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Ranking is used for a wide array of problems, most notably information retrieval (search). There are a number of popular approaches to the evaluation of ranking such as Kendall's $\tau$, Average Precision, and nDCG. When dealing with…

信息检索 · 计算机科学 2026-05-08 Denys Katerenchuk , Andrew Rosenberg

We introduce a correlation coefficient that is designed to deal with a variety of ranking formats including those containing non-strict (i.e., with-ties) and incomplete (i.e., unknown) preferences. The correlation coefficient is designed to…

应用统计 · 统计学 2019-02-19 Yeawon Yoo , Adolfo R. Escobedo , J. Kyle Skolfield

Learning-to-Rank (LTR) is a supervised machine learning approach that constructs models specifically designed to order a set of items or documents based on their relevance or importance to a given query or context. Despite significant…

信息检索 · 计算机科学 2026-04-17 Camilo Gomez , Pengyang Wang , Yanjie Fu

We propose a novel combinatorial inference framework to conduct general uncertainty quantification in ranking problems. We consider the widely adopted Bradley-Terry-Luce (BTL) model, where each item is assigned a positive preference score…

机器学习 · 统计学 2021-10-04 Yue Liu , Ethan X. Fang , Junwei Lu

The Mallows model occupies a central role in parametric modelling of ranking data to learn preferences of a population of judges. Despite the wide range of metrics for rankings that can be considered in the model specification, the choice…

统计方法学 · 统计学 2022-09-21 Marta Crispino , Cristina Mollica , Valerio Astuti , Luca Tardella

Ensuring fairness in algorithmic ranking systems is a critical challenge with significant societal implications for hiring, recommendations, web search, and data management. Standard methods for aggregating multiple preference orders into a…

数据结构与算法 · 计算机科学 2026-05-25 Diptarka Chakraborty , Arya Mazumdar , Barna Saha , Alvin Hong Yao Yan

Large language models (LLMs) are increasingly used to assign document relevance labels in information retrieval pipelines, especially in domains lacking human-labeled data. However, different models often disagree on borderline cases,…

信息检索 · 计算机科学 2025-07-04 William A. Ingram , Bipasha Banerjee , Edward A. Fox

In this paper, we establish a connection between ranking theory and general equilibrium theory. First of all, we show that the ranking vector of PageRank or Invariant method is precisely the equilibrium of a special Cobb-Douglas market.…

计算机科学与博弈论 · 计算机科学 2009-10-06 Ye Du

The ubiquitous proliferation of online social networks has led to the widescale emergence of relational graphs expressing unique patterns in link formation and descriptive user node features. Matrix Factorization and Completion have become…

社会与信息网络 · 计算机科学 2016-01-29 Brian Mohtashemi , Thomas Ketseoglou

Traditional statistical inference on ordinal comparison data results in an overall ranking of objects, e.g., from best to worst, with each object having a unique rank. However, ranks of some objects may not be statistically distinguishable.…

统计方法学 · 统计学 2024-08-27 Michael Pearce , Elena A. Erosheva

Mallows permutation model, introduced by Mallows in statistical ranking theory, is a class of non-uniform probability measures on the symmetric group $S_n$. The model depends on a distance metric $d(\sigma,\tau)$ on $S_n$, which can be…

概率论 · 数学 2021-12-28 Chenyang Zhong

Large language models (LLMs) increasingly operate as autonomous agents that reason over external APIs to perform complex tasks. However, their reliability and agreement remain poorly characterized. We present a unified benchmarking…

信息检索 · 计算机科学 2026-04-28 Eyhab Al-Masri

We present a novel Bayesian topic model for learning discourse-level document structure. Our model leverages insights from discourse theory to constrain latent topic assignments in a way that reflects the underlying organization of document…

信息检索 · 计算机科学 2014-01-16 Harr Chen , S. R. K. Branavan , Regina Barzilay , David R. Karger

In this paper, we develop the metric geometry of ranking statistics, proving that the two major permutation distances in the statistics literature -- Kendall tau and Spearman footrule -- extend naturally to incomplete rankings with both…

度量几何 · 数学 2026-02-12 Moon Duchin , Kristopher Tapp

Recently, Moffat et al. proposed an analytic framework, namely C/W/L/A, for offline evaluation metrics. This framework allows information retrieval (IR) researchers to design evaluation metrics through the flexible combination of user…

信息检索 · 计算机科学 2023-08-08 Nuo Chen , Tetsuya Sakai

We introduce a new family of minmax rank aggregation problems under two distance measures, the Kendall {\tau} and the Spearman footrule. As the problems are NP-hard, we proceed to describe a number of constant-approximation algorithms for…

机器学习 · 计算机科学 2017-02-06 Pan Li , Olgica Milenkovic

Implicit feedback (e.g., click, dwell time) is an attractive source of training data for Learning-to-Rank, but its naive use leads to learning results that are distorted by presentation bias. For the special case of optimizing average rank…

信息检索 · 计算机科学 2019-08-28 Aman Agarwal , Kenta Takatsu , Ivan Zaitsev , Thorsten Joachims

We consider the link prediction problem in a partially observed network, where the objective is to make predictions in the unobserved portion of the network. Many existing methods reduce link prediction to binary classification problem.…

机器学习 · 统计学 2016-02-23 Bopeng Li , Sougata Chaudhuri , Ambuj Tewari

Bregman divergences play a central role in the design and analysis of a range of machine learning algorithms. This paper explores the use of Bregman divergences to establish reductions between such algorithms and their analyses. We present…

机器学习 · 计算机科学 2016-07-04 Richard Nock , Aditya Krishna Menon , Cheng Soon Ong

Clustered data are common in practice. Clustering arises when subjects are measured repeatedly, or subjects are nested in groups (e.g., households, schools). It is often of interest to evaluate the correlation between two variables with…

统计方法学 · 统计学 2025-01-16 Shengxin Tu , Chun Li , Bryan E. Shepherd