Sökning: WFRF:(Irbäck Anders) >
Fitting a function ...
Fitting a function to time-dependent ensemble averaged data
-
- Fogelmark, Karl (författare)
- Lund University,Lunds universitet,Beräkningsbiologi och biologisk fysik - Har omorganiserats,Institutionen för astronomi och teoretisk fysik - Har omorganiserats,Naturvetenskapliga fakulteten,Computational Biology and Biological Physics - Has been reorganised,Department of Astronomy and Theoretical Physics - Has been reorganised,Faculty of Science
-
- Lomholt, Michael A. (författare)
- University of Southern Denmark
-
- Irbäck, Anders (författare)
- Lund University,Lunds universitet,Beräkningsbiologi och biologisk fysik - Har omorganiserats,Institutionen för astronomi och teoretisk fysik - Har omorganiserats,Naturvetenskapliga fakulteten,Beräkningsvetenskap för hälsa och miljö,Forskargrupper vid Lunds universitet,Computational Biology and Biological Physics - Has been reorganised,Department of Astronomy and Theoretical Physics - Has been reorganised,Faculty of Science,Computational Science for Health and Environment,Lund University Research Groups
-
visa fler...
-
- Ambjörnsson, Tobias (författare)
- Lund University,Lunds universitet,Beräkningsbiologi och biologisk fysik - Har omorganiserats,Institutionen för astronomi och teoretisk fysik - Har omorganiserats,Naturvetenskapliga fakulteten,Computational Biology and Biological Physics - Has been reorganised,Department of Astronomy and Theoretical Physics - Has been reorganised,Faculty of Science
-
visa färre...
-
(creator_code:org_t)
- 2018-05-03
- 2018
- Engelska.
-
Ingår i: Scientific Reports. - : Springer Science and Business Media LLC. - 2045-2322. ; 8:1
- Relaterad länk:
-
http://dx.doi.org/10... (free)
-
visa fler...
-
https://www.nature.c...
-
https://lup.lub.lu.s...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- Time-dependent ensemble averages, i.e., trajectory-based averages of some observable, are of importance in many fields of science. A crucial objective when interpreting such data is to fit these averages (for instance, squared displacements) with a function and extract parameters (such as diffusion constants). A commonly overlooked challenge in such function fitting procedures is that fluctuations around mean values, by construction, exhibit temporal correlations. We show that the only available general purpose function fitting methods, correlated chi-square method and the weighted least squares method (which neglects correlation), fail at either robust parameter estimation or accurate error estimation. We remedy this by deriving a new closed-form error estimation formula for weighted least square fitting. The new formula uses the full covariance matrix, i.e., rigorously includes temporal correlations, but is free of the robustness issues, inherent to the correlated chi-square method. We demonstrate its accuracy in four examples of importance in many fields: Brownian motion, damped harmonic oscillation, fractional Brownian motion and continuous time random walks. We also successfully apply our method, weighted least squares including correlation in error estimation (WLS-ICE), to particle tracking data. The WLS-ICE method is applicable to arbitrary fit functions, and we provide a publically available WLS-ICE software.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Biologi -- Biofysik (hsv//swe)
- NATURAL SCIENCES -- Biological Sciences -- Biophysics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
Publikations- och innehållstyp
- art (ämneskategori)
- ref (ämneskategori)
Hitta via bibliotek
Till lärosätets databas