Identifying and Forecasting Recurrently Emerging Stock Trend Structures via Rising Visibility Graphs

This study introduces a novel forecasting framework that identifies and predicts recurrently emerging structural patterns in stock trends using rising visibility graphs (RVGs) and the Weisfeiler–Lehman (WL) subtree kernel. The proposed method, RVGWL, addresses a key limitation of traditional visibil...

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Main Authors: Zhen Zeng, Yu Chen
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Forecasting
Subjects:
Online Access:https://www.mdpi.com/2571-9394/7/2/26
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author Zhen Zeng
Yu Chen
author_facet Zhen Zeng
Yu Chen
author_sort Zhen Zeng
collection DOAJ
description This study introduces a novel forecasting framework that identifies and predicts recurrently emerging structural patterns in stock trends using rising visibility graphs (RVGs) and the Weisfeiler–Lehman (WL) subtree kernel. The proposed method, RVGWL, addresses a key limitation of traditional visibility graphs, namely the structural indistinguishability between rising and falling trends, by selectively constructing edges only along upward price movements. This approach produces graph representations that capture direction-sensitive market dynamics and facilitate the extraction of meaningful topological features from price data. By applying the WL kernel, RVGWL quantifies structural similarities between graph-transformed time series, enabling the identification of structurally similar preceding patterns and the probabilistic forecasting of their subsequent trajectories based on nine canonical trend templates. Experiments on time series data from four major stock indices and their constituent stocks during the year 2023—characterized by diverse market regimes across the U.S., Japan, the U.K., and China—demonstrate that RVGWL consistently outperforms classical rule-based strategies. These results support the predictive value of recurring topological structures in financial time series and higight the potential of structure-aware forecasting methods in quantitative analysis.
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spelling doaj-art-74c36e0a8db149c19faa60d13036f4b22025-08-20T03:24:36ZengMDPI AGForecasting2571-93942025-06-01722610.3390/forecast7020026Identifying and Forecasting Recurrently Emerging Stock Trend Structures via Rising Visibility GraphsZhen Zeng0Yu Chen1Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba 277-8563, JapanGraduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa-shi, Chiba 277-8563, JapanThis study introduces a novel forecasting framework that identifies and predicts recurrently emerging structural patterns in stock trends using rising visibility graphs (RVGs) and the Weisfeiler–Lehman (WL) subtree kernel. The proposed method, RVGWL, addresses a key limitation of traditional visibility graphs, namely the structural indistinguishability between rising and falling trends, by selectively constructing edges only along upward price movements. This approach produces graph representations that capture direction-sensitive market dynamics and facilitate the extraction of meaningful topological features from price data. By applying the WL kernel, RVGWL quantifies structural similarities between graph-transformed time series, enabling the identification of structurally similar preceding patterns and the probabilistic forecasting of their subsequent trajectories based on nine canonical trend templates. Experiments on time series data from four major stock indices and their constituent stocks during the year 2023—characterized by diverse market regimes across the U.S., Japan, the U.K., and China—demonstrate that RVGWL consistently outperforms classical rule-based strategies. These results support the predictive value of recurring topological structures in financial time series and higight the potential of structure-aware forecasting methods in quantitative analysis.https://www.mdpi.com/2571-9394/7/2/26trend forecastingcomplex networkgraph kernelquantitative tradingVisibility Graph
spellingShingle Zhen Zeng
Yu Chen
Identifying and Forecasting Recurrently Emerging Stock Trend Structures via Rising Visibility Graphs
Forecasting
trend forecasting
complex network
graph kernel
quantitative trading
Visibility Graph
title Identifying and Forecasting Recurrently Emerging Stock Trend Structures via Rising Visibility Graphs
title_full Identifying and Forecasting Recurrently Emerging Stock Trend Structures via Rising Visibility Graphs
title_fullStr Identifying and Forecasting Recurrently Emerging Stock Trend Structures via Rising Visibility Graphs
title_full_unstemmed Identifying and Forecasting Recurrently Emerging Stock Trend Structures via Rising Visibility Graphs
title_short Identifying and Forecasting Recurrently Emerging Stock Trend Structures via Rising Visibility Graphs
title_sort identifying and forecasting recurrently emerging stock trend structures via rising visibility graphs
topic trend forecasting
complex network
graph kernel
quantitative trading
Visibility Graph
url https://www.mdpi.com/2571-9394/7/2/26
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