Exact(3)
This is similar to the way that HMM speech recognition systems work; although in recognition we are making a binary decision, that is, is this the correct triphone or not, whereas for animation we wish to recover a trajectory (sequence of states) that the vocal tract must pass through to produce the audio a more difficult task.
Let T = r1, r2, …, r n denote a vehicle node trajectory sequence, where r i depict the node's i th passing road, r1, r2, … r n ∈ R = {R1, R2, … R m }, R is the set of all roads, and m = |R| is the cardinality of R. A sequence segment r i k is denoted as r i k = r i ri+ 1…ri+k- 1, where k is the length of the sequence segment and r i 0 = ε.
Intriguingly, some ensemble traces or trajectories observed during recall were not seen during the learning phase (e.g. the reversal of CS-to-US association trajectory sequence rather than the original US-to-CS association trajectory movement).
Similar(57)
The gestures were acquired with the help of a Kinect camera, thus providing 3D skeleton joints trajectory sequences.
It can be pointed out that this alternative parallel description is also useful to describe nonlinear processes by the appropriate definitions of the operators describing the trajectory sequences as T, T n, and their auxiliary ones for the modeled and unmodeled dynamics.
The wedges are: (a) thick (> 700 m), vertically stacked, high-aspect-ratio wedges (HAR) with rising-trajectory sequence stacking and (b) thin (< 250 m), extensive (> 400 km), low-aspect-ratio (LAR) wedges with offlapping sequence architecture.
The 1st stage is materialized using a single trajectory (from here onwards, mentioned as sequence 1) while the 2nd stage is further divided into two trajectories (sequence 2 1 and sequence 2 2).
Cartoon illustrates that the abstraction preserves network dynamics: trajectories of the infinite state system (curves in blue region at bottom) are mapped to equivalent finite state trajectories (sequences of state transitions at top).
We add POI B, C, D, and E to the trajectory in sequence.
The convergence to fixed points or to best proximity points, if the trajectory solution sequence has a cyclic nature, describes the convergence either to equilibrium points or to a limit cycle of the solution.
As it is wellknown fixed point theory and related techniques are of increasing interest for solving a wide class of mathematical problems where convergence of a trajectory or sequence to some equilibrium set is essential, (see, e.g., [1 7]).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com