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Connecting Brains with Machines. The Neural Control of 2D Cursor Movement http://www.cs.uml.edu/~hgoodell.
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Connecting Brains with Machines The Neural Control of 2D Cursor Movement http://www.cs.uml.edu/~hgoodell M. J. Black, E. Bienenstock, J.P. Donoghue, M. Serruya, Wei Wu; Yun Gao, Proceedings of the First International IEEE EMBS Conference on Neural Engineering, pp. 610-613, Mar. 2003. http://donoghue.neuro.brown.edu/pubs/capri%20IEEE%20review.pdf
Firing rate vs. velocity • Firing rate roughly relative to speed • Rough cosine dependence to preferred angle of motion • Zc = h3 + hx vx + hy vy
Firing rate vs. velocity Measured Speed vs. Direction Best Linear Model
Firing rate vs. position • At a slower time scale (1.4 second vs. 70 ms for position), firing rate is also proportional to position.
Firing rate vs. position Measured position Best Linear Model
General Linear Model • Zk = Hxk + qk • Z = vector of firing rates of sampled cells • xk = x6 matrix (x,y position, velocity, accel) • H = matrix of coefficients relating each cell’s firing rate to these 6 properties. • Kalman filter trained with 3.5 minutes of data