From 1686759b7f217588a0e5421c25570c8cd41f4e96 Mon Sep 17 00:00:00 2001 From: feger <marc.feger@hhu.de> Date: Thu, 30 Jan 2020 17:25:22 +0100 Subject: [PATCH] Refactor --- recommender.tex | 4 ++-- submission.pdf | Bin 454495 -> 454535 bytes 2 files changed, 2 insertions(+), 2 deletions(-) diff --git a/recommender.tex b/recommender.tex index 5de986c..ff1817d 100644 --- a/recommender.tex +++ b/recommender.tex @@ -14,8 +14,8 @@ In the following, the two main approaches of \textit{collaborative-filtering} an Unlike the \textit{content-based recommender}, the \textit{collaborative-filtering recommender (CF)} not only considers individual \textit{users} and \textit{feature vectors}, but rather a \textit{like-minded neighborhood} of each \textit{user}. Missing \textit{user ratings} can be extracted by this \textit{neighbourhood} and \textit{networked} to form a whole. It is assumed that a \textit{missing rating} of the considered \textit{user} $u$ for an unknown \textit{item} $i$ will be similar to the \textit{rating} of a \textit{user} $v$ as soon as $u$ and $v$ have rated some \textit{items} similarly. The similarity of the \textit{users} is determined by the \textit{community ratings}. This type of \textit{recommender system} is also known by the term \textit{neighborhood-based recommender} \citep{DeKa11}. The main focus of \textit{neighbourhood-based methods} is on the application of iterative methods such as \textit{k-nearest-neighbours} or \textit{k-means}. A \textit{neighborhood-based recommender} can be viewed from two perspetives: The first and best known problem is the so-called \textit{user-based prediction}. Here, the \textit{missing ratings} of a considered \textit{user} $u$ are to be determined from his \textit{neighborhood} $\mathcal{N}_i(u)$. -$\mathcal{N}_i(u)$ denotes the subset of the \textit{neighborhood} of all \textit{users} who have a similar manner of evaluation to $u$ via the \textit{item} $i$. The second problem is that of \textit{item-based prediction}. Analogously, the similarity of the \textit{items} are determined by their received \textit{ratings}. -This kind of problem consideres the \textit{neighborhood} $\mathcal{N}_u(i)$ of all \textit{items} $i$ which were similar rated via the \textit{user} $u$. The similarity between the objects of a \textit{neighborhood} is determined by \textit{distance functions} such as \textit{mean-squared-difference}, \textit{pearson-correlation} or \textit{cosine-similarity}. +$\mathcal{N}_i(u)$ denotes the subset of the \textit{neighborhood} of all \textit{users} who have a similar manner of evaluation to $u$ and who have evaluated the unknown \textit{item} $i$. The second problem is that of \textit{item-based prediction}. Analogously, the similarity of the \textit{items} are determined by their received \textit{ratings}. +This kind of problem consideres the \textit{neighborhood} $\mathcal{N}_u(i)$ of all \textit{items} which were rated by \textit{user} $u$ and who are similar to $i$. The similarity between the objects of a \textit{neighborhood} is determined by \textit{distance functions} such as \textit{mean-squared-difference}, \textit{pearson-correlation} or \textit{cosine-similarity}. Figure \ref{fig:cf} shows a sketch of the general operation of \textit{collaborative-filtering} \textit{recommender}. \input{content-based-collaborative-filtering-comparison} diff --git a/submission.pdf b/submission.pdf index 41951d3b57bb2a2e9eed65a0a38c714a1f3bf085..cfb857bf1b55bab025994394090bcfaf3b1aeef4 100644 GIT binary patch delta 19599 zcmcbAPrCiS^oAY%j3$!{AE?%El|7lKvi<A2^)D7bQ)oN=m`#Ie$u*4*e#SR1o>@$1 z;p0h}aKmBJ{qv8bo+O8ET;<N3yyjihiR0VzQ$C-z*ZcFSefRY5yYKJS+`(~h&$UBw z_v-g?>^c1LzrxIE;_5p0f~J4hpDr(N8Qxa>)`Gpa-tynxNAZ*Y9X&7fzjHZzrmkJR zZpDu$hpHb&9;p5yG@~fA>W`RPwO{?#x=Rh$e@06>KKksmr1D_Pd4K!8_2La;;s<9w z{}Io=rI5#@HEQ3po33qk&WqNIUNYFGWz2q~#V`EQeT&!6zweHJuTdp(`P--M`sMcj zj_B7Px4s{15qvN9pZNUWMF%ZshOpWH|NQCs?)UZYE8J}DeVDQf4fp7|rA*<FZPa=^ zrF>1o9p+lkSx(Y_(v7!$PX8nPQD$S3k!#K|W4%1l^PEO+XKecRLdC%E(*gwnn@z3W zDt*cy&cs!+Y?$gOx1>M6MV<Te)ZGu)9*Bu!Rjcw8XkGg8wcTxx+?gBN^gQg-3z#bA zpFSWsLz~g6KBoG#jOcu>_s5nWnmfHVM=Rirl>72_CAkT07uWejseiQPV2wC(Xx|Ku 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