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We propose to augment rating based recommender systems by providing the user with additional information which might help him in his choice or in the understanding of the recommendation. We consider here as a new task, the generation of…

Information Retrieval · Computer Science 2014-12-18 Mickaël Poussevin , Vincent Guigue , Patrick Gallinari

We develop a result on expected posteriors for Bayesians with heterogenous priors, dubbed information validates the prior (IVP). Under familiar ordering requirements, Anne expects a (Blackwell) more informative experiment to bring Bob's…

Theoretical Economics · Economics 2022-12-29 Navin Kartik , Frances Lee , Wing Suen

Auxiliary objectives, supplementary learning signals that are introduced to help aid learning on data-starved or highly complex end-tasks, are commonplace in machine learning. Whilst much work has been done to formulate useful auxiliary…

Machine Learning · Computer Science 2023-03-01 Lucio M. Dery , Paul Michel , Mikhail Khodak , Graham Neubig , Ameet Talwalkar

Learning about causal effects in target populations and their subsets may be facilitated by combining information from multiple sources. One major class of study designs that combine information involves appending an index study with data…

In this paper, we suggest an estimator using two auxiliary variables in stratified random sampling. The propose estimator has an improvement over mean per unit estimator as well as some other considered estimators. Expressions for bias and…

Applications · Statistics 2014-04-01 Rajesh Singh , Sachin Malik

In this paper we study an a posteriori error indicator introduced in E. Dari, R.G. Duran, C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix-Raviart non-conforming finite elements. In…

Numerical Analysis · Mathematics 2014-11-11 Daniele Boffi , Ricardo G. Durán , Francesca Gardini , Lucia Gastaldi

This article presents the problem of estimating the population mean using auxiliary information in the presence of measurement errors. A numerical study is made among the proposed estimator, the exponential ratio estimator, Singh and…

Applications · Statistics 2014-05-19 Sachin Malik , Rajesh Singh

Word embeddings have demonstrated strong performance on NLP tasks. However, lack of interpretability and the unsupervised nature of word embeddings have limited their use within computational social science and digital humanities. We…

Computation and Language · Computer Science 2019-09-05 Miriam Hurtado Bodell , Martin Arvidsson , Måns Magnusson

In this paper, we present an approach to enhance interpolation and approximation error estimates. Based on a previously derived first-order Taylor-like formula, we demonstrate its applicability in improving the $P_1$-interpolation error…

Numerical Analysis · Mathematics 2023-10-31 Joel Chaskalovic , Franck Assous

This essay looks at decision-making with interval-valued probability measures. Existing decision methods have either supplemented expected utility methods with additional criteria of optimality, or have attempted to supplement the…

Artificial Intelligence · Computer Science 2013-04-15 Ronald P. Loui

Given an imperfect predictor, we exploit additional features at test time to improve the predictions made, without retraining and without knowledge of the prediction function. This scenario arises if training labels or data are proprietary,…

Machine Learning · Computer Science 2021-11-05 Kwang In Kim , James Tompkin

This article describes the extension of recent methods for a posteriori error estimation such as dual-weighted residual methods to node-centered finite volume discretizations of second order elliptic boundary value problems including upwind…

Numerical Analysis · Mathematics 2026-02-04 Lutz Angermann

While deep learning has been very beneficial in data-rich settings, tasks with smaller training set often resort to pre-training or multitask learning to leverage data from other tasks. In this case, careful consideration is needed to…

Machine Learning · Computer Science 2021-08-26 Lucio M. Dery , Yann Dauphin , David Grangier

In this paper, we consider several types of information and methods of combination associated with incomplete probabilistic systems. We discriminate between 'a priori' and evidential information. The former one is a description of the whole…

Artificial Intelligence · Computer Science 2013-03-26 Jose E. Cano , Serafin Moral , Juan F. Verdegay-Lopez

The choice of sentence encoder architecture reflects assumptions about how a sentence's meaning is composed from its constituent words. We examine the contribution of these architectures by holding them randomly initialised and fixed,…

Computation and Language · Computer Science 2019-10-09 Joseph Enguehard , Dan Busbridge , Vitalii Zhelezniak , Nils Hammerla

In an attempt to provide an answer to the increasing criticism against p-values and to bridge the gap between statistical inference and prediction modelling, we introduce the probability of improved prediction (PIP). In general, the PIP is…

Methodology · Statistics 2024-05-28 Olivier Thas , Stijn Jaspers

A survey paper on some recent results on additive problems with prime powers.

Number Theory · Mathematics 2017-05-12 Alessandro Languasco

We present an auxiliary space theory that provides a unified framework for analyzing various iterative methods for solving linear systems that may be semidefinite. By interpreting a given iterative method for the original system as an…

Numerical Analysis · Mathematics 2025-09-10 Jongho Park , Jinchao Xu

In parallel to the ever-growing usage of mechanized proofs in diverse areas of mathematics and computer science, proof assistants are used more and more for education. This paper surveys previous work related to the use of proof assistants…

Logic in Computer Science · Computer Science 2025-05-21 Frédéric Tran Minh , Laure Gonnord , Julien Narboux

This work deals with the a posteriori error estimates for the Darcy-Forchheimer problem. We introduce the corresponding variational formulation and discretize it by using the finite-element method. A posteriori error estimate with two types…

Numerical Analysis · Mathematics 2022-02-24 Georges Semaan , Toni Sayah , Faouzi Triki
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