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Sep 23, 2013
09/13
by
C. Bernard
texts
eye 34
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I calculate, at one loop in staggered chiral perturbation theory, the matrix elements of the complete set of five local operators that may contribute to B mixing both in the Standard Model and in beyond-the-Standard-Model theories. Lattice computations of these matrix elements by the Fermilab Lattice/MILC collaborations (and earlier by the HPQCD collaboration) convert a light staggered quark into a naive quark, and construct the relevant 4-quark operators as local products of two local...
Source: http://arxiv.org/abs/1303.0435v2
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49
Sep 22, 2013
09/13
by
C. Bernard
texts
eye 49
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I review the current status of lattice calculations of the properties of bound states containing one or more heavy quarks. Many of my remarks focus on the heavy-light leptonic decay constants, such as $f_B$, for which the systematic errors have by now been quite well studied. I also discuss $B$-parameters, semileptonic form factors, and the heavy-light and heavy-heavy spectra. Some of my ``world averages'' are: $f_B=200(30) MeV$, $f_B\sqrt{\hat B_{B_d}}= 230(40) MeV$, $f_{B_s}/f_B=1.16(4)$ and...
Source: http://arxiv.org/abs/hep-lat/0011064v2
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55
Sep 24, 2013
09/13
by
C. Bernard
texts
eye 55
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Durr and Hoelbling recently observed that the continuum and chiral limits do not commute in the two dimensional, one flavor, Schwinger model with staggered fermions. I point out that such lack of commutativity can also be seen in four-dimensional staggered chiral perturbation theory (SChPT) in quenched or partially quenched quantities constructed to be particularly sensitive to the chiral limit. Although the physics involved in the SChPT examples is quite different from that in the Schwinger...
Source: http://arxiv.org/abs/hep-lat/0412030v3
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36
Sep 18, 2013
09/13
by
C. Bernard
texts
eye 36
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I describe a calculation of B meson mixing at one-loop in staggered chiral perturbation theory, for the complete set of Standard Model and beyond-the-Standard Model operators. The particular lattice representation of the continuum operators used by the Fermilab Lattice/MILC collaborations (and earlier by the HPQCD collaboration) turns out to be important, and results in the presence of "wrong-spin" operators, whose contributions however vanish in the continuum limit. The relation...
Source: http://arxiv.org/abs/1211.0237v1
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20
Nov 8, 2018
11/18
by
C. Bernard
texts
eye 20
favorite 0
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This paper is in the public domain in USA. Metadata comes from the CrossRef API, see full record in the source URL below.
Topic: journals
Source: https://api.crossref.org/works/10.1098/rstl.1695.0035
3
3.0
Jun 28, 2018
06/18
by
C. Bernard
texts
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I describe some of the many connections between lattice QCD and effective field theories, focusing in particular on chiral effective theory, and, to a lesser extent, Symanzik effective theory. I first discuss the ways in which effective theories have enabled and supported lattice QCD calculations. Particular attention is paid to the inclusion of discretization errors, for a variety of lattice QCD actions, into chiral effective theory. Several other examples of the usefulness of chiral...
Topics: High Energy Physics - Lattice, High Energy Physics - Phenomenology
Source: http://arxiv.org/abs/1510.02180
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55
Sep 22, 2013
09/13
by
C. Bernard
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Staggered chiral perturbation theory (schpt) takes into account the "fourth-root trick" for reducing unwanted (taste) degrees of freedom with staggered quarks by multiplying the contribution of each sea quark loop by a factor of 1/4. In the special case of four staggered fields (four flavors, nF=4), I show here that certain assumptions about analyticity and phase structure imply the validity of this procedure for representing the rooting trick in the chiral sector. I start from the...
Source: http://arxiv.org/abs/hep-lat/0603011v3
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44
Sep 19, 2013
09/13
by
C. Bernard
texts
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Lattice attempts to compute the leptonic decay constants of heavy-light pseudoscalar mesons are described. I give a short historical overview of such attempts and then discuss some current calculations. I focus on three of the most important sources of systematic error: the extrapolation to the continuum, the chiral extrapolation in light quark mass, and the effects of quenching. I briefly discuss the ``bag parameters'' $B_B$ and $B_{B_s}$, and then conclude with my expectations of the...
