Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations"
Hermann T, Hansen MH, Ritter H (2001)
Bielefeld University.
Datenpublikation
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Abstract / Bemerkung
##### **Example E0:** Using audification of particle trajectories (section 3.3 in the paper).
Listen to a single particle converging to a mode in a three-modal density function p. This example corresponds to figure 2 in the paper. Files:[WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930311/E0a.wav).
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: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930312/E0b.wav)
##### **Example E1:** Audification of particle trajectories started at McMC steps (section 5.1 in the paper).
The Audification of 100 McMC steps in a distribution p with 3 modes
- Soundfile: [WAVE-File](https://pub.uni-bielefeld.de/download/2930310/2930313/E1.wav)
##### **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 - McMC stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930322/E2a_stream1.wav) - McMC details stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930323/E2a_stream2.wav) - AIB stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930324/E2a_stream3.wav) - All streams together: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930321/E2a_mix.wav) **(b)** dataset: 3 clusters in 6 dimensional space. T = 0.002 - McMC stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930326/E2b_stream1.wav) - McMC details stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930327/E2b_stream2.wav) - AIB stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930328/E2b_stream3.wav) - All streams together: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930325/E2b_mix.wav) **(c)** dataset: 6 clusters in 6 dimensional space, T = 0.008 - McMC stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930330/E2c_stream1.wav) - McMC details stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930331/E2c_stream2.wav) - AIB stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930332/E2c_stream3.wav) - All streams together: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930329/E2c_mix.wav) **(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. - All streams together: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930333/E2d_mix.wav) ##### **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
**(a)** dataset: 3 clusters in 6 dimensional space. T = 0.01 - McMC stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930322/E2a_stream1.wav) - McMC details stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930323/E2a_stream2.wav) - AIB stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930324/E2a_stream3.wav) - All streams together: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930321/E2a_mix.wav) **(b)** dataset: 3 clusters in 6 dimensional space. T = 0.002 - McMC stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930326/E2b_stream1.wav) - McMC details stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930327/E2b_stream2.wav) - AIB stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930328/E2b_stream3.wav) - All streams together: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930325/E2b_mix.wav) **(c)** dataset: 6 clusters in 6 dimensional space, T = 0.008 - McMC stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930330/E2c_stream1.wav) - McMC details stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930331/E2c_stream2.wav) - AIB stream: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930332/E2c_stream3.wav) - All streams together: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930329/E2c_mix.wav) **(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. - All streams together: [WAVE-file](https://pub.uni-bielefeld.de/download/2930310/2930333/E2d_mix.wav) ##### **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
| bandwidth scaling exponent | soundfile |
| 0.5 | WAVE-file |
| 0.25 | WAVE-file |
| 0 | WAVE-file |
| -0.25 | WAVE-file |
| -0.5 | WAVE-file |
| -0.75 | WAVE-file |
| -1 | WAVE-file |
Erscheinungsjahr
2001
Copyright und Lizenzen
Page URI
https://pub.uni-bielefeld.de/record/2930310
Zitieren
Hermann T, Hansen MH, Ritter H. Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations". Bielefeld University; 2001.
Hermann, T., Hansen, M. H., & Ritter, H. (2001). Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations". Bielefeld University. doi:10.4119/unibi/2930310
Hermann, Thomas, Hansen, Mark H., and Ritter, Helge. 2001. Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations". Bielefeld University.
Hermann, T., Hansen, M. H., and Ritter, H. (2001). Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations". Bielefeld University.
Hermann, T., Hansen, M.H., & Ritter, H., 2001. Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations", Bielefeld University.
T. Hermann, M.H. Hansen, and H. Ritter, Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations", Bielefeld University, 2001.
Hermann, T., Hansen, M.H., Ritter, H.: Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations". Bielefeld University (2001).
Hermann, Thomas, Hansen, Mark H., and Ritter, Helge. Supplementary Material for "Sonification of Markov-chain Monte Carlo Simulations". Bielefeld University, 2001.
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Material in PUB:
Frühere Version
Sonification of Markov-chain Monte Carlo Simulations
Hermann T, Hansen MH, Ritter H (2001)
In: Proceedings of 7th International Conference on Auditory Display. Hiipakka J, Zacharov N, Takala T (Eds); Helsinki University of Technology: Laboratory of Acoustics and Audio Signal Processing and the Telecommunications Software and Multimedia Laboratory: 208-216.
Hermann T, Hansen MH, Ritter H (2001)
In: Proceedings of 7th International Conference on Auditory Display. Hiipakka J, Zacharov N, Takala T (Eds); Helsinki University of Technology: Laboratory of Acoustics and Audio Signal Processing and the Telecommunications Software and Multimedia Laboratory: 208-216.
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