2,360 research outputs found
Techniques for automated parameter estimation in computational models of probabilistic systems
The main contribution of this dissertation is the design of two new algorithms for automatically synthesizing values of numerical parameters of computational models of complex stochastic systems such that the resultant model meets user-specified behavioral specifications. These algorithms are designed to operate on probabilistic systems – systems that, in general, behave differently under identical conditions. The algorithms work using an approach that combines formal verification and mathematical optimization to explore a model\u27s parameter space. The problem of determining whether a model instantiated with a given set of parameter values satisfies the desired specification is first defined using formal verification terminology, and then reformulated in terms of statistical hypothesis testing. Parameter space exploration involves determining the outcome of the hypothesis testing query for each parameter point and is guided using simulated annealing. The first algorithm uses the sequential probability ratio test (SPRT) to solve the hypothesis testing problems, whereas the second algorithm uses an approach based on Bayesian statistical model checking (BSMC). The SPRT-based parameter synthesis algorithm was used to validate that a given model of glucose-insulin metabolism has the capability of representing diabetic behavior by synthesizing values of three parameters that ensure that the glucose-insulin subsystem spends at least 20 minutes in a diabetic scenario. The BSMC-based algorithm was used to discover the values of parameters in a physiological model of the acute inflammatory response that guarantee a set of desired clinical outcomes. These two applications demonstrate how our algorithms use formal verification, statistical hypothesis testing and mathematical optimization to automatically synthesize parameters of complex probabilistic models in order to meet user-specified behavioral propertie
Computing and Information Science (CIS)
Cornell University Courses of Study Vol. 97 2005/200
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Computing and Information Science
Cornell University Courses of Study Vol. 98 2006/200
Deciding Predicate Logical Theories Of Real-Valued Functions
The notion of a real-valued function is central to mathematics, computer science, and many other scientific fields. Despite this importance, there are hardly any positive results on decision procedures for predicate logical theories that reason about real-valued functions. This paper defines a first-order predicate language for reasoning about multi-dimensional smooth real-valued functions and their derivatives, and demonstrates that - despite the obvious undecidability barriers - certain positive decidability results for such a language are indeed possible
Newark College of Engineering Graduate Programs 1973-74 Academic Year
https://digitalcommons.njit.edu/coursecatalogs/1022/thumbnail.jp
Graduate School: Course Decriptions, 1972-73
Official publication of Cornell University V.64 1972/7
Deciding Predicate Logical Theories of Real-Valued Functions
The notion of a real-valued function is central to mathematics, computer
science, and many other scientific fields. Despite this importance, there are
hardly any positive results on decision procedures for predicate logical
theories that reason about real-valued functions. This paper defines a
first-order predicate language for reasoning about multi-dimensional smooth
real-valued functions and their derivatives, and demonstrates that - despite
the obvious undecidability barriers - certain positive decidability results for
such a language are indeed possible
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