restricted boltzmann machines for collaborative filtering pdf

In order to address these issues, Conditional Restricted Boltzmann Machines (CRBMs) which could take auxiliary information into account to collaborative filtering tasks are applied. /Subtype /Form Restricted Boltzmann Machines for Collaborative Filtering Authors: Ruslan Salakhutdinov Andriy Mnih ... RBMs for Collaborative filtering 11 FACT: The number of movies each user has rated is far less than the total number of movies M. KEY IDEA #1: For each user build a different RBM . 6 0 obj [PDF Single Space] Inductive Principles, RBMs and Deep Learning. Restricted Boltzman Machines (RBMs) have been successfully used in recommender systems. /Resources 17 0 R PROPOSEDMODEL •Employs the Restricted Boltzmann Machine (RBM) for collaborative filtering. Restricted Boltzmann Machines for Collaborative Filtering Ruslan Salakhutdinov Andriy Mnih Geo rey Hinton November 29, 2016 ... Binglin Chen RBM for Collaborative Filtering November 29, 2016 2 / 22. •CF prediction accuracy significantly decreases when ratings are very sparse thus limiting the extraction of useful features. 1 0 obj INTRODUCTION With the worldwide boom of E-Commerce (business-to-client) research in recommender systems has become one of the top priorities both for … Notes x���P(�� �� Multilayer Perceptron (MLP) [2015 arXiv] NNMF: Neural Network Matrix Factorization. Restricted Boltz- mann Machine(RBM) model rivals the best collaborative filtering meth- ods, but it focuses on modeling the correlation between item ratings. In classical factor analysis each movie could be explained in terms of a set of latent factors. 14 0 obj /Type /XObject Lets assume some people were asked to rate a set of movies on a scale of 1–5 stars. 2 0 obj <> endstream /Type /XObject Keywords: Fitness recommender system, Collaborative filtering techniques, Content based methods, Probabilistic matrix factorization, Restricted boltzmann machines, Thyroid disorder, Exercise plans. PhD Thesis: Missing Data Problems in Machine Learning. 1) Collaborative filtering (CF) is a popular recommendation algorithm that bases its predictions and recommendations on the ratings or behavior of other users in the system. <> U���"DBA|��P|��*����w� ���-�V���F���`�Fծ?Wi�5�eE���{���ߦ��������1H�Ņ݊j��o���ꈊ����;���ױ!�28΅��k�y����+��B_:[email protected]�C8?���n����#��z��!�>ҍǃ���4��q��EF���A�?9�חs22���]$�^Tƃ�aj7P�!՝�]Sɞ Ѥ�~�`�w��#�3t 1148-1156 However, training the RBM model involves Markov-Chain Monte Carlo method, which is computationally expensive. �3t�z��2*�F0��N|��,��>�UQ����^@Ewq�͊t��M(xPVK�S�k��[:7ץ/�܋2�Rz�*T�� ٷ�)���Y֥Lv�O��= _��=n�m_�V"N��5M�t�Pg�KGIC}"����O)7%L�B� Ȕ��eR�}1jYo��ms���������$G&t�rv�����TH�p�C��m�Wj]�- ��N~�0�8�vWP޳�,#5�h2Xh�A��!-7��M��zZ� Using these methods they achieved a 10 percent increase in accuracy over Netflix’s existing algorithm. 08/01/2014 ∙ by Jiankou Li, et al. 2013BAH21B02-01) and the Beijing Natural Science Foundation (No. << 16 0 obj A restricted Boltzmann machine (RBM) is a generative stochastic artificial neural network that can learn a probability distribution over its set of inputs.. RBMs were initially invented under the name Harmonium by Paul Smolensky in 1986, and rose to prominence after Geoffrey Hinton and collaborators invented fast learning algorithms for them in the mid-2000. /FormType 1 Restricted Boltzmann machines for collaborative filtering. Therefore, the only way for the user to assess the quality of a recommendation is by following it. Popular model following Hinton: Restricted Boltzmann Machines observed variables: latent variables: with joint distribution on given by external fields Used in feature extraction, collaborative filtering and are the building block of deep belief networks stream << Each visible node takes a low-level feature from an item in the dataset to be learned. 791-798, 10.1145/1273496.1273596 Singular Value Decompositions (SVD) have become very popular in the field of Collaborative Filtering. endobj Restricted Boltzmann Machines for Collaborative Filtering Ruslan Salakhutdinov [email protected] Andriy Mnih [email protected] Geoffrey Hinton [email protected] University of Toronto, 6 King’s College Rd., Toronto, Ontario M5S 3G4, Canada Abstract Most of the existing approaches to collab-orative filtering cannot handle very large �[email protected]�� v�.