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Numerical scheme for daughter products built-up during accidental radioactivity releases
Pecha, Petr
2007 - English
Daughter product built-up during accidental radioactive relese from nuclear facility is analysed. Numerical algorithm implemented into segmented Gaussian model was adopted. Long-range of some important daughter products is illustrated. Je analyzována tvorba dceřinných produktů během mimořádných úniků radioaktivity z jaderného zařízení. Příslušný numerický algoritmus je implementován v rámci použitého segmentovaného disperzního Gaussova modelu. Je ilustrován rozsev důležitých dceřinných produktů do větších vzdáleností.
Keywords:
radionuclides; propagation
Available at various institutes of the ASCR
Numerical scheme for daughter products built-up during accidental radioactivity releases
Daughter product built-up during accidental radioactive relese from nuclear facility is analysed. Numerical algorithm implemented into segmented Gaussian model was adopted. Long-range of some ...
Generalized maximum likelihood estimates for infinite dimensional exponential families
Csiszár, I.; Matúš, František
2006 - English
The notion of generalized maximum likelihood estimate for finite dimensional canonically convex exponential families, studied in detail in previous works of the authors, is extended to an infinite dimensional setting. Existence of the estimate when a generalized log-likelihood function is bounded above, and a continuity property are established. Related literature and examples are discussed. Pojem zobecněného maximálně věrohodného odhadu, který byl studován v předcházejících pracích obou autorů, byl rozšířen na nekonečně rozměrné exponenciální rodiny. Byla dokázána existence tohoto odhadu a jeho spojitost v případech kdy je věrohodnostní funkce omezená shora. Dále jsou diskutovány speciální příklady a příbuzné výsledky z literatury.
Keywords:
exponential family; likelihood function; maximum likelihood estimate; Kullback-Leibler divergence minimization; generalized information projection; moment and marginal constraints
Available at various institutes of the ASCR
Generalized maximum likelihood estimates for infinite dimensional exponential families
The notion of generalized maximum likelihood estimate for finite dimensional canonically convex exponential families, studied in detail in previous works of the authors, is extended to an infinite ...
Empirical processes in stochastic programming
Kaňková, Vlasta; Houda, Michal
2006 - English
Usually, it is very complicated to investigate and to solve optimization problems depending on a probability measure. To this end a stability of them, considers with respect to a prabability measure space, has been discused in the stochastic programming literature many times. The paper is focus on the investigation of the stability with respect to the Wasserstein and to the Komolgorov metrics with "underlying" L_1 space. Moreover, we applay achieved stability results to empirical estimates. Studovat a řešit optimalizační úlohy závislé na pravděpodobnostní míře býva komplkované. Z toho důvodu byla v literatuře věnována velká pozornost studiu stability těchto úloh uvažované vzhledem k prostoru pravděpodobnostních měr. Práce je zaměřena na studium stability založené na Wassesteinově a Kolmogorově merice s L_1 normou v příslušném Eukleidově prostoru. Dosažené výsledky o stabilitě jsou aplikovány na empirické odhady.
Keywords:
stochastic programmnig; stability; empirical estimates; Wasserestein metric; Kolmogorov metric
Available at various institutes of the ASCR
Empirical processes in stochastic programming
Usually, it is very complicated to investigate and to solve optimization problems depending on a probability measure. To this end a stability of them, considers with respect to a prabability measure ...
Stochastic Programming programs with Linear Recourse; Application to Problems of Two Managers
Kaňková, Vlasta
2006 - English
Stochastic programming problems with recourse are a composition of two (outer and inner) optimization problems. A solution of the outer problem depends on the "underlying" probability measure while a solution of the inner problem depends on the solution of the outer problem and on the random element realization. Evidently, a position and optimal behaviour of two managers can (in many cases) be described by this type of the model in which an optimal behaviour of the main manager is determined by the outer problem while the optimal behaviour of the second manager is described by the inner problem. We focus on an investigation of the inner problem. Úlohy stochastického programování s lineární kompensací jsou komposicí dvou optimalisačních úloh (vnitřní a vnější). Řešení vnější úlohy múže záviset na náhodném elementu pouze prostřednictvím pravděpodobnostní míry, zatímco řešení vnirřní úlohy může záviset na řešení vnější úlohy a na realisaci náhodného elementu. Evidentně, problematika dvou manažérů může (v mnoha případech) být popsána modelem tohoto typu, ve kterém chování hlavního manažéra odpovídá vnější úloze, optimální chování druhého manažéra je dáno vnitřní úlohou. Příspěvek je zaměřen na zkoumání vlastností vnitřní úlohy.
Keywords:
Stochastic programming problems with linear recourse; stability; empirical estimates; Lipschitz function; strongly convex function
Available at various institutes of the ASCR
Stochastic Programming programs with Linear Recourse; Application to Problems of Two Managers
Stochastic programming problems with recourse are a composition of two (outer and inner) optimization problems. A solution of the outer problem depends on the "underlying" probability measure while a ...
How Many Extreme Points Does the Set of Probabiltiies Dominated by a Possibility Measure Have?
Kroupa, Tomáš
2006 - English
The paper contributes to the characterization of the convex set of probabilities dominated by a possibility measure on a finite set. An upper bound for the number of extreme points is derived.
Keywords:
possibility measure; simple polytope; extreme point
Available at various institutes of the ASCR
How Many Extreme Points Does the Set of Probabiltiies Dominated by a Possibility Measure Have?
