\relax \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces CGRO/EGRET data: a) Left: $>$1\nobreakspace {}GeV counts measured over the whole sky over the lifetime of the mission (from HEASARC), plotted in Galactic coordinates in $0.5^{\circ }\times 0.5^{\circ }$ bins. b) Right: corresponding exposure (effective area times time).}}{5}} \newlabel{fg:cgroegretallskydata}{{1}{5}} \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Quantifying Nothing---Model+Data: a) Left: Physical model of all-sky diffuse emission $>$1\nobreakspace {}GeV; b) Right: Poisson data simulated from the physical model with no extra component. Top and bottom are padded with zeros to make an even 128x128 bins. }}{9}} \newlabel{fg:datons000msk100model}{{2}{9}} \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Quantifying Nothing---Results: a) Top Left: mean value in each pixel from 900 draws of multiscale model (i.e., EMC2 run); b) Top Right: sigma of same; c) Bottom Left: skew; d) Bottom Right: kurtosis. }}{10}} \newlabel{fg:datons000msk100mean}{{3}{10}} \@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Bright Unknown (Discontinuous) Source---Model+Data: a) Left: Again, the baseline is the physical model of all-sky diffuse emission $>$1\nobreakspace {}GeV; b) Right: Poisson data simulated from the physical model with a bright added component. Top and bottom are padded with zeros to make an even 128x128 bins. }}{11}} \newlabel{fg:datons539msk100model}{{4}{11}} \@writefile{lof}{\contentsline {figure}{\numberline {5}{\ignorespaces Bright Unknown (Discontinuous) Source---Results: a) Top Left: mean value in each pixel from 900 draws of multiscale model (i.e., EMC2 run); b) Top Right: sigma of same; c) Bottom Left: skew; d) Bottom Right: kurtosis. Recall these moments display only the shape of the unknown component. Significance is assessed as in Figure 6. }}{12}} \newlabel{fg:datons539msk100mean}{{5}{12}} \@writefile{lof}{\contentsline {figure}{\numberline {6}{\ignorespaces Calibrating Results---Null vs Bright Unknown Component: Scatter plot of $\mathop {\mathgroup \symoperators log}\nolimits _{10}$ of total number of counts inferred to be in the multscale model for each of the draws, versus $\mathop {\mathgroup \symoperators log}\nolimits _{10}$ of the baseline scale factor. a) Left: Bright unknown component; b) Right: Same, compared to results on the baseline (null). Bullets indicate data with no signal (null hypothesis), while `+' indicates results from data with a bright additional component. }}{12}} \newlabel{fg:datons000539msk100scatter}{{6}{12}} \@writefile{lof}{\contentsline {figure}{\numberline {7}{\ignorespaces Faint Unknown Source, Baseline Shape Mis-Specicified --- Model+Data: a) Left: Baseline is physical model of all-sky diffuse emission $>$1\nobreakspace {}GeV, but with intensity distribution of IC component gradually suppressed above the Galactic plane; b) Right: Poisson data simulated from same spatial shape as the physical model in Figure 2. }}{13}} \newlabel{fg:datonsHSqmsk100model}{{7}{13}} \@writefile{lof}{\contentsline {figure}{\numberline {8}{\ignorespaces Faint Unknown Source, Baseline Shape Mis-Specified---Results, Scale Fixed: a) Left: mean value in each pixel from 900 draws of multiscale model (i.e., EMC2 run); b) Right: sigma of same. (The skew and kurtosis follow the same pattern as in the previous example.) Recall these moments display only the shape of the unknown component. Significance is assessed as in Figure 9. }}{13}} \newlabel{fg:datonsHSqFixmsk100mean}{{8}{13}} \@writefile{lof}{\contentsline {figure}{\numberline {9}{\ignorespaces