diff --git a/README.md b/README.md
index 4c575e6..33b5282 100644
--- a/README.md
+++ b/README.md
@@ -3,6 +3,7 @@
 [![Latest Docs](https://img.shields.io/badge/docs-dev-blue.svg)](https://mathopt.github.io/DynamicOED.jl/dev/)
 [![Aqua QA](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl) [![SciML Code Style](https://img.shields.io/static/v1?label=code%20style&message=SciML&color=9558b2&labelColor=389826)](https://github.com/SciML/SciMLStyle) ![Lifecycle:Experimental](https://img.shields.io/badge/Lifecycle-Experimental-339999) 
 [![Build Status](https://github.com/mathopt/DynamicOED.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/mathopt/DynamicOED.jl/actions/workflows/CI.yml?query=branch%3Amain)
+[![ColPrac: Contributor's Guide on Collaborative Practices for Community Packages](https://img.shields.io/badge/ColPrac-Contributor's%20Guide-blueviolet)](https://github.com/SciML/ColPrac)
 
 Repository for optimal experimental design for differential equations using optimal control.
 
diff --git a/docs/src/examples/1D.md b/docs/src/examples/1D.md
index 48e92e7..3483964 100644
--- a/docs/src/examples/1D.md
+++ b/docs/src/examples/1D.md
@@ -69,7 +69,7 @@ constraint_equations = [
 ]
 
 @named constraint_system = ConstraintsSystem(
-    constraint_equations, collect(optimization_variables), []
+    constraint_equations, collect(optimization_variables), Num[]
 )
 nothing # hide
 ```
diff --git a/docs/src/examples/lotka.md b/docs/src/examples/lotka.md
index 66a7a32..89ea889 100644
--- a/docs/src/examples/lotka.md
+++ b/docs/src/examples/lotka.md
@@ -65,7 +65,7 @@ constraint_equations = [
 ]
 
 @named constraint_system = ConstraintsSystem(
-    constraint_equations, collect(optimization_variables), []
+    constraint_equations, collect(optimization_variables), Num[]
 )
 nothing # hide
 ```
diff --git a/docs/src/index.md b/docs/src/index.md
index 034f685..47cf7f3 100644
--- a/docs/src/index.md
+++ b/docs/src/index.md
@@ -64,7 +64,7 @@ constraint_equations = [
       sum(optimization_variables.measurements.w₁) ≲ 3,
 ]
 
-@named constraint_set = ConstraintsSystem(constraint_equations, optimization_variables,[])
+@named constraint_set = ConstraintsSystem(constraint_equations, optimization_variables, Num[])
 
 # Initialize the optimization problem
 optimization_problem = OptimizationProblem(oed_problem, AutoForwardDiff(),
diff --git a/paper/figures/lotka.pdf b/paper/figures/lotka.pdf
deleted file mode 100644
index 62a8822..0000000
Binary files a/paper/figures/lotka.pdf and /dev/null differ
diff --git a/paper/figures/lotka.png b/paper/figures/lotka.png
new file mode 100644
index 0000000..a33857c
Binary files /dev/null and b/paper/figures/lotka.png differ
diff --git a/paper/paper.md b/paper/paper.md
index c6cab62..6fa0132 100644
--- a/paper/paper.md
+++ b/paper/paper.md
@@ -108,7 +108,7 @@ constraint_equations = [
 ]
 
 @named constraint_system = ConstraintsSystem(
-    constraint_equations, optimization_variables, []
+    constraint_equations, optimization_variables, Num[]
 )
 
 optimization_problem = OptimizationProblem(
@@ -124,7 +124,7 @@ optimal_design = solve(optimization_problem, Ipopt.Optimizer();
 
 Several extensions are planned for the future. First, a multiple shooting approach is planned. Also, other steps to increase the efficiency of our implementation may be considered. For example, in the case of fixed initial values and controls, the integration of $x$ and $G$ need to be done only once and can be decoupled from the numerical integration of $F$ and the subsequent optimization over $w$. 
 
-![Differential states, sensitivities of the states with respect to the parameters and the optimal sampling design for Lotka-Volterra system. \label{fig:lotka}](figures/lotka.pdf)
+![Differential states, sensitivities of the states with respect to the parameters and the optimal sampling design for Lotka-Volterra system. \label{fig:lotka}](figures/lotka.png)
 
 
 # Acknowledgements