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Mathematical Framework:

by Laurent Mertz
"... → study of elastic-plastic oscillators with noise 2 References in Engineering literature: → an elasto-plastic model with noise (Karnopp & Scharton, 1966) → estimation of the variance of the deformation (Feau, 2007) 2 / 44 Motivation: risk analysis of failure for mechanical structures under rando ..."
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→ study of elastic-plastic oscillators with noise 2 References in Engineering literature: → an elasto-plastic model with noise (Karnopp & Scharton, 1966) → estimation of the variance of the deformation (Feau, 2007) 2 / 44 Motivation: risk analysis of failure for mechanical structures under random forcing

A Mathematical Framework for the

by Global Brain , 2004
"... We develop a mathematical framework of continuum neural field theory as the beginning point for an analysis of the global brain. Arguments for and against this approach are developed. Applications to cortical dynamics and learning in somato-sensory cortex, visual cortex and motor control are briefly ..."
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We develop a mathematical framework of continuum neural field theory as the beginning point for an analysis of the global brain. Arguments for and against this approach are developed. Applications to cortical dynamics and learning in somato-sensory cortex, visual cortex and motor control

The Unit Graphs Mathematical Framework

by Maxime Lefrançois, Fabien G, Maxime Lefrançois, Fabien G , 2013
"... We are interested in the choice of a graph-based knowledge representation formalism that would allow for the representation, manipulation, query, and reasoning over linguistic knowledge of the Explanatory Combinatorial Dictionary (ECD) of the Meaning-Text Theory (MTT). We show that neither the seman ..."
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the semantic web formalisms nor the Conceptual Graphs Formalism are suitable for this task, and we justify the introduction of the new Unit Graphs (UGs) framework. We introduce the fundamental concepts of the UGs mathematical framework: the Unit Types hierarchy and the Unit Graphs. We then show how they may

Between MDPs and Semi-MDPs: A Framework for Temporal Abstraction in Reinforcement Learning

by Richard S. Sutton , Doina Precup , Satinder Singh , 1999
"... Learning, planning, and representing knowledge at multiple levels of temporal abstraction are key, longstanding challenges for AI. In this paper we consider how these challenges can be addressed within the mathematical framework of reinforcement learning and Markov decision processes (MDPs). We exte ..."
Abstract - Cited by 569 (38 self) - Add to MetaCart
Learning, planning, and representing knowledge at multiple levels of temporal abstraction are key, longstanding challenges for AI. In this paper we consider how these challenges can be addressed within the mathematical framework of reinforcement learning and Markov decision processes (MDPs). We

A Mathematical Framework for Active Steganalysis

by R. Chandramouli , 2003
"... A mathematical framework for steganalysis is presented in this paper with linear steganography being the main focus. A mathematically formal definition of steganalysis is given. Then, active steganalysis defined as the extraction of a hidden message with little or no a priori information is formulat ..."
Abstract - Cited by 22 (1 self) - Add to MetaCart
A mathematical framework for steganalysis is presented in this paper with linear steganography being the main focus. A mathematically formal definition of steganalysis is given. Then, active steganalysis defined as the extraction of a hidden message with little or no a priori information

Anomalous transport: A mathematical framework

by H. Schulz-baldes, J. Bellissard - MR 99b:81046 162 , 1998
"... We develop a mathematical framework allowing to study anomalous transport in homogeneous solids. The main tools characterizing the anomalous transport properties are spectral and diffusion exponents associated to the covariant Hamiltonians describing these media. The diffusion exponents characterize ..."
Abstract - Cited by 18 (8 self) - Add to MetaCart
We develop a mathematical framework allowing to study anomalous transport in homogeneous solids. The main tools characterizing the anomalous transport properties are spectral and diffusion exponents associated to the covariant Hamiltonians describing these media. The diffusion exponents

A Formal Mathematical Framework for

by Modeling Probabilistic Hybrid
"... The development of autonomous agents, such as mobile robots and software agents, has generated considerable research in recent years. Robotic systems, which are usually built from a mixture of continuous (analog) and discrete (digital) components, are often referred to as hybrid dynamical syst ..."
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The development of autonomous agents, such as mobile robots and software agents, has generated considerable research in recent years. Robotic systems, which are usually built from a mixture of continuous (analog) and discrete (digital) components, are often referred to as hybrid dynamical systems. Traditional approaches to real-time hybrid systems usually define behaviors purely in terms of determinism or sometimes non-determinism. However, this is insufficient as real-time dynamical systems very often exhibit uncertain behaviour. To address this issue, we develop a semantic model, Probabilistic Constraint Nets (PCN), for probabilistic hybrid systems.

A consistent Mathematical Framework

by A Eliza, Bo Dudu Jestes
"... linear feedback systems using distributions ..."
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linear feedback systems using distributions

Mathematical Framework Feature Vectors

by Saurabh Jain, Isotropic Multiresolution Analysis, Robert Azencott (uh, Isotropic Multiresolution Analysis , 2008
"... This work has been performed in collaboration with Simon K. ..."
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This work has been performed in collaboration with Simon K.

A mathematical framework for risk assessment

by Marco Benini, Sabrina Sicari - New Technologies, Mobility and Security, Signals and Communication , 2007
"... Abstract. Risk assessment is an important step in the development of a secure system: its goal is to identify the possible threats to a system, their impact and, henceforth, to evaluate the connected risks. Although several systematic approaches have been developed to perform a risk as-sessment task ..."
Abstract - Cited by 4 (3 self) - Add to MetaCart
-sessment task, the current methodologies rely on the quantitative evalu-ations of experts in a substantial way. This paper addresses the problem of detaching the methodology results from the subjective judgements of experts, by formalising a risk assessment methodology in an appropriate mathematical framework
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