Source: http://arxiv.org/abs/hep-ph/9709460v1
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Sep 22, 2013
09/13
by
C. Bernard
texts
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Chiral logarithms in $m_\pi^2$ are calculated at one loop, taking into account the leading contributions to flavor symmetry breaking due to staggered fermions. I treat both the full QCD case (2+1 light dynamical flavors) and the quenched case; finite volume corrections are included. My starting point is the effective chiral Lagrangian introduced by Lee and Sharpe. It is necessary to understand the one-loop diagrams in the ``quark flow'' picture in order to adjust the calculation to correspond...
Source: http://arxiv.org/abs/hep-lat/0111051v3
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18
May 6, 2020
05/20
by
Ernest C. Bernard
texts
eye 18
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"Athens in the Age of Pericles" is an article from The Classical Journal, Volume 15 . View more articles from The Classical Journal . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-3287768
Source: http://www.jstor.org/stable/10.2307/3287768
13,571
14K
Apr 23, 2013
04/13
by
C Bernard Rutley
texts
eye 13,571
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comment 0
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48
Feb 2, 2016
02/16
by
E C Bernard
texts
eye 48
favorite 0
comment 0
136
136
Jan 18, 2017
01/17
by
Rutley, C. Bernard
texts
eye 136
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Book Source: Digital Library of India Item 2015.501783 dc.contributor.author: Rutley, C. Bernard dc.date.accessioned: 2015-09-26T02:38:03Z dc.date.available: 2015-09-26T02:38:03Z dc.date.digitalpublicationdate: 2009/11/5 dc.date.citation: 1822 dc.identifier.barcode: 04990010254695 dc.identifier.origpath: /data4/upload/0107/499 dc.identifier.copyno: 1 dc.identifier.uri: http://www.new.dli.ernet.in/handle/2015/501783 dc.description.scannerno: U.J.P.L_01 dc.description.scanningcentre: C-DAK,...
Topic: C-DAK
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108
Feb 11, 2016
02/16
by
E C Bernard
texts
eye 108
favorite 0
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75
75
Sep 22, 2013
09/13
by
C. Aubin; C. Bernard
texts
eye 75
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We merge heavy quark effective theory with staggered chiral perturbation theory to calculate heavy-light (B, D) meson quantities. We present results at NLO for the $B(D)$ meson decay constant in the partially quenched and full QCD cases, and discuss the calculation of the form factors for $B(D) \to \pi(K) \ell \nu$ decays.
Source: http://arxiv.org/abs/hep-lat/0409027v1
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45
Sep 21, 2013
09/13
by
C. Bernard; M. Golterman
texts
eye 45
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We summarize results for partially quenched chiral perturbation theory and indicate an application to staggered fermion QCD in which the square root of the determinant is taken to reduce the number of flavors from four to two.
Source: http://arxiv.org/abs/hep-lat/9311070v1
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52
Sep 19, 2013
09/13
by
C. Aubin; C. Bernard
texts
eye 52
favorite 0
comment 0
We show how to compute chiral logarithms that take into account both the $\cO(a^2)$ taste-symmetry breaking of staggered fermions and the fourth-root trick that produces one taste per flavor. The calculation starts from the Lee-Sharpe Lagrangian generalized to multiple flavors. An error in a previous treatment by one of us is explained and corrected. The one loop chiral logarithm corrections to the pion and kaon masses in the full (unquenched), partially quenched, and quenched cases are...
Source: http://arxiv.org/abs/hep-lat/0304014v3
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51
Sep 23, 2013
09/13
by
C. Aubin; C. Bernard
texts
eye 51
favorite 0
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We incorporate heavy-light mesons into staggered chiral perturbation theory, working to leading order in 1/m_Q, where m_Q is the heavy quark mass. At first non-trivial order in the chiral expansion, staggered taste violations affect the chiral logarithms for heavy-light quantities only through the light meson propagators in loops. There are also new analytic contributions coming from additional terms in the Lagrangian involving heavy-light and light mesons. Using this heavy-light staggered...
Source: http://arxiv.org/abs/hep-lat/0510088v3
65
65
Sep 23, 2013
09/13
by
C. Bernard; T. DeGrand
texts
eye 65
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We discuss weak coupling perturbation theory for lattice actions in which the fermions couple to smeared gauge links. The normally large integrals that appear in lattice perturbation theory are drastically reduced. Even without detailed calculation, it is easy to determine to good accuracy the scale of the logarithms that appear in cases where an anomalous dimension is present. We describe several 1-loop examples for fat-link Wilson and clover fermions. including the additive mass shift, the...
