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We propose a new analysis framework for clustering $M$ items into an unknown number of $K$ distinct groups using noisy and actively collected responses. At each time step, an agent is allowed to query pairs of items and observe bandit…

Machine Learning · Computer Science 2026-02-06 Rachel S. Y. Teo , P. N. Karthik , Ramya Korlakai Vinayak , Vincent Y. F. Tan

Most convex and nonconvex clustering algorithms come with one crucial parameter: the $k$ in $k$-means. To this day, there is not one generally accepted way to accurately determine this parameter. Popular methods are simple yet theoretically…

Machine Learning · Computer Science 2021-08-04 Sibylle Hess , Wouter Duivesteijn

Consider a classification problem where we do not have access to labels for individual training examples, but only have average labels over subpopulations. We give practical examples of this setup and show how such a classification task can…

Machine Learning · Statistics 2015-09-16 Stefan Wager , Alexander Blocker , Niall Cardin

While the success of semi-supervised learning (SSL) is still not fully understood, Sch\"olkopf et al. (2012) have established a link to the principle of independent causal mechanisms. They conclude that SSL should be impossible when…

Machine Learning · Statistics 2020-06-25 Julius von Kügelgen , Alexander Mey , Marco Loog , Bernhard Schölkopf

Semi-supervised learning (SSL) has shown notable potential in relieving the heavy demand of dense prediction tasks on large-scale well-annotated datasets, especially for the challenging multi-organ segmentation (MoS). However, the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Zhenghao Feng , Lu Wen , Yuanyuan Xu , Binyu Yan , Xi Wu , Jiliu Zhou , Yan Wang

Existing weakly-supervised semantic segmentation methods using image-level annotations typically rely on initial responses to locate object regions. However, such response maps generated by the classification network usually focus on…

Computer Vision and Pattern Recognition · Computer Science 2020-08-05 Yu-Ting Chang , Qiaosong Wang , Wei-Chih Hung , Robinson Piramuthu , Yi-Hsuan Tsai , Ming-Hsuan Yang

The recently emerged spectral clustering surpasses conventional clustering methods by detecting clusters of any shape without the convexity assumption. Unfortunately, with a computational complexity of $O(n^3)$, it was infeasible for…

Machine Learning · Computer Science 2023-02-23 Mashaan Alshammari , Masahiro Takatsuka

We consider semi-supervised classification when part of the available data is unlabeled. These unlabeled data can be useful for the classification problem when we make an assumption relating the behavior of the regression function to that…

Statistics Theory · Mathematics 2007-06-13 Philippe Rigollet

We develop an iterative subsampling approach to improve the computational efficiency of our previous work on solution path clustering (SPC). The SPC method achieves clustering by concave regularization on the pairwise distances between…

Methodology · Statistics 2016-09-16 Yuliya Marchetti , Qing Zhou

Sparse Subspace Clustering (SSC) is one of the most popular methods for clustering data points into their underlying subspaces. However, SSC may suffer from heavy computational burden. Orthogonal Matching Pursuit applied on SSC accelerates…

Machine Learning · Computer Science 2020-01-08 Wenqi Zhu , Yuesheng Zhu , Li Zhong , Shuai Yang

This paper initiates the study of active learning for exact recovery of partitions exclusively through access to a same-cluster oracle in the presence of bounded adversarial error. We first highlight a novel connection between learning…

Data Structures and Algorithms · Computer Science 2023-06-21 Adela Frances DePavia , Olga Medrano Martín del Campo , Erasmo Tani

Spectral clustering is a fundamental technique in the field of data mining and information processing. Most existing spectral clustering algorithms integrate dimensionality reduction into the clustering process assisted by manifold learning…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang , Xiaofang Zhou

Recently, there has been substantial interest in clustering research that takes a beyond worst-case approach to the analysis of algorithms. The typical idea is to design a clustering algorithm that outputs a near-optimal solution, provided…

Data Structures and Algorithms · Computer Science 2018-12-31 Maria-Florina Balcan , Colin White

In the universal blind quantum computation problem, a client wants to make use of a single quantum server to evaluate $C|0\rangle$ where $C$ is an arbitrary quantum circuit while keeping $C$ secret. The client's goal is to use as few…

Quantum Physics · Physics 2023-03-06 Jiayu Zhang

The question of answering queries over ML predictions has been gaining attention in the database community. This question is challenging because the cost of finding high quality answers corresponds to invoking an oracle such as a human…

Databases · Computer Science 2022-11-18 Dujian Ding , Sihem Amer-Yahia , Laks VS Lakshmanan

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

Machine Learning · Statistics 2012-03-07 Brian McWilliams , Giovanni Montana

Cluster abundance measurements are among the most sensitive probes of the amplitude of matter fluctuations in the universe, which in turn can help constrain other cosmological parameters, like the dark energy equation of state or neutrino…

Astrophysics · Physics 2010-10-27 Rachel Mandelbaum , Uros Seljak

We study the problem of clustering with relative constraints, where each constraint specifies relative similarities among instances. In particular, each constraint $(x_i, x_j, x_k)$ is acquired by posing a query: is instance $x_i$ more…

Machine Learning · Computer Science 2015-01-05 Yuanli Pei , Xiaoli Z. Fern , Rómer Rosales , Teresa Vania Tjahja

In this paper, we consider the problem of partitioning a small data sample of size $n$ drawn from a mixture of $2$ sub-gaussian distributions. Our work is motivated by the application of clustering individuals according to their population…

Statistics Theory · Mathematics 2023-01-05 Shuheng Zhou

We consider the semi-supervised clustering problem where crowdsourcing provides noisy information about the pairwise comparisons on a small subset of data, i.e., whether a sample pair is in the same cluster. We propose a new approach that…

Machine Learning · Statistics 2018-10-30 Yucen Luo , Tian Tian , Jiaxin Shi , Jun Zhu , Bo Zhang