Paper documents

examples/paper/copula_plots.jl

@@ -2,15 +2,16 @@ using UncLogic, BivariateCopulas, PyPlot, LaTeXStrings
 
 N = 200
 figsize = (10,10)
-fontsize = 28
-ft_ticks = 25
+fontsize = 45
+ft_ticks = 35
 
 is = range(0, 1,length=N)
 js = range(0, 1,length=N)
 
 rs = [-0.9999, -0.8, -0.4, 0.4, 0.8 , 0.9999]
+rs_plot = [-1, -0.8, -0.4, 0.4, 0.8 , 1]
 
-for r in rs
+for (i,r) in enumerate(rs)
 
     outs = [and(i, j, r) for i in is, j in js]
     C = copula(outs)
@@ -28,12 +29,10 @@ for r in rs
         t.label.set_fontsize(ft_ticks)
     end
 
-    if r == rs[1]; r == -1; end
-    if r == rs[end]; r == 1; end
-    PyPlot.title("r = $r", fontsize = fontsize)
+    PyPlot.title("ρ = $(rs_plot[i])", fontsize = fontsize)
     PyPlot.tight_layout()
-    savefig("copulas/cop_$r.png")
-    savefig("copulas/cop_$r.pdf")
+    savefig("cop_$(rs_plot[i]).png")
+    savefig("cop_$(rs_plot[i]).pdf")
     PyPlot.clf()
 
 end

paper/code/intervals_tank.jl

@@ -0,0 +1,90 @@
+using UncLogic, ProbabilityBoundsAnalysis, PyPlot, LaTeXStrings
+using ProbabilityBoundsAnalysis: prepFillBounds
+
+function plot_l(s::pbox, fill = true; label = "_nolegend_", name = missing, col = missing, heading = missing, plotting = true, save = false, alpha = 0.2, fontsize = 25)
+
+    if (isvacuous(s))
+        throw(ArgumentError("Pbox is vacuous"))
+    end
+    #if (ismissing(name)) name = s.id; end
+
+    col1 = "red"
+    col2 = "black"
+    fillcol = "grey"
+    if !(ismissing(col))
+        col1 = col2 = fillcol = col
+    end
+
+    if !plotting
+        ioff()
+    end
+    if (ismissing(name))
+        fig = figure(figsize = (10, 10))
+    else
+        fig = figure(name, figsize = (10, 10))
+    end
+
+    ax = fig.add_subplot()
+    j = (0:(s.n-1)) / s.n
+
+    PyPlot.step([s.u[:]; s.u[s.n]; s.d[s.n]], [j; 1; 1], color = col1, where = "pre")
+
+    i = (1:(s.n)) / s.n
+    PyPlot.step([s.u[1]; s.d[1]; s.d[:]], [0; 0; i], color = col2, where = "post")
+
+    if fill
+        Xs, Ylb, Yub = prepFillBounds(s)
+        ax.fill_between(Xs, Ylb, Yub, alpha = alpha, color = fillcol, label = label)
+    end
+    if !(ismissing(heading))
+        title(heading, fontsize = fontsize)
+    end
+    xticks(fontsize = fontsize)
+    yticks(fontsize = fontsize)
+    xlabel("Distribution range", fontsize = fontsize)
+    ylabel("CDF", fontsize = fontsize)
+
+    if save
+        savefig("$name.png")
+        close(fig)
+    end
+    ion()
+end
+
+frech = interval(-1, 1)
+
+# Point estimates
+
+T = makepbox(interval(4.5e-6, 5.5e-6))
+K2 = makepbox(interval(2.5e-5, 3.5e-5))
+S = makepbox(interval(0.5e-4, 1.5e-4))
+K1 = makepbox(interval(2.5e-5, 3.5e-5))
+R = makepbox(interval(0.5e-4, 1.5e-4))
+S1 = makepbox(interval(2.5e-5, 3.5e-5))
+
+# Independence
+
+indep = or(T, or(K2, and(S, or(S1, or(K1, R, 0), 0), 0), 0), 0)
+
+# Mixed
+
+mixed = or(T, or(K2, and(S, or(S1, or(K1, R, 1), 0), 0.15), frech), 0)
+
+# Frechet
+
+frechet = or(T, or(K2, and(S, or(S1, or(K1, R, frech), frech), frech), frech), frech)
+
+println(indep)
+println(mixed)
+println(frechet)
+
+plot_l(makepbox(frechet), label = "Unknown dependence", name = "Intervals", col = "green")
+plot_l(makepbox(mixed), name = "Intervals", col = "blue", label = "Mixed dependence")
+display(plot_l(makepbox(indep), name = "Intervals", col = "red", label = "Independence"))
+legend(fontsize = 25)
+PyPlot.xticks(range(0, 0.0003, length = 5), ["0", L"$0.75$", L"$1.5$", L"$2.25$", L"$3\times 10^{-4}$"])
+PyPlot.ylim([0, 1])
+PyPlot.xlim([0, 0.0003])
+PyPlot.xlabel(L"$\mathbb{P}(E_1)$")
+PyPlot.tight_layout()
+PyPlot.savefig("intervals.pdf", dpi = 300, bbox_inches = "tight")