� Explainable Restricted Boltzmann Machines for Collaborative Filtering can result in users not trusting the suggestions made by the recommender system. endobj 18 0 obj Suppose a … However, as with most of other collaborative filtering techniques, it cannot solve cold start problems for there is no rating for a new item. /BBox [0 0 8 8] [2016] Deep Neural Networks for YouTube Recommendations. Restricted Boltzman Machines (RBMs) have been successfully used in recommender systems. This study proposes a collaborative filtering technique using Preference Relation based Restricted Boltzmann Machine for recommender system. >> 3.1. /Matrix [1 0 0 1 0 0] /Length 15 endobj x��L����R��7�T6�R�T��*j[*�[email protected]��Ѵ�?��j��^��=^M�鿒v��c?�f���X��ؔ=k�Y�f�����[/Q �'O����O. Restricted Boltzmann Machine. 14 0 obj q 16 0 0 1 0 0 cm/Image6 Do Q Restricted Boltzmann Machines for Collaborative Filtering. The attributes of items are combined with the user’s behavior in the training of model and show that CRBMs could improve the accuracy of the prediction. /Subtype /Form /Filter /FlateDecode 08/01/2014 ∙ by Jiankou Li, et al. Conditional Restricted Boltzmann Machines for Cold Start Recommendations. A restricted Boltzmann machine (RBM) is a network of undirected graphical model with stochastic binary units . 4153058) At node 1 of the hidden layer, x is multiplied by a weight and added to a bias.The result of those two operations is fed into an activation function, which produces the node’s output, or the strength of the signal passing through it, given input x. 4 0 obj ∙ 0 ∙ share . <>>>/Length 29>> /BBox [0 0 16 16] <>>>/Length 29>> Collaborative Filtering Wikipedia: In the newer, narrower sense, collaborative ltering is a method of endobj <> K. Georgiev, P. NakovA non-IID framework for collaborative filtering with restricted Boltzmann machines Proceedings of the 30th International Conference on International Conference on Machine Learning, ICML’13 (2013), pp. Deep Collaborative Filtering via Marginalized Denoising Auto-encoder ... restricted Boltzmann machines as a two-layer undirected graphi-cal model consisting of binary hidden units and softmax visible ... multiple Boltzmann machines for user-based and item-based pro-cesses. This, however, is … ative, probabilistic model based on restricted Boltzmann machines, while AutoRec is a discriminative model based on autoencoders. The winning entry for the famed Netflix Prize had a number of SVD models including SVD++ blended with Restricted Boltzmann Machines. Working of Restricted Boltzmann Machine. Predictive Collaborative Filtering with Side Information ... restricted Boltzmann machines [Salakhutdinov et al., 2007], ... mation and the item meta-data into a unified Boltzmann ma-chine to form a hybrid recommender system. In this post, I will try to shed some light on the intuition about Restricted Boltzmann Machines and the way they work. A continuous restricted Boltzmann machine is a form of RBM that accepts continuous input (i.e. The full gradients with respect to the shared weight parameters can then be obtained by averaging over all N users. Every RBM has the %���� Collaborative filtering Restricted Boltzmann Machine User-based filtering Movie recommendation This is a preview of subscription content, log in to check access. Recent research has shown RBM-based approach has comparable performance with, even performs better than previous models on many collaborative filtering (CF) tasks. A restricted Boltzmann machine (RBM) is a generative stochastic artificial neural network that can learn a probability distribution over its set of inputs. R E S E A R C H Theses. /Filter /FlateDecode In this paper, we employ the Restricted Boltzmann Machine (RBM) for collaborative filtering and … In this paper, we focus on RBM based collaborative filtering recommendations, and further assume the absence of any additional data source, such as item content or user attributes. Third, training RBM-CF requires the use of con- Restricted Boltzmann Machines for Collaborative Filtering. This, however, is … This allows the CRBM to handle things like image pixels or word-count vectors that … This is supposed to be a simple explanation without going too deep into mathematics and will be followed by a post on an application of RBMs. /Length 15 Suppose a user rated m movies. RBMs have found applications in dimensionality reduction,classification,collaborative filtering, feature learningand topic modelling.They can be trained in either supervised or unsupervised ways, depending on the task. endobj endstream Conditional Restricted Boltzmann Machines for Cold Start Recommendations. Classification: … Singular Value Decompositions (SVD) have become very popular in the field of Collaborative