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In the Correlation Clustering problem, we are given a complete weighted graph $G$ with its edges labeled as "similar" and "dissimilar" by a noisy binary classifier. For a clustering $\mathcal{C}$ of graph $G$, a similar edge is in…

数据结构与算法 · 计算机科学 2021-08-13 Jafar Jafarov , Sanchit Kalhan , Konstantin Makarychev , Yury Makarychev

One way of characterizing the topological and structural properties of vertices and edges in a graph is by using structural similarity measures. Measures like Cosine, Jaccard and Dice compute the similarities restricted to the immediate…

社会与信息网络 · 计算机科学 2018-05-04 Eduar Castrillo , Elizabeth León , Jonatan Gómez

Clustering is a common technique for statistical data analysis, Clustering is the process of grouping the data into classes or clusters so that objects within a cluster have high similarity in comparison to one another, but are very…

机器学习 · 计算机科学 2012-03-12 T Soni Madhulatha

In an increasingly interconnected world, understanding and summarizing the structure of these networks becomes increasingly relevant. However, this task is nontrivial; proposed summary statistics are as diverse as the networks they…

统计理论 · 数学 2020-04-15 Lee M. Gunderson , Gecia Bravo-Hermsdorff

A probabilistic expert system emulates the decision-making ability of a human expert through a directional graphical model. The first step in building such systems is to understand data generation mechanism. To this end, one may try to…

统计方法学 · 统计学 2021-09-29 Vahid Partovi Nia , Xinlin Li , Masoud Asgharian , Shoubo Hu , Zhitang Chen , Yanhui Geng

Modern sampling methods create ensembles of district maps that score well on discrete compactness scores, whereas the Polsby-Popper and other shape-based scores remain highly relevant for building fair maps and litigating unfair ones. The…

物理与社会 · 物理学 2025-01-07 Kristopher Tapp

After generalizing the concept of clusters to incorporate clusters that are linked to other clusters through some relatively narrow bridges, an approach for detecting patches of separation between these clusters is developed based on an…

计算机视觉与模式识别 · 计算机科学 2020-01-10 Luciano da F. Costa

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

社会与信息网络 · 计算机科学 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

Forecast of football outcomes in terms of Home Win, Draw and Away Win relies largely on ex ante probability elicitation of these events and ex post verification of them via computation of probability scoring rules (Brier, Ranked…

应用统计 · 统计学 2024-08-09 Jean-Louis Foulley

We introduce a novel end-to-end approach for learning to cluster in the absence of labeled examples. Our clustering objective is based on optimizing normalized cuts, a criterion which measures both intra-cluster similarity as well as…

机器学习 · 计算机科学 2019-10-18 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

We consider semi-supervised binary classification for applications in which data points are naturally grouped (e.g., survey responses grouped by state) and the labeled data is biased (e.g., survey respondents are not representative of the…

机器学习 · 统计学 2022-12-08 Daniel Zeiberg , Shantanu Jain , Predrag Radivojac

Conformal prediction is a statistically rigorous method for quantifying uncertainty in models by having them output sets of predictions, with larger sets indicating more uncertainty. However, prediction sets are not inherently actionable;…

机器学习 · 计算机科学 2025-02-17 Jesse C. Cresswell , Bhargava Kumar , Yi Sui , Mouloud Belbahri

We develop a new approach for quantifying uncertainty in finite populations, by using design distributions to calibrate sensitivity parameters in finite population identified sets. This yields uncertainty intervals that can be interpreted…

计量经济学 · 经济学 2026-05-12 Brendan Kline , Matthew A. Masten

Divergence from a random baseline is a technique for the evaluation of document clustering. It ensures cluster quality measures are performing work that prevents ineffective clusterings from giving high scores to clusterings that provide no…

信息检索 · 计算机科学 2012-08-30 Christopher M. De Vries , Shlomo Geva , Andrew Trotman

For an AI system to be reliable, the confidence it expresses in its decisions must match its accuracy. To assess the degree of match, examples are typically binned by confidence and the per-bin mean confidence and accuracy are compared.…

机器学习 · 计算机科学 2022-02-14 Rebecca Roelofs , Nicholas Cain , Jonathon Shlens , Michael C. Mozer

This paper presents a quantitative user study to evaluate how well users can visually perceive the underlying data distribution from a histogram representation. We used different sample and bin sizes and four different distributions…

人机交互 · 计算机科学 2021-09-15 Raphael Sahann , Torsten Möller , Johanna Schmidt

Probability predictions from binary regressions or machine learning methods ought to be calibrated: If an event is predicted to occur with probability $x$, it should materialize with approximately that frequency, which means that the…

统计理论 · 数学 2023-01-11 Timo Dimitriadis , Lutz Duembgen , Alexander Henzi , Marius Puke , Johanna Ziegel

State-of-the-art methods for counting people in crowded scenes rely on deep networks to estimate crowd density. While effective, these data-driven approaches rely on large amount of data annotation to achieve good performance, which stops…

计算机视觉与模式识别 · 计算机科学 2021-03-31 Weizhe Liu , Nikita Durasov , Pascal Fua

Identifying the underlying models in a set of data points contaminated by noise and outliers, leads to a highly complex multi-model fitting problem. This problem can be posed as a clustering problem by the projection of higher order…

计算机视觉与模式识别 · 计算机科学 2018-08-01 Ruwan Tennakoon , Alireza Sadri , Reza Hoseinnezhad , Alireza Bab-Hadiashar

Composite indicators aggregate a set of variables using weights which are understood to reflect the variables' importance in the index. In this paper we propose to measure the importance of a given variable within existing composite…

应用统计 · 统计学 2018-08-02 Paolo Paruolo , Andrea Saltelli , Michaela Saisana