From 49266d49cfb99c51b6510d8ee8448cc865844f28 Mon Sep 17 00:00:00 2001
From: Americo Cunha <36556019+americocunhajr@users.noreply.github.com>
Date: Mon, 5 Aug 2024 10:51:04 -0300
Subject: [PATCH] Update README.md

---
 README.md | 3 +++
 1 file changed, 3 insertions(+)

diff --git a/README.md b/README.md
index e74028d..37065c0 100644
--- a/README.md
+++ b/README.md
@@ -187,6 +187,9 @@ end
 <img src="logo/Fig13-Example6.png" width="80%">
 </p>
 
+#### Note on Stochastic Nature of CEopt
+The CE method, which underpins the CEopt package, is inherently stochastic. This means that each run of the optimization process might follow a different trajectory towards the optimum due to the random sampling involved in the method. Therefore, it is entirely normal for repeated executions of the same optimization task to yield different paths or convergence profiles. Users are encouraged to consider multiple runs or adjust the `sigma0` parameter to manage the exploration-exploitation balance and potentially achieve more consistent results.
+
 ### Reproducibility
 The tutorials of **CEopt** package are fully reproducible. You can find a fully reproducible capsule of the simulations on <a href="https://codeocean.com/capsule/xxx" target="_blank">CodeOcean</a>.