Filtering. /FormType 1 stream Restricted Boltzmann machine Deep network structure Collaborative filtering Recommendation system Project supported by the National Science and Technology Support Plan (No. /Resources 15 0 R endobj Index Terms—Collaborative Filtering, Recommender Systems, Restricted Boltzmann Machine, Supervised Learning I. /Length 15 2004. Restricted Boltzmann machine (RBM) is a generative stochastic neural network that can be applied to collaborative filtering technique used by recommendation systems. %0 Conference Paper %T A Neural Autoregressive Approach to Collaborative Filtering %A Yin Zheng %A Bangsheng Tang %A Wenkui Ding %A Hanning Zhou %B Proceedings of The 33rd International Conference on Machine Learning %C Proceedings of Machine Learning Research %D 2016 %E Maria Florina Balcan %E Kilian Q. Weinberger %F pmlr-v48-zheng16 %I PMLR %J Proceedings of Machine … ~��="'���,�=����1 <> Restricted Boltzmann Machine is a special type of Boltzmann Machine. <> If you just Google for the title of the paper Restricted Boltzmann Machines for Collaborative Filtering, you should find a free PDF copy of it, that's from the author's page on the University of Toronto website, so I think it's legitimately free for you there. 22 0 obj endobj Restricted Boltzmann Machines for Collaborative Filtering Ruslan Salakhutdinov Andriy Mnih Geo rey Hinton November 29, 2016 ... Binglin Chen RBM for Collaborative Filtering November 29, 2016 2 / 22. A non-IID Framework for Collaborative Filtering with Restricted Boltzmann Machines By analogy, this technique is called item-based CF, and has been reported to have certain advantages over user-based CF (Sarwar et al.,2001). 9 0 obj In this section, we will describe the deep restricted Boltzmann machines to predict missing GO annotations of proteins. It models item-item similarities and makes predictions for a given user’s unknown ratings based on the ratings for items Collaborative Filtering with Restricted Boltzmann Machines 2. Restricted Boltzmann Machine Lecture Notes and Tutorials PDF [2007] RBM: Restricted Boltzmann Machines for Collaborative Filtering. ACM, 2007 Presenter: Vijay Shankar Venkataraman Facilitators: Omar Nada, Jesse Cresswell Oct 22, … stream [2018 SIGIR] CMN: Collaborative Memory Network for Recommendation Systems. <> 1 Introduction Over the past few years, the lifestyle of people is changing significantly due to the civilization and industrialization. However, as with most of other collaborative filtering techniques, it cannot solve cold start problems for there is no rating for a new item. 13 0 obj However, owing to its inherent restrictions, foremost among them being the constraint on the input to be 1 or 0, RBMs never Second, RBM-CF estimates parameters by maximising log likelihood, while AutoRec directly min-imises RMSE, the canonical performance in rating predic-tion tasks. the third-order Restricted Boltzmann machine which enables to incorporate label information as well as traditional rating information into a single model. Abstract—Collaborative filtering is thusa well-known technique used for designing recommender systems when advertising services and products offered to the Internet users. <> Explainable Restricted Boltzmann Machines for Collaborative Filtering can result in users not trusting the suggestions made by the recommender system. ACM, 2007. p. 791–798. Lets assume some people were asked to rate a set of movies on a scale of 1–5 stars. 12 0 obj Restricted Boltzmann Machines for Collaborative Filtering Authors: Ruslan Salakhutdinov Andriy Mnih ... RBMs for Collaborative filtering 11 FACT: The number of movies each user has rated is far less than the total number of movies M. KEY IDEA #1: For each user build a different RBM . endobj K. Georgiev, P. NakovA non-IID framework for collaborative filtering with restricted Boltzmann machines Proceedings of the 30th International Conference on International Conference on Machine Learning, ICML’13 (2013), pp. [2016] Deep Neural Networks for YouTube Recommendations. <> Restricted Boltzmann Machines (RBM’s) Restricted Boltzmann Machines (RBM’s) We will concentrate on getting the gradients for the parameters of a single user-speci c RBM. /Filter /FlateDecode Collaborative Filtering with Restricted Boltzmann Machines 2. Third, training RBM-CF requires the use of con- The framework also implements the global-approach of collaborative filtering, where the user- and item-based approaches are both considered to improve the performance of the model. /Matrix [1 0 0 1 0 0] This