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Average Reward Optimality in Semi-Markov Decision Processes with Costly Interventions
Sladký, Karel
2023 - anglický
In this note we consider semi-Markov reward decision processes evolving on finite state spaces. We focus attention on average reward models, i.e. we establish explicit formulas for the growth rate of the total expected reward. In contrast to the standard models we assume that the decision maker can also change the running process by some (costly) intervention. Recall that the result for optimality criteria for the classical Markov decision chains in discrete and continuous time setting turn out to be a very specific case of the considered model. The aim is to formulate optimality conditions for semi-Markov models with interventions and present algorithmical procedures for finding optimal solutions.
Klíčová slova:
controlled semi-Markov reward processes; long-run optimality; intervention of the decision maker
Dokument je dostupný na externích webových stránkách.
Average Reward Optimality in Semi-Markov Decision Processes with Costly Interventions
In this note we consider semi-Markov reward decision processes evolving on finite state spaces. We focus attention on average reward models, i.e. we establish explicit formulas for the growth rate of ...
Permutation Flip Processes
Hladký, Jan; Řada, Hanka
2023 - anglický
We introduce a broad class of stochastic processes on permutations which we call flip processes. A single step in these processes is given by a local change on a randomly chosen fixed-sized tuple of the domain. We use the theory of permutons to describe the typical evolution of any such flip process started from any initial permutation. More specifically, we construct trajectories in the space of permutons with the property that if a finite permutation is close to a permuton then for any time it stays with high probability is close to this predicted trajectory. This view allows to study various questions inspired by dynamical systems.
Klíčová slova:
permutation; permuton; sorting dynamics; flip process
Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Permutation Flip Processes
We introduce a broad class of stochastic processes on permutations which we call flip processes. A single step in these processes is given by a local change on a randomly chosen fixed-sized tuple of ...
Zpřesnění distribuce sněhové pokrývky na vybraných povodích s využitím dat automatických sněhoměrných stanic
Procházka, J.; Šustková, V.; Tesař, Miroslav
2023 - český
Studie hodnotí význam automatických sněhoměrných stanic (ASNS) provozovaných různými subjekty v oblasti vybraných subpovodí Šumavy spadajících do povodí přehradní nádrže Orlík. Je zde zdůrazněna potřeba monitoringu sněhové pokrývky jako významné složky hydrologické bilance povodí zejména v horských oblastech. Subpovodí Vltavy a Otavy reprezentují území pramenných oblastí v srážkově návětrné příhraniční části pohoří, kdežto subpovodí Volyňky a Blanice pramennou oblast závětrné vnitrozemské části pohoří. Význam ASNS je prokázán především v nejvyšších a odlehlých polohách Šumavy, kde chybí základní meteorologické stanice používané do běžných klimatologických a hydrologických hodnocení. Díky moderním podkladům a metodám je možné významně zpřesnit distribuci sněhové pokrývky a jejích vlastností. Kontinuální záznam výšky sněhu prostřednictvím ASNS takto poskytuje pro území vyšších poloh Šumavy nové poznatky a operativní údaje pro standardní klimatologická hodnocení i pro další aplikace využívané v rámci činnosti ČHMÚ, Povodí Vltavy, s. p. a dalšími institucemi např. pro správní a vědeckovýzkumné potřeby. The study evaluates the importance of automatic snow monitoring stations (ASMS) operated by different subjects in the chosen sub-catchments in the Šumava Mts. in the framework of water reservoir Orlík basin. The attention is paid to the snow cover monitoring as an important water balance component of a basin especially in the mountainous regions. Sub-catchments of the Vltava and Otava rivers represent head water regions of the rainfall windward part of the boarder mountains while Volyňka and Blanice sub-catchments represent leeward inland part of mountains. The importance of ASMS was proved especially in the highest and remote localities of the Šumava Mts. where the basic meteorological stations used for common climatological and hydrological evaluations are missing. The description of the snow cover and its characteristics is possible to improve significantly owing to recent sources and methods. The continual record of the snow cover depth gives for the higher regions of the Šumava Mts. new findings and operational data both for standard climatological evaluations and for further applications used in the framework various institutions, e.g. Czech Hydrometeorological Institute, State Enterprises, etc.
Klíčová slova:
Upper Vltava catchment; CHMI; climate map; snow data interpolation; amount of precipitation
Dokument je dostupný na externích webových stránkách.
Zpřesnění distribuce sněhové pokrývky na vybraných povodích s využitím dat automatických sněhoměrných stanic
Studie hodnotí význam automatických sněhoměrných stanic (ASNS) provozovaných různými subjekty v oblasti vybraných subpovodí Šumavy spadajících do povodí přehradní nádrže Orlík. Je zde zdůrazněna ...
