Can discrete time make continuous space look discrete?

Continuous versus Discrete-time Modeling: Does it make a Difference?

* We would like to thank Jess Benhabib, Stephanie Schmitt-Grohe, and Martin Uribe for many helpful discussions. Any remaining errors are our own.

Continuous - Time Discrete - Space Models for Animal Movement

The processes influencing animal movement and resource selection are complex and varied. Past efforts to model behavioral changes over time used Bayesian statistical models with variable parameter space, such as reversiblejump Markov chain Monte Carlo approaches, which are computationally demanding and inaccessible to many practitioners. We present a continuoustime discrete-space (CTDS) model o...

Computable CTL* for Discrete-Time and Continuous-Space Dynamic Systems

Dynamic systems are widely applied for modelling and analysis in physiology, biology, chemistry and engineering. The high-profile and safety-critical nature of such applications has resulted in a large amount of work on formal methods for dynamic systems: mathematical logics, computational methods, formal verification, and etc. In our work, we focus on the verification approach called model che...

Discrete Event, Continuous Time RNNs

We investigate recurrent neural network architectures for event-sequence processing. Event sequences, characterized by discrete observations stamped with continuous-valued times of occurrence, are challenging due to the potentially wide dynamic range of relevant time scales as well as interactions between time scales. We describe four forms of inductive bias that should benefit architectures fo...

Discrete-time Equivalents to Continuous-time Systems