Source: http://arxiv.org/abs/hep-lat/9909083v1
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53
Sep 18, 2013
09/13
by
C. Aubin; C. Bernard
texts
eye 53
favorite 0
comment 0
In a continuation of an ongoing program, we use staggered chiral perturbation theory to calculate the one-loop chiral logarithms and analytic terms in the pseudoscalar meson leptonic decay constants, $f_{\pi^+_5}$ and $f_{K^+_5}$. We consider the partially quenched, ``full QCD'' (with three dynamical flavors), and quenched cases.
Source: http://arxiv.org/abs/hep-lat/0306026v3
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100
Sep 18, 2013
09/13
by
C. Aubin; C. Bernard
texts
eye 100
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We calculate the form factors for the semileptonic decays of heavy-light pseudoscalar mesons in partially quenched staggered chiral perturbation theory (\schpt), working to leading order in $1/m_Q$, where $m_Q$ is the heavy quark mass. We take the light meson in the final state to be a pseudoscalar corresponding to the exact chiral symmetry of staggered quarks. The treatment assumes the validity of the standard prescription for representing the staggered ``fourth root trick'' within \schpt by...
Source: http://arxiv.org/abs/0704.0795v2
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49
Sep 22, 2013
09/13
by
C. Aubin; C. Bernard
texts
eye 49
favorite 0
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We discuss how to formulate a staggered chiral perturbation theory. This amounts to a generalization of the Lee-Sharpe Lagrangian to include more than one flavor (i.e. multiple staggered fields), which turns out to be nontrivial. One loop corrections to pion and kaon masses and decay constants are computed as examples in three cases: the quenched, partially quenched, and full (unquenched) case. The results for the one loop mass and decay constant corrections have already been presented in Ref....
Source: http://arxiv.org/abs/hep-lat/0308036v1
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15
Jun 26, 2020
06/20
by
Arne Fjellberg; Ernest C. Bernard
texts
eye 15
favorite 0
comment 0
17
17
Nov 7, 2018
11/18
by
MM C. Bernard; Ch. Huette
texts
eye 17
favorite 0
comment 0
This paper is in the public domain in USA. Metadata comes from the CrossRef API, see full record in the source URL below.
Topic: journals
Source: https://api.crossref.org/works/10.1097/00000441-185507000-00025
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18
Jun 27, 2020
06/20
by
Ernest C. Bernard; Gary Phillips
texts
eye 18
favorite 0
comment 0
65
65
Sep 23, 2013
09/13
by
Jon A. Bailey; C. Bernard
texts
eye 65
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Motivated by simulation results for octet and decuplet baryon masses using 2+1 flavors of light staggered quarks, we are incorporating staggered lattice artifacts into heavy baryon chiral perturbation theory, calculating the masses of various staggered baryons, and studying the connection between the staggered baryons of the chiral theory and the staggered baryons of simulations. We present order (m_q)^(3/2) loop contributions to the masses of several staggered nucleons and discuss...
Source: http://arxiv.org/abs/hep-lat/0510006v1
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29
Dec 4, 2020
12/20
by
Rutley, C. Bernard (Cecil Bernard)
texts
eye 29
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223 pages ; 19 cm
Topics: Detective and mystery stories, Adventure stories, Women detectives -- Juvenile fiction, Mystery and...
50
50
Sep 21, 2013
09/13
by
C. Bernard; E. D. Freeland
texts
eye 50
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comment 0
To reduce errors in light-quark mass determinations, it is now necessary to consider electromagnetic contributions to light-meson masses. Calculations using staggered quarks and quenched photons are currently underway. Suitably-extended chiral perturbation theory is necessary to extrapolate the lattice data to the physical limit. Here we give (preliminary) results for light-meson masses using staggered chiral perturbation theory including electromagnetism, and discuss the extent to which...
Source: http://arxiv.org/abs/1011.3994v1
48
48
Nov 21, 2019
11/19
by
Ruffin, C. Bernard (Caulbert Bernard), 1947-
texts
eye 48
favorite 1
comment 0
257 pages ; 22 cm
Topics: United States, Women -- Biography, Crosby, Fanny, 1820-1915, Poets, American -- 19th century --...