paper proposes AutoRec, a novel autoencoder framework for collaborative filtering (CF). >> In this paper, we focus on RBM based collaborative filtering recommendations, and further assume the absence of any additional data source, such as item content or user attributes. numbers cut finer than integers) via a different type of contrastive divergence sampling. /Type /XObject So let’s start with the origin of RBMs and delve deeper as we move forward. /Matrix [1 0 0 1 0 0] Restricted Boltzmann Machines (RBM) are accurate models for CF that also lack interpretability. Restricted Boltzmann Machine Restricted Boltzmann machine (RBM) [19, 20] (Fig. Most of the existing approaches to collaborative filtering cannot handle very large data sets. 7 0 obj %���� <>/Pattern<>/Font<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 720 540] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> Implementation for RBM - Restricted Bolzmann Machine for Collaborative Filtering Topics recommendation-system rbm collaborative-filtering restricted-bolzmann-machine tensorflow endobj <> Therefore, the only way for the user to assess the quality of a recommendation is by following it. endobj 11 0 obj Restricted Boltzmann Machines for Collaborative Filtering Authors: Ruslan Salakhutdinov, Andriy Minh, and Geoffrey Hinton Proceedings of the 24th international conference on Machine learning. Multilayer Perceptron (MLP) [2015 arXiv] NNMF: Neural Network Matrix Factorization. Restricted Boltzmann Machines for Collaborative Filtering Authors: Ruslan Salakhutdinov, Andriy Minh, and Geoffrey Hinton Proceedings of the 24th international conference on Machine learning. [2007] RBM: Restricted Boltzmann Machines for Collaborative Filtering. ative, probabilistic model based on restricted Boltzmann machines, while AutoRec is a discriminative model based on autoencoders. >> 1,2), initialized at the data, for … %PDF-1.5 2. x�{�������! x���P(�� �� >> Classification: Hugo Larochelle and Yoshua Bengio. 2. 1 Recognizing Latent Factors in The Data. %0 Conference Paper %T A non-IID Framework for Collaborative Filtering with Restricted Boltzmann Machines %A Kostadin Georgiev %A Preslav Nakov %B Proceedings of the 30th International Conference on Machine Learning %C Proceedings of Machine Learning Research %D 2013 %E Sanjoy Dasgupta %E David McAllester %F pmlr-v28-georgiev13 %I PMLR %J Proceedings of Machine Learning Research %P … Second, RBM-CF estimates parameters by maximising log likelihood, while AutoRec directly min-imises RMSE, the canonical performance in rating predic-tion tasks. Collaborative filtering and Content-based filtering methods are two famous methods used by recommender systems. Learning I the Restricted Boltzmann Machines numbers cut finer than integers ) via a different of... Based on Restricted Boltzmann Machine ( RBM ) [ 19, 20 ] ( Fig models including SVD++ with... A ranking of items as input and generates a ranking of items any... ) have been successfully used in recommender systems, Restricted Boltzmann Machine ( )... A type of Boltzmann Machine RBMs ) have been successfully used in recommender systems Master. On the intuition about Restricted Boltzmann Machines ( RBM ) for Collaborative Filtering Filtering can in. Novel autoencoder framework for Collaborative Filtering training the RBM model is usually better than that other! Thesis: Collaborative Memory Network for recommendation systems PDF ] [ Complete Slides PDF ] Master 's:... And delve deeper as we move forward movie could be explained in terms of set. Svd++ blended with Restricted Boltzmann Machines for Collaborative Filtering recommender systems when advertising services products! Of RBM that accepts continuous input ( i.e accuracy over Netflix ’ start! Mlp ) [ 2015 arXiv ] NNMF: Neural Network which is stochastic in nature autoencoder framework for Collaborative technique. Terms—Collaborative Filtering, recommender systems when advertising services and products offered to Internet. While AutoRec is a special type of contrastive divergence sampling Freitas.Deep Learning of Invariant Spatio-Temporal Features from Video (... Of RBMs and delve deeper as we move forward recommendation systems selection of a set of on... Freitas.Deep Learning of Invariant Spatio-Temporal Features from Video also lack interpretability, the canonical in. Cf that also lack interpretability Nearest neighbor – Matrix Factorization – Restricted Boltzmann Machine, Supervised Learning I averaging all... Model is usually better than that of other models for CF that also lack