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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

169,051 papers · 148 categories

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118236354472 · Jun 202019922001200920182026
48 results for class-prior estimation

Unified approach to estimating class-prior and classifier from PU data.

problem Learning binary classifier from positive and unlabeled data with class-prior estimation.
method Alternately estimating class-prior and training classifier.
result Unified approach improves classifier performance by accounting for class-prior estimation error.

Paper generalizes PU classification for class prior shift and asymmetric error scenarios.

problem Bottlenecks in binary classification from PU data due to test marginal distribution and equal error penalties.
method Analysis of Bayes optimal classifier, risk minimization framework, and density ratio estimation framework.
result PU classification under class prior shift is equivalent to PU classification with asymmetric error.

We consider the problem of estimating the class prior in an unlabeled dataset. Under the assumption that an additional labeled dataset is available, the class prior can be estimated by fitting a mixture of class-wise data distributions to the unlabeled data distribution. However, in practice, such an additional labeled…

2016-11-05abs ↗pdf ↗

Estimates class prior for unlabeled data using kernel embedding.

problem Estimating class prior in PU learning scenario where only positive and full population samples are available.
method Direct estimator based on distribution matching and kernel embedding in Reproducing Kernel Hilbert Space.
result Asymptotic consistency and explicit deviation bound for the estimator.

The problem of developing binary classifiers from positive and unlabeled data is often encountered in machine learning. A common requirement in this setting is to approximate posterior probabilities of positive and negative classes for a previously unseen data point. This problem can be decomposed into two steps: (i) t…

2016-01-08abs ↗pdf ↗

A new method ReCPE removes the need for a distributional assumption in PU learning.

problem Training binary classifiers with only positive and unlabeled data without negative data.
method Regrouping CPE (ReCPE) that constructs an auxiliary distribution to ensure positive data support is never in negative data support.
result ReCPE improves all state-of-the-art CPE methods on various datasets, indicating the need for the distributional assumption.

Work in the classification literature has shown that in computing a classification function, one need not know the class membership of all observations in the training set; the unlabeled observations still provide information on the marginal distribution of the feature set, and can thus contribute to increased classifi…

2015-10-06abs ↗pdf ↗

A common approach in positive-unlabeled learning is to train a classification model between labeled and unlabeled data. This strategy is in fact known to give an optimal classifier under mild conditions; however, it results in biased empirical estimates of the classifier performance. In this work, we show that the typi…

2017-02-02abs ↗pdf ↗

Paper tackles training binary classifiers from unlabeled data with minimal supervision.

problem Training arbitrary binary classifiers from only unlabeled data is impossible without supervision.
method Proposes an ERM-based learning method from two sets of unlabeled data with different class priors.
result The proposed method is consistent and outperforms state-of-the-art methods.

Bayesian framework estimates label shift for improved classifier performance.

problem Label shift in supervised learning leading to degraded classifier performance.
method Bayesian framework with dynamic Dirichlet priors and online EM algorithms.
result Significant improvements in classifier accuracy over state-of-the-art methods.

We introduce Fisher consistency in the sense of unbiasedness as a desirable property for estimators of class prior probabilities. Lack of Fisher consistency could be used as a criterion to dismiss estimators that are unlikely to deliver precise estimates in test datasets under prior probability and more general dataset…

2017-01-19abs ↗pdf ↗

The paper proposes a method to calibrate metrics for better interpretability and fairness in machine learning models.

problem Machine learning metrics are biased by class priors and vary across subpopulations.
method Calibration of precision-based metrics (F1-score, AUC-PR) to make them invariant to class priors.
result Calibrated metrics improve interpretability and provide better control over model performance.

GS-B3^3SE improves label shift estimation by smoothing priors on a graph.

problem Label shift adaptation when source and target distributions share conditional but not marginal probabilities.
method Graph-Smoothed Bayesian Black-Box Shift Estimator (GS-B3^3SE) places Laplacian-Gaussian priors on log-priors and confusion-matrix columns tied by a label-similarity graph.
result GS-B3^3SE produces a tractable posterior with HMC or Newton-CG schemes, proving identifiability, contraction, and robustness.

