removed subsubsection

TeX Live 2016 doesn't work with section and content on the same line.
This commit is contained in:
Heng Li 2017-08-03 17:58:36 -04:00
parent e8d00a8c8c
commit c70b20ee6d
2 changed files with 9 additions and 6 deletions

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@ -518,7 +518,8 @@
\def\subsubsection{%
\@startsection{subsubsection}{3}{\z@}
{-11\p@ plus -1\p@}{-1em}
%{-11\p@ plus -1\p@}{-1em}
{-11\p@ plus -1\p@}{0.001em}
{\reset@font\normalfont\normalsize\itshape}}
\def\textcolon{\text{\rm :}}
@ -885,7 +886,8 @@
{\reset@font\raggedright\mathversion{bold}\fontseries{b}\fontsize{10}{12}\selectfont}}
\def\subsubsection{%
\@startsection{subsubsection}{3}{\z@}
{-6\p@ plus -1\p@}{-1em}
% {-6\p@ plus -1\p@}{-1em}
{-6\p@ plus -1\p@}{0.001em}
{\reset@font\normalfont\normalsize\itshape}}
\footnotesize
\par}

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@ -65,7 +65,7 @@ and the ability to produce detailed alignment.
\subsection{Chaining}
\subsubsection{Chaining}
%\subsubsection{Chaining}
An \emph{anchor} is a 3-tuple $(x,y,w)$, indicating interval $[x-w+1,x]$ on the
reference matching interval $[y-w+1,y]$ on the query. Given a list of anchors
sorted by the ending reference position $x$, let $f(i)$ be the maximal chaining
@ -96,7 +96,7 @@ score after up to $h$ iterations. This approach reduces the average time to
$O(h\cdot m)$. In practice, we can almost always find the optimal chain with
$h=50$; even if the heuristic fails, the optimal chain is often close.
\subsubsection{Backtracking}
%\subsubsection{Backtracking}
Let $P(i)$ be the index of the best predecessor of anchor $i$. It equals 0 if
$f(i)=w_i$ or $\argmax_j\{f(j)+\eta(j,i)-\gamma(j,i)\}$ otherwise. For each
anchor $i$ in the descending order of $f(i)$, we apply $P(\cdot)$ repeatedly to
@ -104,7 +104,7 @@ find its predecessor and mark each visited $i$ as `used', until $P(i)=0$ or we
reach an already `used' $i$. This way we find all chains with no anchors used
in more than one chains.
\subsubsection{Identifying primary chains}
%\subsubsection{Identifying primary chains}
In the absence of copy number changes, each query segment should not be mapped
to two places in the reference. However, chains found at the previous step may
have significant or complete overlaps due to repeats in the reference.
@ -233,6 +233,7 @@ issues.
\bibliography{minimap2}
\pagebreak
\appendix
\begin{methods}
\section*{Appendix}
@ -317,7 +318,6 @@ y_{rt}&=&\max\{0,y_{r-1,t}+u_{r-1,t}-z_{rt}+q\}-q-e\\
In this formulation, cells with the same row index $r$ are independent of each
other. This allows us to fully vectorize the computation of all cells on the
same anti-diagonal in one inner loop.
On the condition that $q+e<\tilde{q}+\tilde{e}$ and $e>\tilde{e}$, the boundary
condition of this equation in the diagonal-anti-diagonal coordinate is
\[
@ -336,6 +336,7 @@ r\cdot(e-\tilde{e})-(\tilde{q}-q)-\tilde{e} & (r=\lceil\frac{\tilde{q}-q}{e-\til
-\tilde{e} & (r>\lceil\frac{\tilde{q}-q}{e-\tilde{e}}-1\rceil)
\end{array}\right.
\]
\citet{Suzuki:2016} first derived a similar set of equations under affine gap
cost but with different notations.
\end{methods}