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This study presents the results of a series of simulation experiments thatevaluate and compare four different manifold alignment methods under theinfluence of noise. The data was created by simulating the dynamics of twoslightly different double pendulums in three-dimensional space. The method ofsemi-supervised feature-level manifold alignment using global distance resultedin the most convincing visualisations. However, the semi-supervisedfeature-level local alignment methods resulted in smaller alignment errors.These local alignment methods were also more robust to noise and faster thanthe other methods.

Aligning Manifolds of Double Pendulum Dynamics Under the Influence of Noise