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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…

Machine Learning · Computer Science 2026-04-16 Aggelos Semoglou , Aristidis Likas , John Pavlopoulos

Part-based representation has been proven to be effective for a variety of visual applications. However, automatic discovery of discriminative parts without object/part-level annotations is challenging. This paper proposes a discriminative…

Computer Vision and Pattern Recognition · Computer Science 2017-05-30 Xiaopeng Zhang , Hongkai Xiong , Weiyao Lin , Qi Tian

In this work, we propose a semi-supervised method for short text clustering, where we represent texts as distributed vectors with neural networks, and use a small amount of labeled data to specify our intention for clustering. We design a…

Computation and Language · Computer Science 2017-07-18 Zhiguo Wang , Haitao Mi , Abraham Ittycheriah

We investigate a fundamental aspect of machine vision: the measurement of features, by revisiting clustering, one of the most classic approaches in machine learning and data analysis. Existing visual feature extractors, including ConvNets,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-27 Guikun Chen , Xia Li , Yi Yang , Wenguan Wang

In general, the clustering problem is NP-hard, and global optimality cannot be established for non-trivial instances. For high-dimensional data, distance-based methods for clustering or classification face an additional difficulty, the…

Statistics Theory · Mathematics 2016-04-26 Tsvetan Asamov , Adi Ben-Israel

Effective representation of data is crucial in various machine learning tasks, as it captures the underlying structure and context of the data. Embeddings have emerged as a powerful technique for data representation, but evaluating their…

Machine Learning · Computer Science 2023-09-21 Sarwan Ali

Stochastic programming is widely used for energy system design optimization under uncertainty but can exponentially increase the computational complexity with the number of scenarios. Common scenario reduction techniques, like…

Optimization and Control · Mathematics 2025-08-14 Boyung Jürgens , Hagen Seele , Hendrik Schricker , Christiane Reinert , Niklas von der Assen

What does it mean for a clustering to be fair? One popular approach seeks to ensure that each cluster contains groups in (roughly) the same proportion in which they exist in the population. The normative principle at play is balance: any…

Machine Learning · Computer Science 2021-01-29 Mohsen Abbasi , Aditya Bhaskara , Suresh Venkatasubramanian

Random restart of a given algorithm produces many partitions to yield a consensus clustering. Ensemble methods such as consensus clustering have been recognized as more robust approaches for data clustering than single clustering…

Machine Learning · Statistics 2021-02-09 Serge Vicente , Alejandro Murua

Clustering is a long-standing problem area in data mining. The centroid-based classical approaches to clustering mainly face difficulty in the case of high dimensional inputs such as images. With the advent of deep neural networks, a common…

Machine Learning · Computer Science 2024-12-02 Debapriya Roy

In the big data era researchers face a series of problems. Even standard approaches/methodologies, like linear regression, can be difficult or problematic with huge volumes of data. Traditional approaches for regression in big datasets may…

Methodology · Statistics 2024-11-13 Vasilis Chasiotis , Dimitris Karlis

Predicting the strategy (sequence of concepts) that a student is likely to use in problem-solving helps Adaptive Instructional Systems (AISs) better adapt themselves to different types of learners based on their learning abilities. This can…

Computers and Society · Computer Science 2024-01-19 Anup Shakya , Vasile Rus , Deepak Venugopal

Important information concerning a multivariate data set, such as clusters and modal regions, is contained in the derivatives of the probability density function. Despite this importance, nonparametric estimation of higher order derivatives…

Statistics Theory · Mathematics 2022-03-04 José E. Chacón , Tarn Duong

Clustering is one of the most fundamental tools in the artificial intelligence area, particularly in the pattern recognition and learning theory. In this paper, we propose a simple, but novel approach for variance-based k-clustering tasks,…

Machine Learning · Computer Science 2020-09-17 Yicheng Xu , Vincent Chau , Chenchen Wu , Yong Zhang , Vassilis Zissimopoulos , Yifei Zou

In recent years, there has been a surge in effort to formalize notions of fairness in machine learning. We focus on centroid clustering--one of the fundamental tasks in unsupervised machine learning. We propose a new axiom ``proportionally…

Machine Learning · Computer Science 2024-11-05 Haris Aziz , Barton E. Lee , Sean Morota Chu , Jeremy Vollen

We tackle the problem of Selective Classification where the objective is to achieve the best performance on a predetermined ratio (coverage) of the dataset. Recent state-of-the-art selective methods come with architectural changes either…

Machine Learning · Computer Science 2023-03-03 Leo Feng , Mohamed Osama Ahmed , Hossein Hajimirsadeghi , Amir Abdi

Unsupervised classification called clustering is a process of organizing objects into groups whose members are similar in some way. Clustering of uncertain data objects is a challenge in spatial data bases. In this paper we use Probability…

Databases · Computer Science 2013-12-10 Ramachandra Rao Kurada

In the era of Big Data, scalable and accurate clustering algorithms for high-dimensional data are essential. We present new Bayesian Distance Clustering (BDC) models and inference algorithms with improved scalability while maintaining the…

Methodology · Statistics 2024-09-02 Rafael Cabral , Maria de Iorio , Andrew Harris

When underlying probability density functions of nonlinear dynamic systems are unknown, the filtering problem is known to be a challenging problem. This paper attempts to make progress on this problem by proposing a new class of filtering…

Statistics Theory · Mathematics 2016-06-17 Zhiguo Wang , Xiaojing Shen , Yunmin Zhu , Jianxin Pan

Clustering algorithms are fundamental tools across many fields, with density-based methods offering particular advantages in identifying arbitrarily shaped clusters and handling noise. However, their effectiveness is often limited by the…

Machine Learning · Computer Science 2025-12-01 Meysam Shirdel Bilehsavar , Razieh Ghaedi , Samira Seyed Taheri , Xinqi Fan , Christian O'Reilly