Sonification of McMC Simulations
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Authors: Thomas Hermann, Mark H. Hansen, Helge Ritter
(ICAD 2001, July/August 2001, Espoo/Finnland)

Example E0: Using audification of particle trajectories (section
3.3 in the paper).
Listen to a single particle converging to a mode in a threemodal density
function p. This example corresponds to figure 2 in the paper. Files: WAVEfile.
Listen to a similar particle with an increased friction coefficient
of 0.9996. On each step, the kinetic energy is reduced to E(t+1) = 0.9996
E(t), resulting in an exponential decay of energy. Sounds: WAVEfile

Example E1: Audification of particle trajectories started at McMC
steps (section 5.1 in the paper).

(a) The Audification of 100 McMC steps in a distribution p with
3 modes
Soundfile: WAVEFile

(b) This example is rendered for a data set in 6d data space with
3 clusters. To give an impression how these audifications may sound like
we give 3 examples, differing in nr. of steps (N), time between steps (TimePerStep)
and friction coefficient (gamma)

Soundfile (a): T = ##, N = ##, gamma = ##  WAVEfile MP3file

Soundfile (b): T = ##, N = ##, gamma = ##  WAVEfile MP3file

Soundfile (c): T = ##, N = ##, gamma = ##  WAVEfile MP3file

Example E2: Using McMC process stream, AIB stream and McMC
details stream as introduced in the paper
This examples are discussed in the paper in section 5.2.

(a) dataset: 3 clusters in 6 dimensional space. T = 0.01

(b) dataset: 3 clusters in 6 dimensional space. T = 0.002

(c) dataset: 6 clusters in 6 dimensional space, T = 0.008

(d) dataset: 3 clusters in 6 dim. space, T = 0.002, p computed by
kernel density estimation but now with a kernel of bandwidth sigma such
that p is unimodal.

Example E3: Sonification of McMC simulations for handwritten digits
(section 5.3 in the paper)

Example E4: Sonification of McMC simulations for Bayesian Models
(section 5.4 in the paper)

Example E5: Sonification of McMC simulation on iris dataset
This examples are discussed in the paper in section 5.5.
The following examples are sonification with