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Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

Machine Learning · Statistics 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

Friction systems are mechanical systems wherein friction is used for force transmission (e.g. mechanical braking systems or automatic gearboxes). For finding optimal and safe design parameters, engineers have to predict friction system…

Machine Learning · Computer Science 2021-07-21 Gabriel Kronberger , Michael Kommenda , Andreas Promberger , Falk Nickel

The success and generalisation of deep learning algorithms heavily depend on learning good feature representations. In medical imaging this entails representing anatomical information, as well as properties related to the specific imaging…

Computer Vision and Pattern Recognition · Computer Science 2020-04-21 Agisilaos Chartsias , Thomas Joyce , Giorgos Papanastasiou , Scott Semple , Michelle Williams , David Newby , Rohan Dharmakumar , Sotirios A. Tsaftaris

Matrix Factorization (MF) on large scale matrices is computationally as well as memory intensive task. Alternative convergence techniques are needed when the size of the input matrix is higher than the available memory on a Central…

Machine Learning · Computer Science 2019-01-21 Prasad G Bhavana , Vineet C Nair

Low-rank matrix factorization (MF) is an important technique in data science. The key idea of MF is that there exists latent structures in the data, by uncovering which we could obtain a compressed representation of the data. By factorizing…

Numerical Analysis · Computer Science 2016-05-09 Yuan Lu , Jie Yang

As a well-established approach, factorization machine (FM) is capable of automatically learning high-order interactions among features to make predictions without the need for manual feature engineering. With the prominent development of…

Information Retrieval · Computer Science 2021-04-13 Tong Chen , Hongzhi Yin , Xiangliang Zhang , Zi Huang , Yang Wang , Meng Wang

With the popularity of Linked Open Data (LOD) and the associated rise in freely accessible knowledge that can be accessed via LOD, exploiting LOD for recommender systems has been widely studied based on various approaches such as…

Information Retrieval · Computer Science 2017-08-01 Guangyuan Piao , John G. Breslin

Learning sophisticated feature interactions behind user behaviors is critical in maximizing CTR for recommender systems. Despite great progress, existing methods seem to have a strong bias towards low- or high-order interactions, or require…

Information Retrieval · Computer Science 2017-03-14 Huifeng Guo , Ruiming Tang , Yunming Ye , Zhenguo Li , Xiuqiang He

Field-aware Factorization Machines (FFMs) have emerged as a powerful model for click-through rate prediction, particularly excelling in capturing complex feature interactions. In this work, we present an in-depth analysis of our in-house,…

Computing partition function is the most important statistical inference task arising in applications of Graphical Models (GM). Since it is computationally intractable, approximate methods have been used to resolve the issue in practice,…

Machine Learning · Statistics 2017-09-13 Sungsoo Ahn , Michael Chertkov , Jinwoo Shin

We discuss a randomized strong rank-revealing QR factorization that effectively reveals the spectrum of a matrix $\textbf{M}$. This factorization can be used to address problems such as selecting a subset of the columns of $\textbf{M}$,…

Numerical Analysis · Mathematics 2025-03-25 Laura Grigori , Zhipeng Xue

Functions on a bounded domain in scientific computing are often approximated using piecewise polynomial approximations on meshes that adapt to the shape of the geometry. We study the problem of function approximation using splines on a…

Numerical Analysis · Mathematics 2020-08-27 Vincent Coppé , Daan Huybrechs

Few-shot semantic segmentation (FSS) is a crucial challenge in computer vision, driving extensive research into a diverse range of methods, from advanced meta-learning techniques to simple transfer learning baselines. With the emergence of…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Reda Bensaid , Vincent Gripon , François Leduc-Primeau , Lukas Mauch , Ghouthi Boukli Hacene , Fabien Cardinaux

Functions of one or more variables are usually approximated with a basis: a complete, linearly-independent system of functions that spans a suitable function space. The topic of this paper is the numerical approximation of functions using…

Numerical Analysis · Mathematics 2018-11-07 Ben Adcock , Daan Huybrechs

Predicting user responses, such as click-through rate and conversion rate, are critical in many web applications including web search, personalised recommendation, and online advertising. Different from continuous raw features that we…

Machine Learning · Computer Science 2016-01-12 Weinan Zhang , Tianming Du , Jun Wang

Factorization Machines (FMs) are effective in incorporating side information to overcome the cold-start and data sparsity problems in recommender systems. Traditional FMs adopt the inner product to model the second-order interactions…

Information Retrieval · Computer Science 2020-10-27 Yangyang Guo , Zhiyong Cheng , Jiazheng Jing , Yanpeng Lin , Liqiang Nie , Meng Wang

Non-negative Matrix Factorization (NMF) is one of the most popular techniques for data representation and clustering, and has been widely used in machine learning and data analysis. NMF concentrates the features of each sample into a…

Image and Video Processing · Electrical Eng. & Systems 2021-03-26 Mulin Chen , Maoguo Gong , Xuelong Li

In various web applications like targeted advertising and recommender systems, the available categorical features (e.g., product type) are often of great importance but sparse. As a widely adopted solution, models based on Factorization…

Machine Learning · Computer Science 2019-11-19 Tong Chen , Hongzhi Yin , Quoc Viet Hung Nguyen , Wen-Chih Peng , Xue Li , Xiaofang Zhou

Quantum computers can be used for supervised learning by treating parametrised quantum circuits as models that map data inputs to predictions. While a lot of work has been done to investigate practical implications of this approach, many…

Quantum Physics · Physics 2021-03-31 Maria Schuld , Ryan Sweke , Johannes Jakob Meyer

Black-box (BB) optimization problems aim to identify an input that maximizes or minimizes the output of a function (the BB function) whose input-output relationship is unknown. Factorization machine with quadratic-optimization annealing…

Machine Learning · Computer Science 2026-01-27 Mayumi Nakano , Yuya Seki , Shuta Kikuchi , Shu Tanaka