Bayesian Shape Calculation Examples
Categories
All (7)
Fourier (1)
MCMC (1)
SMLM (1)
calibration (1)
colormaps (1)
deconvolution (1)
filter (1)
fluorescence (1)
jumps (2)
lightness (1)
microscopy (2)
single-molecule (1)
steps (2)
template-search (2)
visualization (1)

Bayesian Shape Calculation Examples

This example gallery contains proof-of-principle examples showcasing how calculations of the shape of data using Bayesian inference can be utilized in techniques throughout the physical and life sciences.

These implementations focus on “toy problems” that mimic real experimental systems. Their purpose is not to provide robust solutions, but rather to demonstrate the breadth and simplicity of the Bayesian shape calcuation method. While the code and concepts displayed here are currently preliminary, we hope to develop them into stand-alone solutions in the future. In the meantime, the code for these examples is freely available for use.

Peak Finding

More Information

If these examples and/or the associated code are useful in your research project, please cite:

Ray, K. K., Verma, A. R., Gonzalez Jr, R. L., Kinz-Thompson, C. D. (2022). Inferring the shape of data: A probabilistic framework for analyzing experiments in the natural sciences. Proc. R. Soc. A. 478: 20220177. DOI: 10.1098/rspa.2022.0177

View the preprint: arXiv:2109.12462

Examples

Accuracy of color representation using Bayesian shape calculations

colormaps
lightness
visualization

This notebook shows an example to evaluate the accurate representation of data sets by using several current available color maps.

Mar 3, 2023
Andres Cifuentes-Lopez, Korak Ray, Anjali Verma, Ruben Gonzalez and Colin Kinz-Thompson

Transition Detection Using BITS

template-search
steps
jumps

The following notebook deals with identifying features, in this case, jump transitions, from a noisy signal containing multiple such jumps. We also investigate the computational advantages of using BITS over a full template approach.

Sep 8, 2022
Korak Ray, Anjali Verma, Ruben Gonzalez and Colin Kinz-Thompson

Automatic Aperture Filtering for Microscopy Using Shapes

microscopy
filter
Fourier

This notebook is an example of how to remove high frequency noise in your image by infering the shape of the aperture (in Fourier space) of your microscope.

Dec 8, 2021
Korak Ray, Anjali Verma, Ruben Gonzalez and Colin Kinz-Thompson

Super-resolution Microscopy using BITS

fluorescence
SMLM
microscopy
single-molecule

This notebook is an example of how to super resolve spots in fluorescence microscopy data (a la Single-Molecule Localization Microscopy).

Dec 8, 2021
Korak Ray, Anjali Verma, Ruben Gonzalez and Colin Kinz-Thompson

Template searching using BITS

template-search

The following notebook deals with identifying features, in this case, Gaussian peaks, from a noisy signal containing multiple such peaks.

Dec 1, 2021
Korak Ray, Anjali Verma, Ruben Gonzalez and Colin Kinz-Thompson

Signal processing using shapes

deconvolution
calibration
MCMC

The following notebook deals with the issue of deconvolving a signal, in this case, the fluorescence lifetime decay curve, from a (known or unknown) instrument response function. The data shown here has been collected from real experiments by CKT.

Dec 1, 2021
Korak Ray, Anjali Verma, Ruben Gonzalez and Colin Kinz-Thompson

Step Detection

steps
jumps

This notebook is an example of how to detect multiple steps of unknown size and location using shapes

Nov 21, 2021
Korak Ray, Anjali Verma, Ruben Gonzalez and Colin Kinz-Thompson
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