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46
Sep 19, 2013
09/13
by
C. Bernard; Y. Shen; A. Soni
texts
eye 46
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comment 0
We calculate the Isgur-Wise function ($\xi_0$) by measuring the heavy-heavy meson transition matrix element on the lattice in the quenched approximation. The standard Wilson action is used for both the heavy and the light quarks. Our numerical results are compared with various model calculations and experimental data. In particular, using a linear fit, we find $\rho^2 = 1.24\pm .26 \pm .26 $. (The slope of $\xi_0$ at the zero-recoil point is $-\rho^2$.) Using instead the parametrization of...
Source: http://arxiv.org/abs/hep-lat/9307005v1
5preliminary leaves, 117 pages ; 20cm
24
24
Sep 23, 2020
09/20
by
Ruffin, C. Bernard (Caulbert Bernard), 1947-
texts
eye 24
favorite 1
comment 0
208 pages ; 22 cm
Topics: Crosby, Fanny, 1820-1915, Hymn writers -- United States -- Biography, Poets, American -- 19th...
48
48
Sep 19, 2013
09/13
by
C. Bernard; C. Parrinello; A. Soni
texts
eye 48
favorite 0
comment 0
We consider pure glue QCD at beta=5.7, beta=6.0 and beta=6.3. We evaluate the gluon propagator both in time at zero 3-momentum and in momentum space. From the former quantity we obtain evidence for a dynamically generated effective mass, which at beta=6.0 and beta=6.3 increases with the time separation of the sources, in agreement with earlier results. The momentum space propagator G(k) provides further evidence for mass generation. In particular, at beta=6.0, for k less than 1 GeV, the...
Source: http://arxiv.org/abs/hep-lat/9307001v1
53
53
Mar 11, 2021
03/21
by
Dietrich, Bernard C. (Bernard Clive), 1928-
texts
eye 53
favorite 6
comment 0
xvii, 345 pages 24 cm
Topics: Religion, Crete (Greece) -- Religion, Mycenae (Extinct city) -- Religion, Greece -- Religion,...
15
15
Jun 26, 2020
06/20
by
Ernest C. Bernard; Kenneth A. Christiansen
texts
eye 15
favorite 0
comment 0
55
55
Sep 23, 2013
09/13
by
C. Bernard; C. Parrinello; A. Soni
texts
eye 55
favorite 0
comment 0
We give preliminary numerical results for the gluon propagator evaluated both in coordinate and momentum space on a 16^3X40 quenched lattice at beta=6.0. Our findings are compared with earlier results in the literature at zero momentum. In addition, by considering nonzero momenta we attempt to extract the form of the propagator and compare it to continuum predictions formulated by Gribov and others. latex, file espcrc2.sty needed (appended at the end: search for espcrc2.sty).
Source: http://arxiv.org/abs/hep-lat/9211020v1
42
42
Sep 21, 2013
09/13
by
C. Bernard; P. Hsieh; A. Soni
texts
eye 42
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comment 0
A lattice calculation of the form factors that determine the ``hadronization ratios'', such as $R_{K^*}$ and $R_{\phi}$, where $R_{K^*} \equiv [\Gamma ($B \to K^* \gamma$)/\Gamma(b \to s \gamma)]$, is presented in the quenched approximation. Lattice data shows strong evidence for the scaling law suggested by heavy quark symmetry for one of the form factors ({\it i.e.}\ $T_2$). The data also gives strong support for the simple pole ansatz for the $q^2$ dependence of $T_2$ in the range of...
Source: http://arxiv.org/abs/hep-lat/9311010v2
44
44
Sep 19, 2013
09/13
by
C. Bernard; T. Blum; A. Soni
texts
eye 44
favorite 0
comment 0
Results in the quenched approximation for SU(3) breaking ratios of the heavy-light decay constants and the $\Delta F=2$ mixing matrix elements are reported. Using lattice simulations at $6/g^2=5.7$, 5.85, 6.0, and 6.3, we directly compute the mixing matrix element $M_{hl}= < \bar P_{hl}|\bar h \gamma_\mu (1-\gamma_5)l \bar h \gamma_\mu(1-\gamma_5)l|P_{hl}>$. Extrapolating to the physical B meson states, $B^0$ and $B_s^0$, we obtain $M_{bs}/M_{bd} =1.76(10)^{+57}_{-42}$. in the continuum...
