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Faktorizacija rangirnih matrik s pomočjo celoštevilske optimizacije
ID BASTL, MIHA (Author), ID Oblak, Polona (Mentor) More about this mentor... This link opens in a new window

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Abstract
Podatki, ki predstavljajo rangiranja, so zelo pogosti, vendar obstaja le malo primernih metod za delo z njimi. Tovrstne podatke najdemo pri tekmovanjih, preferencah uporabnikov, raznih glasovanjih, primerni so pa tudi za predstavitev drugače težko primerljivih podatkov. Implementirali smo dva algoritma faktorizacije rangirnih matrik nad max-krat polkolobarjem in celoštevilsko optimizacijo, ki jo uporabljata. Algoritem Sparse mRMF išče ponavljajoča se podzaporedja rangiranj v vrsticah rangirne matrike. Algoritem mRMT pa išče tlakovce visokih rangov. Podatke o povezavi med izražanjem genov in vrsto raka smo pretvorili v rangirane podatke in na njih pokazali, da algoritem mRMT sam najde obstoječe klasifikacije tipov raka.

Language:Slovenian
Keywords:Matrična faktorizacija, faktorizacija nad polkolobarji, celoštevilska optimizacija, rangirani podatki, rangirne matrike, Sparse mRMF, mRMT
Work type:Bachelor thesis/paper
Organization:FRI - Faculty of Computer and Information Science
Year:2019
PID:20.500.12556/RUL-110520 This link opens in a new window
COBISS.SI-ID:1538360003 This link opens in a new window
Publication date in RUL:16.09.2019
Views:786
Downloads:172
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Secondary language

Language:English
Title:Matrix factorization of rank data with integer programming
Abstract:
Rank data is excessively common and ubiquitous, but not much research has been done for mining them and only few methods exist. We can find this kind of data in various competitions, user preferences and various voting events. Rank data is well suited for data that is hard to compare or differs in magnitude. We implemented two existing rank matrix factorisation algorithms that use the max-product semiring and the integer programming that they employ. Algorithm Sparse mRMF searches for recurring subsequences of rankings in the rows of the rank matrix. Algorithm mRMT searches for tiles with high ranks. We turned data that links gene expression and cancer type into rank form and demonstrated that mRMT can, by itself, find existing subclassifications of cancer types.

Keywords:Matrix factorisation, semiring factorisation, integer programming, rank data, rank matrix, Sparse mRMF, mRMT

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