Outlier identification with the Harmonic Topographic Mapping
نویسندگان
چکیده
We review two versions of a topology preserving algorithm one of which we had previously [1] found to be more successful in defining smooth manifolds and tight clusters. In the context of outlier detection, however, the other is shown to be more successful. Nevertheless, we show that, by using local kernels for calculation of responsibilities, the first one can also be used in this manner.
منابع مشابه
Local multivariate outliers as geochemical anomaly halos indicators, a case study: Hamich area, Southern Khorasan, Iran
Anomaly recognition has always been a prominent subject in preliminary geochemical explorations. Among the regional geochemical data processing, there are a range of statistical and data mining techniques as well as different mapping methods, which serve as presentations of the outputs. The outlier’s values are of interest in the investigations where data are gathered under controlled condition...
متن کاملA statistical test for outlier identification in data envelopment analysis
In the use of peer group data to assess individual, typical or best practice performance, the effective detection of outliers is critical for achieving useful results. In these ‘‘deterministic’’ frontier models, statistical theory is now mostly available. This paper deals with the statistical pared sample method and its capability of detecting outliers in data envelopment analysis. In the prese...
متن کاملQuantization Errors in the Harmonic Topographic Mapping
We review two versions of a new topology preserving mapping, the HaToM. This mapping has previously been investigated as a data visualization tool but, in this paper, we investigate empirically the quantization errors in both versions of the mapping. We show that the more model driven version does not minimise the quantization error either when it is calculated in the usual manner or when we us...
متن کاملTopology-Preserving Mappings for Data Visualisation
We present a family of topology preserving mappings similar to the Self-Organizing Map (SOM) and the Generative Topographic Map (GTM) . These techniques can be considered as a non-linear projection from input or data space to the output or latent space (usually 2D or 3D), plus a clustering technique, that updates the centres. A common frame based on the GTM structure can be used with different ...
متن کاملThe Topographic Neural Gas
We have recently investigated a family of algorithms which use the underlying latent space model developed for the Generative Topographic mapping(GTM) but which train the parameters in a different manner. Our first model was the Topographic Product of Experts (ToPoE) which is fast but not so data-driven as our second model, the Harmonic Topographic Mapping (HaToM). However the HaToM is much slo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006