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We consider the task of detecting a salient cluster in a sensor network, that is, an undirected graph with a random variable attached to each node. Motivated by recent research in environmental statistics and the drive to compete with the…

统计理论 · 数学 2013-03-22 Ery Arias-Castro , Geoffrey R. Grimmett

We first determine the maximal clones on a set X of infinite regular cardinality which contain all permutations but not all unary functions, extending a result of Heindorf's for countably infinite X. If |X| is countably infinite or weakly…

环与代数 · 数学 2007-05-23 Michael Pinsker

In the present paper a novel graph-based approach to the shape decomposition problem is addressed. The shape is appropriately transformed into a visibility graph enriched with local neighborhood information. A two-step diffusion process is…

计算机视觉与模式识别 · 计算机科学 2017-09-13 Foteini Fotopoulou , George Economou

The main aim of this paper is to study aggregation functions on lattices via clone theory approach. Observing that the aggregation functions on lattices just correspond to $0,1$-monotone clones, as the main result we show that for any…

环与代数 · 数学 2018-12-27 Radomír Halaš , Jozef Pócs

A clone on a set X is a set of finitary functions on X which contains the projections and which is closed under composition. The set of all clones on X forms a complete algebraic lattice Cl(X). We obtain several results on the structure of…

环与代数 · 数学 2007-05-23 Michael Pinsker

We try to understand complete types over a somewhat saturated model of a complete first order theory which is dependent (previously called NIP), by "decomposition theorems for such types". Our thesis is that the picture of dependent theory…

逻辑 · 数学 2013-12-25 Saharon Shelah

Anomaly detection is not an easy problem since distribution of anomalous samples is unknown a priori. We explore a novel method that gives a trade-off possibility between one-class and two-class approaches, and leads to a better performance…

The paper studies complementary choice functions, i.e. monotonic and consistent choice functions. Such choice functions were introduced and used in the work \cite{RY} for investigation of matchings with complementary contracts. Three…

组合数学 · 数学 2022-09-15 Vladimir Danilov

Cardinality matching is a computational method for finding the largest possible number of matched pairs of exposed and unexposed individuals from an observational dataset, with specified patterns of baseline characteristics that represent a…

统计方法学 · 统计学 2022-02-17 Bijan A. Niknam , Jose R. Zubizarreta

In recent years, developing unsupervised machine learning for identifying phase transition is a research direction. In this paper, we introduce a two-times clustering method that can help select perfect configurations from a set of…

无序系统与神经网络 · 物理学 2023-05-30 Nan Wu , Zhuohan Li , Wanzhou Zhang

We propose in this paper an exploratory analysis algorithm for functional data. The method partitions a set of functions into $K$ clusters and represents each cluster by a simple prototype (e.g., piecewise constant). The total number of…

机器学习 · 统计学 2010-04-06 Georges Hébrail , Bernard Hugueney , Yves Lechevallier , Fabrice Rossi

Community detection in graphs is a problem that is likely to be relevant whenever network data appears, and consequently the problem has received much attention with many different methods and algorithms applied. However, many of these…

组合数学 · 数学 2025-05-16 Vilhelm Agdur

Ornaments aim at taming the multiplication of special-purpose datatype in dependently-typed theory. In its original form, the definition of ornaments is tied to a particular universe of datatypes. Being a type theoretic object,…

编程语言 · 计算机科学 2013-04-23 Pierre-Evariste Dagand , Conor McBride

This paper introduces Redescription Model Mining, a novel approach to identify interpretable patterns across two datasets that share only a subset of attributes and have no common instances. In particular, Redescription Model Mining aims to…

数据库 · 计算机科学 2021-07-12 Felix I. Stamm , Martin Becker , Markus Strohmaier , Florian Lemmerich

Concept-based approaches, which aim to identify human-understandable concepts within a model's internal representations, are a promising method for interpreting embeddings from deep neural network models, such as CLIP. While these…

机器学习 · 计算机科学 2025-06-18 Jitian Zhao , Chenghui Li , Frederic Sala , Karl Rohe

We argue that the existing knowledge about modular decomposition of graphs and clan decomposition of 2-structures can be put to use advantageously in a context of data analysis. We show how to obtain visual descriptions of co-occurrence…

数据库 · 计算机科学 2020-11-03 Marie Ely Piceno , José Luis Balcázar

A system of nested dichotomies is a method of decomposing a multi-class problem into a collection of binary problems. Such a system recursively splits the set of classes into two subsets, and trains a binary classifier to distinguish…

机器学习 · 统计学 2016-07-06 Tim Leathart , Bernhard Pfahringer , Eibe Frank

Existing scene understanding systems mainly focus on recognizing the visible parts of a scene, ignoring the intact appearance of physical objects in the real-world. Concurrently, image completion has aimed to create plausible appearance for…

计算机视觉与模式识别 · 计算机科学 2021-04-13 Chuanxia Zheng , Duy-Son Dao , Guoxian Song , Tat-Jen Cham , Jianfei Cai

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

机器学习 · 计算机科学 2022-08-30 Miao Cheng , Xinge You

Large pretrained foundation models demonstrate exceptional performance and, in some high-stakes applications, even surpass human experts. However, most of these models are currently evaluated primarily on prediction accuracy, overlooking…

机器学习 · 计算机科学 2024-11-08 Tang Li , Mengmeng Ma , Xi Peng