Source: http://arxiv.org/abs/hep-lat/9801039v1
109
109
Feb 2, 2016
02/16
by
M A Muegge; E C Bernard
texts
eye 109
favorite 0
comment 0
8
8.0
Jun 1, 2022
06/22
by
Dietrich, Bernard C. (Bernard Clive), 1928-
texts
eye 8
favorite 1
comment 0
xvi, 213 p. ; 24 cm
Topic: Greece -- Religion
48
48
Sep 21, 2013
09/13
by
C. Bernard; T. Blum; A. Soni
texts
eye 48
favorite 0
comment 0
We present an analysis, using quenched configurations at $6/g^2=$5.7, 5.85, 6.0, and 6.3 of the matrix element $\MP\equiv\langle \bar P_{hl}|\bar h \gamma_\mu (1-\gamma_5)l \bar h \gamma_\mu(1-\gamma_5)l|P_{hl}\rangle$ for heavy-light pseudoscalar mesons. The results are extrapolated to the physical $B$ meson states, $\Bd$ and $\Bs$. We directly compute the ratio $\MS/\MB$, and obtain the preliminary result $\MS/\MB=1.54(13)(32)$. A precise value of this SU(3) breaking ratio is important for...
Source: http://arxiv.org/abs/hep-lat/9609005v1
6
6.0
May 6, 2022
05/22
by
Ruffin, C. Bernard (Caulbert Bernard), 1947-
texts
eye 6
favorite 1
comment 0
vii, 261 pages ; 24 cm
Topics: Death -- Quotations, maxims, etc. -- Dictionaries, Last words, Dernières paroles, Death,...
California Digital Library
938
938
Sep 12, 2007
09/07
by
Ewer, Bernard C. (Bernard Capen), b. 1877
texts
eye 938
favorite 0
comment 0
Bibliography: p.227-228
Topics: Universities and colleges, Students
465
465
Sep 15, 2008
09/08
by
Steiner, Bernard C. (Bernard Christian), 1867-1926
texts
eye 465
favorite 1
comment 0
Book digitized by Google from the library of the University of Michigan and uploaded to the Internet Archive by user tpb.
Topics: McHenry, James, 1753-1816, McHenry, James, 1753-1816
Source: http://books.google.com/books?id=zJUBAAAAMAAJ&oe=UTF-8
835
835
Jan 13, 2008
01/08
by
Steiner, Bernard C. (Bernard Christian), 1867-1926
texts
eye 835
favorite 0
comment 0
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Topics: Taney, Roger Brooke, 1777-1864, Taney, Roger Brooke, 1777-1864, Judges -- United States -- 19th...
Source: http://books.google.com/books?id=hnE4GljDaDAC&oe=UTF-8
425
425
Sep 15, 2008
09/08
by
Steiner, Bernard C. (Bernard Christian), 1867-1926
texts
eye 425
favorite 0
comment 0
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Topics: McHenry, James, 1753-1816, McHenry, James, 1753-1816
Source: http://books.google.com/books?id=7F_Es3aY25UC&oe=UTF-8
5
5.0
Nov 29, 2019
11/19
by
Steiner, Bernard C. (Bernard Christian), 1867-1926
texts
eye 5
favorite 0
comment 0
vii, 178 p. 23 cm
Topic: Maryland -- Politics and government -- To 1775
52
52
Sep 22, 2013
09/13
by
C. Bernard-Michel; L. Gardes; S. Girard
texts
eye 52
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comment 0
Sliced Inverse Regression (SIR) is an effective method for dimension reduction in high-dimensional regression problems. The original method, however, requires the inversion of the predictors covariance matrix. In case of collinearity between these predictors or small sample sizes compared to the dimension, the inversion is not possible and a regularization technique has to be used. Our approach is based on a Fisher Lecture given by R.D. Cook where it is shown that SIR axes can be interpreted as...
Source: http://arxiv.org/abs/1103.6118v1
551
551
Sep 15, 2008
09/08
by
Steiner, Bernard C. (Bernard Christian), 1867-1926
texts
eye 551
favorite 0
comment 0
Book digitized by Google from the library of the New York Public Library and uploaded to the Internet Archive by user tpb.
Topics: McHenry, James, 1753-1816, McHenry, James, 1753-1816
Source: http://books.google.com/books?id=ki4DAAAAYAAJ&oe=UTF-8
