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Tytuł:
Duality theory for state-constrained control problems governed by a first order PDE system
Autorzy:
Pickenhain, S.
Powiązania:
https://bibliotekanauki.pl/articles/205959.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
teoria dwoistości
control problems with multiple integrals
duality theory
necessary and sufficient optimality conditions
Opis:
In this paper we prove weak and strong duality results for optimal control problems with multiple integrals, first-order partial differential equations and state constraints. We formulate conditions under which the sequence of canonical variables [y^epsilon] in the [epsilon]-maximum principle, proved in Pickenhain and Wagner (2000), form a maximizing sequence in the dual problem.
Źródło:
Control and Cybernetics; 2002, 31, 3; 833-845
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimality Theoretic Analysis of Non-Rhoticity in English
Autorzy:
Ostalski, Przemysław
Powiązania:
https://bibliotekanauki.pl/articles/620685.pdf
Data publikacji:
2007-01-01
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Phonology
Optimality Theory
Rhoticity
Accents of English
Hiatus
Opis:
The paper intends to describe various rhotic phenomena within a unified phonological framework of Optimality Theory. This description encompasses "standard" rhotic phenomena, such as linking and intrusive r. Additionally both hyper- and hypo-rhoticity are discussed. The paper serves primarily two points. First, it proves practical workability of constraint mechanism, as proposed by Optimality Theory. Second, it presents an integrated account of seemingly unrelated phonological facts observed in various accents of English.The paper discusses also previous accounts of rhoticity in English in connection with an attempt of presenting solid evidence for the choice of underlying forms. Furthermore two competing theoretical descriptions of rhotic insertions (epenthesis vs. gliding/spreading) are compared and evaluated. Finally, the spreading account is shown to be formally superior to the anti-hiatus approach.Moreover, the paper demonstrates a way in which r-liaison might be incorporated in the synchronic grammar of non-rhotic accents. Simply put, r-liaison could be perceived as another instantiation of VSpread conspiracy, where vowels tend to spread their melodic content onto the following segments. The OT machinery was also employed to account for the differences between various subtypes of non-rhotic accents, in terms of re-ranking of several constraints. The peculiar phenomena of hyper-rhoticity have, too, been demonstrated to fit the proposal.
Źródło:
Research in Language; 2007, 5; 109-133
1731-7533
Pojawia się w:
Research in Language
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Optimality Theory Analysis of Velar Softening in English
Autorzy:
Radomski, Marek
Powiązania:
https://bibliotekanauki.pl/articles/605910.pdf
Data publikacji:
2010
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Optimality Theory
velar softening
Opis:
The goal of this article is to analyse the phenomenon of Velar Softening in English within the nonderivational framework of Optimality Theory. It is argued that earlier approaches, including the traditional OT model which incorporates purely phonological constraints and a single-UR approach to allomorphy, fail to account for the process in question in a satisfactory manner. Instead, it is claimed that Velar Softening can be explained in terms of the OT model which adopts a multiple-input view on allomorphy as well as the idea of morpho-phonological constraints. Thus, the paper offers a novel and more adequate analysis of this process.
Źródło:
Lublin Studies in Modern Languages and Literature; 2010, 34; 65-80
0137-4699
Pojawia się w:
Lublin Studies in Modern Languages and Literature
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cluster Reduction from the Perspective of Articulatory Phonology: A Case of Polish Affricates
Autorzy:
Zembrzuski, Dariusz
Powiązania:
https://bibliotekanauki.pl/articles/888760.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Warszawski. Wydawnictwa Uniwersytetu Warszawskiego
Tematy:
affricates
reduction
degemination
homorganic clusters
Articulatory Phonology
Optimality Theory
Opis:
Sequences of affricates followed by homorganic fricatives are simplified to affricates in preconsonantal context in Polish. Similarly, geminates are reduced in this environment, which results from the fact that length distinction is not licensed in this position. Despite common motivation, the two types of reduction cannot be handled by the same rule. Unlike geminates, sequences of affricates and fricatives cannot undergo the process of degemination. However, the simplification is motivated by the phonetic adjacency of identical fricative portions, which leads to a conclusion that the rule belongs to the domain of phonetic implementation. Therefore, an Optimality Theoretic solution is aided by the theory of Articulatory Phonology, which can capture the phonetic facts of reduction processes.