paper/code/mixture_tank.jl

@@ -0,0 +1,91 @@
+using UncLogic, ProbabilityBoundsAnalysis, PyPlot
+
+using ProbabilityBoundsAnalysis: prepFillBounds
+
+frech = interval(-1, 1)
+
+function plot_l(s::pbox, fill = true; label = "_nolegend_", name = missing, col = missing, heading = missing, plotting = true, save = false, alpha = 0.2, fontsize = 25)
+
+    if (isvacuous(s))
+        throw(ArgumentError("Pbox is vacuous"))
+    end
+    #if (ismissing(name)) name = s.id; end
+
+    col1 = "red"
+    col2 = "black"
+    fillcol = "grey"
+    if !(ismissing(col))
+        col1 = col2 = fillcol = col
+    end
+
+    if !plotting
+        ioff()
+    end
+    if (ismissing(name))
+        fig = figure(figsize = (10, 10))
+    else
+        fig = figure(name, figsize = (10, 10))
+    end
+
+    ax = fig.add_subplot()
+    j = (0:(s.n-1)) / s.n
+
+    PyPlot.step([s.u[:]; s.u[s.n]; s.d[s.n]], [j; 1; 1], color = col1, where = "pre")
+
+    i = (1:(s.n)) / s.n
+    PyPlot.step([s.u[1]; s.d[1]; s.d[:]], [0; 0; i], color = col2, where = "post")
+
+    if fill
+        Xs, Ylb, Yub = prepFillBounds(s)
+        ax.fill_between(Xs, Ylb, Yub, alpha = alpha, color = fillcol, label = label)
+    end
+    if !(ismissing(heading))
+        title(heading, fontsize = fontsize)
+    end
+    xticks(fontsize = fontsize)
+    yticks(fontsize = fontsize)
+    xlabel("Distribution range", fontsize = fontsize)
+    ylabel("CDF", fontsize = fontsize)
+
+    if save
+        savefig("$name.png")
+        close(fig)
+    end
+    ion()
+end
+
+# Point estimates
+
+T = makepbox(interval(4.5e-6, 5.5e-6))
+K2 = KN(3, 100000) # midpoint of its original interval
+S = makepbox(interval(0.5e-4, 1.5e-4))
+K1 = KN(3, 100000)# midpoint of its original interval
+R = KN(1, 10000) # midpoint of its original interval
+S1 = makepbox(interval(2.5e-5, 3.5e-5))
+
+# Independence
+
+indep = or(T, or(K2, and(S, or(S1, or(K1, R, 0), 0), 0), 0), 0)
+
+# Mixed
+
+mixed = or(T, or(K2, and(S, or(S1, or(K1, R, 1), interval(-0.2, 0.2)), 0.15), frech), 0)
+
+# Frechet
+
+frechet = or(T, or(K2, and(S, or(S1, or(K1, R, frech), frech), frech), frech), frech)
+
+println(indep)
+println(mixed)
+println(frechet)
+
+plot_l(frechet, label = "Unknown dependence", name = "Mixture", col = "green")
+plot_l(mixed, name = "Mixture", col = "blue", label = "Mixed dependence")
+display(plot_l(indep, name = "Mixture", col = "red", label = "Independence"))
+legend(fontsize = 25)
+PyPlot.xlim([0, 0.0003])
+PyPlot.ylim([0, 1])
+PyPlot.xticks(range(0, 0.0003, length = 5), ["0", L"$0.75$", L"$1.5$", L"$2.25$", L"$3\times 10^{-4}$"])
+PyPlot.xlabel(L"$\mathbb{P}(E_1)$")
+PyPlot.tight_layout()
+PyPlot.savefig("mixed.pdf", dpi = 300, bbox_inches = "tight")

