arXiv:2605.13128stat.MLcs.LG2026-05

用神经网络自动学习时间序列聚类规则,无需手动选算法或定聚类数。

Amortized Neural Clustering of Time Series based on Statistical Features

论文配图:Amortized Neural Clustering of Time Series based on Statistical Features
图 1 · 摘自论文原文
  • 通过训练神经网络拟合模拟数据中的最优聚类划分规则。
  • 在复杂场景下聚类准确率优于或媲美传统方法,即使给真聚类数也胜出。
  • 可自动确定聚类数量,适合金融等领域的自动化时序分析。

本文提出一种基于统计特征的、与算法无关的时间序列聚类方法,通过神经网络近似模拟数据中的最优划分规则,降低对K-means、K-medoids或层次聚类等传统方法及其目标函数和启发式策略的依赖。利用自相关、分位数自相关等统计特征,该方法从数据中学习到一个数据驱动的相似性结构,从而恢复聚类分区,无需预先指定聚类形状或结构。其中一种版本可自动确定聚类数量,避免了人为设定过程。大量实证研究显示,该框架在挑战性场景下聚类精度达到或超过传统方法,甚至在已知真实聚类数的情况下仍表现更优。在股票收益率金融时间序列上的应用展示了其实际效用。该方法减少了算法选择与调参需求,为科学与工业领域的时间序列自动、自适应、数据驱动聚类提供了新可能。

原文摘要 · Abstract (English)

This paper introduces an algorithm-agnostic approach to feature-based time series clustering via amortized neural inference. By training neural networks to approximate the optimal partitioning rule from simulated data, the proposed framework reduces reliance on conventional clustering methods, such as $K$-means, $K$-medoids, or hierarchical clustering, and their associated objective functions and heuristics. Leveraging statistical features, such as autocorrelations and quantile autocorrelations, the approach learns a data-driven affinity structure from which clustering partitions can be recovered, without requiring explicit prior specification of cluster shapes or structures. In addition, one version of the method can automatically determine the number of clusters, avoiding ad-hoc selection procedures. Comprehensive empirical studies show that the proposed framework achieves competitive or superior clustering accuracy relative to traditional methods, even in challenging scenarios where competing techniques are provided with the true number of clusters. An application to financial time series of stock returns illustrates its practical utility. By reducing the need for algorithm selection and calibration, the proposed framework opens new possibilities for automated, adaptive, and data-driven clustering of temporal data across scientific and industrial domains.

时间序列聚类神经网络

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