In the classical decision theory framework, the loss is a function of the decision taken and the state of nature as represented by a parameter 0. Information about 0 can be obtained via observation of a random variable X. In some situations however the loss will depend not directly on 0 but on the observed value of another random variable Y whose distribution depends on 0. This adds an extra la...

Natural human interaction is highly dynamic and responsive: interlocutors produce utterances incrementally, smoothly switch speaking turns with virtually no delay, make use of on-the-fly adaptation and (self) interruptions, execute movement in tight synchrony, etc. We present the conglomeration of our research efforts in enabling the realization of such fluent interactions for Embodied Conversa...

In the expanding near Universe where ≈ 50 % of the matter is clumped into galaxies and their halos, it was known from an earlier work that the angular magnification of a large CMB emission feature depends on the statistical balance between light beam convergence by clumps and divergence within the voids for the majority of the sightlines to the feature. The total flux, however, reflects this ba...

Inverse estimation is a classical and well-known problem in regression. In simple terms, it involves the use of an observed value of the response to make inference on the corresponding unknown value of the explanatory variable. To our knowledge, however, statistical software is somewhat lacking the capabilities for analyzing these types of problems. In this paper, we introduce investr (which st...

Recent cosmological observations suggest the existence of a positive cosmological constant Λ with the magnitude Λ(G~/c3) ≈ 10−123. This review discusses several aspects of the cosmological constant both from the cosmological (sections 1–6) and field theoretical (sections 7–11) perspectives. The first section introduces the key issues related to cosmological constant and provides a brief histori...

It is suggested that the true ground state of the world has exactly vanishing vacuum energy and that the cosmological constant that seems to have been observed is due to our region of the universe being stuck in a false vacuum, whose energy is split from the true vacuum by non-renormalizable operators that are suppressed by powers of the Planck scale. It is shown that conventional invisible axi...

The paper presents realization theory of discrete-time linear switched systems (abbreviated by DTLSSs). We present necessary and sufficient conditions for an input-output map to admit a discrete-time linear switched state-space realization. In addition, we present a characterization of minimality of discrete-time linear switched systems in terms of reachability and observability. Further, we pr...

An integer-valued sequence π = (d1, . . . , dn) is graphic if there is a simple graph G with degree sequence of π . We say the π has a realization G. Let Z3 be a cyclic group of order three. A graph G is Z3-connected if for every mapping b : V (G) → Z3 such that  v∈V (G) b(v) = 0, there is an orientation of G and amapping f : E(G) → Z3−{0} such that for each vertex v ∈ V (G), the sum of the va...

There is experimental evidence that the performance of standard subspace algorithms from the literature (e.g. the N4SID method) may be surprisingly poor in certain experimental conditions. This happens typically when the past signals (past inputs and outputs) and future input spaces are nearly parallel. In this paper we argue that the poor behavior may be attributed to a form of ill-conditionin...

An SO(10) grand unified model considered previously by the authors featuring lopsided down quark and charged lepton mass matrices is successfully predictive and requires that the lightest two right-handed Majorana neutrinons be nearly degenerate in order to obtain the LMA solar neutrino solution. Here we use this model to test its predictions for baryogenesis through resonant-enhanced leptogene...