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Research Frontiers in Functional Data Analysis Methods

Statistical approaches for analyzing data that are curves, surfaces, or other functional objects rather than scalar measurements.

Infinite-Dimensional Manifold Learning in Functional Spaces
Topological Data Analysis of High-Dimensional Functional Objects
Sparse Functional Principal Component Analysis Under Constraints
Causal Inference on Functional and Longitudinal Trajectories
Functional Extremes: Tail Behavior in Infinite-Dimensional Data
Nonlinear Functional Regression via Deep Geometric Methods
Dynamic Functional Clustering Under Temporal Dependence
Robust Statistics for Contaminated Functional Data Streams
Functional Data on Non-Euclidean Domains and Riemannian Manifolds
Asymptotic Theory of Functional Time Series Beyond Stationarity

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