center for Brain Science - Laboratory for Neural Computation and Adaptation

Saitama
Japan

Shigeru Shinomoto

Kyoto University ( email )

Yoshida-Honmachi
Sakyo-ku
Kyoto, 606-8501
Japan

Byron M. Yu

Carnegie Mellon University ( email )

Pittsburgh, PA 15213-3890
United States

Mark Kramer

Boston University ( email )

595 Commonwealth Avenue
Boston, MA 02215
United States

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