Źródło:
Anglica. An International Journal of English Studies; 2014, 23/2; 15-32
0860-5734
Pojawia się w:
Anglica. An International Journal of English Studies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Handling equivalence classes of Optimality-Theoretic comparative tableaux
Autorzy:
Yanovich, I.
Powiązania:
https://bibliotekanauki.pl/articles/103897.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Podstaw Informatyki PAN
Tematy:
Optimality Theory
ERC set
tableau equivalence
normal form
equivalence-preserving transformations
Opis:
Many Optimality-Theoretic tableaux contain exactly the same information, and equivalence-preserving operations on them have been an object of study for some two decades. This paper shows that several of the operations proposed in the earlier literature together are actually enough to express any possible equivalence-preserving transformation. Moreover, every equivalence class of comparative tableaux (equivalently, of sets of Elementary Ranking Conditions, or ERC sets) has a unique and computable normal form that can be derived using those elementary operations in polynomial time. Any equivalence-preserving operation on comparative tableaux (ERC sets) is thus computable, and normal form tableaux may therefore represent their equivalence classes without loss of generality. Optimality Theory (OT) is a grammatical formalism based on constraint competition, formulated by Prince and Smolensky (1993) (later published as Prince and Smolensky (2004)). OT is especially popular in phonology, and is used to some extent in other branches of linguistics. In OT, a set of competing output forms {Output1, Output2,…} is generated by machine Gen for the underlying form Input. Each pair N is then evaluated against a set of constraints Con. The grammar of a particular language is modeled as an ordering of the universal set of constraints Con which determines the winning input-output pair for each Input: an input-output pair α = N wins over another pair β = M when α incurs fewer violations than β in the most highly ranked constraint where α and β differ. The input-output pairs that do not lose to any other pair are declared grammatical. The OT formalism expresses two important intuitions regarding how languages might function. First, it easily captures conditions of the form “try A; if impossible, try B; if also impossible, resort to C”, which seem to frequently occur in natural language. Second, OT allows for elegant modeling of cross-linguistic variation and language change in terms of re-ranking of a universal set of constraints. The information that a given dataset contributes constrains the possible rankings of constraints. Such information may be represented in the form of a comparative tableau (Prince 2000) or the corresponding set of Elementary Ranking Conditions, or ERC set (Prince 2002). In this paper, I present an incremental step completing the development of a full theory of equivalence classes of comparative OT tableaux, or, equivalently, ERC sets. Earlier work, especially that of Hayes (1997), Prince (2000), Prince (2002), Brasoveanu and Prince (2011)1, and Prince (2006), has established a number of results concerning how one may transform the information in an OT tableau without loss. What has not yet been done in this line of research is to establish the limits of operations that preserve equivalence. For example, the following natural question has not been answered: given two arbitrary comparative tableaux or ERC sets, can we determine whether they contain identical information?2 The present paper fills this gap: I show that any (finite) comparative tableau may be (computably, and actually quite efficiently) transformed into a normal form, which is unique for the whole equivalence class. Moreover, this transformation is possible by applying a sequence of a set of five elementary operations and their inverses already introduced in the literature. Only two of those are non-trivial, so a very small and simple set turns out to be sufficient to capture all the diversity of possible equivalence-preserving operations on tableaux. Normalization gives us a handle on equivalence classes of tableaux/ERC sets, as we show that each equivalence class contains exactly one normal form tableau. The normal form may therefore serve as the class’s representative. A test for equivalence of arbitrary tableaux (computable for finite tableaux) involves normalizing the input tableaux and comparing the resulting normal form tableaux. The original tableaux are equivalent if and only if their normal forms are identical. Thanks to the normal form theorem proved in the present paper, the space of all possible equivalence-preserving operations may be enumerated, and the same is true of the members of which equivalence class.
Źródło:
Journal of Language Modelling; 2014, 2, 2; 285-306
2299-856X
2299-8470
Pojawia się w:
Journal of Language Modelling
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of Ineffectiveness Arising in “Investor-government” Relations
Autorzy:
Sokolovskyi, Dmytro B.
Sokolovska, Olena V.
