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Silhouette coefficient is an established internal clustering evaluation measure that produces a score per data point, assessing the quality of its clustering assignment. To assess the quality of the clustering of the whole dataset, the…

机器学习 · 计算机科学 2024-06-25 John Pavlopoulos , Georgios Vardakas , Aristidis Likas

Determining the number of clusters is a central challenge in unsupervised learning, where ground-truth labels are unavailable. The Silhouette coefficient is a widely used internal validation metric for this task, yet its standard…

机器学习 · 计算机科学 2026-04-16 Aggelos Semoglou , Aristidis Likas , John Pavlopoulos

Recently, we have proposed coordinated choices, which are nondeterministic choices equipped with names. The main characteristic of coordinated choices is that they synchronize nondeterministic decision among choices of the same name. The…

编程语言 · 计算机科学 2020-05-05 Yuki Nishida , Atsushi Igarashi

An approach based on the kernel methods for capturing the nonlinear interdependence between two signals is introduced. It is demonstrated that the proposed approach is useful for characterizing generalized synchronization with a successful…

混沌动力学 · 物理学 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

Background: With the rapid growth of massively parallel sequencing technologies, still more laboratories are utilizing sequenced DNA fragments for genomic analyses. Interpretation of sequencing data is, however, strongly dependent on…

A merge tree is a topological descriptor of a real-valued function. Merge trees are used in visualization and topological data analysis, either directly or as a means to another end: computing a 0-dimensional persistence diagram,…

计算几何 · 计算机科学 2023-01-31 Arnur Nigmetov , Dmitriy Morozov

Fully coherent searches (over realistic ranges of parameter space and year-long observation times) for unknown sources of continuous gravitational waves are computationally prohibitive. Less expensive hierarchical searches divide the data…

广义相对论与量子宇宙学 · 物理学 2009-10-27 Holger J. Pletsch , Bruce Allen

We obtain sequences of inclusion sets for the spectrum, essential spectrum, and pseudospectrum of banded, in general non-normal, matrices of finite or infinite size. Each inclusion set is the union of the pseudospectra of certain…

Query evaluation over probabilistic databases is known to be intractable in many cases, even in data complexity, i.e., when the query is fixed. Although some restrictions of the queries [19] and instances [4] have been proposed to lower the…

数据库 · 计算机科学 2019-08-28 Antoine Amarilli , Mikaël Monet , Pierre Senellart

Software for mixed-integer linear programming can return incorrect results for a number of reasons, one being the use of inexact floating-point arithmetic. Even solvers that employ exact arithmetic may suffer from programming or algorithmic…

最优化与控制 · 数学 2019-01-03 Kevin K. H. Cheung , Ambros Gleixner , Daniel E. Steffy

Time series chain (TSC) is a recently introduced concept that captures the evolving patterns in large scale time series. Informally, a time series chain is a temporally ordered set of subsequences, in which consecutive subsequences in the…

机器学习 · 计算机科学 2026-02-17 Li Zhang , Nital Patel , Xiuqi Li , Jessica Lin

Vision-language models like CLIP have demonstrated remarkable zero-shot capabilities in classification and retrieval. However, these models often struggle with compositional reasoning - the ability to understand the relationships between…

机器学习 · 计算机科学 2025-10-29 Amit Peleg , Naman Deep Singh , Matthias Hein

Sequential Recommender Systems (SRSs) have emerged as a highly efficient approach to recommendation systems. By leveraging sequential data, SRSs can identify temporal patterns in user behaviour, significantly improving recommendation…

We study the problem of non-parametric clustering of data sequences, where each data sequence comprises independent and identically distributed (i.i.d.) samples generated from an unknown distribution. The true clusters are the clusters…

信号处理 · 电气工程与系统科学 2026-01-21 G Dhinesh Chandran , Kota Srinivas Reddy , Srikrishna Bhashyam

Data fusion is the combination of the results of independent searches on a document collection into one single output result set. It has been shown in the past that this can greatly improve retrieval effectiveness over that of the…

信息检索 · 计算机科学 2014-10-01 David Lillis , Fergus Toolan , Rem Collier , John Dunnion

ColorFull, a C++ package for treating QCD color structure, is presented. ColorFull, which utilizes the trace basis approach, is intended for interfacing with event generators, but can also be used as a stand-alone package for squaring QCD…

高能物理 - 唯象学 · 物理学 2015-06-30 Malin Sjodahl

Model selection is a ubiquitous problem that arises in the application of many statistical and machine learning methods. In the likelihood and related settings, it is typical to use the method of information criteria (IC) to choose the most…

统计理论 · 数学 2024-08-13 Hien Duy Nguyen

In unsupervised outlier ensembles, the absence of ground truth makes the combination of base outlier detectors a challenging task. Specifically, existing parallel outlier ensembles lack a reliable way of selecting competent base detectors,…

机器学习 · 计算机科学 2019-09-24 Yue Zhao , Zain Nasrullah , Maciej K. Hryniewicki , Zheng Li

The kernel polynomial method allows to sample overall spectral properties of a quantum system, while sparse diagonalization provides accurate information about a few important states. We present a method combining these two approaches…

Recently, sparsity-based algorithms are proposed for super-resolution spectrum estimation. However, to achieve adequately high resolution in real-world signal analysis, the dictionary atoms have to be close to each other in frequency,…

机器学习 · 统计学 2015-06-05 Yiyuan She , Huanghuang Li , Jiangping Wang , Dapeng Wu