Applying Regression Conformal Prediction with Nearest Neighbors to time
series data
- URL: http://arxiv.org/abs/2110.13031v1
- Date: Mon, 25 Oct 2021 15:11:32 GMT
- Title: Applying Regression Conformal Prediction with Nearest Neighbors to time
series data
- Authors: Samya Tajmouati, Bouazza El Wahbi and Mohammed Dakkoun
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In this paper, we apply conformal prediction to time series data. Conformal
prediction isa method that produces predictive regions given a confidence
level. The regions outputs arealways valid under the exchangeability
assumption. However, this assumption does not holdfor the time series data
because there is a link among past, current, and future
observations.Consequently, the challenge of applying conformal predictors to
the problem of time seriesdata lies in the fact that observations of a time
series are dependent and therefore do notmeet the exchangeability assumption.
This paper aims to present a way of constructingreliable prediction intervals
by using conformal predictors in the context of time series. Weuse the nearest
neighbors method based on the fast parameters tuning technique in theweighted
nearest neighbors (FPTO-WNN) approach as the underlying algorithm. Dataanalysis
demonstrates the effectiveness of the proposed approach.
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) - Distribution-informed Online Conformal Prediction [53.674678995825666]
We propose Conformal Optimistic Prediction (COP), an online conformal prediction algorithm incorporating underlying data pattern into the update rule.<n>COP produces tighter prediction sets when predictable pattern exists, while retaining valid coverage guarantees even when estimates are inaccurate.<n>We prove that COP can achieve valid coverage and construct shorter prediction intervals than other baselines.
arXiv Detail & Related papers (2025-12-08T17:51:49Z) - DistDF: Time-Series Forecasting Needs Joint-Distribution Wasserstein Alignment [92.70019102733453]
Training time-series forecast models requires aligning the conditional distribution of model forecasts with that of the label sequence.<n>We propose DistDF, which achieves alignment by alternatively minimizing a discrepancy between the conditional forecast and label distributions.
arXiv Detail & Related papers (2025-10-28T16:09:59Z) - Predictive inference for time series: why is split conformal effective despite temporal dependence? [8.032656343027146]
Conformal prediction methods provide distribution-free coverage for any iid or exchangeable data distribution.<n>Using predictors with "memory" -- i.e., predictors that utilize past observations, such as autoregressive models -- further exacerbates this problem.<n>Our results bound the loss of coverage of these methods in terms of a new "switch coefficient", measuring the extent to which temporal dependence within the time series creates violations of exchangeability.
arXiv Detail & Related papers (2025-10-02T18:24:04Z) - Rethinking Remaining Useful Life Prediction with Scarce Time Series Data: Regression under Indirect Supervision [4.335413713700667]
We introduce a unified framework called parameterized static regression, which takes single points as inputs for regression of target values.
Our method demonstrates competitive performance in prediction accuracy when dealing with highly scarce time series data.
arXiv Detail & Related papers (2025-04-12T13:14:35Z) - Relational Conformal Prediction for Correlated Time Series [56.59852921638328]
We propose a novel distribution-free approach based on conformal prediction framework and quantile regression.
We fill this void by introducing a novel conformal prediction method based on graph deep learning operators.
Our approach provides accurate coverage and archives state-of-the-art uncertainty quantification in relevant benchmarks.
arXiv Detail & Related papers (2025-02-13T16:12:17Z) - Distribution-Free Conformal Joint Prediction Regions for Neural Marked Temporal Point Processes [4.324839843326325]
We develop more reliable methods for uncertainty in neural TPP models via the framework of conformal prediction.
A primary objective is to generate a distribution-free joint prediction region for an event's arrival time and mark, with a finite-sample marginal coverage guarantee.
arXiv Detail & Related papers (2024-01-09T15:28:29Z) - When Rigidity Hurts: Soft Consistency Regularization for Probabilistic
Hierarchical Time Series Forecasting [69.30930115236228]
Probabilistic hierarchical time-series forecasting is an important variant of time-series forecasting.
Most methods focus on point predictions and do not provide well-calibrated probabilistic forecasts distributions.
We propose PROFHiT, a fully probabilistic hierarchical forecasting model that jointly models forecast distribution of entire hierarchy.
arXiv Detail & Related papers (2023-10-17T20:30:16Z) - Conditional validity of heteroskedastic conformal regression [12.905195278168506]
Conformal prediction and split conformal prediction offer a distribution-free approach to estimating prediction intervals with statistical guarantees.
Recent work has shown that split conformal prediction can produce state-of-the-art prediction intervals when focusing on marginal coverage.
This paper tries to shed new light on how prediction intervals can be constructed, using methods such as normalized and Mondrian conformal prediction.
arXiv Detail & Related papers (2023-09-15T11:10:46Z) - Exogenous Data in Forecasting: FARM -- A New Measure for Relevance
Evaluation [62.997667081978825]
We introduce a new approach named FARM - Forward Relevance Aligned Metric.
Our forward method relies on an angular measure that compares changes in subsequent data points to align time-warped series.
As a first validation step, we present the application of our FARM approach to synthetic but representative signals.
arXiv Detail & Related papers (2023-04-21T15:22:33Z) - Sequential Predictive Conformal Inference for Time Series [16.38369532102931]
We present a new distribution-free conformal prediction algorithm for sequential data (e.g., time series)
We specifically account for the nature that time series data are non-exchangeable, and thus many existing conformal prediction algorithms are not applicable.
arXiv Detail & Related papers (2022-12-07T05:07:27Z) - Predictive Inference with Feature Conformal Prediction [80.77443423828315]
We propose feature conformal prediction, which extends the scope of conformal prediction to semantic feature spaces.
From a theoretical perspective, we demonstrate that feature conformal prediction provably outperforms regular conformal prediction under mild assumptions.
Our approach could be combined with not only vanilla conformal prediction, but also other adaptive conformal prediction methods.
arXiv Detail & Related papers (2022-10-01T02:57:37Z) - When Rigidity Hurts: Soft Consistency Regularization for Probabilistic
Hierarchical Time Series Forecasting [69.30930115236228]
Probabilistic hierarchical time-series forecasting is an important variant of time-series forecasting.
Most methods focus on point predictions and do not provide well-calibrated probabilistic forecasts distributions.
We propose PROFHiT, a fully probabilistic hierarchical forecasting model that jointly models forecast distribution of entire hierarchy.
arXiv Detail & Related papers (2022-06-16T06:13:53Z) - 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) - CovarianceNet: Conditional Generative Model for Correct Covariance
Prediction in Human Motion Prediction [71.31516599226606]
We present a new method to correctly predict the uncertainty associated with the predicted distribution of future trajectories.
Our approach, CovariaceNet, is based on a Conditional Generative Model with Gaussian latent variables.
arXiv Detail & Related papers (2021-09-07T09:38:24Z) - Adaptive Conformal Inference Under Distribution Shift [0.0]
We develop methods for forming prediction sets in an online setting where the data generating distribution is allowed to vary over time in an unknown fashion.
Our framework builds on ideas from conformal inference to provide a general wrapper that can be combined with any black box method.
We test our method, adaptive conformal inference, on two real world datasets and find that its predictions are robust to visible and significant distribution shifts.
arXiv Detail & Related papers (2021-06-01T01:37:32Z) - Conformal prediction for time series [16.38369532102931]
textttEnbPI wraps around ensemble predictors, which is closely related to conformal prediction (CP) but does not require data exchangeability.
We perform extensive simulation and real-data analyses to demonstrate its effectiveness compared with existing methods.
arXiv Detail & Related papers (2020-10-18T21:05:32Z)
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.