Stanford Seminar - Towards theories of single-trial high dimensional neural data analysis

Introduction.
A major conceptual elephant in systems neuroscience.
Talk outline.
Fundamental conceptual questions.
New definition of neural task complexity.
Neural Dimensionality and Task Complexity: Intuition.
A larger context: random projections.
Conclusions.
Towards a single trial theory.
Low-rank Matrix Perturbation Theory.
Static Decoding - Recovering Dimensionality.
Latent State Recovery: Simulations.
Latent State Recovery: Monkey Data.
Discovering structure in subsampled neural dynamics.
Data often modeled using latent linear dynamical systems.
Tensor components analysis.