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In this work we present a clustering technique called \textit{multi-level conformal clustering (MLCC)}. The technique is hierarchical in nature because it can be performed at multiple significance levels which yields greater insight into…

Machine Learning · Statistics 2020-06-25 Ilia Nouretdinov , James Gammerman , Matteo Fontana , Daljit Rehal

Clustering is a fundamental analysis tool aiming at classifying data points into groups based on their similarity or distance. It has found successful applications in all natural and social sciences, including biology, physics, economics,…

Information Retrieval · Computer Science 2021-02-24 Wen-Bo Xie , Yan-Li Lee , Cong Wang , Duan-Bing Chen , Tao Zhou

Biological and advanced cyberphysical control systems often have limited, sparse, uncertain, and distributed communication and computing in addition to sensing and actuation. Fortunately, the corresponding plants and performance…

Systems and Control · Electrical Eng. & Systems 2019-07-08 Yuh-Shyang Wang , Nikolai Matni , John C. Doyle

We introduce a synthetic control methodology to study policies with staggered adoption. Many policies, such as the board gender diversity policies, are replicated by other policy setters at different time frames. Our method estimates the…

Econometrics · Economics 2025-11-18 Jianfei Cao , Shirley Lu , Hang Wu

Generating synthetic datasets that accurately reflect real-world observational data is critical for evaluating causal estimators, but it remains a challenging task. Existing generative methods offer a solution by producing synthetic…

Machine Learning · Computer Science 2026-04-07 Pracheta Amaranath , Vinitra Muralikrishnan , Amit Sharma , David Jensen

One key use of k-means clustering is to identify cluster prototypes which can serve as representative points for a dataset. However, a drawback of using k-means cluster centers as representative points is that such points distort the…

Machine Learning · Statistics 2019-11-15 Arvind Krishna , Simon Mak , Roshan Joseph

The switch from a Model-Centric to a Data-Centric mindset is putting emphasis on data and its quality rather than algorithms, bringing forward new challenges. In particular, the sensitive nature of the information in highly regulated…

Machine Learning · Computer Science 2022-04-14 Giorgio Visani , Giacomo Graffi , Mattia Alfero , Enrico Bagli , Davide Capuzzo , Federico Chesani

This article studies experimental design in settings where the experimental units are large aggregate entities (e.g., markets), and only one or a small number of units can be exposed to the treatment. In such settings, randomization of the…

Methodology · Statistics 2025-04-24 Alberto Abadie , Jinglong Zhao

Identification of the clusters from an unlabeled data set is one of the most important problems in Unsupervised Machine Learning. The state of the art clustering algorithms are based on either the statistical properties or the geometric…

Machine Learning · Computer Science 2018-01-04 Sambarta Dasgupta , Keivan Ebrahimi , Umesh Vaidya

Whilst contrastive learning has recently brought notable benefits to deep clustering of unlabelled images by learning sample-specific discriminative visual features, its potential for explicitly inferring class decision boundaries is less…

Computer Vision and Pattern Recognition · Computer Science 2022-11-22 Jiabo Huang , Shaogang Gong

Dataset Distillation (DD) aims to synthesize a small dataset capable of performing comparably to the original dataset. Despite the success of numerous DD methods, theoretical exploration of this area remains unaddressed. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Shaobo Wang , Yantai Yang , Qilong Wang , Kaixin Li , Linfeng Zhang , Junchi Yan

Clustering is a difficult and widely-studied data mining task, with many varieties of clustering algorithms proposed in the literature. Nearly all algorithms use a similarity measure such as a distance metric (e.g. Euclidean distance) to…

Neural and Evolutionary Computing · Computer Science 2019-10-24 Andrew Lensen , Bing Xue , Mengjie Zhang

We present a framework for clustering with cluster-specific feature selection. The framework, CRAFT, is derived from asymptotic log posterior formulations of nonparametric MAP-based clustering models. CRAFT handles assorted data, i.e., both…

Machine Learning · Computer Science 2015-06-26 Vikas K. Garg , Cynthia Rudin , Tommi Jaakkola

Sparse Subspace Clustering (SSC) is a popular unsupervised machine learning method for clustering data lying close to an unknown union of low-dimensional linear subspaces; a problem with numerous applications in pattern recognition and…

Machine Learning · Computer Science 2019-07-19 Manolis C. Tsakiris , Rene Vidal

Single-cell RNA sequencing (scRNA-seq) enables researchers to analyze gene expression at single-cell level. One important task in scRNA-seq data analysis is unsupervised clustering, which helps identify distinct cell types, laying down the…

Genomics · Quantitative Biology 2023-12-29 Weikang Jiang , Jinxian Wang , Jihong Guan , Shuigeng Zhou

Synthetic biology is an interdisciplinary field aiming to design biochemical systems with desired behaviors. To this end, molecular controllers have been developed which, when embedded into a pre-existing ambient biochemical network,…

Molecular Networks · Quantitative Biology 2019-08-29 Tomislav Plesa , Guy-Bart Stan , Thomas E. Ouldridge , Wooli Bae

Functional data clustering is to identify heterogeneous morphological patterns in the continuous functions underlying the discrete measurements/observations. Application of functional data clustering has appeared in many publications across…

Methodology · Statistics 2022-10-04 Mimi Zhang , Andrew Parnell

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

Data Structures and Algorithms · Computer Science 2015-12-01 Ka-Chun Wong

Statistical disclosure control (SDC) was not created in a single seminal paper nor following the invention of a new mathematical technique, rather it developed slowly in response to the practical challenges faced by data practitioners based…

Cryptography and Security · Computer Science 2018-12-24 Mark Elliot , Josep Domingo-Ferrer

We generalize the synthetic control (SC) method to a multiple-outcome framework, where the conventional pre-treatment time dimension is supplemented with the extra dimension of related outcomes in computing the SC weights. This…

General Economics · Economics 2024-07-29 Wei Tian , Seojeong Lee , Valentyn Panchenko