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We propose orthogonal inductive matrix completion (OMIC), an interpretable approach to matrix completion based on a sum of multiple orthonormal side information terms, together with nuclear-norm regularization. The approach allows us to…

Machine Learning · Computer Science 2021-08-26 Antoine Ledent , Rodrigo Alves , Marius Kloft

In this paper we study MapReduce computations from a complexity-theoretic perspective. First, we formulate a uniform version of the MRC model of Karloff et al. (2010). We then show that the class of regular languages, and moreover all of…

Computational Complexity · Computer Science 2015-10-07 Benjamin Fish , Jeremy Kun , Ádám Dániel Lelkes , Lev Reyzin , György Turán

Firms earning prediction plays a vital role in investment decisions, dividends expectation, and share price. It often involves multiple tensor-compatible datasets with non-linear multi-way relationships, spatiotemporal structures, and…

Machine Learning · Computer Science 2021-09-07 Ajim Uddin , Dan Zhou , Xinyuan Tao , Chia-Ching Chou , Dantong Yu

The predominance of machine learning models in many spheres of human activity has led to a growing demand for their transparency. The transparency of models makes it possible to discern some factors, such as security or non-discrimination.…

Machine Learning · Computer Science 2026-01-16 Niffa Cheick Oumar Diaby , Thierry Duchesne , Mario Marchand

In the context of global trade, cross-border commodity pricing largely determines the competitiveness and market share of businesses. However, existing methodologies often prove inadequate, as they lack the agility and precision required to…

Machine Learning · Computer Science 2024-08-23 Lijuan Wang , Yijia Hu , Yan Zhou

In statistical relational learning, knowledge graph completion deals with automatically understanding the structure of large knowledge graphs---labeled directed graphs---and predicting missing relationships---labeled edges. State-of-the-art…

Artificial Intelligence · Computer Science 2017-11-28 Théo Trouillon , Christopher R. Dance , Johannes Welbl , Sebastian Riedel , Éric Gaussier , Guillaume Bouchard

Most recent results in matrix completion assume that the matrix under consideration is low-rank or that the columns are in a union of low-rank subspaces. In real-world settings, however, the linear structure underlying these models is…

Machine Learning · Statistics 2015-12-31 Ravi Ganti , Laura Balzano , Rebecca Willett

Matrix completion refers to completing a low-rank matrix from a few observed elements of its entries and has been known as one of the significant and widely-used problems in recent years. The required number of observations for exact…

Information Theory · Computer Science 2021-11-02 Hamideh. Sadat Fazael Ardakani , Niloufar Rahmani , Sajad Daei

In counterfactual learning to rank (CLTR) user interactions are used as a source of supervision. Since user interactions come with bias, an important focus of research in this field lies in developing methods to correct for the bias of…

Information Retrieval · Computer Science 2021-08-20 Ali Vardasbi , Maarten de Rijke , Ilya Markov

Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evaluation, transdimensional Markov chain Monte Carlo (MCMC)…

Methodology · Statistics 2018-08-13 Daniel W. Heck , Antony M. Overstall , Quentin F. Gronau , Eric-Jan Wagenmakers

Matrix regression plays an important role in modern data analysis due to its ability to handle complex relationships involving both matrix and vector variables. We propose a class of regularized regression models capable of predicting both…

Optimization and Control · Mathematics 2025-01-14 Meixia Lin , Ziyang Zeng , Yangjing Zhang

Derivative traders are usually required to scan through hundreds, even thousands of possible trades on a daily basis. Up to now, not a single solution is available to aid in their job. Hence, this work aims to develop a trading…

Portfolio Management · Quantitative Finance 2018-10-05 Adriano Soares Koshiyama , Nick Firoozye , Philip Treleaven

In many computational problems, using the Markov Chain Monte Carlo (MCMC) can be prohibitively time-consuming. We propose MCMC-Net, a simple yet efficient way to accelerate MCMC via neural networks. The key idea of our approach is to…

Numerical Analysis · Mathematics 2025-09-16 Sudeb Majee , Anuj Abhishek , Thilo Strauss , Taufiquar Khan

Matrix completion tackles the task of predicting missing values in a low-rank matrix based on a sparse set of observed entries. It is often assumed that the observation pattern is generated uniformly at random or has a very specific…

Machine Learning · Statistics 2025-03-18 Yudong Chen , Xumei Xi , Christina Lee Yu

In this paper, we provide a new algorithm for the problem of prediction in Reinforcement Learning, \emph{i.e.}, estimating the Value Function of a Markov Reward Process (MRP) using the linear function approximation architecture, with memory…

Systems and Control · Computer Science 2016-09-30 Ajin George Joseph , Shalabh Bhatnagar

Consider a movie recommendation system where apart from the ratings information, side information such as user's age or movie's genre is also available. Unlike standard matrix completion, in this setting one should be able to predict…

Machine Learning · Computer Science 2013-06-05 Prateek Jain , Inderjit S. Dhillon

Bayesian modelling and computational inference by Markov chain Monte Carlo (MCMC) is a principled framework for large-scale uncertainty quantification, though is limited in practice by computational cost when implemented in the simplest…

Computation · Statistics 2020-09-21 Colin Fox , Tiangang Cui , Markus Neumayer

Inspired by practical importance of social networks, economic networks, biological networks and so on, studies on large and complex networks have attracted a surge of attentions in the recent years. Link prediction is a fundamental issue to…

Social and Information Networks · Computer Science 2017-04-05 Ratha Pech , Dong Hao , Liming Pan , Hong Cheng , Tao Zhou

Predicting the thermodynamic properties of mixtures is crucial for process design and optimization in chemical engineering. Machine learning (ML) methods are gaining increasing attention in this field, but experimental data for training are…

Machine Learning · Computer Science 2024-10-10 Dominik Gond , Jan-Tobias Sohns , Heike Leitte , Hans Hasse , Fabian Jirasek

The problem of completing high-dimensional matrices from a limited set of observations arises in many big data applications, especially, recommender systems. Existing matrix completion models generally follow either a memory- or a…

Machine Learning · Computer Science 2019-09-30 Duc Minh Nguyen , Robert Calderbank , Nikos Deligiannis