Informativeness of Weighted Conformal Prediction
- URL: http://arxiv.org/abs/2405.06479v3
- Date: Sun, 20 Oct 2024 02:18:43 GMT
- Title: Informativeness of Weighted Conformal Prediction
- Authors: Mufang Ying, Wenge Guo, Koulik Khamaru, Ying Hung,
- Abstract summary: We propose two methods to enhance the informativeness of weighted conformal prediction.
We establish theoretical guarantees for our proposed methods and demonstrate their efficacy through simulations.
- Score: 3.1717575440579617
- License:
- Abstract: Weighted conformal prediction (WCP), a recently proposed framework, provides uncertainty quantification with the flexibility to accommodate different covariate distributions between training and test data. However, it is pointed out in this paper that the effectiveness of WCP heavily relies on the overlap between covariate distributions; insufficient overlap can lead to uninformative prediction intervals. To enhance the informativeness of WCP, we propose two methods for scenarios involving multiple sources with varied covariate distributions. We establish theoretical guarantees for our proposed methods and demonstrate their efficacy through simulations.
Related papers
- An Information Theoretic Perspective on Conformal Prediction [15.194199235970242]
Conformal Prediction (CP) constructs prediction sets guaranteed to contain the true answer with a user-specified probability.
In this work, we leverage information theory to connect conformal prediction to other notions of uncertainty.
arXiv Detail & Related papers (2024-05-03T14:43:07Z) - Conformal Predictive Systems Under Covariate Shift [2.9310590399782788]
Conformal Predictive Systems (CPS) offer a versatile framework for constructing predictive distributions.
We propose weighted CPS, akin to weighted Conformal Prediction (WCP)
We present theoretical underpinnings and conjectures regarding the validity and efficacy of WCPS.
arXiv Detail & Related papers (2024-04-23T13:23:27Z) - Uncertainty Quantification via Stable Distribution Propagation [60.065272548502]
We propose a new approach for propagating stable probability distributions through neural networks.
Our method is based on local linearization, which we show to be an optimal approximation in terms of total variation distance for the ReLU non-linearity.
arXiv Detail & Related papers (2024-02-13T09:40:19Z) - Efficient Conformal Prediction under Data Heterogeneity [79.35418041861327]
Conformal Prediction (CP) stands out as a robust framework for uncertainty quantification.
Existing approaches for tackling non-exchangeability lead to methods that are not computable beyond the simplest examples.
This work introduces a new efficient approach to CP that produces provably valid confidence sets for fairly general non-exchangeable data distributions.
arXiv Detail & Related papers (2023-12-25T20:02:51Z) - Invariant Probabilistic Prediction [45.90606906307022]
We show that arbitrary distribution shifts do not, in general, admit invariant and robust probabilistic predictions.
We propose a method to yield invariant probabilistic predictions, called IPP, and study the consistency of the underlying parameters.
arXiv Detail & Related papers (2023-09-18T18:50:24Z) - Quantification of Predictive Uncertainty via Inference-Time Sampling [57.749601811982096]
We propose a post-hoc sampling strategy for estimating predictive uncertainty accounting for data ambiguity.
The method can generate different plausible outputs for a given input and does not assume parametric forms of predictive distributions.
arXiv Detail & Related papers (2023-08-03T12:43:21Z) - Conformal Prediction for Federated Uncertainty Quantification Under
Label Shift [57.54977668978613]
Federated Learning (FL) is a machine learning framework where many clients collaboratively train models.
We develop a new conformal prediction method based on quantile regression and take into account privacy constraints.
arXiv Detail & Related papers (2023-06-08T11:54:58Z) - Probabilistic electric load forecasting through Bayesian Mixture Density
Networks [70.50488907591463]
Probabilistic load forecasting (PLF) is a key component in the extended tool-chain required for efficient management of smart energy grids.
We propose a novel PLF approach, framed on Bayesian Mixture Density Networks.
To achieve reliable and computationally scalable estimators of the posterior distributions, both Mean Field variational inference and deep ensembles are integrated.
arXiv Detail & Related papers (2020-12-23T16:21:34Z) - A One-step Approach to Covariate Shift Adaptation [82.01909503235385]
A default assumption in many machine learning scenarios is that the training and test samples are drawn from the same probability distribution.
We propose a novel one-step approach that jointly learns the predictive model and the associated weights in one optimization.
arXiv Detail & Related papers (2020-07-08T11:35:47Z)
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.