Conformal Prediction in Hierarchical Classification
- URL: http://arxiv.org/abs/2501.19038v1
- Date: Fri, 31 Jan 2025 11:10:19 GMT
- Title: Conformal Prediction in Hierarchical Classification
- Authors: Thomas Mortier, Alireza Javanmardi, Yusuf Sale, Eyke Hüllermeier, Willem Waegeman,
- Abstract summary: We extend the split conformal prediction framework to hierarchical classification, where prediction sets are commonly restricted to internal nodes of a predefined hierarchy.
The first algorithm returns internal nodes as prediction sets, while the second relaxes this restriction, using the notion of complexity.
Empirical evaluations on several benchmark datasets demonstrate the effectiveness of the proposed algorithms.
- Score: 18.730305100193927
- License:
- Abstract: Conformal prediction has emerged as a widely used framework for constructing valid prediction sets in classification and regression tasks. In this work, we extend the split conformal prediction framework to hierarchical classification, where prediction sets are commonly restricted to internal nodes of a predefined hierarchy, and propose two computationally efficient inference algorithms. The first algorithm returns internal nodes as prediction sets, while the second relaxes this restriction, using the notion of representation complexity, yielding a more general and combinatorial inference problem, but smaller set sizes. Empirical evaluations on several benchmark datasets demonstrate the effectiveness of the proposed algorithms in achieving nominal coverage.
Related papers
- Conformal Structured Prediction [32.23920437534215]
We propose a general framework for conformal prediction in the structured prediction setting.
We show how our algorithm can be used to construct prediction sets that satisfy a desired coverage guarantee in several domains.
arXiv Detail & Related papers (2024-10-08T18:56:15Z) - Weighted Aggregation of Conformity Scores for Classification [9.559062601251464]
Conformal prediction is a powerful framework for constructing prediction sets with valid coverage guarantees.
We propose a novel approach that combines multiple score functions to improve the performance of conformal predictors.
arXiv Detail & Related papers (2024-07-14T14:58:03Z) - Distribution-free Conformal Prediction for Ordinal Classification [0.0]
Ordinal classification is common in real applications where the target variable has natural ordering among the class labels.
New conformal prediction methods are developed for constructing contiguous and non-contiguous prediction sets.
arXiv Detail & Related papers (2024-04-25T13:49:59Z) - Conformal prediction set for time-series [16.38369532102931]
Uncertainty quantification is essential to studying complex machine learning methods.
We develop Ensemble Regularized Adaptive Prediction Set (ERAPS) to construct prediction sets for time-series.
We show valid marginal and conditional coverage by ERAPS, which also tends to yield smaller prediction sets than competing methods.
arXiv Detail & Related papers (2022-06-15T23:48:53Z) - Set-valued prediction in hierarchical classification with constrained
representation complexity [4.258263831866309]
We focus on hierarchical multi-class classification problems, where valid sets correspond to internal nodes of the hierarchy.
We propose three methods and evaluate them on benchmark datasets.
arXiv Detail & Related papers (2022-03-13T15:13:19Z) - Efficient and Differentiable Conformal Prediction with General Function
Classes [96.74055810115456]
We propose a generalization of conformal prediction to multiple learnable parameters.
We show that it achieves approximate valid population coverage and near-optimal efficiency within class.
Experiments show that our algorithm is able to learn valid prediction sets and improve the efficiency significantly.
arXiv Detail & Related papers (2022-02-22T18:37:23Z) - Riemannian classification of EEG signals with missing values [67.90148548467762]
This paper proposes two strategies to handle missing data for the classification of electroencephalograms.
The first approach estimates the covariance from imputed data with the $k$-nearest neighbors algorithm; the second relies on the observed data by leveraging the observed-data likelihood within an expectation-maximization algorithm.
As results show, the proposed strategies perform better than the classification based on observed data and allow to keep a high accuracy even when the missing data ratio increases.
arXiv Detail & Related papers (2021-10-19T14:24:50Z) - Estimating leverage scores via rank revealing methods and randomization [50.591267188664666]
We study algorithms for estimating the statistical leverage scores of rectangular dense or sparse matrices of arbitrary rank.
Our approach is based on combining rank revealing methods with compositions of dense and sparse randomized dimensionality reduction transforms.
arXiv Detail & Related papers (2021-05-23T19:21:55Z) - Combining Task Predictors via Enhancing Joint Predictability [53.46348489300652]
We present a new predictor combination algorithm that improves the target by i) measuring the relevance of references based on their capabilities in predicting the target, and ii) strengthening such estimated relevance.
Our algorithm jointly assesses the relevance of all references by adopting a Bayesian framework.
Based on experiments on seven real-world datasets from visual attribute ranking and multi-class classification scenarios, we demonstrate that our algorithm offers a significant performance gain and broadens the application range of existing predictor combination approaches.
arXiv Detail & Related papers (2020-07-15T21:58:39Z) - A General Method for Robust Learning from Batches [56.59844655107251]
We consider a general framework of robust learning from batches, and determine the limits of both classification and distribution estimation over arbitrary, including continuous, domains.
We derive the first robust computationally-efficient learning algorithms for piecewise-interval classification, and for piecewise-polynomial, monotone, log-concave, and gaussian-mixture distribution estimation.
arXiv Detail & Related papers (2020-02-25T18:53:25Z) - A General Framework for Consistent Structured Prediction with Implicit
Loss Embeddings [113.15416137912399]
We propose and analyze a novel theoretical and algorithmic framework for structured prediction.
We study a large class of loss functions that implicitly defines a suitable geometry on the problem.
When dealing with output spaces with infinite cardinality, a suitable implicit formulation of the estimator is shown to be crucial.
arXiv Detail & Related papers (2020-02-13T10:30:04Z)
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.