Synthetic-Independent

The temporal domain is generated by a Hawkes process, and the intensity function is defined as follows: λ(t, |Ht) = 0.2 + ∑[t < ti] (0.2e^(-0.2(t-t-ti)) + 4e^(-10(ti-t))). The spatial distribution follows a Two-dimensional Gaussian distribution: f(s1, s2) = 1 / √(1-ρ^2) * 2πσs1σs2 * e^(-(s1-μ1)^2 / (2σs1^2) - (s2-μ2)^2 / (2σs2^2)).