Powiązania:
https://bibliotekanauki.pl/articles/417302.pdf
Data publikacji:
2015-09-15
Wydawca:
Akademia Leona Koźmińskiego w Warszawie
Tematy:
investors
Pareto-optimality
modeling
Game Theory
Nash equilibrium
Government
economic behavior
Opis:
Purpose: This article deals with the problem of forming Pareto non-optimal norms of mutual behavior of investors and government in the process of decision-making related to financing designed to reduce risks in investment activity. Methodology: Considering the interdependent type (nature) of interactions between related parties, game theory tools were used to model such interactions. Much attention was directed to search for� parameters of interaction leading to certain Nash equilibriums in pure strategies. The formal results obtained with the model were verified by statistical analysis. Findings: Analysis showed that the rational behavior of related parties can lead to unexpected results. Powerful investors will aim to work in socially-oriented economies, whereas primarily small investors will operate in most liberal economies with a�minimum tax burden but with a�higher level of risk. As for governments’ behaviors, the images are the same: small economies tend to liberalize their tax systems and to secure investment faster than powerful ones. Empirical verification based on statistical data of groups of countries generally confirmed the conclusions. These formal and logical conclusions were from statistical analysis of 124 countries divided into 5 groups: OECD countries, post-socialist countries, Latin American countries, APAC countries and ACP countries. Provided that the more powerful ones are covered economies, there was stronger interdependence between the size of economies and tax burden and also between total investment and tax burden, where this dependence is positive. Originality: The results obtained used Nash equilibriums in pure strategies as models of behavioral norms to define behaviors of related parties and also to explain assumptions concerning the behaviors of investors and government.
Źródło:
Management and Business Administration. Central Europe; 2015, 3; 47-70
2084-3356
Pojawia się w:
Management and Business Administration. Central Europe
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Interaction of Yer Deletion and Nasal Assimilation in Optimality Theory1
Autorzy:
Iwan, Karolina
Powiązania:
https://bibliotekanauki.pl/articles/620868.pdf
Data publikacji:
2015-06-01
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Optimality Theory
Derivational Optimality Theory
opacity
Opis:
The problem of opacity presents a challenge for generative phonology. This paper examines the process of Nasal Assimilation in Polish rendered opaque by the process of Vowel Deletion in Optimality Theory (Prince & Smolensky, 1993), which currently is a dominating model for phonological analysis. The opaque interaction of the two processes exposes the inadequacy of standard Optimality Theory arising from the fact that standard OT is a non-derivational theory. It is argued that only by introducing intermediate levels can Optimality Theory deal with complex cases of opaque interactions.
Źródło:
Research in Language; 2015, 13, 2; 163-179
1731-7533
Pojawia się w:
Research in Language
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Neutralization in Aztec Phonology – the Case of Classical Nahuatl Nasals
Autorzy:
Kuźmicki, Michał
Powiązania:
https://bibliotekanauki.pl/articles/620711.pdf
Data publikacji:
2016-09-01
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Classical Nahuatl
derivational optimality theory (DOT)
coda neutralization
nasal assimilation
Opis:
This article investigates nasal assimilation in Classical Nahuatl. The distribution of nasal consonants is shown to be the result of coda neutralization. It is argued that generalizations made for root and word level are disproportionate and cannot be explained through the means of rule-based phonology. It is shown that the process responsible for nasal distribution can only be accounted for by introducing derivational levels in Optimality Theory
Źródło:
Research in Language; 2016, 14, 3; 263-295
1731-7533
Pojawia się w:
Research in Language
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finding the Pareto optimal equitable allocation of homogeneous divisible goods among three players
Autorzy:
Dall'Aglio, M.
Di Luca, C.
Milone, L.
Powiązania:
https://bibliotekanauki.pl/articles/969068.pdf
Data publikacji:
2017
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
fair division
Pareto optimality
graph theory
adjusted winner procedure
Opis:
We consider the allocation of a finite number of homogeneous divisible items among three players. Under the assumption that each player assigns a positive value to every item, we develop a simple algorithm that returns a Pareto optimal and equitable allocation. This is based on the tight relationship between two geometric objects of fair division: The Individual Pieces Set (IPS) and the Radon–Nykodim Set (RNS). The algorithm can be considered as an extension of the Adjusted Winner procedure by Brams and Taylor to the three-player case, without the guarantee of envy-freeness.
