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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,…

Probability · Mathematics 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),…

High Energy Physics - Theory · Physics 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…

Computational Geometry · Computer Science 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…

Sound · Computer Science 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.…

Methodology · Statistics 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…

Representation Theory · Mathematics 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…

Machine Learning · Computer Science 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)…

Methodology · Statistics 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…

Social and Information Networks · Computer Science 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 · Computer Science 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…

Computation and Language · Computer Science 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…

Sound · Computer Science 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…

Sound · Computer Science 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…

Data Analysis, Statistics and Probability · Physics 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…

Machine Learning · Computer Science 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…

Computation and Language · Computer Science 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…

Data Structures and Algorithms · Computer Science 2025-12-23 Diptarka Chakraborty , Hendrik Fichtenberger , Bernhard Haeupler , Silvio Lattanzi , Ashkan Norouzi-Fard , Ola Svensson

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…

Sound · Computer Science 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.…

Sound · Computer Science 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…

Statistical Finance · Quantitative Finance 2021-12-28 Liao Zhu , Ningning Sun , Martin T. Wells