Fitting mixtures of regression lines with the forward search: application to clustering and outlier detection
author:
Domenico Perrotta,
Joint Research Centre
author: Andrea Cerioli, Università degli Studi di Parma
author: Andrea Cerioli, Università degli Studi di Parma
Description
The forward search is a method for detecting unidentified subsets and
masked outliers and for determining their effect on models fitted to the data.
This talk describes a semi-automatic approach to outlier detection and clustering
through the forward search. We address challenging issues including selection
of the number of groups. The performance of the algorithm is shown on several
trade data sets relevant for fraud detection problems.
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| Slides | |
| 0:00 | Fitting mixtures of regression lines |
| 1:15 | Contents |
| 1:48 | Multivariate Normality |
| 3:28 | Obscured Structure |
| 4:34 | An example of masking with clustered data (1) |
| 5:34 | An example of masking with clustered data (2) |
| 8:34 | An example of masking with clustered data (3) |
| 9:25 | Introductory example: lessons |
| 10:17 | An example of masking with clustered data (2) |
| 11:29 | Introductory example: lessons |
| 11:33 | The Forward Search: a few references |
| 12:23 | The Forward Search: Structure |
| 16:53 | The Forward Search: Distances for Multivariate Outlier Detection |
| 19:33 | The Forward Search: One Population |
| 20:36 | The Forward Search: Scaled distances |
| 21:35 | Swiss Heads |
| 22:43 | Swiss Heads 2 |
| 23:35 | Swiss Heads 3 |
| 23:46 | The Forward Search: Outliers |
| 25:33 | Swiss Heads: Minimum Distance |
| 26:35 | The Forward Search: Simulation Envelopes (1) |
| 27:55 | The Forward Search: Simulation Envelopes (2) |
| 28:20 | The Forward Search: Several Populations |
| 28:41 | Swiss Banknote Data (1) |
| 29:50 | Swiss Banknote Data (2) |
| 30:39 | Swiss Banknote Data 2 |
| 31:33 | Swiss Banknote Data 3 |
| 33:55 | Swiss Banknote Data 4 |
| 34:28 | Forged Swiss Banknotes – Envelopes 1 |
| 34:32 | Forged Swiss Banknotes – Envelopes 2 |
| 36:28 | Forged Swiss Banknotes – Envelopes 3 |
| 37:05 | The Forward Search: Unknown Populations |
| 37:39 | Swiss Banknote Data Revisited |
| 37:44 | Swiss Banknote Data Revisited 2 |
| 39:22 | Swiss Banknote Data Revisited 3 |
| 39:24 | Interrogating the Plots |
| 40:07 | Comparison with Standard Cluster Analysis |
| 42:54 | Confirmatory steps |
| 42:56 | The Forward Search: Distribution |
| 44:00 | The Forward Search: Distribution 2 |
| 44:44 | The Forward Search: Distribution 3 |
| 45:40 | The Forward Search: Procedure |
| 45:45 | The Forward Search: Procedure 2 |
| 45:48 | The Forward Search: Procedure 3 |
| 46:08 | The Forward Search: Evidence |
| 48:49 | The Forward Search: Evidence 2 |
| 49:19 | Forward Search: Summary |
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