The models will focus on how hippocampal networks learn to produce the spontaneous bursts (see Figure 1, right) that drive trajectory sequences.
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.
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).
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).
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).
These are extracted from an MD simulation by encoding the trajectory into sequences of 4-residue fragment states with the M32K25 structural alphabet (21).
Traditionally, the issue of how immigrants fare in their host countries has been studied either from an intergenerational perspective – comparing different generations of immigrants – or from an individual perspective – analysing trajectories and sequences of migrants' labour market integration.
