From 9a81d75e8d80e44ffbe45ff5c9098207aa89fdbf Mon Sep 17 00:00:00 2001
From: Bas Nijholt <basnijholt@gmail.com>
Date: Mon, 16 Sep 2019 17:26:15 +0200
Subject: [PATCH] add figure

---
 figures/algo.pdf | Bin 0 -> 109658 bytes
 paper.md         |   5 ++++-
 2 files changed, 4 insertions(+), 1 deletion(-)
 create mode 100644 figures/algo.pdf

diff --git a/figures/algo.pdf b/figures/algo.pdf
new file mode 100644
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diff --git a/paper.md b/paper.md
index f623bb6..286ff61 100755
--- a/paper.md
+++ b/paper.md
@@ -36,10 +36,13 @@ If the goal of the simulation is to approximate a continuous function with the l
 Such a sampling strategy would trivially speedup many simulations.
 One of the most significant complications here is to parallelize this algorithm, as it requires a lot of bookkeeping and planning ahead.
 
+![The algorithm.
+](figures/algo.pdf){#fig:algo}
+
 #### We describe a class of algorithms relying on local criteria for sampling, which allow for easy parallelization and have a low overhead.
 Due to parallelization, the algorithm should be local, meaning that the information updates are only in a region around the newly calculated point.
 Additionally, the algorithm should also be fast in order to handle many parallel workers that calculate the function and request new points.
-A simple example is greedily optimizing continuity of the sampling by selecting points according to the distance to the largest gaps in the function values.
+A simple example is greedily optimizing continuity of the sampling by selecting points according to the distance to the largest gaps in the function values, as in Fig. @fig:algo.
 For a one-dimensional function with three points known (its boundary points and a point in the center), the following steps repeat itself:
 (1) keep all points $x$ sorted, where two consecutive points define an interval,
 (2) calculate the Euclidean distance for each interval (see $L_{1,2}$ in Fig. @fig:loss_1D),
-- 
GitLab