Update README.md

README.md

@@ -1,20 +1,19 @@
 # mew-supplementals
 
-Supplemental materials for the paper of [Most-Expected-Winner](https://doi.org/10.1145/3588702).
-
-## 1. Technical report
+This repository contains supplemental materials for the paper of [Most-Expected-Winner](https://doi.org/10.1145/3588702).
 
 Please refer to our [technical report](https://arxiv.org/abs/2105.00082) for the additional proofs, experiments, and the solver for RSM voting profiles.
 
-## 2. How to reproduce experiment results
+## Steps to reproduce all experiment results
 
-### 2.1 Hardware information
+### 1. Hardware setup
 
-All experiments were conducted on a machine with
+We ran all experiments on a Linux machine with the following specs:
 - CPU: 2 x Intel Xeon Platinum 8268 24-core 2.9GHz Processor
 - Memory: 384GB RAM
 
-### 2.2 Experiment environment setup
+
+### 2. Experiment environment setup
 
 The experiment code was in Python and all experiments were conducted on Linux. 
 
@@ -23,11 +22,11 @@ Below are the steps to prepare for an independent Python environment with requir
 1. Install [Miniconda](https://conda.io/projects/conda/en/stable/user-guide/install/linux.html)
 2. `conda env create -f environment.yml`
 
-### 2.3 Run all experiments
+### 3. Run all experiments
 
 Execute `run_experiments.sh`
 
-### 2.4 Generate all figures in paper
+### 4. Generate all figures in paper
 
 Each experiment has its own folder in `./experiments/real/` or `./experiments/synthetic/`. 
 - Fig. 3(a): `experiments/synthetic/posets_for_candidate_pruning/plot.ipynb`
@@ -48,6 +47,6 @@ Each experiment has its own folder in `./experiments/real/` or `./experiments/sy
 - Fig. 15: `experiments/synthetic/mpw_parallel_pluarlity/plot.ipynb`
 - Fig. 16: `experiments/synthetic/mpw_parallel_borda/plot_new.ipynb`
 
-In addition, you can find the experiment results in Table 6 in the files below:
+The experiment results in Table 6:
 - MovieLens: `experiments/real/movielens/movielens_output.tsv`
-- Travel: `experiments/real/travel/travel_output.tsv`
+- Travel: `experiments/real/travel/travel_output.tsv`