Źródło:
Operations Research and Decisions; 2017, 27, 3; 35-50
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nasal vowels in Kurpian
Samogłoski nosowe w dialekcie Kurpiowskim
Autorzy:
Rubach, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/2166126.pdf
Data publikacji:
2017-12-15
Wydawca:
Ostrołęckie Towarzystwo Naukowe
Tematy:
Kurpian phonology
Polish phonology
nasal vowels
Derivational
Optimality Theory
fonologia kurpiowska
fonologia polska
samogłoski nosowe
derywacyjna teoria optymalności
Opis:
This paper investigates the problem of nasal vowels in Kurpian. It is argued that Kurpian nasal schwa, as in gę̈ sty, comes historically from lax nasal ą [ã] that was used in Polish in the 15th c. Kurpian tense [õ], as in wąsy, comes historically from tense nasal ą [ɑ̃] that occurred in Polish in the 16th c. Nasal vowels and their alternations in modern Kurpian are analyzed in terms of Derivational Optimality Theory. Noteworthy here are the processes of Nasal Shift and Nasal Decomposition.
Niniejszy artykuł dowodzi, że kurpiowskie nosowe szwa, jak np. w gę̈ sty, zapisywane literą ę̈, pochodzi historycznie z samogłoski krótkiej ą, wymawianej jako nosowe [a], czyli jako [ã], w polszczyźnie XV w. Natomiast kurpiowskie nosowe [õ], jak np. w wąs, zapisywane literą ą pochodzi z samogłoski długiej ą, wymawianej jako nosowe å, czyli jako [ɑ̃ ], w polszczyźnie XVI w. Dzisiejsze kurpiowskie nosowe szwa, lepiej niż ę w języku ogólnopolskim, odzwierciedla stan literackiej polszczyzny mówionej w XVI w. Analiza formalna przeprowadzona w ramach teorii fonologii generatywnej stawia hipotezę, że nie tylko w kurpiowskim, lecz także w polszczyźnie literackiej XVII w. ą wymawiane było jako [õ] z zamkniętym o, a n ie jako [ɔ̃] z otwartym o, tak jak ma to miejsce w dzisiejszym języku ogólnopolskim. Ogólnie rzecz biorąc, odnotować trzeba, że występuje uderzające podobieństwo pomiędzy system samogłoskowym dzisiejszej kurpiowszczyzny a systemem samogłoskowym polszczyzny literackiej XVI w., por. punkty (1) i (6). W dalszej części artykułu przeprowadzona jest analiza alternacji obejmujących samogłoski nosowe w dzisiejszej kurpiowszczyźnie.
Źródło:
Zeszyty Naukowe Ostrołęckiego Towarzystwa Naukowego; 2017, Zeszyt, XXXI; 57-72
0860-9608
Pojawia się w:
Zeszyty Naukowe Ostrołęckiego Towarzystwa Naukowego
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Assessment of the historical policy mixes for Poland using the game approach
Autorzy:
Kruś, L.
Woroniecka-Leciejewicz, I.
Powiązania:
https://bibliotekanauki.pl/articles/205620.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
game theory
economic modeling
policy-mix
decision analysis
Nash equilibrium
Pareto optimality
Opis:
The study here presented pertains to the analysis of mutual interactions of the monetary and fiscal policies in the case of Poland. The historical policies carried out during different periods of time and their economic effects are compared with the possible strategies, obtained from the analysis of the proposed monetaryfiscal game. In the study, the methods of non-cooperative game theory are combined with macroeconomic modeling. The respective game is formulated for monetary and fiscal authorities as players. Strategies of these players refer to the respective instruments of their policies: the real interest rate and the budget deficit in relation to GDP. Payoffs include inflation and GDP growth, respectively. The payoffs are calculated using a recursive macroeconomic model estimated for the Polish economy. The model describes influences of the instruments of the monetary and fiscal policies on the state of the economy. The best response strategies, the Nash equilibria and Pareto optimality are analyzed. Changes of the policies towards the more restrictive or more expansive ones and their effects in comparison to the historically applied are discussed. This is performed for two different time periods – the time of recovery after 2004 and the time of the global financial crisis after 2008.
