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LDS experiments with the "Gene's back" sequence

  1. Given rotation matrices R_t, and basis weights l_{t,i} find basis shapes B using linear least-squares
  2. Given B and R_t find l_{t,i} using the least-squares and the dynamical constraint l_{t+1,i} = A* [l_{t,i}; l_{t-1,i}; ...]
  3. Given B and l_{t,i}find rotation matrices R_t.

These videos are then generated by using the final B and R_t that are derived. We start from the estimate of l_{0,i} as given by the LDS EM learning procedure and generate subsequent l's as given by the learned A.

Original Movie [mov] Rank 4 dim(l) = 4 Rank 5 dim(l) = 5 Rank 6dim(l) = 6
LDS Order 1
l(t+1) = A*l(t)
[mov]   [mov]
LDS Order 2
l(t+1) = A*l(t) + B*l(t-1)
    [mov]
LDS Order 3
l(t+1) = A*l(t) + B*l(t-1) + C*l(t-2)
  [mov] [mov]
LDS Order 4
l(t+1) = A*l(t) + B*l(t-1) + C*l(t-2) + D*l(t-3)
[mov] [mov] [mov]