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» Undecidability over Continuous Time
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ICML
2010
IEEE
15 years 2 months ago
Heterogeneous Continuous Dynamic Bayesian Networks with Flexible Structure and Inter-Time Segment Information Sharing
Classical dynamic Bayesian networks (DBNs) are based on the homogeneous Markov assumption and cannot deal with heterogeneity and non-stationarity in temporal processes. Various ap...
Frank Dondelinger, Sophie Lebre, Dirk Husmeier
121
Voted
HYBRID
2003
Springer
15 years 8 months ago
A Hoare Logic for Single-Input Single-Output Continuous-Time Control Systems
This paper presents a Hoare-style logic for reasoning about the frequency response of control systems in the continuous-time domain. Two properties, the gain (amplitude) and phase ...
Richard J. Boulton, Ruth Hardy, Ursula Martin
176
Voted
JAIR
2010
181views more  JAIR 2010»
14 years 10 months ago
Intrusion Detection using Continuous Time Bayesian Networks
Intrusion detection systems (IDSs) fall into two high-level categories: network-based systems (NIDS) that monitor network behaviors, and host-based systems (HIDS) that monitor sys...
Jing Xu, Christian R. Shelton
LFCS
2007
Springer
15 years 9 months ago
Weighted O-Minimal Hybrid Systems Are More Decidable Than Weighted Timed Automata!
Abstract. We consider weighted o-minimal hybrid systems, which extend classical o-minimal hybrid systems with cost functions. These cost functions are “observer variables” whic...
Patricia Bouyer, Thomas Brihaye, Fabrice Chevalier
140
Voted
JMLR
2010
137views more  JMLR 2010»
14 years 10 months ago
Importance Sampling for Continuous Time Bayesian Networks
A continuous time Bayesian network (CTBN) uses a structured representation to describe a dynamic system with a finite number of states which evolves in continuous time. Exact infe...
Yu Fan, Jing Xu, Christian R. Shelton