# Questions tagged [matrix-factorisation]

In the mathematical discipline of linear algebra, a matrix decomposition or matrix factorization is a factorization of a matrix into a product of matrices.

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### Python Faces Image Reconstruction: NMF algorithm : Error: reconstructed faces is blank missing

*** Problem Statement *** NMF and PLSI faces.npy face images emoticons with eight different human faces each of which is a vectorized 2D array, 441 dimensional vectors into a 21 × 21 2D array. ...
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### Addressing prolonged high matrix profile values in anomaly detection

In an anomaly detection task, I have a data stream where each new data point is generated every 5 minutes. When a new data point arrives, I compute the matrix profile using Stumpy's stumpi function. ...
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### ML recommendation techniques where all users are not in training set

I have a list of orders, which contains a list of items. I need to use machine learning to suggest other items to customers based purely on their basket at the time of checkout, considering the ...
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### Surprise NMF object is not callable

I am building a recommender system using the Sushi Preference Dataset and the NMF (Non-negative Matrix Factorization) model. I am implementing the same using the Surprise library. I want to use ...
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### Left Singular Vectors and Right Singular Vectors in SVD

Figure 7: The canonical diagram of the SVD decomposition of a matrix M. The columns of U are the orthonormal left singular vectors; Σ is a diagonal matrix of singular values; and the rows of V^⊤ are ...
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### cost function including constrain on vector norm

I'm playing with collaborative implementation using numpy. As a reminder, we are given a matrix $R$ of user ratings for movies. Let's assume there are 3 users and 4 movies. The data matrix we are ...
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### Matrix factorization approximate products to solve math solution

Problem Matrix factorization for approximating products how do we solve such that Z approximates products N, M. How to define the math formula for solve for Z approximtaes the products of N,M? ...
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### What is n_factors in surprise SVD

The documentation of Surprise library is not that great. Can someone please help with details of n_factors in SVD method of Surprise. It simply says: n_factors – The number of factors. Default is 100....
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### How to do binning in matrix data

I have some data like ...
1 vote
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### understanding the factorisation machine formula

I am reading this tutorial about factorisation machines. I get the intuition behind it, compute the dot product between the (user/item)+(item/aux features)+(user/aux features). This dot product can ...
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1 vote
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### How do the authors get this updating formula for all $\beta$ in $\beta$-divergence

I'm reading the paper Algorithms for nonnegative matrix factorization with the β-divergence by Cédric Févotte and Jérôme Idier. Package scikit-learn uses their algorithm for module sklearn....
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### Treating recommender systems as multiclass classification or binary classification problem

I'm thinking about the two following approaches for building a recommender system to recommend products using implicit data as a classifier: Treat it as a multi-class classification problem. The ...
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### Advantages of matrix factorization when the number of products is low

I'm building a recommender system where the number of products is rather low (around 50), and we can assume it'll stay the same for a long time. I'm looking at two different way of tackling the ...
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### Calculate implicit rating from streaming behaviour for Recommendation Engine

I have a dataset containing some user streams data for particular videos like below: ...
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1 vote
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### Non-negative Matrix Factorization for clustering

I'm learning to user NMF to do clustering. Based on the reading What is a good explanation of Non Negative Matrix Factorization? and https://iksinc.online/2016/03/21/what-is-nmf-and-what-can-you-do-...
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1 vote
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### Temporal train test split for recommender systems

When evaluating a collaborative filtering recommender system, it is practical to split the data temporally. However, by doing so, some users might be present in only either of the train or test set. ...
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1 vote
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### Matrix factorization how to initialize weights and biases?

I have a matrix factorization and I'm wondering how I should initialize its weights and biases. When getting prediction (recommendation), after computing a dot product and adding bias I want to use ...
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### What is the best model for a recommendation system using implicit ratings?

I have a similariy matrix that looks like this: I have a bunch of user vectors with 1s and 0s, with a 1 indicating that someone has clicked on an email (as part of a campaign) and zero to indicate ...
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### How to filter Items in Recommender Systems?

I have a Recommender System which recommends Articles based on Similarity from 3 Features, "Page-Title, Article Content, Tags". But some of the Articles are NSFW(Related to Adult Topics). I ...
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### Negative Latent Factors in Factorized Machines

I'm studing a specific implementation of a recommendation system leveraging on a factorization machine algorithm. For each person_id and ...
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1 vote
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### How do I approach this problem?

Let's say I have a dataset with multiple types of multiple ingredients ($salt_1$,$salt_2$, etc). Each $n\text{-th}$ variation of each ingredient vs flavor may be represented by an $n \times k$ matrix ...
1 vote
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### How do I perform K-Means clustering of the Olivetti Dataset

This Question pertains to Matrix Factorization and the full question is given below. Provide for k-means clustering of the Olivetti dataset the following visualizations: A scatter plot of the r = 2-...
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### How to create a model and make predictions with LightFM?

I've been researching on how to develop a hybrid recommender system for a simple book dataset, the main goal is to use both explicit data (purchases) and latent factors (features) to make the ...
1 vote
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### Intuitive explanation of difference between PCA and SVD [closed]

Can someone explain the difference between SVD and PCA with real life example?
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### What is the scikit learn Non-negative Matrix Factorisation Coordinate Descent algorithm?

What is the scikit-learn Coordinate Descent (CD) algorithm for Non-negative Matrix Factorization (NMF)? The sklearn implementation of NMF has two different solvers, Coordinate Descent and ...
1 vote
696 views

### Differences and similarities between nonnegative PCA and nonnegative matrix factorization

I have seen references in the literature to nonnegative principal component analysis (nPCA) and nonnegative matrix factorization (NMF). I have tried reading the papers on both of them but it is not ...
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1 vote
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### Mobile App Recommendation: How to get the rate of a specific user submit for a specific application [closed]

I have a mobile app recommendation project, so I need data set which has user-app matrix-rate. Actually, I want to know what rate does a specific user submit for a specific application. in other words,...
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