Towards an universal classification of scale invariant processes

被引：0

作者：

B. Dubrulle

F.-M. Bréon

F. Graner

A. Pocheau

机构：

[1] CNRS (URA 2052),

[2] CEA/DSM/DAPNIA/Service d'Astrophysique,undefined

[3] CE Saclay,undefined

[4] 91191 Gif-sur-Yvette,undefined

[5] France,undefined

[6] CNRS (URA 285),undefined

[7] Observatoire Midi-Pyrénées,undefined

[8] 14 avenue Belin,undefined

[9] 31400 Toulouse,undefined

[10] France,undefined

[11] CEA/DSM/LMCE,undefined

[12] CE Saclay,undefined

[13] 91191 Gif-sur-Yvette,undefined

[14] France,undefined

[15] CNRS (UMR 5588),undefined

[16] Laboratoire de Spectrométrie Physique,undefined

[17] Université Grenoble I,undefined

[18] BP 87,undefined

[19] 38402 Saint-Martin-d'Hères,undefined

[20] France,undefined

[21] IRPHE (UMR 6594 CNRS),undefined

[22] Universités Aix-Marseille I & II,undefined

[23] Centre de Saint-Jérôme,undefined

[24] S.252,undefined

[25] 13397 Marseille,undefined

[26] France,undefined

来源：

The European Physical Journal B - Condensed Matter and Complex Systems | 1998年 / 4卷

关键词：

PACS. 11.30.-j Symmetry and conservation laws;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider fields which take random values over several decades. Starting from physical examples, we postulate that scale is not an absolute quantity. We then establish the equivalence between two existing approaches based on scale symmetry arguments as general as possible. This yields a classification of log-infinitely divisible laws, possibly universal. The physical significance of the parameters entering in the classification is discussed.

引用

下载

页码：89 / 94

页数：5

共 50 条

[21] Towards Robust Classification Model by Counterfactual and Invariant Data Generation
Chang, Chun-Hao
Adam, George Alexandru
Goldenberg, Anna
2021 IEEE/CVF CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, CVPR 2021, 2021, : 15207 - 15216
[22] A CLASSIFICATION OF DIFFUSION-PROCESSES WITH BOUNDARIES BY THEIR INVARIANT-MEASURES
PINSKY, R
ANNALS OF PROBABILITY, 1985, 13 (03): : 693 - 697
[23] Towards a manifestly gauge invariant and universal calculus for Yang-Mills theory
Arnone, S
Gatti, A
Morris, TR
ACTA PHYSICA SLOVACA, 2002, 52 (06) : 621 - 634
[24] Coarsening of three-dimensional grains in crystals, or bubbles in dry foams, tends towards a universal, statistically scale-invariant regime
Thomas, Gilberto L.
de Almeida, R. M. C.
Graner, F.
PHYSICAL REVIEW E, 2006, 74 (02):
[25] A Scale-Invariant Framework For Image Classification With Deep Learning
Jiang, Yalong
Chi, Zheru
2017 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS (SMC), 2017, : 1019 - 1024
[26] Banana Cultivar Classification using Scale Invariant Shape Analysis
Dittakan, Kwankamon
Theera-Ampornpunt, Nawanol
Witthayarat, Waraphon
Hinnoy, Sararat
Klaiwan, Supawit
Pratheep, Thunyatorn
2017 2ND INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY (INCIT), 2017, : 171 - 176
[27] Scaled CCR Histogram for Scale-Invariant Texture Classification
Alonso-Cuevas, Juan L.
Sanchez-Yanez, Raul E.
Kurmyshev, Evguenii V.
PATTERN RECOGNITION, 2018, 10880 : 277 - 286
[28] Image classification using shift and scale invariant wavelet features
Pun, Chi-Man
WMSCI 2005: 9th World Multi-Conference on Systemics, Cybernetics and Informatics, Vol 5, 2005, : 279 - 284
[29] Scale and Rotation Invariant Gabor Texture Descriptor for Texture Classification
Li, Zhi
Liu, Guizhong
Qian, Xueming
Wang, Chen
VISUAL COMMUNICATIONS AND IMAGE PROCESSING 2010, 2010, 7744
[30] FINGERPRINT CLASSIFICATION USING SCALE-INVARIANT FEATURE TRANSFORM
Sobek, Jakub
Cetnarowicz, Damian
Dabrowski, Adam
SPA 2011: SIGNAL PROCESSING ALGORITHMS, ARCHITECTURES, ARRANGEMENTS, AND APPLICATIONS CONFERENCE PROCEEDINGS, 2011, : 100 - 105

← 1 2 3 4 5 →