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Decision trees are one of the most popular methods for solving classification problems, mainly because of their good interpretability properties. Moreover, due to advances in recent years in mixed-integer optimization, several models have…

Optimization and Control · Mathematics 2026-05-29 Jan Pablo Burgard , Maria Eduarda Pinheiro , Martin Schmidt

Clustering stands as one of the most prominent challenges in unsupervised machine learning. Among centroid-based methods, the classic $k$-means algorithm, based on Lloyd's heuristic, is widely used. Nonetheless, it is a well-known fact that…

Machine Learning · Statistics 2025-01-30 Supratik Basu , Jyotishka Ray Choudhury , Debolina Paul , Swagatam Das

We develop novel clustering algorithms for functional data when the number of clusters $K$ is unknown and also when it is prefixed. These algorithms are developed based on the Maximum Mean Discrepancy (MMD) measure between two sets of…

Methodology · Statistics 2025-07-16 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

Recently, many unsupervised deep learning methods have been proposed to learn clustering with unlabelled data. By introducing data augmentation, most of the latest methods look into deep clustering from the perspective that the original…

Computer Vision and Pattern Recognition · Computer Science 2020-08-28 Huasong Zhong , Chong Chen , Zhongming Jin , Xian-Sheng Hua

Numerous studies attempt to mitigate classification bias caused by class imbalance. However, existing studies have yet to explore the collaborative optimization of imbalanced learning and model training. This constraint hinders further…

Machine Learning · Computer Science 2025-12-30 Chuantao Li , Zhi Li , Jiahao Xu , Jie Li , Sheng Li

This study conducts a benchmarking study, comparing 23 different statistical and machine learning methods in a credit scoring application. In order to do so, the models' performance is evaluated over four different data sets in combination…

Econometrics · Economics 2019-07-31 Anna Stelzer

Clustering is a well-known unsupervised machine learning approach capable of automatically grouping discrete sets of instances with similar characteristics. Constrained clustering is a semi-supervised extension to this process that can be…

Machine Learning · Computer Science 2023-03-02 Germán González-Almagro , Daniel Peralta , Eli De Poorter , José-Ramón Cano , Salvador García

As in other estimation scenarios, likelihood based estimation in the normal mixture set-up is highly non-robust against model misspecification and presence of outliers (apart from being an ill-posed optimization problem). A robust…

Methodology · Statistics 2023-12-20 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

We study the clustering problem for mixtures of bounded covariance distributions, under a fine-grained separation assumption. Specifically, given samples from a $k$-component mixture distribution $D = \sum_{i =1}^k w_i P_i$, where each $w_i…

Machine Learning · Computer Science 2023-12-20 Ilias Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

The detection of cyber-attacks in computer networks is a crucial and ongoing research challenge. Machine learning-based attack classification offers a promising solution, as these models can be continuously updated with new data, enhancing…

Cryptography and Security · Computer Science 2024-08-30 Maximilian Wolf , Dieter Landes , Andreas Hotho , Daniel Schlör

Quantum machine learning is considered one of the current research fields with immense potential. In recent years, Havl\'i\v{c}ek et al. [Nature 567, 209-212 (2019)] have proposed a quantum machine learning algorithm with quantum-enhanced…

Quantum Physics · Physics 2025-06-09 Chao Ding , Shi Wang , Yaonan Wang , Weibo Gao

Multi-view clustering has attracted broad attention due to its capacity to utilize consistent and complementary information among views. Although tremendous progress has been made recently, most existing methods undergo high complexity,…

Machine Learning · Computer Science 2023-06-28 Xinhang Wan , Jiyuan Liu , Xinwang Liu , Siwei Wang , Yi Wen , Tianjiao Wan , Li Shen , En Zhu

How to find a natural grouping of a large real data set? Clustering requires a balance between abstraction and representation. To identify clusters, we need to abstract from superfluous details of individual objects. But we also need a rich…

Machine Learning · Computer Science 2026-01-19 Claudia Plant , Lena G. M. Bauer , Christian Böhm

Clinicians usually combine information from multiple sources to achieve the most accurate diagnosis, and this has sparked increasing interest in leveraging multimodal deep learning for diagnosis. However, in real clinical scenarios, due to…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Kai Han , Chongwen Lyu , Lele Ma , Chengxuan Qian , Siqi Ma , Zheng Pang , Jun Chen , Zhe Liu

Machine learning algorithms have recently been used to predict students' performance in an introductory physics class. The prediction model classified students as those likely to receive an A or B or students likely to receive a grade of C,…

Physics Education · Physics 2020-11-04 Jie Yang , Seth DeVore , Dona Hewagallage , Paul Miller , Qing X. Ryan , John Stewart

Clustering serves as a vital tool for uncovering latent data structures, and achieving both high accuracy and interpretability is essential. To this end, existing methods typically construct binary decision trees by solving mixed-integer…

Machine Learning · Computer Science 2026-02-17 Hayato Suzuki , Shunnosuke Ikeda , Yuichi Takano

Clustering is a fundamental task in machine learning and data science, and similarity graph-based clustering is an important approach within this domain. Doubly stochastic symmetric similarity graphs provide numerous benefits for clustering…

Machine Learning · Computer Science 2024-08-13 Jinghui Yuan , Chusheng Zeng , Fangyuan Xie , Zhe Cao , Mulin Chen , Rong Wang , Feiping Nie , Yuan Yuan

Classical optimization algorithms--hill climbing, simulated annealing, population-based methods--generate candidate solutions via random perturbations. We replace the random proposal generator with an LLM agent that reasons about evaluation…

Artificial Intelligence · Computer Science 2026-03-31 Yitao Li

Sum-of-norms clustering is a clustering formulation based on convex optimization that automatically induces hierarchy. Multiple algorithms have been proposed to solve the optimization problem: subgradient descent by Hocking et al., ADMM and…

Machine Learning · Computer Science 2021-07-09 Tao Jiang , Stephen Vavasis

Random forests are among the most famous algorithms for solving classification problems, in particular for large-scale data sets. Considering a set of labeled points and several decision trees, the method takes the majority vote to classify…

Optimization and Control · Mathematics 2025-01-24 Jan Pablo Burgard , Maria Eduarda Pinheiro , Martin Schmidt
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