423 research outputs found

    Algorithmic Complexity of Financial Motions

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    We survey the main applications of algorithmic (Kolmogorov) complexity to the problem of price dynamics in financial markets. We stress the differences between these works and put forward a general algorithmic framework in order to highlight its potential for financial data analysis. This framework is “general" in the sense that it is not constructed on the common assumption that price variations are predominantly stochastic in nature.algorithmic information theory; Kolmogorov complexity; financial returns; market efficiency; compression algorithms; information theory; randomness; price movements; algorithmic probability

    Structural Average Case Complexity

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    AbstractLevin introduced an average-case complexity measure, based on a notion of “polynomial on average,” and defined “average-case polynomial-time many-one reducibility” among randomized decision problems. We generalize his notions of average-case complexity classes, Random-NP and Average-P. Ben-Davidet al. use the notation of 〈C, F〉 to denote the set of randomized decision problems (L, μ) such thatLis a set in C andμis a probability density function in F. This paper introduces Aver〈C, F〉 as the class of randomized decision problems (L, μ) such thatLis computed by a type-C machine onμ-average andμis a density function in F. These notations capture all known average-case complexity classes as, for example, Random-NP= 〈NP, P-comp〉 and Average-P=Aver〈P, ∗〉, where P-comp denotes the set of density functions whose distributions are computable in polynomial time, and ∗ denotes the set of all density functions. Mainly studied are polynomial-time reductions between randomized decision problems: many–one, deterministic Turing and nondeterministic Turing reductions and the average-case versions of them. Based on these reducibilities, structural properties of average-case complexity classes are discussed. We give average-case analogues of concepts in worst-case complexity theory; in particular, the polynomial time hierarchy and Turing self-reducibility, and we show that all known complete sets for Random-NP are Turing self-reducible. A new notion of “real polynomial-time computations” is introduced based on average polynomial-time computations for arbitrary distributions from a fixed set, and it is used to characterize the worst-case complexity classesΔpkandΣpkof the polynomial-time hierarchy

    Book Reviews

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    Naturalism, the new journalism, and the tradition of the modern American fact-based homicide novel

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    With the 1965 publication of In Cold Blood, Truman Capote announced the creation of a new literary genre: the "nonfiction novel." Because Capote's book inspired a succession of "copycats," many critics have traced a genre from it. But Capote's book is the culmination, not the commencement, of using fictional techniques to write about real murder cases. Capote's deterministic treatment of the protagonist, his use of reporting techniques, and his focus on the murderers (rather than the victims, police, or plot) reveal the book's Naturalistic roots. In Cold Blood's earliest ancestors in American literature are Frank Norris's McTeague and Theodore Dreiser' s An American Tragedy. American Naturalists such as Norris and Dreiser were directly influenced by Emile Zola and the natural philosophy of Charles Darwin and Herbert Spencer. For generations, Naturalism influenced authors of fact-based homicide novels, among them William Faulkner (Light in August), James M. Cain (The Postman Always Rings Twice), Richard Wright (Native Son), and Meyer Levin (Compulsion). The writer of the fact-based homicide novel characterizes the killer in such a way that the reader understands the circumstances which led to the crime and sympathizes with the protagonist

    Inquiries into the lexicon-syntax relations in Basque

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    Index:- Foreword. B. Oyharçabal.- Morphosyntactic disambiguation and shallow parsing in computational processing in Basque. I. Aduriz, A. Díaz de Ilarraza.- The transitivity of borrowed verbs in Basque: an outline. X. Alberdi.- Patrixa: a unification-based parser for Basque and its application to the automatic analysis of verbs. I. Aldezabal, M. J. Aranzabe, A. Atutxa, K.Gojenola, K, Sarasola.- Learning argument/adjunct distinction for Basque. I. Aldezabal, M. J. Aranzabe, K. Gojenola, K, Sarasola, A. Atutxa.- Analyzing verbal subcategorization aimed at its computation application. I. Aldezabal, P. Goenaga.- Automatic extraction of verb paterns from “hauta-lanerako euskal hiztegia”. J. M. Arriola, X. Artola, A. Soroa.- The case of an enlightening, provoking an admirable Basque derivational siffux with implications for the theory of argument structure. X. Artiagoitia.- Verb-deriving processes in Basque. J. C. Odriozola.- Lexical causatives and causative alternation in Basque. B. Oyharçabal.- Causation and semantic control; diagnosis of incorrect use in minorized languages. I. Zabala.- Subject index.- Contributions
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