diff --git a/docs/source/notebooks/ODE_API_introduction.ipynb b/docs/source/notebooks/ODE_API_introduction.ipynb index 5544b27cf473aea901696ed0499d822a0ec0a546..afc338af6ec6cf9032a5d3e4d30639e1b7b3c516 100644 --- a/docs/source/notebooks/ODE_API_introduction.ipynb +++ b/docs/source/notebooks/ODE_API_introduction.ipynb @@ -28,10 +28,10 @@ "Ordinary differential equations (ODEs) are a convenient mathematical framework for modelling the temporal dynamics of a system in disciplines from engineering to ecology. Though most analyses focus on bifurcations and stability of fixed points, parameter and uncertainty estimates are more salient in systems of practical interest, such as population pharmacokinetics and pharmacodynamics.\n", "\n", "\n", - "Both parameter estimation and uncertainty propagation are handled elegantly by the Bayesian framework. In this notebook, I showcase how PyMC3 can be used to do inference for differential equations using the ode submodule. \n", + "Both parameter estimation and uncertainty propagation are handled elegantly by the Bayesian framework. In this notebook, I showcase how PyMC3 can be used to do inference for differential equations using the ode submodule. While the current implementation is quite flexible and well integrated, more complex models can easily become slow to estimate. A new package that integrates the much faster sundials package into PyMC3 called sunode can be found [here](https://github.com/aseyboldt/sunode). \n", "\n", "\n", - "# Catching Up On Differential Equations\n", + "## Catching Up On Differential Equations\n", "\n", "A differential equation is an equation relating an unknown function's derivative to itself. We usually write differentual equations as \n", "\n", @@ -42,7 +42,7 @@ "Only a small subset of differential equations have an analytical solution. For most differential equations of applied interest, numerical methods must be used to obtain approximate solutions.\n", "\n", "\n", - "# Doing Bayesian Inference With Differential Equations\n", + "## Doing Bayesian Inference With Differential Equations\n", "\n", "PyMC3 uses Hamiltonian Monte Carlo (HMC) to obtain samples from the posterior distribution. HMC requires derivatives of the ODE's solution with respect to the parameters $p$. The ode submodual automatically computes appropriate derivatives so you don't have to. All you have to do is \n", "\n", @@ -52,7 +52,7 @@ "\n", "Let's see how this is done in practice with a small example.\n", "\n", - "# A Differential Equation For Freefall\n", + "## A Differential Equation For Freefall\n", "\n", "An object of mass $m$ is brought to some height and allowed to fall freely until it reaches the ground. A differential equation describing the object's speed over time is \n", "\n", @@ -60,13 +60,7 @@ "\n", "The force the object experiences in the downwards direction is $mg$, while the force the object experiences in the opposite direction (due to air resistance) is proportional to how fast the object is presently moving. Let's assume the object starts from rest (that is, that the object's inital velocity is 0). This may or may not be the case. To showcase how to do inference on intial conditions, I will first assume the object starts from rest, and then relax that assumption later.\n", "\n", - "Data on this object's speed as a function of time is shown below. The data may be noisy because of our measurement tools, or because the object is an irregular shape, thus leading to times during freefall when the object is more/less aerodynamic. Let's use this data to estimate the proportionality constant for air resistance.\n", - "\n", - "\n", - "\n", - "\n", - "\n", - "\n" + "Data on this object's speed as a function of time is shown below. The data may be noisy because of our measurement tools, or because the object is an irregular shape, thus leading to times during freefall when the object is more/less aerodynamic. Let's use this data to estimate the proportionality constant for air resistance." ] }, { @@ -76,14 +70,12 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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