Information Geometry
SCOPUS (2018-2025)
2511-249X
2511-2481
Cơ quản chủ quản: Springer Nature
Lĩnh vực:
Computer Science ApplicationsGeometry and TopologyStatistics and ProbabilityApplied MathematicsComputational Theory and Mathematics
Phân tích ảnh hưởng
Các bài báo tiêu biểu
Information geometry connecting Wasserstein distance and Kullback–Leibler divergence via the entropy-relaxed transportation problem
Tập 1 - Trang 13-37 - 2018
Two geometrical structures have been extensively studied for a manifold of
probability distributions. One is based on the Fisher information metric, which
is invariant under reversible transformations of random variables, while the
other is based on the Wasserstein distance of optimal transportation, which
reflects the structure of the distance between underlying random variables.
Here, we propose...
Assignment flows for data labeling on graphs: convergence and stability
- 2022
AbstractThe assignment flow recently introduced in the J. Math. Imaging and
Vision 58/2 (2017) constitutes a high-dimensional dynamical system that evolves
on a statistical product manifold and performs contextual labeling
(classification) of data given in a metric space. Vertices of an underlying
corresponding graph index the data points and define a system of neighborhoods.
These neighborhoods t...