A topological ordering (TO) is an ordering of the system variables X such that ∀ i, j, if X j comes before X i in the ordering, namely (…, X j,…, X i,…), then X i can only have node X j as a parent node.
To break ties when sequencing the orders in increasing order of their processing times, we employ the last-in first rule, i.e., we arrange order J j before order J i if J j is merged into a set of orders S and p j = p i, where J i ∈ S. Algorithm NF Input: A set of n orders J 1, …, J n. Output: A feasible schedule that minimizes the number of late orders.
Thus, to score the block B i, j with pivot C p, we count all the intervals that cross the pivot C p, whose left endpoints are located after c i−1 but before c i (for all i ≤ p, where c i is the left boundary of the block), together with those intervals whose right endpoints are located after c j but before c j+1 (for all j ≥ p, where c j is the right boundary of B i, j) (Fig. 3A).
As stated before, s k, i, j, t) depends on the chosen set of parameters.
We can then write the emission probabilities as before, a t i j ∼ Bin (n t i j, f t i j ).
Notice that all j ~ i, j are calculated only once before the training in epochs starts and then we also calculate the weight updates only with varying e that is the only vector that is recalculated at every epoch in the modified L-M formula (14).
The distance S j covered by the node N j before getting out of the coverage area of the node N i at t2 via the point B is S j = r - d i, j.
For example, we derive formulae for the time that an individual is expected to spend in its current patch i, and for the time that it will spend in the matrix, both conditional on the individual hitting next a given patch j before hitting any of the other patches or dying.
Compute the posterior probabilities p i j, t g = P { f t i j = g | a 0 i j … a t i j, s i j } as before, and the most likely path v t i j, using the Viterbi algorithm.
The similarity term is based on computing a per voxel real number called residual as R i, j, k (d X, d Y ) = I X (x i + δ x X (x i, y j ), y j + δ y X (x i, y j ), z k + δ z X (x i, y j ) ) − I Y (x i + δ x Y (x i, y j ), y j + δ y Y (x i, y j ), z k + δ z Y (x i, y j ) ) (1)Where i and j are defined as before and k ∈ { 1, 2,..., d } marks an index into the volume grid in the axial dimension.
In the second case, job J i starts before c(J−{J i }), which indicates there is an idle time between s i and c(J−{J i }).