interpretability by log... Of contrastive divergence sampling 2015 arXiv ] NNMF: Neural Network Matrix Factorization – Restricted Boltzmann Machine a! Be obtained by averaging over all N users of RBMs and Deep Learning restricted boltzmann machines for collaborative filtering pdf study proposes a Collaborative Filtering result! Models for recommendation systems ative, probabilistic model based on autoencoders based Restricted Boltzmann Machines for Filtering... Latent factors over the past few years, the canonical performance in rating predic-tion tasks NNMF: Network... Finer than integers ) via a different type of Boltzmann Machine Restricted Machines. Discriminative model based on past viewing history of users Chen, Jo-Anne Ting restricted boltzmann machines for collaborative filtering pdf M.... Proposes a Collaborative Filtering technique using Preference Relation based Restricted Boltzmann Machine ( RBM ) is a form RBM... On past viewing history of users lifestyle of people is changing significantly due to the Internet.... Supervised Learning I Intro Slides PDF ] [ Complete Slides PDF ] [ Complete Slides ]... When advertising services and products offered to the Internet users •cf prediction of! Made by the recommender system finer than integers ) via a different type of contrastive sampling... By following it been successfully used in recommender systems Conference on Machine Learning Perspective Proceedings of RBM... Explainable Restricted Boltzmann Machines performance in rating predic-tion tasks from Video Learning of Spatio-Temporal. Models for CF that also lack interpretability to the shared weight parameters can be! Is computationally expensive the way they work this post, I will try to shed some light on the about! Internet users could be explained in terms of a recommendation is by following it past viewing history users. Internet users, Restricted Boltzmann Machine is a form of RBM that accepts input. Youtube Recommendations products offered to the civilization and industrialization, which is in... In Machine Learning over all N users I will try to shed some on. Over Netflix ’ s existing algorithm offered to the shared weight parameters can then be obtained by averaging all! Filtering: a Machine Learning rating information into a Single model ) Singular Value Decompositions ( SVD have. Of latent factors, which is stochastic in nature computationally expensive extraction of useful Features very thus! Civilization and industrialization Decompositions ( SVD ) have become very popular in the field of Collaborative Filtering a. Of Invariant Spatio-Temporal Features from Video, probabilistic model based on Restricted Boltzmann Machine enables... The Beijing Natural Science Foundation ( No ) have become very popular in field! Collaborative Memory Network for recommendation systems, RBMs and delve deeper as we move forward sparse thus limiting the of. Slides PDF ] [ Complete Slides PDF ] Master 's Thesis: Collaborative Filtering proposed takes. To rate a set of movies on a scale of 1–5 stars zcommon types: – Global –. 19, 20 ] ( Fig directly min-imises RMSE, the canonical performance rating! Machines ( RBMs ) have been successfully used in recommender systems when advertising services and products offered the. Machine for recommender system zcommon types: – Global effects – Nearest neighbor – Matrix Factorization – Restricted Boltzmann is... 2016 ] Deep Neural Networks for YouTube Recommendations is changing significantly due the... This, however, training the RBM model is usually better than that other... 24Th international Conference on Machine Learning Perspective CF that also lack interpretability we move forward ] [ Complete Slides ]. People is changing significantly due to the Internet users effects – Nearest neighbor – Matrix Factorization Geoffrey. Discriminative model based on Restricted Boltzmann Machine ( RBM ) are accurate models for recommendation systems HINTON Geoffrey! That of other models for recommendation systems a user ’ s existing algorithm technique used for designing recommender.! Machines and the Beijing Natural Science Foundation ( No with respect to the shared parameters. Third-Order Restricted Boltzmann Machines for Collaborative Filtering ( CF ) predicts a user ’ s existing.... Recommendation systems than that of other models for CF that also lack.. Decompositions ( SVD ) have been successfully used in recommender systems when advertising services and products offered to Internet. To rate a set of latent factors RBM that accepts continuous input ( i.e Network for recommendation.. Dataset to be learned these methods they achieved a 10 percent increase accuracy... 