paper/history.txt

@@ -0,0 +1,139 @@
+Version history for the LLNCS LaTeX2e class
+
+ date     filename      version   action/reason/acknowledgements
+----------------------------------------------------------------------------
+ 29.5.96  letter.txt      beta    naming problems (subject index file)
+                                  thanks to Dr. Martin Held, Salzburg, AT
+
+          subjindx.ind            renamed to subjidx.ind as required
+                                  by llncs.dem
+
+          history.txt             introducing this file
+
+ 30.5.96  llncs.cls               incompatibility with new article.cls of
+                                  1995/12/20 v1.3q Standard LaTeX document class,
+                                  \if@openbib is no longer defined,
+                                  reported by Ralf Heckmann and Graham Gough
+                                  solution by David Carlisle
+
+ 10.6.96  llncs.cls               problems with fragile commands in \author field
+                                  reported by Michael Gschwind, TU Wien
+
+ 25.7.96  llncs.cls               revision a corrects:
+                                  wrong size of text area, floats not \small,
+                                  some LaTeX generated texts
+                                  reported by Michael Sperber, Uni Tuebingen
+
+ 16.4.97  all files        2.1    leaving beta state,
+                                  raising version counter to 2.1
+
+  8.6.97  llncs.cls        2.1a   revision a corrects:
+                                  unbreakable citation lists, reported by
+                                  Sergio Antoy of Portland State University
+
+11.12.97  llncs.cls        2.2    "general" headings centered; two new elements
+                                  for the article header: \email and \homedir;
+                                  complete revision of special environments:
+                                  \newtheorem replaced with \spnewtheorem,
+                                  introduced the theopargself environment;
+                                  two column parts made with multicol package;
+                                  add ons to work with the hyperref package
+
+07.01.98  llncs.cls        2.2    changed \email to simply switch to \tt
+
+25.03.98  llncs.cls        2.3    new class option "oribibl" to suppress
+                                  changes to the thebibliograpy environment
+                                  and retain pure LaTeX codes - useful
+                                  for most BibTeX applications
+
+16.04.98  llncs.cls        2.3    if option "oribibl" is given, extend the
+                                  thebibliograpy hook with "\small", suggested
+                                  by Clemens Ballarin, University of Cambridge
+
+20.11.98  llncs.cls        2.4    pagestyle "titlepage" - useful for
+                                  compilation of whole LNCS volumes
+
+12.01.99  llncs.cls        2.5    counters of orthogonal numbered special
+                                  environments are reset each new contribution
+
+27.04.99  llncs.cls        2.6    new command \thisbottomragged for the
+                                  actual page; indention of the footnote
+                                  made variable with \fnindent (default 1em);
+                                  new command \url that copys its argument
+
+ 2.03.00  llncs.cls        2.7    \figurename and \tablename made compatible
+                                  to babel, suggested by Jo Hereth, TU Darmstadt;
+                                  definition of \url moved \AtBeginDocument
+                                  (allows for url package of Donald Arseneau),
+                                  suggested by Manfred Hauswirth, TU of Vienna;
+                                  \large for part entries in the TOC
+
+16.04.00  llncs.cls        2.8    new option "orivec" to preserve the original
+                                  vector definition, read "arrow" accent
+
+17.01.01  llncs.cls        2.9    hardwired texts made polyglot,
+                                  available languages: english (default),
+                                  french, german - all are "babel-proof"
+
+20.06.01  splncs.bst              public release of a BibTeX style for LNCS,
+                                  nobly provided by Jason Noble
+
+14.08.01  llncs.cls        2.10   TOC: authors flushleft,
+                                  entries without hyphenation; suggested
+                                  by Wiro Niessen, Imaging Center - Utrecht
+
+23.01.02  llncs.cls        2.11   fixed footnote number confusion with
+                                  \thanks, numbered institutes, and normal
+                                  footnote entries; error reported by
+                                  Saverio Cittadini, Istituto Tecnico
+                                  Industriale "Tito Sarrocchi" - Siena
+
+28.01.02  llncs.cls        2.12   fixed footnote fix; error reported by
+                                  Chris Mesterharm, CS Dept. Rutgers - NJ
+
+28.01.02  llncs.cls        2.13   fixed the fix (programmer needs vacation)
+
+17.08.04  llncs.cls        2.14   TOC: authors indented, smart \and handling
+                                  for the TOC suggested by Thomas Gabel
+                                  University of Osnabrueck
+
+07.03.06  splncs.bst              fix for BibTeX entries without year; patch
+                                  provided by Jerry James, Utah State University
+
+14.06.06  splncs_srt.bst          a sorting BibTeX style for LNCS, feature
+                                  provided by Tobias Heindel, FMI Uni-Stuttgart
+
+16.10.06  llncs.dem        2.3    removed affiliations from \tocauthor demo
+
+11.12.07  llncs.doc               note on online visibility of given e-mail address
+
+15.06.09  splncs03.bst            new BibTeX style compliant with the current
+                                  requirements, provided by Maurizio "Titto"
+                                  Patrignani of Universita' Roma Tre
+
+30.03.10  llncs.cls        2.15   fixed broken hyperref interoperability;
+                                  patch provided by Sven Koehler,
+                                  Hamburg University of Technology
+
+15.04.10  llncs.cls        2.16   fixed hyperref warning for informatory TOC entries;
+                                  introduced \keywords command - finally;
+                                  blank removed from \keywordname, flaw reported
+                                  by Armin B. Wagner, IGW TU Vienna
+
+15.04.10  llncs.cls        2.17   fixed missing switch "openright" used by \backmatter;
+                                  flaw reported by Tobias Pape, University of Potsdam
+
+27.09.13  llncs.cls        2.18   fixed "ngerman" incompatibility; solution provided
+                                  by Bastian Pfleging, University of Stuttgart
+
+04.09.17  llncs.cls        2.19   introduced \orcidID command
+
+10.03.18  llncs.cls        2.20   adjusted \doi according to CrossRef requirements;
+                                  TOC: removed affiliation numbers
+
+          splncs04.bst            added doi field;
+                                  bold journal numbers
+
+          samplepaper.tex         new sample paper
+
+          llncsdoc.pdf            new LaTeX class documentation