Successful cases of robot sales promotions have been increasing. Users tend to make purchases when robots properly interact with users. Most interactions/recommendations are created using specific products and locations within the context. Therefore, developers prepare a new recommendation interaction each time product, which creates difficulty in responding smoothly store’s requests. In this s...

The time-ordered product framework of quantum field theory can also be used to understand salient phenomena in stochastic biochemical networks. It is used here to derive Gillespie's stochastic simulation algorithm (SSA) for chemical reaction networks; consequently, the SSA can be interpreted in terms of Feynman diagrams. It is also used here to derive other, more general simulation and paramete...

In this paper a special higher order neuron, the hypersphere neuron, is introduced. By embedding Euclidean space in a conformal space, hyperspheres can be expressed as vectors. The scalar product of points and spheres in conformal space, gives a measure for how far a point lies inside or outside a hypersphere. It will be shown that a hypersphere neuron may be implemented as a perceptron with tw...

We derive cosmological constraints on the masses of generic scalar fields which decay only through gravitationally suppressed interactions into unstable gravitinos and ordinary particles in the supersymmetric standard model. For the gravitino mass 100GeV-1TeV, the scalar masses should be larger than 100TeV to keep the success of big-bang nucleosynthesis if no late-time entropy production dilute...

In 1948, W. Hoeffding introduced a large class of unbiased estimators called U -statistics, defined as the average value of a real-valued k-variate function h calculated at all possible sets of k points from a random sample. In the present paper we investigate the corresponding extreme value analogue, which we shall call U -max-statistics. We are concerned with the behavior of the largest value...

We conjecture the factorized scattering description for OSP (m/2n)/OSP (m− 1/2n) supersphere sigma models and OSP (m/2n) Gross Neveu models. The non unitarity of these field theories translates into a lack of ‘physical unitarity’ of the S matrices, which are instead unitary with respect to the non-positive scalar product inherited from the orthosymplectic structure. Nevertheless, we find that f...