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Found 6 papers, 1 papers with code
A Geometric Understanding of Natural Gradient
While natural gradients have been widely studied from both theoretical and empirical perspectives, we argue that some fundamental theoretical issues regarding the existence of gradients in infinite dimensional function spaces remain underexplored.
The Geometry of Loop Spaces III: Diffeomorphisms of Contact Manifolds
We study the diffeomorphism and isometry groups of manifolds $\overline {M_p}$, $p\in\mathbb Z$, which are circle bundles over a closed $4n$-dimensional integral symplectic manifold.
Differential Geometry
Occupant Plugload Management for Demand Response in Commercial Buildings: Field Experimentation and Statistical Characterization
By augmenting the visual feedback in the university environment with a monetary incentive, the mean energy reduction was found to be ~24. 22%
Bayesian classification, anomaly detection, and survival analysis using network inputs with application to the microbiome
While the study of a single network is well-established, technological advances now allow for the collection of multiple networks with relative ease.
Applications
Discretized Gradient Flow for Manifold Learning in the Space of Embeddings
Manifold learning/dimensionality reduction, which seeks a low dimensional manifold that best represents data in a high dimensional Euclidean space, is an inherently infinite dimensional problem.
Dimensionality Reduction
Differential Geometry
Class Probability Estimation via Differential Geometric Regularization
We study the problem of supervised learning for both binary and multiclass classification from a unified geometric perspective.
