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The Sinkhorn operator has recently experienced a surge of popularity in computer vision and related fields. One major reason is its ease of integration into deep learning frameworks. To allow for an efficient training of respective neural…

Computer Vision and Pattern Recognition · Computer Science 2022-05-16 Marvin Eisenberger , Aysim Toker , Laura Leal-Taixé , Florian Bernard , Daniel Cremers

The ability to differentiate through optimization problems has unlocked numerous applications, from optimization-based layers in machine learning models to complex design problems formulated as bilevel programs. It has been shown that…

Optimization and Control · Mathematics 2024-03-05 Lucas Fuentes Valenzuela , Robin Brown , Marco Pavone

In spite of the tremendous development of recommender system owing to the progressive capability of machine learning recently, the current recommender system is still vulnerable to the distribution shift of users and items in realistic…

Machine Learning · Computer Science 2022-02-10 Yue He , Zimu Wang , Peng Cui , Hao Zou , Yafeng Zhang , Qiang Cui , Yong Jiang

Novel coordinate descent (CD) methods are proposed for minimizing nonconvex functions consisting of three terms: (i) a continuously differentiable term, (ii) a simple convex term, and (iii) a concave and continuous term. First, by extending…

Optimization and Control · Mathematics 2019-09-15 Qi Deng , Chenghao Lan

As deep learning models continue to scale, the growing computational demands have amplified the need for effective coreset selection techniques. Coreset selection aims to accelerate training by identifying small, representative subsets of…

Machine Learning · Computer Science 2025-11-24 Wei-Kai Chang , Rajiv Khanna

In recent years, deep neural networks have yielded immense success on speech recognition, computer vision and natural language processing. However, the exploration of deep neural networks on recommender systems has received relatively less…

Information Retrieval · Computer Science 2017-08-29 Xiangnan He , Lizi Liao , Hanwang Zhang , Liqiang Nie , Xia Hu , Tat-Seng Chua

We introduce a new convolutional AutoEncoder architecture for user modelling and recommendation tasks with several improvements over the state of the art. Firstly, our model has the flexibility to learn a set of associations and…

Machine Learning · Computer Science 2025-09-10 Antoine Ledent , Petr Kasalický , Rodrigo Alves , Hady W. Lauw

We examine gradient descent on unregularized logistic regression problems, with homogeneous linear predictors on linearly separable datasets. We show the predictor converges to the direction of the max-margin (hard margin SVM) solution. The…

Machine Learning · Statistics 2024-10-29 Daniel Soudry , Elad Hoffer , Mor Shpigel Nacson , Suriya Gunasekar , Nathan Srebro

The efficiency of top-K item recommendation based on implicit feedback are vital to recommender systems in real world, but it is very challenging due to the lack of negative samples and the large number of candidate items. To address the…

Information Retrieval · Computer Science 2019-06-06 Haoyu Wang , Defu Lian , Yong Ge

Recommendation is the task of improving customer experience through personalized recommendation based on users' past feedback. In this paper, we investigate the most common scenario: the user-item (U-I) matrix of implicit feedback. Even…

Machine Learning · Computer Science 2017-07-21 Peng Yang , Peilin Zhao , Xin Gao , Yong Liu

Cross-Domain Collaborative Filtering (CDCF) provides a way to alleviate data sparsity and cold-start problems present in recommendation systems by exploiting the knowledge from related domains. Existing CDCF models are either based on…

Information Retrieval · Computer Science 2019-07-22 Vijaikumar M , Shirish Shevade , M N Murty

Personalized instruction aims to provide learners with support that adapts to their individual knowledge and progress toward learning objectives. Discovering and tracing Knowledge Components (KCs) is an important step in building accurate…

Machine Learning · Computer Science 2026-04-02 Muntasir Hoq , Griffin Pitts , Tirth Bhatt , Aum Pandya , Andrew Lan , Peter Brusilovsky , Bita Akram

Collaborative filtering (CF) aims to build a model from users' past behaviors and/or similar decisions made by other users, and use the model to recommend items for users. Despite of the success of previous collaborative filtering…

Information Retrieval · Computer Science 2017-04-04 Junhua He , Hankz Hankui Zhuo , Jarvan Law

We consider a class of structured fractional minimization problems, in which the numerator part of the objective is the sum of a differentiable convex function and a convex non-smooth function, while the denominator part is a convex or…

Optimization and Control · Mathematics 2023-03-27 Ganzhao Yuan

Implicit models, which allow for the generation of samples but not for point-wise evaluation of probabilities, are omnipresent in real-world problems tackled by machine learning and a hot topic of current research. Some examples include…

Machine Learning · Statistics 2018-04-27 Yingzhen Li , Richard E. Turner

Many problems encountered in science and engineering can be formulated as estimating a low-rank object (e.g., matrices and tensors) from incomplete, and possibly corrupted, linear measurements. Through the lens of matrix and tensor…

Machine Learning · Computer Science 2023-10-11 Cong Ma , Xingyu Xu , Tian Tong , Yuejie Chi

In this study, we present a novel clustering-based collaborative filtering (CF) method for recommender systems. Clustering-based CF methods can effectively deal with data sparsity and scalability problems. However, most of them are applied…

Information Retrieval · Computer Science 2021-11-17 Munlika Rattaphun , Wen-Chieh Fang , Chih-Yi Chiu

In this paper, several Collaborative Filtering (CF) approaches with latent variable methods were studied using user-item interactions to capture important hidden variations of the sparse customer purchasing behaviours. The latent factors…

Information Retrieval · Computer Science 2020-12-14 Karthik Raja Kalaiselvi Bhaskar , Deepa Kundur , Yuri Lawryshyn

The rapid development of online recruitment platforms has created unprecedented opportunities for job seekers while concurrently posing the significant challenge of quickly and accurately pinpointing positions that align with their skills…

Information Retrieval · Computer Science 2024-10-16 Xiaoshan Yu , Chuan Qin , Qi Zhang , Chen Zhu , Haiping Ma , Xingyi Zhang , Hengshu Zhu

In this paper, we propose an implicit gradient descent algorithm for the classic $k$-means problem. The implicit gradient step or backward Euler is solved via stochastic fixed-point iteration, in which we randomly sample a mini-batch…

Optimization and Control · Mathematics 2018-05-23 Penghang Yin , Minh Pham , Adam Oberman , Stanley Osher