THALis: literature-review map for EEG topology
TDA on EEG can mean direct signal, connectivity, or delay clouds. need to check which object each paper is actually using before borrowing the method
three analysis routes preserved in the review notes: filtration directly on a signal, topology of a connectivity representation, and delay-coordinate point clouds in phase space. The route determines what the topological object represents; “TDA on EEG” is not one interchangeable procedure.
Movement-class persistence diagrams
parameters to record: preprocessing, channels/features, delay, embedding dimension, window duration, distance metric and filtration. Betti numbers, persistence entropy and persistence landscapes compress different aspects of a diagram, so selecting a summary is another modeling choice.
- cross-modal caveat: the hand-manifold reading concerns ECoG and kinematics, including dPCA/CCA-style analyses and surrogate comparisons. It motivates asking about motor structure but does not make ECoG sampling or high-gamma preprocessing a drop-in protocol for an eight-channel scalp system.
- references retained from the notes: TDA for EEG review, compartmentalized hand-movement dynamics.
- review questions: what is preserved by the chosen representation, and what metric information is discarded? Can the same contrast survive a parameter sweep and a suitable null comparison? The source is a literature-summary document; its summarized paper results are not THALis experiment outcomes.