The paper contributes to the characterization of the convex set of probabilities dominated by a possibility measure on a finite set. An upper bound for the number of extreme points is derived.
On Markov Properties of Limit Order Markets
Šmíd, Martin
2006 - English
We formulate a rigorousmathematical description of a limit order market (we describe the state of the market by means of atomic measures). Further, we state sufficient conditions for the evolution of the market to be Markov; in particular, all the agents should either trade randomly or use strategies dependent only on the current state of the market and on external random elements. V práci je fomulován přesný matematický popis trhu s limitními objednávkami (stav trhu je popisován pomocí atomické míry). Dále jsou formulovány postačující podmínky pro to, aby byl vývoj trhu Markovský: tato vlastnost je garantována tehdy, pokud agenti buď jednají zcela náhodně nebo nebo jsou jejich akce závislé pouze na aktuálním stavu trhu a externím náhodném elementu.
Keywords:
limit order markets; marked point processes; stochastic processes
Available at various institutes of the ASCR
On Markov Properties of Limit Order Markets
We formulate a rigorousmathematical description of a limit order market (we describe the state of the market by means of atomic measures). Further, we state sufficient conditions for the evolution of ...
Tracking the Growth of Filamentous Fungi by Means of the Morphological Skeleton
Sedlář, J.; Flusser, Jan; Sedlářová, M.
2006 - English
Tracking the Growth of Filamentous Fungi by Means of the Morphological Skeleton Sledování růstu vláknitých hub pomocí morfologické kostry
Keywords:
growth tracking
Available at various institutes of the ASCR
Tracking the Growth of Filamentous Fungi by Means of the Morphological Skeleton
Tracking the Growth of Filamentous Fungi by Means of the Morphological Skeleton
Sledování růstu vláknitých hub pomocí morfologické kostry
Recognition of Partially Occluded Objects After Affine Transformation
Horáček, Ondřej
2006 - English
A method dealing with recognition of partially occluded and affine transformed binary objects is presented. The method is designed for objects with smooth curved boundary. It divides an object into affine-invariant parts and uses modified radial vector for the description of parts. Object recognition is performed via string matching in the space of radial vectors.
Keywords:
Affine transformation; recognition; partially occluded object
Available at various institutes of the ASCR
Recognition of Partially Occluded Objects After Affine Transformation
A method dealing with recognition of partially occluded and affine transformed binary objects is presented. The method is designed for objects with smooth curved boundary. It divides an object into ...
Advanced Algorithms for Equalization on ADSL Channel
Mazanec, Tomáš
2006 - English
Digital subscriber line modems equalize response of line (channel) to fight with interferences and line dispersion which down the bit-rate of transmission. Main equalization principle is “Channel shortening” which is the base for time domain equalizers (TEQ). Many TEQ algorithms have been already proposed, mainly in theoretical sense. With growth of hardware performance, more complex methods can be applied in practice. Thus a proper simulations and fast implementations are necessary to achieve this. We developed a toolbox which implements some simple and advanced time domain equalization algorithms and simulates ADSL transmission line with reference channels (loops). This paper introduces implementation details and comparison of selected equalization algorithms. DSL modem ekvalizuje odezvu přenosové linky (kanálu) tak, aby potlačoval rozptyl a interference, které snižují přenosovou kapacitu linky. Základním principem ekvalizace ADSL a také ekvalizérů v časové oblasti (TEQ) je tzv. "zkracování kanálu". Mnoho TEQ algoritmů bylo již publikováno, ale převážně v teoretické rovině. Růst výkonu výpočetních prostředků dovoluje aplikovat složitější algoritmy, ale je třeba nejprve důkladného testování a simulací těchto algoritmů. Vyvinuli jsme toolbox, který implementuje vybrané algoritmy TEQ a simuluje jejich funkčnost v modelu přenosového řetězce ADSL za použití referenčních ADSL kanálů. Tento článek se zabývá detaily implementace vybraných TEQ algoritmů a v závěru uvádí jejich porovnání.
Keywords:
ADSL equalization; channel shortening; time domain equalizer (TEQ)
Available at various institutes of the ASCR
Advanced Algorithms for Equalization on ADSL Channel
Digital subscriber line modems equalize response of line (channel) to fight with interferences and line dispersion which down the bit-rate of transmission. Main equalization principle is “Channel ...
Duals and thinnings of some relatives of the contact process
Swart, Jan M.
2006 - English
This paper considers contact processes with additional voter model dynamics. For such models, results of Lloyd and Sudbury can be applied to find a self-duality, as well as dualities and thinning relations with systems of random walks with annihilation, branching, coalescence, and deaths. We show that similar relations, which are known from the literature for certain interacting SDE's, can be derived as local mean field limits of the relations of Lloyd and Sudbury. V článku je uvažovány kontaktní procesy s přidavnou dynamikou modelu voličů. Výsledky Lloyda a Sudburyho mohou být aplikovany na tyto modely k nalezení auto-duality, jakož i relací duality a zúžení vzhledem k systémům náhodných procházek s anihilací, větvením, splýváním a úmrtími. Ukázali jsme, že podobné relace, známé z literatury pro některé interagující SDR, mohou být odvozeny jako lokální limity středního pole z Lloydových a Sudburyho relací.
Keywords:
duality; thinning; contact process
Available at various institutes of the ASCR
Duals and thinnings of some relatives of the contact process
This paper considers contact processes with additional voter model dynamics. For such models, results of Lloyd and Sudbury can be applied to find a self-duality, as well as dualities and thinning ...
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