Modeling the spread of loanwords in South-East Asia using sailing navigation software and Bayesian networks
Kratochvíl, F.; Kratochvíl, Václav; Saad, G.; Vomlel, Jiří
2022 - anglický
A loanword is a word permanently adopted from one language and incorporated into another language without translation. In this paper, we study loanwords in the South-East Asia Archipelago, home to a large number of languages. Our paper is inspired by the works of Hoffmann et al. (2021) Bayesian methods are applied to probabilistic modeling of family trees representing the history of language families and by Haynie et al. (2014) modeling the diffusion of a special class of loanwords, so-called Wanderw ̈orter in languages of Australia, North America, and South America. We assume that in the South-East Asia Archipelago Wanderwörter spread along specific maritime trade routes whose geographical characteristics can help unravel the history of Wanderwörter diffusion in the area. For millennia trade was conducted using sailing ships which were constrained by the monsoon system and in certain areas also by strong sea currents. Therefore rather than the geographical distances, the travel times of sailing ships should be considered as a major factor determining the intensity of contact among cultures. We use sailing navigation software to estimate travel times between different ports and show that the estimated travel times correspond well to the travel times of a Chinese map of the sea trade routes from the early seventeenth century. We model the spread of loanwords using a probabilistic graphical model - a Bayesian network. We design a novel heuristic Bayesian network structure learning algorithm that learns the structure as a union of spanning trees for graphs of all loanwords in the training dataset. We compare this algorithm with BIC optimal Bayesian networks by measuring how well these models predict the true presence/absence of a loanword. Interestingly, Bayesian networks learned by our heuristic spanning tree-based algorithm provide better results than the BIC optimal Bayesian networks.
Klíčová slova:
loanwords; Bayesian methods; probabilistic graphical model
Dokument je dostupný na externích webových stránkách.
Modeling the spread of loanwords in South-East Asia using sailing navigation software and Bayesian networks
A loanword is a word permanently adopted from one language and incorporated into another language without translation. In this paper, we study loanwords in the South-East Asia Archipelago, home to a ...
Nová regionální reanalýza pro střední Evropu PERUN/Reanalysis
Pokorná, Lucie; Belda, M.; Beranová, Romana
2022 - český
Tento příspěvek se věnuje obecnému popisu atmosférických reanalýz, jejich koncepci a roli při výzkumu atmosféry a klimatu. Představuje regionální reanalýzu PERUN/Reanalysis, která vznikla s využitím numerického modelu ALADIN v ČHMÚ v letech 2021-2022. The contribution describes atmospheric reanalyses in general, their concept and role in atmospheric and climate research. The novel PERUN/Reanalysis regional reanalysis based on the ALADIN numerical model opreating at the Czech National Institute of Hydrometeorology is presented.
Klíčová slova:
assimilation; model
Dokument je dostupný na externích webových stránkách.
Nová regionální reanalýza pro střední Evropu PERUN/Reanalysis
Tento příspěvek se věnuje obecnému popisu atmosférických reanalýz, jejich koncepci a roli při výzkumu atmosféry a klimatu. Představuje regionální reanalýzu PERUN/Reanalysis, která vznikla s využitím ...
Automation of metallographic sample cleaning process
Čermák, Jan; Ambrož, Ondřej; Jozefovič, Patrik; Mikmeková, Šárka
2022 - anglický
Specimen cleaning and drying are critical processes following any metallographic preparation steps. The paper focuses on automation by reason of absence of the process repeatability during manual sample handling. An etchant or electrolyte results in inhomogeneous surface quality because the solution runs off the specimen surface during its removal from the beaker. High-quality specimen cleaning is absolutely crucial for the acquisition of the specimen suitable for characterization by a scanning electron microscope operated at very low landing energies of the primary electrons (SLEEM). The SLEEM technique is a powerful tool for the characterization of advanced steels, as described by many scientific papers. The SLEEM requires the specimen absolutely free of water and any organic residues on the surface. This work presents a novel unique apparatus enabling automatic specimen cleaning and drying after the etching or electropolishing processes. Automation reduces the influence of dependent variables that would be introduced into the process by the metallographer. These variables include cleaning time, kinematics, and motion dynamics, but the process can also be affected by variables that are not obvious. Performed experiments clearly demonstrate our in-house designed apparatus as a useful tool improving efficiency and consistency of the sample cleaning process. The high quality of the specimen surface is verified using a light optical microscope, an electron scanning microscope, and above mentioned SLEEM technique.
Klíčová slova:
metallography; sample cleaning; process automation; repeatability
Dokument je dostupný na externích webových stránkách.
Automation of metallographic sample cleaning process
Specimen cleaning and drying are critical processes following any metallographic preparation steps. The paper focuses on automation by reason of absence of the process repeatability during manual ...
