Scalable Model-Based Clustering with Sequential Monte Carlo
- URL: http://arxiv.org/abs/2604.14810v1
- Date: Thu, 16 Apr 2026 09:31:44 GMT
- Title: Scalable Model-Based Clustering with Sequential Monte Carlo
- Abstract summary: In online clustering problems, there is often a large amount of uncertainty over possible cluster assignments.<n>Traditional Monte Carlo methods have prohibitive memory requirements for large-scale problems.<n>We propose a novel SMC algorithm that decomposes clustering problems into approximately independent subproblems.
- Score: 9.585133556360962
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In online clustering problems, there is often a large amount of uncertainty over possible cluster assignments that cannot be resolved until more data are observed. This difficulty is compounded when clusters follow complex distributions, as is the case with text data. Sequential Monte Carlo (SMC) methods give a natural way of representing and updating this uncertainty over time, but have prohibitive memory requirements for large-scale problems. We propose a novel SMC algorithm that decomposes clustering problems into approximately independent subproblems, allowing a more compact representation of the algorithm state. Our approach is motivated by the knowledge base construction problem, and we show that our method is able to accurately and efficiently solve clustering problems in this setting and others where traditional SMC struggles.
Related papers
- Variational Consensus Monte Carlo for Bayesian Mixture [0.0]
Motivated by the privacy, sensitivity and sharing limitations of health data, we present a comprehensive pipeline for inference of Bayesian mixture models.<n>We adopt a Consensus Monte Carlo approach, in which an MCMC algorithm is run independently within each data silo to estimate local posterior distributions.<n>A comprehensive simulation study validates the framework and allows us to compare to state-of-the-art federated learning alternatives.
arXiv Detail & Related papers (2026-06-17T22:48:43Z) - Generalized Deep Multi-view Clustering via Causal Learning with Partially Aligned Cross-view Correspondence [72.41989962665285]
Multi-view clustering (MVC) aims to explore the common clustering structure across multiple views.<n>However, real-world scenarios often present a challenge as only partial data is consistently aligned across different views.<n>We design a causal multi-view clustering network, termed CauMVC, to tackle this problem.
arXiv Detail & Related papers (2025-09-19T14:31:40Z) - A system identification approach to clustering vector autoregressive time series [50.66782357329375]
Clustering time series based on their underlying dynamics is keeping attracting researchers due to its impacts on assisting complex system modelling.<n>Most current time series clustering methods handle only scalar time series, treat them as white noise, or rely on domain knowledge for high-quality feature construction.<n>Instead of relying on feature/metric construction, the system identification approach allows treating vector time series clustering by explicitly considering their underlying autoregressive dynamics.
arXiv Detail & Related papers (2025-05-20T14:31:44Z) - CDIMC-net: Cognitive Deep Incomplete Multi-view Clustering Network [53.72046586512026]
We propose a novel incomplete multi-view clustering network, called Cognitive Deep Incomplete Multi-view Clustering Network (CDIMC-net)
It captures the high-level features and local structure of each view by incorporating the view-specific deep encoders and graph embedding strategy into a framework.
Based on the human cognition, i.e., learning from easy to hard, it introduces a self-paced strategy to select the most confident samples for model training.
arXiv Detail & Related papers (2024-03-28T15:45:03Z) - Revisiting Instance-Optimal Cluster Recovery in the Labeled Stochastic Block Model [85.51611950757643]
We propose IAC (Instance-Adaptive Clustering), the first algorithm whose performance matches the instance-specific lower bounds both in expectation and with high probability.<n>IAC maintains an overall computational complexity of $ mathcalO(n, textpolylog(n) $, making it scalable and practical for large-scale problems.
arXiv Detail & Related papers (2023-06-18T08:46:06Z) - Hard Regularization to Prevent Deep Online Clustering Collapse without
Data Augmentation [65.268245109828]
Online deep clustering refers to the joint use of a feature extraction network and a clustering model to assign cluster labels to each new data point or batch as it is processed.
While faster and more versatile than offline methods, online clustering can easily reach the collapsed solution where the encoder maps all inputs to the same point and all are put into a single cluster.
We propose a method that does not require data augmentation, and that, differently from existing methods, regularizes the hard assignments.
arXiv Detail & Related papers (2023-03-29T08:23:26Z) - A Non-Parametric Bootstrap for Spectral Clustering [0.7673339435080445]
We develop two novel algorithms that incorporate the spectral decomposition of the data matrix and a non-parametric bootstrap sampling scheme.
Our techniques are more consistent in their convergence when compared to other bootstrapped algorithms that fit finite mixture models.
arXiv Detail & Related papers (2022-09-13T08:37:05Z) - Adaptively-weighted Integral Space for Fast Multiview Clustering [54.177846260063966]
We propose an Adaptively-weighted Integral Space for Fast Multiview Clustering (AIMC) with nearly linear complexity.
Specifically, view generation models are designed to reconstruct the view observations from the latent integral space.
Experiments conducted on several realworld datasets confirm the superiority of the proposed AIMC method.
arXiv Detail & Related papers (2022-08-25T05:47:39Z) - DG-LMC: A Turn-key and Scalable Synchronous Distributed MCMC Algorithm [21.128416842467132]
We derive a user-friendly centralised distributed MCMC algorithm with provable scaling in high-dimensional settings.
We illustrate the relevance of the proposed methodology on both synthetic and real data experiments.
arXiv Detail & Related papers (2021-06-11T10:37:14Z) - Variational Combinatorial Sequential Monte Carlo Methods for Bayesian
Phylogenetic Inference [4.339931151475307]
We introduce Vari Combinatorial Monte Carlo (VCSMC), a powerful framework that establishes variational search to learn over intricate structures.
We show that VCSMC and CSMC are efficient and explore higher probability spaces than existing methods on a range of tasks.
arXiv Detail & Related papers (2021-05-31T19:44:24Z) - The effect of measurement error on clustering algorithms [0.0]
We investigate the sensitivity of two common clustering algorithms, GMMs with merging and DBSCAN, to random and systematic error.
We find that measurement error is particularly problematic when it is systematic and when it affects all variables in the dataset.
For the conditions considered here, we also find that the partition-based GMM with merged components is less sensitive to measurement error than the density-based DBSCAN procedure.
arXiv Detail & Related papers (2020-05-24T13:36:30Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.