Conformal Prediction for Time-series Forecasting with Change Points
- URL: http://arxiv.org/abs/2509.02844v3
- Date: Thu, 23 Oct 2025 07:33:29 GMT
- Title: Conformal Prediction for Time-series Forecasting with Change Points
- Authors: Sophia Sun, Rose Yu,
- Abstract summary: We propose a novel Conformal Prediction for Time-series with Change points (CPTC) algorithm.<n>We prove CPTC's validity and improved adaptivity in the time series setting under minimum assumptions.
- Score: 26.947702126448203
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Conformal prediction has been explored as a general and efficient way to provide uncertainty quantification for time series. However, current methods struggle to handle time series data with change points - sudden shifts in the underlying data-generating process. In this paper, we propose a novel Conformal Prediction for Time-series with Change points (CPTC) algorithm, addressing this gap by integrating a model to predict the underlying state with online conformal prediction to model uncertainties in non-stationary time series. We prove CPTC's validity and improved adaptivity in the time series setting under minimum assumptions, and demonstrate CPTC's practical effectiveness on 6 synthetic and real-world datasets, showing improved validity and adaptivity compared to state-of-the-art baselines.
Related papers
- Time-uniform conformal and PAC prediction [0.8021197489470758]
We develop an extension of the conformal prediction and related probably approximately correct (PAC) prediction frameworks to sequential settings.<n>The resulting prediction sets are anytime-valid in that their expected coverage is at the required level at any time chosen by the analyst.<n>We present theoretical guarantees for our proposed methods and demonstrate their validity and utility on simulated and real datasets.
arXiv Detail & Related papers (2026-02-06T01:41:10Z) - Conformal Prediction Algorithms for Time Series Forecasting: Methods and Benchmarking [0.0]
Time series temporal dependencies violate the core assumption of data exchangeability.<n>This paper critically examines the main categories of algorithmic solutions designed to address this conflict.<n>We use AutoARIMA as the base forecaster on a large-scale monthly sales dataset.
arXiv Detail & Related papers (2026-01-26T14:15:08Z) - A Unified Frequency Domain Decomposition Framework for Interpretable and Robust Time Series Forecasting [81.73338008264115]
Current approaches for time series forecasting, whether in the time or frequency domain, predominantly use deep learning models based on linear layers or transformers.<n>We propose FIRE, a unified frequency domain decomposition framework that provides a mathematical abstraction for diverse types of time series.<n>Fire consistently outperforms state-of-the-art models on long-term forecasting benchmarks.
arXiv Detail & Related papers (2025-10-11T09:59:25Z) - ResCP: Reservoir Conformal Prediction for Time Series Forecasting [39.81023599249223]
Conformal prediction offers a powerful framework for building distribution-free prediction intervals for exchangeable data.<n>We propose Reservoir Conformal Prediction (ResCP), a novel training-free conformal prediction method for time series.
arXiv Detail & Related papers (2025-10-06T17:37:44Z) - BayesTTA: Continual-Temporal Test-Time Adaptation for Vision-Language Models via Gaussian Discriminant Analysis [41.09181390655176]
Vision-language models (VLMs) such as CLIP achieve strong zero-shot recognition but degrade significantly under textittemporally evolving distribution shifts common in real-world scenarios.<n>We formalize this practical problem as textitContinual-Temporal Test-Time Adaptation (CT-TTA), where test distributions evolve gradually over time.<n>We propose textitBayesTTA, a Bayesian adaptation framework that enforces temporally consistent predictions and dynamically aligns visual representations.
arXiv Detail & Related papers (2025-07-11T14:02:54Z) - Relational Conformal Prediction for Correlated Time Series [56.59852921638328]
We address the problem of uncertainty quantification in time series by exploiting correlated sequences.<n>We propose a novel distribution-free approach based on conformal prediction framework and quantile regression.<n>Our approach provides accurate coverage and achieves state-of-the-art uncertainty quantification in relevant benchmarks.
