On the Cramér-Rao bound applicability and the role of Fisher
information in computational neuroscience

J 2015

On the Cramér-Rao bound applicability and the role of Fisher information in computational neuroscience

PILARSKI, Stevan a Ondřej POKORA

Základní údaje

Originální název

On the Cramér-Rao bound applicability and the role of Fisher information in computational neuroscience

Autoři

PILARSKI, Stevan a Ondřej POKORA

Vydání

BioSystems, ELSEVIER SCI LTD, 2015, 0303-2647

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Velká Británie a Severní Irsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.495

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/15:00080932

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Fisher information; Neuronal coding; Cramér-Rao admissibility

Štítky

AKR, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 7. 4. 2016 15:04, Ing. Andrea Mikešková

Anotace

V originále

Neuronal systems exhibit impressive capabilities in decision making and action coordination by employing the encoded information about both external and internal environments. Despite the tremendous effort of neuroscientists, the exact nature of the neuronal code remains elusive. Various experimental and theoretical techniques have been used to resolve the question in recent decades, with methods of signal estimation and detection theory playing an important part. In this paper we review the particular approach which relies on the concepts of Fisher information and Cramér-Rao bound. These concepts essentially investigate the neuronal coding problem by addressing the theoretical limits on the decoding precision, be it in single neurons or in their populations. Despite the success of this approach in many instances, the underlying mathematical theory is not free of certain restrictive assumptionswhichmight complicate the inference in some cases of interest. We recapitulate the assumptions and examine the practical extent of their validity.

Návaznosti

GA15-06991S, projekt VaV

Název: Analýza funkcionálních dat a související témata

Investor: Grantová agentura ČR, Analýza funkcionálních dat a související témata

Citovat

PILARSKI, Stevan a Ondřej POKORA. On the Cramér-Rao bound applicability and the role of Fisher information in computational neuroscience. BioSystems. ELSEVIER SCI LTD, 2015, roč. 136, october, s. 11-22. ISSN 0303-2647. Dostupné z: https://doi.org/10.1016/j.biosystems.2015.07.009.

@article{1306946,
   author = {Pilarski, Stevan and Pokora, Ondřej},
   article_number = {october},
   doi = {https://doi.org/10.1016/j.biosystems.2015.07.009},
   keywords = {Fisher information; Neuronal coding; Cramér-Rao admissibility},
   language = {eng},
   issn = {0303-2647},
   journal = {BioSystems},
   title = {On the Cramér-Rao bound applicability and the role of Fisher information in computational neuroscience},
   url = {http://dx.doi.org/10.1016/j.biosystems.2015.07.009},
   volume = {136},
   year = {2015}
}

TY  - JOUR
ID  - 1306946
AU  - Pilarski, Stevan - Pokora, Ondřej
PY  - 2015
TI  - On the Cramér-Rao bound applicability and the role of Fisher information in computational neuroscience
JF  - BioSystems
VL  - 136
IS  - october
SP  - 11-22
EP  - 11-22
PB  - ELSEVIER SCI LTD
SN  - 03032647
KW  - Fisher information
KW  - Neuronal coding
KW  - Cramér-Rao admissibility
UR  - http://dx.doi.org/10.1016/j.biosystems.2015.07.009
N2  - Neuronal systems exhibit impressive capabilities in decision making and action coordination by employing the encoded information about both external and internal environments. Despite the tremendous effort of neuroscientists, the exact nature of the neuronal code remains elusive. Various experimental and theoretical techniques have been used to resolve the question in recent decades, with methods of signal estimation and detection theory playing an important part. In this paper we review the particular approach which relies on the concepts of Fisher information and Cramér-Rao bound. These concepts essentially investigate the neuronal coding problem by addressing the theoretical limits on the decoding precision, be it in single neurons or in their populations. Despite the success of this approach in many instances, the underlying mathematical theory is not free of certain restrictive assumptionswhichmight complicate the inference in some cases of interest. We recapitulate the assumptions and examine the practical extent of their validity.
ER  -

PILARSKI, Stevan a Ondřej POKORA. On the Cramér-Rao bound applicability and the role of Fisher information in computational neuroscience. \textit{BioSystems}. ELSEVIER SCI LTD, 2015, roč.~136, october, s.~11-22. ISSN~0303-2647. Dostupné z: https://doi.org/10.1016/j.biosystems.2015.07.009.

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