Interactive Elements

Sometimes, I create interactive web elements to illustrate my research. Here are a few.

Graph Elimination

This toolbox demonstrates how the variable elimination ordering affects the sparsity of a triangular transport map. Try finding an order that reduces fill-in edges.

Kalman Filter

This sandbox demonstrates the influence of forecast and observation errors on the state estimates for a satellite in orbit obtained through a Kalman filter.

Analytic Element Model

This element demonstrates how a flow field changes in the presence of an impermeable wall, an injection and extraction well, and variable regional flow.

Particle Filter

This page includes a brief, informal description of how a particle filter can be used to correct the predictions and even parameters of a flawed model. 

Gaussian inference

This small element shows how the posterior changes for a Gaussian system when the prior, observation error, and observation value change.

Change of Variables

This interactive element shows how a function can transform a random variable x associated with a pdf p(x) into another random variable y associated with a pushforward pdf p(y).

Probability distributions

This page includes a few figures that use hair and eye colors to illustrate the differences between joint, marginal, and conditional probability distributions.