49,940 research outputs found
Towards a Calculus of Echo State Networks
Reservoir computing is a recent trend in neural networks which uses the
dynamical perturbations on the phase space of a system to compute a desired
target function. We present how one can formulate an expectation of system
performance in a simple class of reservoir computing called echo state
networks. In contrast with previous theoretical frameworks, which only reveal
an upper bound on the total memory in the system, we analytically calculate the
entire memory curve as a function of the structure of the system and the
properties of the input and the target function. We demonstrate the precision
of our framework by validating its result for a wide range of system sizes and
spectral radii. Our analytical calculation agrees with numerical simulations.
To the best of our knowledge this work presents the first exact analytical
characterization of the memory curve in echo state networks
Using Event Calculus to Formalise Policy Specification and Analysis
As the interest in using policy-based approaches for systems management grows, it is becoming increasingly important to develop methods for performing analysis and refinement of policy specifications. Although this is an area that researchers have devoted some attention to, none of the proposed solutions address the issues of analysing specifications that combine authorisation and management policies; analysing policy specifications that contain constraints on the applicability of the policies; and performing a priori analysis of the specification that will both detect the presence of inconsistencies and explain the situations in which the conflict will occur. We present a method for transforming both policy and system behaviour specifications into a formal notation that is based on event calculus. Additionally it describes how this formalism can be used in conjunction with abductive reasoning techniques to perform a priori analysis of policy specifications for the various conflict types identified in the literature. Finally, it presents some initial thoughts on how this notation and analysis technique could be used to perform policy refinement
Formal executable descriptions of biological systems
The similarities between systems of living entities and systems of concurrent processes may support biological experiments in silico. Process calculi offer a formal framework to describe biological systems, as well as to analyse their behaviour, both from a qualitative and a quantitative point of view. A couple of little examples help us in showing how this can be done. We mainly focus our attention on the qualitative and quantitative aspects of the considered biological systems, and briefly illustrate which kinds of analysis are possible. We use a known stochastic calculus for the first example. We then present some statistics collected by repeatedly running the specification, that turn out to agree with those obtained by experiments in vivo. Our second example motivates a richer calculus. Its stochastic extension requires a non trivial machinery to faithfully reflect the real dynamic behaviour of biological systems
Parallel Monitors for Self-adaptive Sessions
The paper presents a data-driven model of self-adaptivity for multiparty
sessions. System choreography is prescribed by a global type. Participants are
incarnated by processes associated with monitors, which control their
behaviour. Each participant can access and modify a set of global data, which
are able to trigger adaptations in the presence of critical changes of values.
The use of the parallel composition for building global types, monitors and
processes enables a significant degree of flexibility: an adaptation step can
dynamically reconfigure a set of participants only, without altering the
remaining participants, even if the two groups communicate.Comment: In Proceedings PLACES 2016, arXiv:1606.0540
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