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This study demonstrates that incorrect data are entered into a pairwise comparisons matrix for processing into weights for the data collected by a rating scale. Unprocessed rating scale data lead to a paradox. A solution to it, based on…

Other Computer Science · Computer Science 2015-12-02 W. W. Koczkodaj

Pose graph optimization is a non-convex optimization problem encountered in many areas of robotics perception. Its convergence to an accurate solution is conditioned by two factors: the non-linearity of the cost function in use and the…

Robotics · Computer Science 2022-07-05 Tiziano Guadagnino , Luca Di Giammarino , Giorgio Grisetti

ROUGE is one of the first and most widely used evaluation metrics for text summarization. However, its assessment merely relies on surface similarities between peer and model summaries. Consequently, ROUGE is unable to fairly evaluate…

Computation and Language · Computer Science 2017-10-23 Elaheh ShafieiBavani , Mohammad Ebrahimi , Raymond Wong , Fang Chen

Mathematical proof aims to deliver confident conclusions, but a very similar process of deduction can be used to make uncertain estimates that are open to revision. A key ingredient in such reasoning is the use of a "default" estimate of…

Artificial Intelligence · Computer Science 2022-11-15 Paul Christiano , Eric Neyman , Mark Xu

The analytic hierarchy process (AHP) is one of the most widely used multicriteria decision-making methods, with applications from agriculture to space engineering. Despite its popularity, AHP has been repeatedly criticised for rank…

Optimization and Control · Mathematics 2026-02-20 Jiri Mazurek , Luis Ángel Calvo

In the photonic design problem, a scientist or engineer chooses the physical parameters of a device to best match some desired device behavior. Many instances of the photonic design problem can be naturally stated as a mathematical…

Computational Physics · Physics 2021-01-13 Guillermo Angeris , Jelena Vučković , Stephen Boyd

A preference order or ranking aggregated from pairwise comparison data is commonly understood as a strict total order. However, in real-world scenarios, some items are intrinsically ambiguous in comparisons, which may very well be an…

Machine Learning · Computer Science 2018-07-31 Qianqian Xu , Jiechao Xiong , Xinwei Sun , Zhiyong Yang , Xiaochun Cao , Qingming Huang , Yuan Yao

The geometric mean method (GMM) and the eigenvector method (EM) are well-known approaches to deriving information from pairwise comparison matrices in decision making processes. However, the original algorithms of these methods are…

Optimization and Control · Mathematics 2014-10-06 I. L. Tomashevskii

Inferential decision-making algorithms typically assume that an underlying probabilistic model of decision alternatives and outcomes may be learned a priori or online. Furthermore, when applied to robots in real-world settings they often…

Robotics · Computer Science 2023-09-15 Yucheng Chen , Pingping Zhu , Anthony Alers , Tobias Egner , Marc A. Sommer , Silvia Ferrari

Anytime heuristic search algorithms try to find a (potentially suboptimal) solution as quickly as possible and then work to find better and better solutions until an optimal solution is obtained or time is exhausted. The most widely-known…

Artificial Intelligence · Computer Science 2023-12-21 Sofia Lemons , Wheeler Ruml , Robert C. Holte , Carlos Linares López

The search engine evaluation research has quite a lot metrics available to it. Only recently, the question of the significance of individual metrics started being raised, as these metrics' correlations to real-world user experiences or…

Information Retrieval · Computer Science 2013-02-12 Pavel Sirotkin

Machine learning models are widely applied in various fields. Stakeholders often use post-hoc feature importance methods to better understand the input features' contribution to the models' predictions. The interpretation of the importance…

Machine Learning · Statistics 2024-04-19 Bitya Neuhof , Yuval Benjamini

In sampling theory, stratification corresponds to a technique used in surveys, which allows segmenting a population into homogeneous subpopulations (strata) to produce statistics with a higher level of precision. In particular, this article…

Methodology · Statistics 2022-11-22 José Brito , Gustavo Semaan , Leonardo de Lima , Augusto Fadel

The paper is a second in a series of two papers evaluating the power of a new scheme that generates search heuristics mechanically. The heuristics are extracted from an approximation scheme called mini-bucket elimination that was recently…

Artificial Intelligence · Computer Science 2013-01-30 Kalev Kask , Rina Dechter

Real-time heuristic search is a popular model of acting and learning in intelligent autonomous agents. Learning real-time search agents improve their performance over time by acquiring and refining a value function guiding the application…

Artificial Intelligence · Computer Science 2007-05-23 Vadim Bulitko

Ranking, and inferences based on ranking of a set of entities, are important problems in numerous contexts. This is especially true in small area statistics where there may be only a limited amount of directly observed data from each entity…

Methodology · Statistics 2025-11-26 Snigdhansu Chatterjee , Gauri Sankar Datta , Yiren Hou , Abhyuday Mandal

Learning-to-rank (LTR) is a class of supervised learning techniques that apply to ranking problems dealing with a large number of features. The popularity and widespread application of LTR models in prioritizing information in a variety of…

Machine Learning · Computer Science 2020-05-19 Jaspreet Singh , Zhenye Wang , Megha Khosla , Avishek Anand

Accurate heterogeneous treatment effect (HTE) estimation is essential for personalized recommendations, making it important to evaluate and compare HTE estimators. Traditional assessment methods are inapplicable due to missing…

Methodology · Statistics 2024-12-30 Zijun Gao

Variable selection for models including interactions between explanatory variables often needs to obey certain hierarchical constraints. The weak or strong structural hierarchy requires that the existence of an interaction term implies at…

Statistics Theory · Mathematics 2016-11-10 Yiyuan She , Zhifeng Wang , He Jiang

Cold-start rating prediction is a fundamental problem in recommender systems that has been extensively studied. Many methods have been proposed that exploit explicit relations among existing data, such as collaborative filtering, social…

Information Retrieval · Computer Science 2024-12-09 Shuheng Fang , Kangfei Zhao , Yu Rong , Zhixun Li , Jeffrey Xu Yu
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