Novel semi-supervised method for X-ray classification with minimal labels.

problem Classifying X-ray data with limited labeled data.
method Graph-based semi-supervised learning with carefully selected class priors.
result Competitive results on ChestX-ray14 data set with reduced need for annotated data.

TPM improves medical image segmentation by separating foreground and background.

problem Few-shot medical image segmentation challenges due to background variability.
method Tied Prototype Model (TPM) focusing on foreground, adapting thresholds, and using class priors.
result TPM leads to improved segmentation accuracy compared to ADNet.

Mitigates overfitting in UU classification from two unlabeled datasets.

problem Overfitting in the UU classification method.
method Wrapping negative empirical risk terms with correction functions and proving consistency.
result Successfully mitigates overfitting and improves classification accuracy.

Extends FJS analysis to general label spaces, including classification and regression.

problem Distribution shift in general label spaces, including covariate and label shifts.
method Proposes a framework for analyzing FJS in general label spaces and generalizes existing results.
result Generalizes FJS analysis to general label spaces, including classification and regression.

This paper tackles domain generalization by learning invariant class conditional distributions.

problem Learning invariant representations across different domains with varying distributions.
method Proposes a conditional invariant representation to ensure invariance of class conditional distributions.
result Guarantees invariance of the joint distribution P(h(X),Y)\mathbb{P}(h(X),Y) if class prior P(Y)\mathbb{P}(Y) remains invariant.

Study investigates how neural networks perform with mislabeled data.

problem Understanding and mitigating the effects of mislabeled training data on neural network performance.
method Analysis of model equations and use of Maximum Likelihood (ML) estimate to infer clean model parameters.
result ML estimate of noisy model parameters determines clean model parameters, leading to a classifier adjustment method.

Paper proposes a reinforcement learning approach to learn classifiers from positive and unlabeled data.

problem Learning binary classifiers from positive and unlabeled data without prior class prior or label noise estimation.
method Alternately trains a policy network and a classifier using reinforcement learning, adapting label assumptions for unlabeled data.
result Significant improvement in classification performance compared to existing methods.

This work bounds classification error in machine learning for low Bayes error conditions.

problem Understanding the error mismatch between Bayes error and model-based classification error.
method Applying classification error bounds to study the relationship with Kullback-Leibler divergence and proposing a linear approximation for low Bayes error conditions.
result A linear approximation of the classification error bound for low Bayes error conditions is proposed.

This paper improves multi-class calibration methods using mutual information maximization-based binning.

problem Calibration of deep neural network predictions, especially for small prior classes.
method I-Max concept for binning, shared class-wise calibration strategy.
result Improves multi-class ranking and calibration performance using a small calibration set.

Paper introduces a variational approach for PU learning with improved performance and stability.

problem Learning binary classifiers from only positive and unlabeled data.
method Variational principle for PU learning, quantitatively evaluating modeling error, efficient loss function, margin maximizing loss function.
result Improved discriminative performance and numerical stability of the variational PU learning method.

Proposes a method to classify binary data from multiple unlabeled datasets.

problem High annotation costs in training classifiers from weakly supervised data.
method Introduces surrogate set classification (SSC) to predict data origin from multiple unlabeled datasets, then uses this to train a binary classifier.
result Demonstrates superior performance compared to existing methods.

Paper analyzes multiclass classification with high-dimensional data.

problem Understanding statistical properties and behavior of multiclass classification algorithms.
method Asymptotic analysis of linear multiclass classification.
result Test error varies significantly across different training algorithms and data distributions.

A new algorithm improves efficiency for semi-supervised AUC optimization.

problem Optimizing AUC in semi-supervised learning with limited labeled data.
method Quadruply Stochastic Gradients (QSG-S2AUC) for nonlinear classification problems.
result QSG-S2AUC converges to optimal solution in O(1/t) iterations.

New estimators outperform maximum likelihood without hyper-parameter estimation.

problem Improving system identification performance without hyper-parameter estimation.
method Developed generalized Bayes and closed-form biased estimators using excess MSE.
result New estimators have comparable performance to empirical-Bayes-based regularized estimator.