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Probabilistic Boolean networks: a rule-based uncertainty model for gene regulatory networks

by Ilya Shmulevich, Edward R. Dougherty, Seungchan Kim, Wei Zhang , 2002
"... Motivation: Our goal is to construct a model for genetic regulatory networks such that the model class: (i ) incorporates rule-based dependencies between genes; (ii ) allows the systematic study of global network dynamics; (iii ) is able to cope with uncertainty, both in the data and the model selec ..."
Abstract - Cited by 391 (59 self) - Add to MetaCart
Motivation: Our goal is to construct a model for genetic regulatory networks such that the model class: (i ) incorporates rule-based dependencies between genes; (ii ) allows the systematic study of global network dynamics; (iii ) is able to cope with uncertainty, both in the data and the model

UNCERTAINTY MODELS FOR

by I. R. Goodman, H. T. Nguyen, )lrt Udn, R. Goodman, I T'. Nguyen, Repoht Numb)t P, R Goda, I. R. Goodman
"... Public reporling burden for this coicci on of information is ttira ied to average 1 hour per res~ponrse Includin th ini Ixr fiung iflCirj. i,, i 1 e~ifIig 1,.la U L.i ' arlT maintalnildthe data needed and completing.,evkn the43 colection ofInfomation Send comments regarding ahi buvidncma orn an ..."
Abstract - Add to MetaCart
Public reporling burden for this coicci on of information is ttira ied to average 1 hour per res~ponrse Includin th ini Ixr fiung iflCirj. i,, i 1 e~ifIig 1,.la U L.i ' arlT maintalnildthe data needed and completing.,evkn the43 colection ofInfomation Send comments regarding ahi buvidncma orn an orr,rf of IN tollIeillon! 3n!,iILS and to the Oflce oif Manaciempnt arnd RuIge! R-iper VolrReductIon ProlCt (0704 0188). waitlIr '.1 DC 20CS3

Robust Uncertainty Principles: Exact Signal Reconstruction From Highly Incomplete Frequency Information

by Emmanuel J. Candès, Justin Romberg, Terence Tao , 2006
"... This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal and a randomly chosen set of frequencies. Is it possible to reconstruct from the partial knowledge of its Fourier coefficients on the set? A typical result of this pa ..."
Abstract - Cited by 2632 (50 self) - Add to MetaCart
This paper considers the model problem of reconstructing an object from incomplete frequency samples. Consider a discrete-time signal and a randomly chosen set of frequencies. Is it possible to reconstruct from the partial knowledge of its Fourier coefficients on the set? A typical result

Statistical Validation for Uncertainty Models

by Lawton H. Lee, Kameshwar Poolla - Lecture Notes in Control and Information Sciences , 1994
"... Statistical model validation is treated for a class of parametric uncertainty models and also for a more general class of nonparametric uncertainty models. We show that, in many cases of interest, this problem reduces to computing relative weighted volumes of convex sets in R N (where N is the num ..."
Abstract - Cited by 2 (0 self) - Add to MetaCart
Statistical model validation is treated for a class of parametric uncertainty models and also for a more general class of nonparametric uncertainty models. We show that, in many cases of interest, this problem reduces to computing relative weighted volumes of convex sets in R N (where N

A Simple Model of Capital Market Equilibrium with Incomplete Information

by Robert C. Merton - JOURNAL OF FINANCE , 1987
"... The sphere of modern financial economics encompases finance, micro investment theory and much of the economics of uncertainty. As is evident from its influence on other branches of economics including public finance, industrial organization and monetary theory, the boundaries of this sphere are both ..."
Abstract - Cited by 756 (2 self) - Add to MetaCart
The sphere of modern financial economics encompases finance, micro investment theory and much of the economics of uncertainty. As is evident from its influence on other branches of economics including public finance, industrial organization and monetary theory, the boundaries of this sphere

Bayesian Model Selection in Social Research (with Discussion by Andrew Gelman & Donald B. Rubin, and Robert M. Hauser, and a Rejoinder)

by Adrian Raftery - SOCIOLOGICAL METHODOLOGY 1995, EDITED BY PETER V. MARSDEN, CAMBRIDGE,; MASS.: BLACKWELLS. , 1995
"... It is argued that P-values and the tests based upon them give unsatisfactory results, especially in large samples. It is shown that, in regression, when there are many candidate independent variables, standard variable selection procedures can give very misleading results. Also, by selecting a singl ..."
Abstract - Cited by 585 (21 self) - Add to MetaCart
single model, they ignore model uncertainty and so underestimate the uncertainty about quantities of interest. The Bayesian approach to hypothesis testing, model selection and accounting for model uncertainty is presented. Implementing this is straightforward using the simple and accurate BIC

A volumetric method for building complex models from range images,”

by Brian Curless , Marc Levoy - in Proceedings of the 23rd annual conference on Computer graphics and interactive techniques. ACM, , 1996
"... Abstract A number of techniques have been developed for reconstructing surfaces by integrating groups of aligned range images. A desirable set of properties for such algorithms includes: incremental updating, representation of directional uncertainty, the ability to fill gaps in the reconstruction, ..."
Abstract - Cited by 1020 (17 self) - Add to MetaCart
Abstract A number of techniques have been developed for reconstructing surfaces by integrating groups of aligned range images. A desirable set of properties for such algorithms includes: incremental updating, representation of directional uncertainty, the ability to fill gaps in the reconstruction

Optimal contracts and competitive markets with costly state verification

by Robert M. Townsend - Journal of Economic Theory , 1979
"... The insight of Arrow [4] and Debreu [7] that uncertainty is easily incor-porated into general equilibrium models is double-edged. It is true that one need only index commodities by the state of nature, and classical results on the existence and optimality of competitive equilibria can be made to ..."
Abstract - Cited by 879 (8 self) - Add to MetaCart
The insight of Arrow [4] and Debreu [7] that uncertainty is easily incor-porated into general equilibrium models is double-edged. It is true that one need only index commodities by the state of nature, and classical results on the existence and optimality of competitive equilibria can be made to

Risks for the long run: A potential resolution of asset pricing puzzles

by Ravi Bansal, Amir Yaron - JOURNAL OF FINANCE , 1994
"... We model consumption and dividend growth rates as containing (i) a small long-run predictable component and (ii) fluctuating economic uncertainty (consumption volatility). These dynamics, for which we provide empirical support, in conjunction with Epstein and Zin’s (1989) preferences, can explain ke ..."
Abstract - Cited by 761 (63 self) - Add to MetaCart
We model consumption and dividend growth rates as containing (i) a small long-run predictable component and (ii) fluctuating economic uncertainty (consumption volatility). These dynamics, for which we provide empirical support, in conjunction with Epstein and Zin’s (1989) preferences, can explain

Globally Consistent Range Scan Alignment for Environment Mapping

by F. Lu, E. Milios - AUTONOMOUS ROBOTS , 1997
"... A robot exploring an unknown environmentmay need to build a world model from sensor measurements. In order to integrate all the frames of sensor data, it is essential to align the data properly. An incremental approach has been typically used in the past, in which each local frame of data is alig ..."
Abstract - Cited by 531 (8 self) - Add to MetaCart
frames of measurements (range scans), together with the related issues of representation and manipulation of spatial uncertainties. Our approachistomaintain all the local frames of data as well as the relative spatial relationships between local frames. These spatial relationships are modeled
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