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Computational Neuroscience & Neural Engineering · Nature Methods 2018

LFADS: Latent Factor Analysis via Dynamical Systems for Single-Trial Neural Population Activity

Authors: Chethan Pandarinath, Daniel J. OShea, Jasmine Collins, Rafal Jozefowicz, Sergey D. Stavisky, Jonathan C. Kao, et al. (Stanford University, Emory, Google Brain) · arXiv: 1608.06315

Core Methodological Innovation

Models single-trial cortical spike trains as Poisson emissions driven by a nonlinear recurrent dynamical generator, inferring unmeasured external inputs and initial states via variational autoencoding.

Key Quantitative & Theoretical Takeaway: Decomposing single-trial spike variability into deterministic low-dimensional dynamical trajectories and inferred controller inputs predicts behavioral kinematics on millisecond timescales without trial averaging.

Abstract

In neuroscience, a central goal is to understand how populations of neurons coordinate to generate behavior. We introduce Latent Factor Analysis via Dynamical Systems (LFADS), a deep learning method to infer latent dynamics from single-trial neural spiking data.

Step-by-Step Equation & Methodology Breakdown

How does LFADS separate autonomous neural dynamics from external task inputs on single trials?

A bidirectional encoder infers the initial state g_0 of a recurrent generator RNN, while a separate controller network infers time-varying inputs u_t penalized by an autoregressive KL prior, isolating intrinsic dynamics from unexpected perturbations.

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