arXiv Detail & Related papers (2025-02-13T16:12:17Z) - Error-quantified Conformal Inference for Time Series [55.11926160774831]
Uncertainty quantification in time series prediction is challenging due to the temporal dependence and distribution shift on sequential data.<n>We propose itError-quantified Conformal Inference (ECI) by smoothing the quantile loss function.<n>ECI can achieve valid miscoverage control and output tighter prediction sets than other baselines.
arXiv Detail & Related papers (2025-02-02T15:02:36Z) - Adaptive Conformal Inference by Betting [51.272991377903274]
We consider the problem of adaptive conformal inference without any assumptions about the data generating process.<n>Existing approaches for adaptive conformal inference are based on optimizing the pinball loss using variants of online gradient descent.<n>We propose a different approach for adaptive conformal inference that leverages parameter-free online convex optimization techniques.
arXiv Detail & Related papers (2024-12-26T18:42:08Z) - Stock Volume Forecasting with Advanced Information by Conditional Variational Auto-Encoder [49.97673761305336]
We demonstrate the use of Conditional Variational (CVAE) to improve the forecasts of daily stock volume time series in both short and long term forecasting tasks.
CVAE generates non-linear time series as out-of-sample forecasts, which have better accuracy and closer fit of correlation to the actual data.
arXiv Detail & Related papers (2024-06-19T13:13:06Z) - Calibration of Time-Series Forecasting: Detecting and Adapting Context-Driven Distribution Shift [28.73747033245012]
We introduce a universal calibration methodology for the detection and adaptation of context-driven distribution shifts.
A novel CDS detector, termed the "residual-based CDS detector" or "Reconditionor", quantifies the model's vulnerability to CDS.
A high Reconditionor score indicates a severe susceptibility, thereby necessitating model adaptation.
arXiv Detail & Related papers (2023-10-23T11:58:01Z) - Conformal PID Control for Time Series Prediction [10.992151305603265]
We study the problem of uncertainty quantification for time series prediction.
We present algorithms that prospectively model conformal scores in an online setting.
We also run experiments on predicting electricity demand, market returns, and temperature.
arXiv Detail & Related papers (2023-07-31T17:59:16Z) - Adaptive Conformal Predictions for Time Series [0.0]
We argue that Adaptive Conformal Inference (ACI) is a good procedure for time series with general dependency.
We propose a parameter-free method, AgACI, that adaptively builds upon ACI based on online expert aggregation.
We conduct a real case study: electricity price forecasting.
arXiv Detail & Related papers (2022-02-15T09:57:01Z) - TACTiS: Transformer-Attentional Copulas for Time Series [76.71406465526454]
estimation of time-varying quantities is a fundamental component of decision making in fields such as healthcare and finance.
We propose a versatile method that estimates joint distributions using an attention-based decoder.
We show that our model produces state-of-the-art predictions on several real-world datasets.
arXiv Detail & Related papers (2022-02-07T21:37:29Z) - Applying Regression Conformal Prediction with Nearest Neighbors to time
series data [0.0]
This paper presents a way of constructingreliable prediction intervals by using conformal predictors in the context of time series data.
We use the nearest neighbors method based on the fast parameters tuning technique in the nearest neighbors (FPTO-WNN) approach as the underlying algorithm.
arXiv Detail & Related papers (2021-10-25T15:11:32Z) - Evaluating Prediction-Time Batch Normalization for Robustness under
Covariate Shift [81.74795324629712]
We call prediction-time batch normalization, which significantly improves model accuracy and calibration under covariate shift.
We show that prediction-time batch normalization provides complementary benefits to existing state-of-the-art approaches for improving robustness.
The method has mixed results when used alongside pre-training, and does not seem to perform as well under more natural types of dataset shift.
arXiv Detail & Related papers (2020-06-19T05:08:43Z)
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.