Partial Information Decomposition is an extension of information theory, that aims to generalize the pairwise relations described by information theory to the interaction of multiple variables.[1]
PartialInformationDecomposition is an extension of information theory, that aims to generalize the pairwise relations described by information theory...
S2CID 210932609. Kolchinsky A (March 2022). "A Novel Approach to the PartialInformationDecomposition". Entropy. 24 (3): 403. arXiv:1908.08642. Bibcode:2022Entrp...
unique up to re-ordering. The Schmidt decomposition is essentially a restatement of the singular value decomposition in a different context. Fix orthonormal...
In materials science, a partial dislocation is a decomposed form of dislocation that occurs within a crystalline material. An extended dislocation is...
linear algebra, the Cholesky decomposition or Cholesky factorization (pronounced /ʃəˈlɛski/ shə-LES-kee) is a decomposition of a Hermitian, positive-definite...
m\times n} matrix. It is related to the polar decomposition. Specifically, the singular value decomposition of an m × n {\displaystyle m\times n} complex...
Synergistic Effects of Intersecting Social Identities with PartialInformationDecomposition. Entropy, 24(10), Article 10. https://doi.org/10.3390/e24101387...
Similar to the entropy or mutual information, the Fisher information also possesses a chain rule decomposition. In particular, if X and Y are jointly...
are independent, which makes domain decomposition methods suitable for parallel computing. Domain decomposition methods are typically used as preconditioners...
convex decomposition. The first term, in the right hand side of the above inequality, can be considered as the average quantum Fisher information of the...
Mutual information Total correlation Dual total correlation PartialInformationDecomposition Ting, Hu Kuo (January 1962). "On the Amount of Information"....
partial trace is an operator-valued function. The partial trace has applications in quantum information and decoherence which is relevant for quantum measurement...
Partial least squares (PLS) regression is a statistical method that bears some relation to principal components regression; instead of finding hyperplanes...
Empirical Mode Decomposition have been used to analyze characterization of multidimensional signals. The empirical mode decomposition (EMD) method can...
multivariate quality control, proper orthogonal decomposition (POD) in mechanical engineering, singular value decomposition (SVD) of X (invented in the last quarter...
Information Games Using Decomposition". Proceedings of the Twenty-Eighth AAAI Conference on Artificial Intelligence. "Complete vs Perfect Information...
In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function...
if it has non-empty boundary. Any handlebody decomposition of a manifold defines a CW complex decomposition of the manifold, since attaching an r-handle...
that the Hodge decomposition is a decomposition of cohomology with complex coefficients that usually does not come from a decomposition of cohomology with...
unpredictable components). See Wold's theorem and Wold decomposition. Kendall shows an example of a decomposition into smooth, seasonal and irregular factors for...
regression, ridge regression, and the (adaptive) lasso – make use of this decomposition of R2 when they gradually shrink parameters from the unrestricted OLS...
Pyrolysis is the process of thermal decomposition of materials at elevated temperatures, often in an inert atmosphere. The word pyrolysis is coined from...