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Deep Learning for Symbolic Regression
Vastl, Martin ; Pilát, Martin (advisor) ; Neruda, Roman (referee)
Symbolic regression is a task of finding mathematical equation based on the observed data. Historically, genetic programming was the main tool to tackle the symbolic regres- sion, however, recently, new neural network based approaches emerged. In this work, we propose transformer based approach which predicts the expression as a whole without the need of finding the expression coefficients in post-processing step. We also use a local gradient search to further improve the expression coefficients. We compare our so- lution to previous approaches on several benchmarks and demonstrate, that our solution is comparable in terms of performance while outperforming them in terms of speed of the prediction in the average case. 1
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Private Labels
VASTL, Martin
Private label products encompass all merchandise sold under a retailer{\crq}s brand. That brand can be the retailer{\crq}s own name or a name created exclusively by that retailer. In some cases, a retailer may belong to a wholesale group that owns the brands that are available to only the members of the group. For the consumer, private label represents the opportunity to purchase quality food and non-food products at savings compared to manufacturer brands. Private label items consist of the same or even better ingredients than the manufacturer brands, and because the retailer{\crq}s name or symbol is on the package, the consumer is assured that the product meets the retailer{\crq}s quality standards. Private labels can be divided in three categories: economic, standard and exclusive. Manufacturers of private labels can be divided also in three categories: Large manufacturers who produce both their own brands and private label products; small and medium size manufacturers that specialise in particular products lines and concentrate on producing private label almost exclusively; and retailers and wholesalers that operate their own manufacturing plants and provide private label products from their own stores. The most developed private label region is in Europe. The countries with the highest private labels shares are Switzerland, Great Britain, Belgium, Germany and Spain. The Czech Republic is one of the fastest growing private label regions in Europe. The private label share has increased by 20 % since 2005.
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