2,081 research outputs found
Model of Multi-branch Trees for Efficient Resource Allocation
Although exploring the principles of resource allocation is still important in many fields, little is known about appropriate methods for optimal resource allocation thus far. This is because we should consider many issues including opposing interests between many types of stakeholders. Here, we develop a new allocation method to resolve budget conflicts. To do so, we consider two points—minimizing assessment costs and satisfying allocational efficiency. In our method, an evaluator's assessment is restricted to one's own projects in one's own department, and both an executive's and mid-level executives' assessments are also restricted to each representative project in each branch or department they manage. At the same time, we develop a calculation method to integrate such assessments by using a multi-branch tree structure, where a set of leaf nodes represents projects and a set of non-leaf nodes represents either directors or executives. Our method is incentive-compatible because no director has any incentive to make fallacious assessments
How can robots facilitate social interaction of children with autism?: Possible implications for educational environments
Children with autism have difficulties in social
interaction with other people and much attention
in recent years has been directed to robots as therapy
tools. We studied the social interaction between
children with autism and robots longitudinally
to observe developmental changes in their
performance. We observed children at a special
school for six months and analyzed their performance
with robots. The results showed that two
children adapted to the experimental situations
and developed interaction with the robots. This
suggests that they changed their interaction with
the robots from an object-like one into an agentlike
one
Multiple-point principle with a scalar singlet extension of the Standard Model
We suggest a scalar singlet extension of the standard model, in which the
multiple-point principle (MPP) condition of a vanishing Higgs potential at the
Planck scale is realized. Although there have been lots of attempts to realize
the MPP at the Planck scale, the realization with keeping naturalness is quite
difficult. Our model can easily achieve the MPP at the Planck scale without
large Higgs mass corrections. It is worth noting that the electroweak symmetry
can be radiatively broken in our model. In the naturalness point of view, the
singlet scalar mass should be of or less. We also
consider right-handed neutrino extension of the model for neutrino mass
generation. The model does not affect the MPP scenario, and might keep the
naturalness with the new particle mass scale beyond TeV, thanks to accidental
cancellation of Higgs mass corrections.Comment: 17 pages, 6 figures, version accepted for publication in PTE
Bosonic seesaw mechanism in a classically conformal extension of the Standard Model
We suggest the so-called bosonic seesaw mechanism in the context of a
classically conformal extension of the Standard Model with two
Higgs doublet fields. The symmetry is radiatively broken via the
Coleman-Weinberg mechanism, which also generates the mass terms for the two
Higgs doublets through quartic Higgs couplings. Their masses are all positive
but, nevertheless, the electroweak symmetry breaking is realized by the bosonic
seesaw mechanism. Analyzing the renormalization group evolutions for all model
couplings, we find that a large hierarchy among the quartic Higgs couplings,
which is crucial for the bosonic seesaw mechanism to work, is dramatically
reduced toward high energies. Therefore, the bosonic seesaw is naturally
realized with only a mild hierarchy, if some fundamental theory, which provides
the origin of the classically conformal invariance, completes our model at some
high energy, for example, the Planck scale. We identify the regions of model
parameters which satisfy the perturbativity of the running couplings and the
electroweak vacuum stability as well as the naturalness of the electroweak
scale.Comment: 5 pages, 2 figures, published version in PL
Generalizations of Cauchy's Determinant and Schur's Pfaffian
We present several generalizations of Cauchy's determinant and Schur's
Pfaffian by considering matrices whose entries involve some generalized
Vandermonde determinants. Special cases of our formulae include previuos
formulae due to S.Okada and T. Sundquist. As an application, we give a relation
for the Littlewood--Richardson coefficients involving a rectangular partition.Comment: 26 page
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