Parton branching at amplitude level
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep08(2019)145
Abstract: Abstract We present an algorithm that evolves hard processes at the amplitude level by dressing them iteratively with (massless) quarks and gluons. The algorithm interleaves collinear emissions with soft emissions and includes Coulomb/Glauber exchanges. It… read more here.
Keywords: parton branching; branching amplitude; amplitude level; coulomb exchanges ... See more keywords
Elementary factorisation of Box spline subdivision
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9612-x
Abstract: When a subdivision scheme is factorised into lifting steps, it admits an in–place and invertible implementation, and it can be the predictor of many multiresolution biorthogonal wavelet transforms. In the regular setting where the underlying… read more here.
Keywords: elementary factorisation; subdivision scheme; factorisation; box spline ... See more keywords
ON THE FACTORISATION OF $x^{2}+D$
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Australian Mathematical Society"
DOI: 10.1017/s0004972719000625
Abstract: Let $D$ be a positive nonsquare integer, $p$ a prime number with $p\nmid D$ and $0C_{2}$ with $x^{2}+D=p^{n}m$ we have $m>x^{\unicode[STIX]{x1D70E}}$ . As an application, we show that for $x\neq \{5,1015\}$ , if the equation… read more here.
Keywords: factorisation;
Non-negative matrix factorisation is the most appropriate method for extraction of muscle synergies in walking and running
Sign Up to like & getrecommendations! Published in 2020 at "Scientific Reports"
DOI: 10.1038/s41598-020-65257-w
Abstract: Muscle synergies provide a simple description of a complex motor control mechanism. Synergies are extracted from muscle activation patterns using factorisation methods. Despite the availability of several factorisation methods in the literature, the most appropriate… read more here.
Keywords: negative matrix; muscle; factorisation; matrix factorisation ... See more keywords
Relative Pairwise Relationship Constrained Non-Negative Matrix Factorisation
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Knowledge and Data Engineering"
DOI: 10.1109/tkde.2018.2859223
Abstract: Non-negative Matrix Factorisation (NMF) has been extensively used in machine learning and data analytics applications. Most existing variations of NMF only consider how each row/column vector of factorised matrices should be shaped, and ignore the… read more here.
Keywords: matrix factorisation; relationship; pairwise; non negative ... See more keywords
Multi-variate factorisation of numerical simulations
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DOI: 10.5194/gmd-14-4307-2021
Abstract: Abstract. Factorisation (also known as “factor separation”) is widely used in the analysis of numerical simulations. It allows changes in properties of a system to be attributed to changes in multiple variables associated with that… read more here.
Keywords: numerical simulations; multi variate; factorisation numerical; factorisation ... See more keywords