Event Selection Using an Extended Fisher Discriminant MethodThis note discusses the problem of choosing between hypotheses in a situation with many, correlated non-normal variables. A new method is introduced to shrink the many variables into a smaller subset…Byron P. Roe·Oct 29, 2003SaveLearn
Multivariate Analysis from a Statistical Point of ViewMultivariate Analysis is an increasingly common tool in experimental high energy physics; however, many of the common approaches were borrowed from other fields. We clarify what the goal of a…Kyle S. Cranmer·Oct 22, 2003SaveLearn
Frequentist Hypothesis Testing with Background UncertaintyWe consider the standard Neyman-Pearson hypothesis test of a signal-plus-background hypothesis and background-only hypothesis in the presence of uncertainty on the background-only prediction.…Kyle S. Cranmer·Oct 22, 2003SaveLearn
Model reconstruction of nonlinear dynamical systems driven by noiseAn efficient technique is introduced for model inference of complex nonlinear dynamical systems driven by noise. The technique does not require extensive global optimization, provides optimal…V. N. Smelyanskiy, D. A. Timucin, A. Bandrivskyy et al.·Oct 14, 2003SaveLearn
Image reconstruction without prior informationA novel framework for designing image reconstruction algorithms for linear forward problems is proposed. The framework is based on the novel concept of conserving the information in the data during…Keith S Cover·Oct 14, 2003SaveLearn
Multilevel Clustering Fault Model for IC ManufactureA hierarchical approach to the construction of compound distributions for process-induced faults in IC manufacture is proposed. Within this framework, the negative binomial distribution is treated as…Yu. I. Bogdanov, N. A. Bogdanova, A. V. Rudnev·Oct 2, 2003SaveLearn
An Object-Oriented Approach to Partial Wave AnalysisPartial Wave Analysis has traditionally been carried out using a set of tools handcrafted for each experiment. By taking an object-oriented approach, the design presented in this paper attempts to…John P. Cummings, Dennis P. Weygand·Sep 10, 2003SaveLearn
Spatial methods for event reconstruction in CLEANIn CLEAN (Cryogenic Low Energy Astrophysics with Noble gases), a proposed neutrino and dark matter detector, background discrimination is possible if one can determine the location of an ionizing…Kevin J. Coakley, Daniel N. McKinsey·Sep 5, 2003SaveLearn
The probability of making a correct decision in hypotheses testing as estimator of quality of planned experimentsIn the report the approach to estimation of quality of planned experiments is considered. This approach is based on the analysis of uncertainty, which will take place under the future hypotheses…S. I. Bityukov, N. V. Krasnikov·Sep 4, 2003SaveLearn
Optimal embedding parameters: A modelling paradigmReconstruction of a dynamical system from a time series requires the selection of two parameters, the embedding dimension de and the embedding lag τ. Many competing criteria to select these…Michael Small, Chi K. Tse·Aug 29, 2003SaveLearn
Contents of Physics Related E-Print ArchivesThe frontiers of physics related e-print archives (1994-2002) at http://www.arxiv.org/archives/physics web service are explored from 7770 submissions. No. of e-prints in the six research disciplines…E. R. Prakasan, Anil Kumar, Anil Sagar et al.·Aug 28, 2003SaveLearn
Exclusion regions and their powerThe question of exclusion region construction in new phenomenon searches has been causing considerable discussions for many years and yet no clear mathematical definition of the problem has been…L. Fleysher, R. Fleysher, T. J. Haines et al.·Aug 18, 2003SaveLearn
On Statistical Methods of Parameter Estimation for Deterministically Chaotic Time-SeriesWe discuss the possibility of applying some standard statistical methods (the least square method, the maximum likelihood method, the method of statistical moments for estimation of parameters) to…V. F. Pisarenko, D. Sornette·Aug 14, 2003SaveLearn
A generic scheme for choosing models and characterizations of complex systemsIt is argued that the two problems of choosing characterizations and models of complex systems should not be considered independently. A particular criterion for these choices, oriented on the…Axel G. Rossberg·Aug 5, 2003SaveLearn
Maximum Probability and Maximum Entropy methods: Bayesian interpretation(Jaynes') Method of (Shannon-Kullback's) Relative Entropy Maximization (REM or MaxEnt) can be - at least in the discrete case - according to the Maximum Probability Theorem (MPT) viewed as an…M. Grendar,, M. Grendar·Aug 1, 2003SaveLearn
Maximum Entropy method with non-linear moment constraints: challengesTraditionally, the Method of (Shannon-Kullback's) Relative Entropy Maximization (REM) is considered with linear moment constraints. In this work, the method is studied under frequency moment…M. Grendar,, M. Grendar·Aug 1, 2003SaveLearn
Entropy Estimates from Insufficient SamplingsWe present a detailed derivation of some estimators of Shannon entropy for discrete distributions. They hold for finite samples of N points distributed into M "boxes", with N and M -> oo, but…P. Grassberger·Jul 29, 2003SaveLearn
Information Metric on Instanton Moduli Spaces in Nonlinear Sigma ModelsWe study the information metric on instanton moduli spaces in two-dimensional nonlinear sigma models. In the CP1 model, the information metric on the moduli space of one instanton with the…Shigeaki Yahikozawa·Jul 25, 2003SaveLearn
Symbolic stochastic dynamical systems viewed as binary N-step Markov chainsA theory of systems with long-range correlations based on the consideration of binary N-step Markov chains is developed. In the model, the conditional probability that the i-th symbol in the chain…O. V. Usatenko, V. A. Yampol'skii, K. E. Kechedzhy et al.·Jul 23, 2003SaveLearn
Maximum Entropy and Bayesian Data Analysis: Entropic PriorsThe problem of assigning probability distributions which objectively reflect the prior information available about experiments is one of the major stumbling blocks in the use of Bayesian methods of…Ariel Caticha, Roland Preuss·Jul 10, 2003SaveLearn
Detecting Stochastic Information of ElectrocardiogramsIn this work we present a method to detect, identify and characterize stochastic information contained in an electrocardiogram (ECG). We assume, as it is well known, that the ECG has information…Rafael M. Gutiérrez, Luis A. Sandoval·Jul 7, 2003SaveLearn
Co-operation of two-state processes and 1/f noiseA general physical model is presented for 1/f noise. The main questions raised by this type of noise can be solved if at the origin of the phenomenon we consider many similar like RTN two-state…Giovanni Zanella·Jul 2, 2003SaveLearn
Pulse Shape Discrimination Techniques in Scintillating CsI(Tl) CrystalsThere are recent interests with CsI(Tl) scintillating crystals for Dark Matter experiments. The key merit is the capability to differentiate nuclear recoil (nr) signatures from the background $β/…S. C. Wu·Jul 1, 2003SaveLearn
Characterization and diagnostics of combustion thermoacoustic instabilities using nonlinear dynamics and topological methodsThe onset of thermoacoustic instabilities in lean-premixed gas-turbine combustors is a crucial problem leading to degradation in engine and emissions performance and shortened component life. The…G. Gianni, G. Mariotti, E. Paganini et al.·Jun 30, 2003SaveLearn
TPC tracking and particle identification in high-density environmentTrack finding and fitting algorithm in the ALICE Time projection chamber (TPC) based on Kalman-filtering is presented. Implementation of particle identification (PID) using dE/dx measurement is…M. Ivanov, K. Safarik, Y. Belikov et al.·Jun 27, 2003SaveLearn