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Reasoning with fuzzy sets can be achieved through measures such as similarity and distance. However, these measures can often give misleading results when considered independently, for example giving the same value for two different pairs…

Artificial Intelligence · Computer Science 2014-09-04 Josie McCulloch , Christian Wagner , Uwe Aickelin

Recent work has shown that models trained to the same objective, and which achieve similar measures of accuracy on consistent test data, may nonetheless behave very differently on individual predictions. This inconsistency is undesirable in…

Machine Learning · Computer Science 2021-11-17 Emily Black , Klas Leino , Matt Fredrikson

This study proposes revised axioms for defining inconsistency indicators in pairwise comparisons. It is based on the new findings that "PC submatrix cannot have a worse inconsistency indicator than the PC matrix containing it" and that…

Other Computer Science · Computer Science 2023-07-25 W. W. Koczkodaj , J. -P. Magnot

The prevailing approach for training and evaluating paraphrase identification models is constructed as a binary classification problem: the model is given a pair of sentences, and is judged by how accurately it classifies pairs as either…

Computation and Language · Computer Science 2020-06-25 Hannah Chen , Yangfeng Ji , David Evans

This paper primarily demonstrates a method to quantitatively assess the alignment between multi-step, structured reasoning in large language models and human preferences. We introduce the Alignment Score, a semantic-level metric that…

Artificial Intelligence · Computer Science 2026-04-22 Boxuan Wang , Zhuoyun Li , Xinmiao Huang , Xiaowei Huang , Yi Dong

Humans tend to strongly agree on ratings on a scale for extreme cases (e.g., a CAT is judged as very concrete), but judgements on mid-scale words exhibit more disagreement. Yet, collected rating norms are heavily exploited across…

Computation and Language · Computer Science 2024-04-18 Urban Knupleš , Diego Frassinelli , Sabine Schulte im Walde

We describe a framework for random pairwise comparisons matrices, inspired by selected constructions releted to the so called inconsistency reduction of pairwise comparisons (PC) matrices. In to build up structures on random pairwise…

Statistics Theory · Mathematics 2023-12-04 Jean-Pierre Magnot

The development of rigorous quality assessment model relies on the collection of reliable subjective data, where the perceived quality of visual multimedia is rated by the human observers. Different subjective assessment protocols can be…

Artificial Intelligence · Computer Science 2020-10-02 Suiyi Ling , Jing Li , Anne Flore Perrin , Zhi Li , Lukáš Krasula , Patrick Le Callet

The pairwise winning indices, computed in the Stochastic Multicriteria Acceptability Analysis, give the probability with which an alternative is preferred to another taking into account all the instances of the assumed preference model…

Optimization and Control · Mathematics 2022-03-29 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

Counterfactual explanations are usually obtained by identifying the smallest change made to an input to change a prediction made by a fixed model (hereafter called sparse methods). Recent work, however, has revitalized an old insight: there…

Machine Learning · Computer Science 2020-06-24 Martin Pawelczyk , Klaus Broelemann , Gjergji Kasneci

Researchers often misinterpret and misrepresent statistical outputs. This abuse has led to a large literature on modification or replacement of testing thresholds and $P$-values with confidence intervals, Bayes factors, and other devices.…

Methodology · Statistics 2020-10-02 Zad Rafi , Sander Greenland

Comparison data arises in many important contexts, e.g. shopping, web clicks, or sports competitions. Typically we are given a dataset of comparisons and wish to train a model to make predictions about the outcome of unseen comparisons. In…

Machine Learning · Statistics 2018-07-25 Stephen Ragain , Alexander Peysakhovich , Johan Ugander

This paper introduces "Semantic Scaling," a novel method for ideal point estimation from text. I leverage large language models to classify documents based on their expressed stances and extract survey-like data. I then use item response…

Computation and Language · Computer Science 2024-05-07 Michael Burnham

In many classification tasks, there is no definitive ground truth, only human judgments that may disagree. We address two challenges that arise in such settings: (1) how to use human raters to score classifiers, and (2) how to use them for…

Machine Learning · Computer Science 2026-04-24 Paul Resnick , Yuqing Kong , Grant Schoenebeck , Tim Weninger

In real life situations often paired comparisons involving alternatives of either full or partial profiles to mitigate cognitive burden are presented. For this situation the problem of finding optimal designs is considered in the presence…

Methodology · Statistics 2021-10-20 Eric Nyarko

We consider a simple model of imprecise comparisons: there exists some $\delta>0$ such that when a subject is given two elements to compare, if the values of those elements (as perceived by the subject) differ by at least $\delta$, then the…

Data Structures and Algorithms · Computer Science 2015-01-14 Miklos Ajtai , Vitaly Feldman , Avinatan Hassidim , Jelani Nelson

Data privacy is a central concern in many applications involving ranking from incomplete and noisy pairwise comparisons, such as recommendation systems, educational assessments, and opinion surveys on sensitive topics. In this work, we…

Statistics Theory · Mathematics 2025-07-15 T. Tony Cai , Abhinav Chakraborty , Yichen Wang

Combining the results of different search engines in order to improve upon their performance has been the subject of many research papers. This has become known as the "Data Fusion" task, and has great promise in dealing with the vast…

Information Retrieval · Computer Science 2018-02-13 Weinan Huang , Junyi Chen , Lei Meng , David Lillis

Pairwise comparisons based on human judgements are an effective method for determining rankings of items or individuals. However, as human biases perpetuate from pairwise comparisons to recovered rankings, they affect algorithmic decision…

Computers and Society · Computer Science 2024-08-26 Georg Ahnert , Antonio Ferrara , Claudia Wagner

We present ACCORD, a framework and benchmark suite for disentangling the commonsense grounding and reasoning abilities of large language models (LLMs) through controlled, multi-hop counterfactuals. ACCORD introduces formal elements to…

Artificial Intelligence · Computer Science 2025-02-10 François Roewer-Després , Jinyue Feng , Zining Zhu , Frank Rudzicz