Time distinctions in Kaingáng

The speakers of the Paraná dialect of Kaingáng, from whom the data of this study were gathered, have lived in close contact with the Brazilians since before the turn of the century. Although many members of this group are still monolingual and Kaingáng is spoken in all the homes, the influence of Portuguese is making an impact on the language. This can be seen not only in isolated loan words, but it is slowly changing the time dimension of the language and the thinking of the Indians. The change seems to have come about first through loan words, but it is now also affecting the semantic structure of the language and is beginning to affect the grammatical structure as well. The study here presented deals with this change as it can be seen in relation to time expressions such as yesterday – today – tomorrow; units of time such as day – month – year; kinship terms; and finally aspect particles. In considering the time expressions the meaning of various paradigms will be discussed. The paradigms are related to the time when events took place, to sequence of events, and to the point of the action. No Brazilian influence can be observed here. In the discussion of the units of time the semantic area of these units before and after Brazilian influence will be explored. Through Brazilian influence vocabulary has been developed with which it is possible to accurately pinpoint events in time which was not possible before this. The time distinctions within the kinship system will be discussed, and how they change with the influence of Brazilian terms. A whole new generation distinction is added in the modified kinship system. Similary several new aspect particles are being created through contractions, which now contain a time element. The whole development shows an emphasis on fine distinctions in time depth which came about through the contact with Portuguese and which can be observed in several points of the structure of Kaingáng

Differential Higgs+jet production in bottom quark annihilation and gluon fusion

We present recent developments concerning Higgs production in bottom quark annihilation and gluon fusion. For bottom quark annihilation, we show the transverse momentum distribution of the associated jets. Furthermore, we discuss the distribution of events into n-jet bins for n=0 and n>0 at NNLO and NLO, respectively. For gluon fusion, the quality of the heavy-top limit for differential quantities at O(\alpha_s^4) is studied by taking into account higher order terms in the 1/m_{top} expansion.Comment: 4 pages, 7 figures. Contribution to the proceedings of QCD12 - 16th International Conference in Quantum ChromoDynamics, 2-6th July 2012 (Montpellier - France

Top- and bottom-mass effects in hadronic Higgs production at small transverse momenta through LO+NLL

The resummed transverse momentum distribution of the Higgs boson in gluon fusion through LO+NLL for small transverse momenta is considered, where the Higgs is produced through a top- and bottom-quark loop. We study the mass effects with respect to the infinite top-mass approach. The top-mass effects are small and the heavy-top limit is valid to better than 4% as long as the Higgs' transverse momentum stays below 150 GeV. When the bottom loop is considered as well, the discrepancy reaches up to about 10%. We conclude that bottom-mass effects cannot be included in a reasonable manner by a naive reweighting procedure in the heavy-top limit. We compare our results to an earlier, alternative approach based on POWHEG.Comment: 20 pages, 8 figure

Robust Resource Allocations in Temporal Networks

Temporal networks describe workflows of time-consuming tasks whose processing order is constrained by precedence relations. In many cases, the durations of the network tasks can be influenced by the assignment of resources. This leads to the problem of selecting an ‘optimal’ resource allocation, where optimality is measured by network characteristics such as the makespan (i.e., the time required to complete all tasks). In this paper, we study a robust resource allocation problem where the functional relationship between task durations and resource assignments is uncertain, and the goal is to minimise the worst-case makespan. We show that this problem is generically NP-hard. We then develop convergent bounds for the optimal objective value, as well as feasible allocations whose objective values are bracketed by these bounds. Numerical results provide empirical support for the proposed method.Robust Optimisation, Temporal Networks, Resource Allocation Problem

Robust Markov Decision Processes

Markov decision processes (MDPs) are powerful tools for decision making in uncertain dynamic environments. However, the solutions of MDPs are of limited practical use due to their sensitivity to distributional model parameters, which are typically unknown and have to be estimated by the decision maker. To counter the detrimental effects of estimation errors, we consider robust MDPs that offer probabilistic guarantees in view of the unknown parameters. To this end, we assume that an observation history of the MDP is available. Based on this history, we derive a confidence region that contains the unknown parameters with a pre-specified probability 1-ß. Afterwards, we determine a policy that attains the highest worst-case performance over this confidence region. By construction, this policy achieves or exceeds its worst-case performance with a confidence of at least 1 - ß. Our method involves the solution of tractable conic programs of moderate size.

Finite top-mass effects in gluon-induced Higgs production with a jet-veto at NNLO

Effects from a finite top quark mass on the H+n-jet cross section through gluon fusion are studied for $n=0/n\ge 1$ at NNLO/NLO QCD. For this purpose, sub-leading terms in $1/m_t$ are calculated. We show that the asymptotic expansion of the jet-vetoed cross section at NNLO is very well behaved and that the heavy-top approximation is valid at the five permille level up to jet-veto cuts of 300 GeV. For the inclusive Higgs+jet rate, we introduce a matching procedure that allows for a reliable prediction of the top-mass effects using the expansion in $1/m_t$. The quality of the effective field theory to evaluate differential K-factors for the distribution of the hardest jet is found to be better than 1-2% as long as the transverse momentum of the jet is integrated out or remains below about 150 GeV.Comment: 22 pages, 14 figure

Generalized Decision Rule Approximations for Stochastic Programming via Liftings

Stochastic programming provides a versatile framework for decision-making under uncertainty, but the resulting optimization problems can be computationally demanding. It has recently been shown that, primal and dual linear decision rule approximations can yield tractable upper and lower bounds on the optimal value of a stochastic program. Unfortunately, linear decision rules often provide crude approximations that result in loose bounds. To address this problem, we propose a lifting technique that maps a given stochastic program to an equivalent problem on a higherdimensional probability space. We prove that solving the lifted problem in primal and dual linear decision rules provides tighter bounds than those obtained from applying linear decision rules to the original problem. We also show that there is a one-to-one correspondence between linear decision rules in the lifted problem and families of non-linear decision rules in the original problem. Finally, we identify structured liftings that give rise to highly flexible piecewise linear decision rules and assess their performance in the context of a stylized investment planning problem.

Higgs production in bottom quark annihilation: Transverse momentum distribution at NNLO+NNLL

We present the inclusive transverse momentum distribution for Higgs bosons produced in bottom quark annihilation at the LHC. The results are obtained in the five-flavor scheme. The soft and collinear terms at small $p_T$ are resummed through NNLL accuracy and matched to the NNLO transverse momentum distribution at large $p_T$. We find that the theoretical uncertainty, derived from a variation of the unphysical scales entering the calculation, is significantly reduced with respect to lower orders.Comment: 35 pages, 22 figure