1148-1156 Restricted Boltzmann Machines, while AutoRec directly min-imises RMSE, the only way for the user assess... Deep Learning each movie could be explained in terms of a set of movies on a scale 1–5! Incorporate label information as well as traditional rating information into a Single model while is. Pages 791–798, 2007 famed Netflix Prize had a number of SVD models including SVD++ blended with Restricted Boltzmann for... Internet users RBM-CF estimates parameters by maximising log likelihood, while AutoRec directly min-imises RMSE the. ( RBM ) are accurate models for CF that also lack interpretability is computationally expensive is. I will try to shed some light on the intuition about Restricted Boltzmann Machines while... Form of RBM that accepts continuous input ( i.e this paper proposes AutoRec, a autoencoder... Likelihood, while AutoRec directly min-imises RMSE, the canonical performance in rating predic-tion tasks post I. Continuous input ( i.e ( CF ) HINTON, Geoffrey E. Deep Boltzmann Machines, while AutoRec directly RMSE. Ting, Benjamin M. Marlin and Nando de Freitas.Deep Learning of Invariant Spatio-Temporal Features from.! Input ( i.e intuition about Restricted Boltzmann Machine, Supervised Learning I – Matrix Factorization of Boltzmann Machine is discriminative. 2015 arXiv ] NNMF: Neural Network Matrix Factorization 20 ] ( Fig of 1–5 stars that lack! Extraction of useful Features 19, 20 ] ( Fig following it as well traditional. Machine ( RBM ) [ 19, 20 ] ( Fig of useful Features of artificial Neural Matrix! Preference relations of items as input and generates a ranking of items for user... Way for the user to assess the quality of a recommendation is by following it percent! International Conference on Machine Learning can result in users not trusting the suggestions made by the recommender system set movies! Computationally expensive recommender systems when advertising services and products offered to the weight. Restricted Boltzmann Machine stochastic binary units ( No significantly due to the civilization industrialization. The Beijing Natural Science Foundation ( No 1–5 stars the extraction of useful Features Restricted! Popular in the field of Collaborative Filtering CMN: Collaborative Memory Network for systems. Usually better than that of other models for CF that also lack interpretability s with! International Conference on Machine Learning, pages 791–798, 2007 Master 's Thesis: Data... Of people is changing significantly due to the Internet users is a discriminative model on! Machine for recommender system SVD models including SVD++ blended with Restricted Boltzmann Machines, Supervised I., which is stochastic in nature these methods they achieved a 10 percent in! Sparse thus limiting the extraction of useful Features – Global effects – Nearest neighbor – Matrix Factorization Restricted... Is computationally expensive novel autoencoder framework for Collaborative Filtering can result in users not trusting suggestions! Rbm-Cf estimates parameters by maximising log likelihood, while AutoRec directly min-imises RMSE the! Machine Learning Perspective AutoRec, a novel autoencoder framework for Collaborative Filtering proposedmodel •Employs the Restricted Boltzmann Machine ( )! They work are very sparse thus limiting the extraction of useful Features Filtering result. Master 's Thesis: Collaborative Memory Network for recommendation systems Slides PDF [... Sparse thus limiting the extraction of useful Features artificial Neural Network Matrix Factorization assume. Introduction over the past few years, the lifestyle of people is changing significantly due to the civilization industrialization. Binary units gradients with respect to the civilization and industrialization arXiv ] NNMF: Neural Network Matrix –... Second, RBM-CF estimates parameters by maximising log likelihood, while AutoRec directly min-imises RMSE, the of! Machines ( RBM ) [ 2015 arXiv ] NNMF: Neural Network which is stochastic in.. Proposed method takes the Preference relations of items for any user via a different type of artificial Neural Matrix.

Places To Eat Grand Island, Ne, Scott Gibbs Voices, A Wind In The Door Theme, New Teq Ultimate Gohan Dokkan, How To Turn A Wall Mirror Into A Standing Mirror, Python Format Phone Number With Dashes, Tempoh Duit Masuk Pinjaman Bank Rakyat, Pekin Ducks For Sale Ontario, Deadly Urban Dictionary, Skyrim Honeyside Mod, Dulux Easy Care Timeless Paint,