Calibrating results---Null vs Faint Unknown: a) Left --- Baseline scale floats free: Scatter plot of $\mathop {\mathgroup \symoperators log}\nolimits _{10}$ of total number of counts inferred to be in the multscale model for each of the draws, versus $\mathop {\mathgroup \symoperators log}\nolimits _{10}$ of the baseline scale factor. Bullets indicate no signal (null hypothesis). A `+' indicates results from data witha faint additional component. b) Right --- Baseline scale fixed (at unity): Histogram of $\mathop {\mathgroup \symoperators log}\nolimits _{10}$ of total number of counts inferred to be in the multiscale model for the null (white) and data with faint additional componenent (gray). }}{14}} \newlabel{fg:datonsHSqmsk100scatter}{{9}{14}} \bibcite{Bertschetal(1993)}{{1}{1993}{{Bertschetal}}{{}}} \bibcite{Bevington(1969)}{{2}{1969}{{Bevington}}{{}}} \bibcite{Bourdinetal(2001)}{{3}{2001}{{Bourdinetal}}{{}}} \bibcite{Cash(1976)}{{4}{1976}{{Cash}}{{}}} \bibcite{Cash(1979)}{{5}{1979}{{Cash}}{{}}} \bibcite{Coifman and Donoho, 1995}{{6}{1995}{{Coifman and Donoho}}{{}}} \bibcite{Dixonetal(1999)}{{7}{1999}{{Dixonetal}}{{}}} \bibcite{DixonKolaczyk(2000)}{{8}{2000}{{DixonKolaczyk}}{{}}} \bibcite{Drakeetal2006}{{Drakeetal2006}{}{{}}{{}}} \bibcite{Eadieetal(1971)}{{9}{1971}{{Eadieetal}}{{}}} \bibcite{AMSOOTHRef}{{AMSOOTHRef}{}{{}}{{}}} \bibcite{Elwe2003}{{Elwe2003}{}{{}}{{}}} \bibcite{Eschetal2004}{{Eschetal2004}{}{{}}{{}}} \bibcite{Espositoetal1996}{{Espositoetal1996}{}{{}}{{}}} \bibcite{Espositoetal(1999)}{{10}{1999}{{Espositoetal}}{{}}} \bibcite{FreemanWaveDetectRef1}{{FreemanWaveDetectRef1}{}{{}}{{}}} \bibcite{FreemanWaveDetectRef2}{{FreemanWaveDetectRef2}{}{{}}{{}}} \bibcite{Hartmanetal(1999)}{{11}{1999}{{Hartmanetal}}{{}}} \bibcite{Hunteretal(1997)}{{12}{1997}{{Hunteretal}}{{}}} \bibcite{Karovskaetal.(2005)}{{13}{2005}{{Karovskaetal.}}{{}}} \bibcite{KnoedelsederwaveletsRef}{{KnoedelsederwaveletsRef}{}{{}}{{}}} \bibcite{Kolaczyk(1997)}{{14}{1997}{{Kolaczyk}}{{}}} \bibcite{KolaczykNowak2004}{{KolaczykNowak2004}{}{{}}{{}}} \bibcite{KolaczykNowak2005}{{KolaczykNowak2005}{}{{}}{{}}} \bibcite{LamptonMargonBowyer(1976)}{{15}{1976}{{LamptonMargonBowyer}}{{}}} \bibcite{Longair1992}{{Longair1992}{}{{}}{{}}} \bibcite{Loredo(1992)}{{16}{1992}{{Loredo}}{{}}} \bibcite{LucyRef}{{LucyRef}{}{{}}{{}}} \bibcite{HEASARC-COSSC Format}{{HEASARC-COSSC Format}{}{{}}{{}}} \bibcite{MoskalenkoStrong(1998)}{{17}{1998}{{MoskalenkoStrong}}{{}}} \bibcite{MoskalenkoStrongReimer(1998)}{{18}{1998}{{MoskalenkoStrongReimer}}{{}}} \bibcite{Nolanetal 1992}{{Nolanetal 1992}{}{{}}{{}}} \bibcite{NowakKolaczyk2000}{{NowakKolaczyk2000}{}{{}}{{}}} \bibcite{PixonRef}{{PixonRef}{}{{}}{{}}} \bibcite{PressTeukolskyVetterlingFlannery(1992)}{{19}{1992}{{PressTeukolskyVetterlingFlannery}}{{}}} \bibcite{Protassov(2002)}{{20}{2002}{{Protassov}}{{}}} \bibcite{RichardsonRef}{{RichardsonRef}{}{{}}{{}}} \bibcite{Scargle2006}{{Scargle2006}{}{{}}{{}}} \bibcite{EarlyEMRef}{{EarlyEMRef}{}{{}}{{}}} \bibcite{MaxEntRef1}{{MaxEntRef1}{}{{}}{{}}} \bibcite{Starck,Pantin,Murtagh(2002)}{{21}{2002}{{Starck,Pantin,Murtagh}}{{}}} \bibcite{Starck,Murtagh(2006)}{{22}{2006}{{Starck,Murtagh}}{{}}} \bibcite{StrongMoskalenko(1998)}{{23}{1998}{{StrongMoskalenko}}{{}}} \bibcite{MaxEntRef2}{{MaxEntRef2}{}{{}}{{}}} \bibcite{GALPROPR1}{{GALPROPR1}{}{{}}{{}}} \bibcite{GALPROP2}{{GALPROP2}{}{{}}{{}}} \bibcite{GALPROP3}{{GALPROP3}{}{{}}{{}}} \bibcite{Thompsonetal(1993)}{{24}{1993}{{Thompsonetal}}{{}}} \bibcite{Willett(2006)}{{25}{2006}{{Willett}}{{}}} \bibcite{Young(2006)}{{26}{2006}{{Young}}{{}}} \global\NAT@numberstrue