Science from Fisher Information

By B. Frieden. 2004

454 citations recorded by the source corpus.

Subfields: Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fb963c708f75e5e4d9167ec8d9bd2c27825b5eb3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Statistical and Nonlinear Physics

1. Sosuke Ito
2. A. del Campo
3. Eyke Hüllermeier
4. Joseph M Hellerstein
5. Alessio Figalli
6. Lu Li
7. Zhongheng He
8. Dianhai Yu

Citations in the corpus

• ON IDENTIFIABILITY OF NONLINEAR ODE MODELS AND APPLICATIONS IN VIRAL DYNAMICS (2011, unknown): “It can be proved that the covariance matrix C is equal to the inverse of the FIM according to the Cramèr–Rao theorem [89], that is, (4.5) C = F IM −1 .”
• Stochastic Time Evolution, Information Geometry, and the Cramér-Rao Bound (2018, background): “[3] B.”
• The power of quantum neural networks (2020, background): “1 The Fisher information The Fisher information presents itself as a foundational quantity in a variety of fields, from physics to computational neuroscience [41].”
• How to Evaluate the Next System: Automatic Dialogue Evaluation from the Perspective of Continual Learning (2019, methodology): “To measure the contribution of parameters, EWC exploits the Fisher Information Matrix (Frieden, 2004), which is calculated as:”
• Aleatoric and epistemic uncertainty in machine learning: an introduction to concepts and methods (2019, background): “For example, the Fisher information plays an important role in the Cramér-Rao bound and provides a lower bound to the variance of any unbiased estimator of θ (Frieden, 2004).”
• The role of scaling laws in upscaling (2009, unknown): “[33,34]).”
• Quantitative Data Cleaning for Large Databases (2008, background): “In addition, there are a variety of formal statistical tests for normality [Chakravarti and Roy, 1967, C.E. and W., 1949, Frieden, 2004, Shapiro and Wilk, 1965, D’Agostino and Pearson, 1974].”
• Time–information uncertainty relations in thermodynamics (2020, background): “The Fisher information [39] is also a measure of fluctuations.”