Statistical Baselines from Random Matrix Theory

被引：0

作者：

Voultsidou, Marotesa ^{[1
]}

Herrmann, J. Michael ^{[2
]}

机构：

[1] Univ Crete, Dept Phys, POB 2208, Iraklion, Crete, Greece

[2] Univ Edinburgh, Inst Percept Action & Behaviour Informat Forum, Edinburgh EH8 9YL, Midlothian, Scotland

来源：

INTELLIGENT DATA ENGINEERING AND AUTOMATED LEARNING - IDEAL 2008 | 2008年 / 5326卷

关键词：

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Quantitative descriptors of intrinsic properties of imaging data can be obtained from the theory of random matrices (RMT). Based on theoretical results for standardized data, RMT offers a systematic approach to surrogate data which allows us to evaluate the significance of deviations from the random baseline. Considering exemplary fMRI data sets recorded at a visuo-motor task and rest, we show their distinguishability by RMT-based quantities and demonstrate that the degree of sparseness and of localization can be evaluated in a strict way, provided that the data are sufficiently well described by the pairwise cross-correlations.

引用

页码：362 / +

页数：2

共 50 条

[21] Bifurcations and random matrix theory
Pollner, P
Eckhardt, B
[J]. EUROPHYSICS LETTERS, 2001, 53 (06): : 703 - 708
[22] Combinatorics and random matrix theory
Tao, Terence
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 57 (01) : 161 - 169
[23] Quasiclassical random matrix theory
Prange, RE
[J]. PHYSICAL REVIEW LETTERS, 1996, 77 (12) : 2447 - 2450
[24] Developments in random matrix theory
Forrester, PJ
Snaith, NC
Verbaarschot, JJM
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (12): : R1 - R10
[25] Dualities in random matrix theory
Forrester, Peter J.
[J]. arXiv,
[26] QCD and random matrix theory
Jackson, AD
[J]. NUCLEAR PHYSICS A, 1998, 638 (1-2) : 329C - 338C
[27] Octonions in random matrix theory
Forrester, Peter J.
[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2200):
[28] A random matrix theory of decoherence
Gorin, T.
Pineda, C.
Kohler, H.
Seligman, T. H.
[J]. NEW JOURNAL OF PHYSICS, 2008, 10
[29] Superstatistics in random matrix theory
Abul-Magd, AY
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2006, 361 (01) : 41 - 54
[30] LESSONS FROM RANDOM MATRIX THEORY FOR QCD AT FINITE DENSITY
Splittorff, K.
Verbaarschot, J. J. M.
[J]. PROCEEDINGS OF THE CONFERENCE ON CONTINUOUS ADVANCES IN QCD 2008, 2008, : 160 - +

← 1 2 3 4 5 →