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Bibliographic Details
Main Authors: Kong, Linghao, Hong, Xiaopeng
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.23260
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author Kong, Linghao
Hong, Xiaopeng
author_facet Kong, Linghao
Hong, Xiaopeng
contents Deep neural network-based time series prediction models have recently demonstrated superior capabilities in capturing complex temporal dependencies. However, it is challenging for these models to account for uncertainty associated with their predictions, because they directly output scalar values at each time step. To address such a challenge, we propose a novel model named interleaved dual-branch Probability Distribution Network (interPDN), which directly constructs discrete probability distributions per step instead of a scalar. The regression output at each time step is derived by computing the expectation of the predictive distribution on a predefined support set. To mitigate prediction anomalies, a dual-branch architecture is introduced with interleaved support sets, augmented by coarse temporal-scale branches for long-term trend forecasting. Outputs from another branch are treated as auxiliary signals to impose self-supervised consistency constraints on the current branch's prediction. Extensive experiments on multiple real-world datasets demonstrate the superior performance of interPDN.
format Preprint
id arxiv_https___arxiv_org_abs_2511_23260
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Time Series Forecasting via Direct Per-Step Probability Distribution Modeling
Kong, Linghao
Hong, Xiaopeng
Machine Learning
Artificial Intelligence
Deep neural network-based time series prediction models have recently demonstrated superior capabilities in capturing complex temporal dependencies. However, it is challenging for these models to account for uncertainty associated with their predictions, because they directly output scalar values at each time step. To address such a challenge, we propose a novel model named interleaved dual-branch Probability Distribution Network (interPDN), which directly constructs discrete probability distributions per step instead of a scalar. The regression output at each time step is derived by computing the expectation of the predictive distribution on a predefined support set. To mitigate prediction anomalies, a dual-branch architecture is introduced with interleaved support sets, augmented by coarse temporal-scale branches for long-term trend forecasting. Outputs from another branch are treated as auxiliary signals to impose self-supervised consistency constraints on the current branch's prediction. Extensive experiments on multiple real-world datasets demonstrate the superior performance of interPDN.
title Time Series Forecasting via Direct Per-Step Probability Distribution Modeling
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2511.23260