We describe a graphical model for probabilistic relationships|an alternative to the Bayesian network|called a dependency network. The graph of a dependency network, unlike a Bayesian network, is potentially cyclic. The probability component of a dependency network, like a Bayesian network, is a set of conditional distributions, one for each node given its parents. We identify several basic prop...

We describe a graphical representation of probabilistic relationships-an alternative to the Bayesian network-called a dependency network. Like a Bayesian network, a dependency network has a graph and a probability component. The graph component is a (cyclic) directed graph such that a node's parents render that node independent of all other nodes in the network. The probability component consis...

For an embedding φ of the Cuntz algebra OM into ON , OM is identified with a subalgebra φ(OM) of ON . We construct irreducible representations of ON with continuous parameters by extending irreducible representations of OM . They are not unitarily equivalent to any generalized permutative representation, especially not to any permutative representation by Bratteli-Jorgensen and Davidson-Pitts. ...

We demonstrate that the transfer matrix of the inhomogeneous N -state chiral Potts model with two vertical superintegrable rapidities serves as the Q-operator of XXZ chain model for a cyclic representation of Uq(sl2) with Nth root-of-unity q and representation-parameter. The symmetry problem of XXZ chain with a general cyclic Uq(sl2)-representation is mapped onto the problem of studying Q-opera...

Quantum chaotic states over a noncommutative monoid, a unitalization of a noncommutative Ito algebra parametrizing a quantum stochastic Levy process, are described in terms of their infinitely divisible generating functionals over the simple monoid-valued fields on an atomless ‘space-time’ set. A canonical decomposition of the logarithmic conditionally posive-definite generating functional is c...

This paper focuses on isogeny representations, defined as ways to evaluate isogenies and verify membership the language of isogenous supersingular curves (the set triples $$D,E_1,E_2$$ with a cyclic degree D between $$E_1$$ $$E_2$$ ). The tasks evaluating verifying are fundamental for isogeny-based cryptography. Our main contribution is design suborder representation, new representation targett...

We propose a new method of automatically finding periodic modes of locomotion for arbitrary articulated figures. Cyclic pose control graphs are used as our control representation. These specifically constrain the controller synthesis process to only those controllers producing periodic driving functions. It is shown that stochastic generate-and-test techniques work well with this representation...

Abstract. This study examines the emblematic case of a test room and its relation to digital modelling. space is result multi-optimization process that has been physically built for verification initial hypotheses. As result, it actually Physical Twin, designed be transformable by removing wall. The same space, on other hand, become useful testing Digital Twin logic associating BIM model with d...

A new 2-parameter quadratic deformation of the quantum oscillator algebra and its 1-parameter deformed Heisenberg subalgebra are considered. An infinite dimensional Fock module representation is presented which at roots of unity contains null vectors and so is reducible to a finite dimensional representation. The cyclic, nilpotent and unitary representations are discussed. Witten’s deformation ...

In this paper, we present a max-plus algebraic model for cyclically operated highthroughput screening plants. A max-plus algebraic representation of the system, derived directly from a discrete-event systems model of the predetermined globally optimal solution, contains negative order arcs, forcing certain events in previous cycles to occur after events in the current cycle. With respect to the...