Źródło:
Control and Cybernetics; 2018, 47, 3; 277-300
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Compensatory Lengthening in OT and DOT: Loss of Dorsal Fricatives in Middle or Early Modern English
Autorzy:
Kleban, Grzegorz
Powiązania:
https://bibliotekanauki.pl/articles/973911.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Warszawski. Wydawnictwa Uniwersytetu Warszawskiego
Tematy:
Compensatory Lengthening,
moraic phonology,
Optimality Theory,
Derivational Optimality Theory
Opis:
The loss of dorsal fricatives in English held significant consequences for the adjacent tautosyllabic vowels, which underwent Compensatory Lengthening in order to preserve a syllable weight. While the process appears to be regular in descriptive terms, its evaluation handled within standard Optimality Theory highlights the ineffectiveness of the framework to parse both the segment deletion and two weight-related processes: Weight- by-Position and vowel lengthening due to mora preservation. As Optimality Theory has failed to analyse the data in a compelling manner, the introduction of derivation, benefit- ting from the legacy of Lexical Phonology, seems inevitable. The working solution is provided by Derivational Optimality Theory, which assumes a restrictive use of intermediate stages throughout the evaluation.
Źródło:
Anglica. An International Journal of English Studies; 2019, 28/2; 47-61
0860-5734
Pojawia się w:
Anglica. An International Journal of English Studies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Finite-state Optimality Theory : non-rationality of Harmonic Serialism
Autorzy:
Hao, Yiding
Powiązania:
https://bibliotekanauki.pl/articles/103903.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Podstaw Informatyki PAN
Tematy:
optimality theory
harmonic serialism
phonology
finite-state
strictly local
subregular
Opis:
This paper analyzes the language-theoretic complexity of Harmonic Serialism (HS), a derivational variant of Optimality Theory. I show that HS can generate non-rational relations using strictly local markedness constraints, proving the “result” of Hao (2017), that HS is rational under those assumptions, to be incorrect. This is possible because deletions performed in a particular order have the ability to enforce nesting dependencies over long distances. I argue that coordinated deletions form a canonical characterization of non-rational relations definable in HS.
Źródło:
Journal of Language Modelling; 2019, 7, 2; 49-99
2299-856X
2299-8470
Pojawia się w:
Journal of Language Modelling
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Segmental adaptation of Polish voiceless affricates in CC consonant clusters by native speakers of English
Autorzy:
Radomski, Marek
Powiązania:
https://bibliotekanauki.pl/articles/2051103.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Polish voiceless affricates
loanword adaptation
Optimality Theory
consonant clusters
Opis:
The article deals with the patterns of segmental adaptation of Polish voiceless affricates in initial and final CC (consonant + consonant) clusters by native speakers of English. The data have been collected in an online loanword adaptation experiment in which 30 native speakers of Southern British English reproduced Polish words containing such sequences. The major problem posed by the data is the divergent adaptation of the post-alveolar /t͡ʂ/ vs. the pre-palatal /t͡ɕ/, with the former substituted mainly with the coronal plosive [t] and the latter realised as the palato-alveolar affricate [t͡ʃ]. It is argued that these patterns of nativisation are due to the highlyranked IDENT-IO[dist] constraint, which militates against the modifi cation in the value of the feature [distributed]. Furthermore, it is demonstrated that the experimental results provide evidence in favour of the fundamental assumptions underlying the phonological approach to loan assimilation, namely the phonological input view as well as the faithful perception view.
Źródło:
Linguistica Silesiana; 2019, 40; 121-137
0208-4228
Pojawia się w:
Linguistica Silesiana
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Vowel System of Podhale Goralian
Autorzy:
Rubach, Jerzy
Łuszczek, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/1026701.pdf
Data publikacji:
2019-06-30
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
Optimality Theory
Podhale Goralian
phonology
Polish dialects
Opis:
This paper is a report on the phonological research done in the past two years investigating Podhale Goralian. The data are drawn from our informants in Dzianisz. The paper establishes the system of surface contrasts in Goralian and identifies instances of complementary distribution. It is claimed that the renowned Podhale Archaism is no longer represented by the vowel [i]. Rather, the vowel has retracted to the central vowel [ɨ]. The original [ɨ], on the other hand, has lowered and fronted and is now best regarded as tense [e]. These transitions of vowels pose challenges for a phonological analysis. A sample of such analysis (Final Tensing) is shown in the framework of Optimality Theory.
Źródło:
Research in Language; 2019, 17, 2; 105-126
1731-7533
Pojawia się w:
Research in Language
Dostawca treści:
Biblioteka Nauki
Artykuł
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