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What is Marked point process?
A point process is a collection of random variables that are positions in some space (like locations on a plane). A marked point process is a point process in which some additional features are measured at each point.
What is point to point process?
In statistics and probability theory, a point process or point field is a collection of mathematical points randomly located on a mathematical space such as the real line or Euclidean space. Point processes can be used as mathematical models of phenomena or objects representable as points in some type of space.
What is a point process model?
Point process models are useful for describing phenomena occurring at random locations and/or times. A point process is a random collection of points falling in some space. In most applications, each point represents the time and/or location of an event, such as a lightning strike or earthquake.
What is self exciting point process?
Self-exciting point processes describe random sequences of events where the occurrence of an event increases the likelihood that subsequent events occur nearby in time and space.
What is temporal point process?
Temporal point processes (TPP) are probabilistic generative models for continuous-time event sequences. Neural TPPs combine the fundamental ideas from point process literature with deep learning approaches, thus enabling construction of flexible and efficient models.
How is the conditional intensity of a point pattern defined?
In other words, the conditional intensity function specifies the mean number of events in a region conditional on the past. The (inhomogeneous) Poisson process is among other things characterised by the number of points in disjoint sets being independent. The conditional intensity function inherets this inde- pendence.
What is spatio temporal?
Spatiotemporal, or spatial temporal, is used in data analysis when data is collected across both space and time. It describes a phenomenon in a certain location and time — for example, shipping movements across a geographic area over time (see above example image).
What is intensity function?
The intensity function is defined so that the number n(X∩B) of points of X falling in B⊂L has expectation E(n(X∩B))=∫Bλ(u)du. λ(u) is the expected number of random points per unit length of network, in the vicinity of location u.