Your browser does not allow JavaScript!
Javascript is necessary for the proper functioning of this website. Please enable JavaScript or use a modern browser.
Open Science Slovenia
DiKUL
slv

eng
Search
Browse
New in RUL
About RUL
In numbers
Help
Sign in
Extraction of physical laws from joint experimental data
Grabec, Igor
(
Author
)
URL  Presentation file, Visit
http://dx.doi.org/10.1140/epjb/e2005003910
Abstract
The extraction of a physical law y=yo(x) from joint experimental data about x and y is treated. The joint, the marginal and the conditional probability density functions (PDF) are expressed by given data over an estimator whose kernel is the instrument scattering function. As an optimal estimator of yo(x)the conditional average is proposed. The analysis of its properties is based upon a new definition of prediction quality. The joint experimental information and the redundancy of joint measurements are expressed by the relative entropy. With the number of experiments the redundancy on average increases, while the experimental information converges to a certain limit value. The difference between this limit value and the experimental information at a finite number of data represents the discrepancy between the experimentally determined and the true properties of the phenomenon. The sum of the discrepancy measure and the redundancy is utilized as a cost function. By its minimum a reasonable number of data for the extraction of the law yo(x)is specified. The mutual information is defined by the marginal and the conditional PDFs of the variables. The ratio between mutual information and marginal information is used to indicate which variable is the independent one. The properties of the introduced statistics are demonstrated on deterministically and randomly related variables.
Language:
English
Keywords:
information science
,
communication theory
,
measurement
,
error theory
,
probability theory
,
stochastic processes
,
statistics
Work type:
Not categorized (r6)
Tipology:
1.01  Original Scientific Article
Organization:
FS  Faculty of Mechanical Engineering
Year:
2005
Number of pages:
str. 279289
Numbering:
Letn. 48, št. 2
UDC:
530.12/.16+53.08
ISSN on article:
14346028
COBISS.SIID:
8762651
Views:
319
Downloads:
103
Metadata:
Average score:
(0 votes)
Your score:
Voting is allowed only to
logged in
users.
Cite this work
Plain text
BibTeX
EndNote XML
EndNote/Refer
RIS
ABNT
ACM Ref
AMA
APA
Chicago
Harvard
IEEE
ISO 690
MLA
Vancouver
:
Share:
Record is a part of a journal
Title:
#The #European physical journal
Shortened title:
Eur. phys. j., B Cond. matter phys.
Publisher:
EDP Sciences, SpringerVerlag
ISSN:
14346028
COBISS.SIID:
13503271
Similar documents
Similar works from RUL:
Similar works from other Slovenian collections:
Comments
Leave comment
You have to
log in
to leave a comment.
Comments (0)
0  0 / 0
There are no comments!
Back