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We present a new approach to study measures on ensembles of contours, polymers or other objects interacting by some sort of exclusion condition. For concreteness we develop it here for the case of Peierls contours. Unlike existing methods,…

概率论 · 数学 2016-08-15 Roberto Fernández , Pablo A. Ferrari , Nancy L. Garcia

Modular flavor symmetries have been proposed as a new way to address the flavor problem. It is known that they can emerge from string compactifications. We discuss this connection in detail, and show how the congruence subgroups of SL(2,Z),…

高能物理 - 理论 · 物理学 2025-06-19 Xueqi Li , Xiang-Gan Liu , Hans Peter Nilles , Michael Ratz , Alex Stewart

1) We introduce random discrete Morse theory as a computational scheme to measure the complicatedness of a triangulation. The idea is to try to quantify the frequence of discrete Morse matchings with a certain number of critical cells. Our…

计算几何 · 计算机科学 2014-04-21 Bruno Benedetti , Frank H. Lutz

We present a melody based classification of musical styles by exploiting the pitch and energy based characteristics derived from the audio signal. Three prominent musical styles were chosen which have improvisation as integral part with…

声音 · 计算机科学 2019-06-24 Amruta Vidwans , Prateek Verma , Preeti Rao

Despite the inherent lack of a ground truth in clustering, a broad consensus is overall acknowledged in defining the concept of cluster in the continuous setting. Conversely, this remains controversial in the presence of categorical data.…

统计方法学 · 统计学 2025-02-24 Noemi Corsini , Giovanna Menardi

We conjecture a characterization of a cluster automorphism as an algebra homomorphism from the cluster algebra to itself that restricts to a bijection between two clusters. This formulation does not require that the map commutes with…

表示论 · 数学 2019-07-16 Wen Chang , Ralf Schiffler

We study supervised learning problems using clustering constraints to impose structure on either features or samples, seeking to help both prediction and interpretation. The problem of clustering features arises naturally in text…

机器学习 · 计算机科学 2016-09-20 Vincent Roulet , Fajwel Fogel , Alexandre d'Aspremont , Francis Bach

Mode clustering is a nonparametric method for clustering that defines clusters using the basins of attraction of a density estimator's modes. We provide several enhancements to mode clustering: (i) a soft variant of cluster assignment, (ii)…

统计方法学 · 统计学 2015-12-23 Yen-Chi Chen , Christopher R. Genovese , Larry Wasserman

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

社会与信息网络 · 计算机科学 2011-09-09 Matthew Rocklin , Ali Pinar

We describe and experimentally evaluate a method for automatically clustering words according to their distribution in particular syntactic contexts. Deterministic annealing is used to find lowest distortion sets of clusters. As the…

cmp-lg · 计算机科学 2008-02-03 Fernando Pereira , Naftali Tishby , Lillian Lee

Recent advances in cultural analytics and large-scale computational studies of art, literature and film often show that long-term change in the features of artistic works happens gradually. These findings suggest that conservative forces…

计算与语言 · 计算机科学 2022-05-04 Artjoms Šeļa , Petr Plecháč , Alie Lassche

Speech-based clinical tools are increasingly deployed in multilingual settings, yet whether pathological speech markers remain geometrically separable from accent variation remains unclear. Systems may misclassify healthy non-native…

声音 · 计算机科学 2026-02-25 Bipasha Kashyap , Pubudu N. Pathirana

A commonly-cited reason for the poor performance of automatic chord estimation (ACE) systems within music information retrieval (MIR) is that non-chord tones (i.e., notes outside the supporting harmony) contribute to error during the…

声音 · 计算机科学 2021-05-13 Tianxue Hu , Claire Arthur

Usual formulations of the clustering coefficient can be shown to be insufficient in the task of describing the local topology of very simple networks. Motivated by this, we review some alternatives in order to present an extension, the…

数据分析、统计与概率 · 物理学 2007-05-23 Alexandre H. Abdo , A. P. S. de Moura

Topic models extract representative word sets - called topics - from word counts in documents without requiring any semantic annotations. Topics are not guaranteed to be well interpretable, therefore, coherence measures have been proposed…

机器学习 · 计算机科学 2014-03-26 Frank Rosner , Alexander Hinneburg , Michael Röder , Martin Nettling , Andreas Both

All poetic forms come from somewhere. Prosodic templates can be copied for generations, altered by individuals, imported from foreign traditions, or fundamentally changed under the pressures of language evolution. Yet these relationships…

计算与语言 · 计算机科学 2024-04-29 Ben Nagy , Artjoms Šeļa , Mirella De Sisto , Petr Plecháč

Designing efficient, effective, and consistent metric clustering algorithms is a significant challenge attracting growing attention. Traditional approaches focus on the stability of cluster centers; unfortunately, this neglects the…

Structural segmentation of music refers to the task of finding a symbolic representation of the organisation of a song, reducing the musical flow to a partition of non-overlapping segments. Under this definition, the musical structure may…

声音 · 计算机科学 2022-12-23 Axel Marmoret , Jérémy E. Cohen , Frédéric Bimbot

Clustering-based speaker diarization has stood firm as one of the major approaches in reality, despite recent development in end-to-end diarization. However, clustering methods have not been explored extensively for speaker diarization.…

声音 · 计算机科学 2022-04-27 Siqi Zheng , Hongbin Suo

This paper builds the clustering model of measures of market microstructure features which are popular in predicting stock returns. In a 10-second time-frequency, we study the clustering structure of different measures to find out the best…

统计金融 · 定量金融 2021-12-28 Liao Zhu , Ningning Sun , Martin T. Wells