We focus on a class of models used for representing the dynamics between a discrete set of probabilistic events in a continuous-time setting. The proposed framework offers tractable learning and inference procedures and provides compact state representations for processes which exhibit variable delays between events. The approach is applied to a heart sound labeling task that exhibits long-rang...

Based on the explicit time-domain method, an efficient analysis algorithm is developed for random vibration of coupled vehicle–bridge system with local nonlinear components. In this work, divided into two subsystems, including linear bridge subsystem and vehicle subsystem. Firstly, using equivalent linearization technique, linearized constructed hysteretic suspension spring at a given time inst...

Artifact flow represents an important aspect of teaching/learning processes, especially in CSCL situations in which complex relationships may be found. However, explicit modeling of CSCL processes with artifact flow may increase the cognitive load and associated effort of the teachers-designers and therefore decrease the efficiency of the design process. The empirical study, reported in this pa...

We present a proof of the explicit formula probability density function product normally distributed independent random variables using multiplicative convolution for Meijer G functions.

We study spectral properties of random operators in the general setting of groupoids and von Neumann algebras. In particular, we establish an explicit formula for the canonical trace of the von Neumann algebra of random operators and define an abstract density of states. The general setting applies to many examples studied before while we lay special emphasis on a new one: random Schrödinger op...

We study effects of additive spatiotemporal random variations, introduced to the payoffs of a spatial prisoner’s dilemma game, on the evolution of cooperation. In the absence of explicit payoff variations the system exhibits a phase transition from a mixed state of cooperators and defectors to a homogenous state of defectors belonging to the directed percolation universality class. By introduci...