34,915 research outputs found
Machine-learning the Sato-Tate conjecture
No full textWe apply some of the latest techniques from machine-learning to the arithmetic of hyperelliptic curves. More precisely we show that, with impressive accuracy and confidence (between 99 and 100 percent precision), and in very short time (matter of seconds on an ordinary laptop), a Bayesian classifier can distinguish between Sato–Tate groups given a small number of Euler factors for the L-function. Our observations are in keeping with the Sato-Tate conjecture for curves of low genus. For elliptic curves, this amounts to distinguishing generic curves (with Sato–Tate group SU(2)) from those with complex multiplication. In genus 2, a principal component analysis is observed to separate the generic Sato–Tate group USp(4) from the non-generic groups. Furthermore in this case, for which there are many more non-generic possibilities than in the case of elliptic curves, we demonstrate an accurate characterisation of several Sato–Tate groups with the same identity component. Throughout, our observations are verified using known results from the literature and the data available in the LMFDB. The results in this paper suggest that a machine can be trained to learn the Sato–Tate distributions and may be able to classify curves efficiently
Preprint: Machine-Learning the Sato-Tate Conjecture
No full textWe apply some of the latest techniques from machine-learning to the arithmetic of hyperelliptic curves. More precisely we show that, with impressive accuracy and confidence (between 99 and 100 percent precision), and in very short time (matter of seconds on an ordinary laptop), a Bayesian classifier can distinguish between Sato-Tate groups given a small number of Euler factors for the L-function. Our observations are in keeping with the Sato-Tate conjecture for curves of low genus. For elliptic curves, this amounts to distinguishing generic curves (with Sato-Tate group SU(2)) from those with complex multiplication. In genus 2, a principal component analysis is observed to separate the generic Sato-Tate group USp(4) from the non-generic groups. Furthermore in this case, for which there are many more non-generic possibilities than in the case of elliptic curves, we demonstrate an accurate characterisation of several Sato-Tate groups with the same identity component. Throughout, our observations are verified using known results from the literature and the data available in the LMFDB. The results in this paper suggest that a machine can be trained to learn the Sato-Tate distributions and may be able to classify curves much more efficiently than the methods available in the literature
Joseph Masahiro Sato: interviews on May 9 and 16, 1984
No full textTranscript (typescript, 26 pages) of two interviews with Joseph Masahiro Sato, a Japanese-American living in Utah in 1984. Mr. Sato (b. 1900) recalls his childhood in Japan, working in Tokyo, and getting a job on an ocean liner, then leaving ship in Texas to work there and in Denver, Colorad
"Robustness of the Separating Information Maximum Likelihood Estimation of Realized Volatility with Micro-Market Noise"
No full textFor estimating the realized volatility and covariance by using high frequency data, Kunitomo and Sato (2008a,b) have proposed the Separating Information Maximum Likelihood (SIML) method when there are micro-market noises. The SIML estimator has reasonable asymptotic properties; it is consistent and it has the asymptotic normality (or the stable convergence in the general case) when the sample size is large under general conditions including non-Gaussian processes and volatility models. We also show that the SIML estimator has the asymptotic robustness in the sense that it is consistent and it has the asymptotic normality when there are autocorrelations in the market noise terms and there are endogenous correlations between the signal and noise terms.
Specifieke Aspecten TunnelOntwerp (SATO)
No full textSATO omvat aspecten van het ontwerp van tunnels. In SATO wordt per deel op een aspect van het ontwerp van tunnels en aquaducten ingegaan. Deel 2 omvat de dwars- en langsprofielen in tunnels en aquaducten. In deel 3 worden bouwmethoden omschreven en deel 4 omvat toegepaste rekenmethoden. Details van tunnels zijn in deel 5 vastgelegd, kostenramingen in deel 6. De opbouw en eisen aan elektromechanische installaties zijn in deel 7 van SATO opgenomen. Tot slot zijn de aspecten van afgezonken tunnels tijdens de uitvoering in deel 8 vastgelegd
Valsiner, J., Marsico, G., Chaudhary, N., Sato, T. & Dazzani, V. (2015). What is changing in psychology? In J., Valsiner, G., Marsico, N. Chaudhary, T., Sato, V., Dazzani, (Eds). (2016). Psychology as a Science of Human Being: The Yokohama Manifesto, Annals of Theoretical Psychology, 13, (p. v-vii), Geneve, Switzerland: Springer
No full textWe think that psychology as science is – once again—at a crossroads. As it has happened recurrently in the past it is about to lose its appropriate focus—that of the subjective domain of the human being (the Psyche) that is an immediate component in the arena of living—involving all the activities of being human. Being ourselves—as human beings—involves happiness and sorrow, hopes and their failures, endless searches of “who am I” and developing sellable tools for helping others as well as destroying them. Both construction and destruction have been parts of being human—poetry and cruelty go hand in hand in our lives.
The human Psyche is complex, subjective, meaningful, and mysterious. As such it cannot be reduced to explanations that consider it accounted for by causal mechanisms of lower levels of organization. Thus, the efforts to reduce higher level psychological functions to physiological or genetic “causes” violates the hierarchical systemic structure of the totality of human beings. That system is organized at multiple levels—all of which are related, yet in ways that is functionally non-causal. Each level is simultaneously participating in the organization of adjacent levels as well as buffering against the potential malfunctions of these levels. The result is a highly resilient open system that deends on the relations with the environment—yet it is not in any way “caused” by direct environmental “influences”. In a similar vein, all higher levels of organization of the psychological phenomena are related with physiological and genetic levels—but not determined by them
SimpleBounce: A simple package for the false vacuum decay
No full textWe present SimpleBounce, a C++ package for finding the bounce solution for the false vacuum decay. This package is based on a flow equation which is proposed by the author R. Sato (2020) and solves Coleman–Glaser–Martin’s reduced problem (S. R. Coleman et al. 1978): the minimization problem of the kinetic energy while fixing the potential energy. The bounce configuration is obtained by a scale transformation of the solution of this problem. For models with 1–8 scalar field(s), the bounce action can be calculated with O(0.1) % accuracy in O(0.1) s. This package is available at http://github.com/rsato64/SimpleBounce
Elements of Wonder: The Public Art of Norie Sato
No full textCreating over 45 site-integrated public art installations since 1982, Norie Sato (Japanese-American, b. 1949) strives to add meaning and human touch to the built environment and considers edges, transitions, and connections as important as the center. Her public art installations are located around the United States, with five site-specific installations in Iowa. Sato has created three major installations at Iowa State University - One, Now, All (1999-2000) in the Palmer Building, e+l+e+m+e+n+t+a+l (2010-2012) in Hach Hall, and most recently, The Fifth Muse (2015-2016) in Marston Hall. This exhibition of selected conceptual drawings, models and sculptural elements invites the viewer to explore Sato’s public art projects from conceptualization to fabrication and final installation.</p
Supercongruences Arising from Ramanujan-Sato Series
No full textRecently, the authors with Lea Beneish established a recipe for constructing Ramanujan-Sato series for 1/π, and used this to construct 11 explicit examples of Ramanujan-Sato series arising from modular forms for arithmetic triangle groups of non-compact type. Here, we use work of Chisholm, Deines, Long, Nebe and the third author to prove a general p-adic supercongruence theorem through an explicit connection to CM hypergeometric elliptic curves that provides p-adic analogues of these Ramanujan-Sato series. We further use this theorem to construct explicit examples related to each of our explicit Ramanujan-Sato series examples
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