Innovative device for the simulation of environmental conditions and testing of building materials
Cacciotti, Riccardo; Wolf, Benjamin; Macháček, Michael; Frankl, Jiří
2022 - anglický
Excessive humidity influences the performance of building envelopes and the safety of their occupants. Moisture related problems can indeed impose significant health risks for buildings’ users and even lead, under extreme scenarios, to structural failures. This paper investigates an innovative experimental setup for evaluating the influence of changing environmental conditions on the performance of building materials. It stems out from a broader ongoing research aimed at studying the trends of mould growth on wooden building components. The presented results include the design, construction and numerical validation of a small-scale climatic wind tunnel (2m x 1.8m ca.) to be used for the simulation of natural ventilation and daily humidity and temperature fluctuations. Key findings include the final design of a low cost, modular construction which allows gathering reliable data on the response of building materials exposed to changing boundary conditions, intended for improving current mould growth models. Future work is also suggested.
Klíčová slova:
building envelope; moisture; building material; wind tunnel; performance
Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Innovative device for the simulation of environmental conditions and testing of building materials
Excessive humidity influences the performance of building envelopes and the safety of their occupants. Moisture related problems can indeed impose significant health risks for buildings’ users and ...
Application of first integrals in the construction of the Lyapunov function for the random response stability testing
Náprstek, Jiří; Fischer, Cyril
2022 - anglický
The paper deals with a possibility of using the properties of first integrals for the construction of Lyapunov function for the analysis of a dynamic system stability in the stochastic domain. It points out certain characteristics of first integrals resulting in the necessity to introduce additional constraints to assure the principal properties of the Lyapunov function. A number of these constraints has their physical interpretation with reference to system stability. The advantage of this method constructing the Lyapunov function consists in the fact that the Lyapunov function itself contains information on the examined system and, consequently, it is not merely a positive definite function without any relation to the actual case concerned. The presented theory finds application in many dynamical systems. The procedure is illustrated by a nonlinear SDOF example.
Klíčová slova:
stochastic stability; Lyapunov function; first integrals; cyclic coordinates
Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
Application of first integrals in the construction of the Lyapunov function for the random response stability testing
The paper deals with a possibility of using the properties of first integrals for the construction of Lyapunov function for the analysis of a dynamic system stability in the stochastic domain. It ...
100 years of the Friedmann equation
Křížek, Michal
2022 - anglický
In 1922, Alexander Friedmann applied Einstein’s equations to a three-dimensional sphere to describe the evolution of our universe. In this way he obtained a nonlinear ordinary differential equation (called after him) for the expansion function representing the radius of that sphere. At present, the standard cosmological ΛCDM model of the universe is based just on the Friedmann equation. It needs a significant amount of dark matter, about six times that of the usual baryonic matter, besides an even larger amount of dark energy to be consistent with the real universe. But to date, both dark matter and dark energy have remained without concrete evidence based on direct physical measurements. We present several arguments showing that such a claimed amount of dark matter and dark energy can only be the result of vast overestimation, incorrect extrapolations, and that it does not correspond to the real universe. The spatial part of our universe seems to be locally flat and thus it can be locally modeled by the Euclidean space. However, Friedmann did not consider the flat space with zero curvature. Therefore, in the second part of this paper we will derive a general form of the corresponding metric tensor satisfying Einstein’s equations with zero right-hand side.
Klíčová slova:
Einstein's equations; modeling error; incorrect extrapolations; dark matter
Dokument je dostupný na externích webových stránkách.
100 years of the Friedmann equation
In 1922, Alexander Friedmann applied Einstein’s equations to a three-dimensional sphere to describe the evolution of our universe. In this way he obtained a nonlinear ordinary differential equation ...
The characterization of the collimated beams of fast neutrons with the CLID detecion system
Ansorge, Martin; Novák, Jan; Majerle, Mitja; Kozic, Ján
2022 - anglický
A new detection device for the measurements of light ions (p, d, t, α) emitted as the products of the nuclear reactions induced by fast neutrons (5-33 MeV) was recently developed at the Nuclear Physics Institute of the Czech Academy of Sciences. The main objective of the Chamber-for-Light-Ion-Detection (CLID) is to produce new differential nuclear data of high interest for the material applications related to fusion and aerospace technologies and to potentially test and validate models of nuclear reactions. Hereby the experimental set-up for the measurements with the CLID is described in detail. The experimental characterization of the collimated fast neutron beams produced by the cyclotron-driven converter (p(35 MeV)+Be(2.5 mm)) is presented. In particular, the implementation of the Proton-Recoil-Telescope technique used for neutron energy spectra determination with the CLID is described.
Klíčová slova:
CLID; collimated fast neutron beams; cyclotron U-120M; NPI; Proton-Recoil-Telescope
Plné texty jsou dostupné v digitálním repozitáři Akademie Věd.
The characterization of the collimated beams of fast neutrons with the CLID detecion system
A new detection device for the measurements of light ions (p, d, t, α) emitted as the products of the nuclear reactions induced by fast neutrons (5-33 MeV) was recently developed at the Nuclear ...
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