Probability Integral Transformations

Quesenberry, C. P.

doi:10.1002/0471667196.ess2067.pub2

Cited by 2 publications

(1 citation statement)

References 14 publications

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“…The first reference for each entry in this table comes from mathematics (mostly text books), then followed by one solar forecasting reference that typifies the application. A theorem stating that if a random variable X has a continuous distribution function F(x), then the random variable U = F(X) has a uniform distribution over the interval (0, 1); can be used as a metric for probabilistic forecast Quesenberry (2006); Verzijlbergh et al ( 2015)…”

Section: Mathematicsmentioning

confidence: 99%

History and trends in solar irradiance and PV power forecasting: A preliminary assessment and review using text mining

Yang¹,

Kleissl

Gueymard³

et al. 2018

Solar Energy

404

164

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Text mining is an emerging topic that advances the review of academic literature. This paper presents a preliminary study on how to review solar irradiance and photovoltaic (PV) power forecasting (both topics combined as "solar forecasting" for short) using text mining, which serves as the first part of a forthcoming series of text mining applications in solar forecasting. This study contains three main contributions: (1) establishing the technological infrastructure (authors, journals & conferences, publications, and organizations) of solar forecasting via the top 1000 papers returned by a Google Scholar search; (2) consolidating the frequently-used abbreviations in solar forecasting by mining the full texts of 249 ScienceDirect publications; and (3) identifying key innovations in recent advances in solar forecasting (e.g., shadow camera, forecast reconciliation). As most of the steps involved in the above analysis are automated via an application programming interface, the presented method can be transferred to other solar engineering topics, or any other scientific domain, by means of changing the search word. The authors acknowledge that text mining, at its present stage, serves as a complement to, but not a replacement of, conventional review papers.

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Section: Mathematicsmentioning

confidence: 99%

History and trends in solar irradiance and PV power forecasting: A preliminary assessment and review using text mining

Yang¹,

Kleissl

Gueymard³

et al. 2018

Solar Energy

404

164

View full text Add to dashboard Cite

show abstract

On the Usage of the Probability Integral Transform to Reduce the Complexity of Multi-Way Fuzzy Decision Trees in Big Data Classification Problems

Elkano

Uriz

Bustince

et al. 2018

2018 IEEE International Congress on Big Data (BigData Congress)

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We present a new distributed fuzzy partitioning method to reduce the complexity of multi-way fuzzy decision trees in Big Data classification problems. The proposed algorithm builds a fixed number of fuzzy sets for all variables and adjusts their shape and position to the real distribution of training data. A two-step process is applied : 1) transformation of the original distribution into a standard uniform distribution by means of the probability integral transform. Since the original distribution is generally unknown, the cumulative distribution function is approximated by computing the q-quantiles of the training set; 2) construction of a Ruspini strong fuzzy partition in the transformed attribute space using a fixed number of equally distributed triangular membership functions. Despite the aforementioned transformation, the definition of every fuzzy set in the original space can be recovered by applying the inverse cumulative distribution function (also known as quantile function). The experimental results reveal that the proposed methodology allows the state-of-the-art multi-way fuzzy decision tree (FMDT) induction algorithm to maintain classification accuracy with up to 6 million fewer leaves.

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Probability Integral Transformations

Cited by 2 publications

References 14 publications

History and trends in solar irradiance and PV power forecasting: A preliminary assessment and review using text mining

History and trends in solar irradiance and PV power forecasting: A preliminary assessment and review using text mining

On the Usage of the Probability Integral Transform to Reduce the Complexity of Multi-Way Fuzzy Decision Trees in Big Data Classification Problems

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