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Active Subspaces 4: Toward Nonlinear Manifold Learning
Active Subspaces excel at finding linear combinations of variables, but many systems require nonlinear structure. We explore extensions such as generalized and deep active subspaces, and connect them with broader manifold learning and MosaicX-style atlas approaches.
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Active Subspaces 3: From Fluid Dynamics to Uncertainty Quantification
A survey of how Active Subspaces are applied across physics and engineering. We highlight case studies in fluid dynamics, aerospace design, Bayesian inference, and uncertainty quantification, and show how the method naturally connects to dimensional analysis.
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