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Given a large pool of unlabelled data and a smaller amount of labels, prediction-powered inference (PPI) leverages machine learning predictions to increase the statistical efficiency of confidence interval procedures based solely on…

Machine Learning · Statistics 2025-10-27 Valentin Kilian , Stefano Cortinovis , François Caron

The demonstration and use of Bell-nonlocality, a concept that is fundamentally striking and is at the core of applications in device independent quantum information processing, relies heavily on the assumption of measurement independence,…

Quantum Physics · Physics 2016-05-13 Gilles Pütz , Nicolas Gisin

Estimating uncertainties associated with the predictions of Machine Learning (ML) models is of crucial importance to assess their robustness and predictive power. In this submission, we introduce MAPIE (Model Agnostic Prediction Interval…

Machine Learning · Statistics 2022-07-26 Vianney Taquet , Vincent Blot , Thomas Morzadec , Louis Lacombe , Nicolas Brunel

We develop a quantum version of the probability estimation framework [arXiv:1709.06159] for randomness generation with quantum side information. We show that most of the properties of probability estimation hold for quantum probability…

Quantum Physics · Physics 2023-02-06 Emanuel Knill , Yanbao Zhang , Honghao Fu

Pretext Invariant Representation Learning (PIRL) followed by Supervised Fine-Tuning (SFT) has become a standard paradigm for learning with limited labels. We extend this approach to the Positive Unlabeled (PU) setting, where only a small…

Machine Learning · Computer Science 2025-04-11 Anish Acharya , Li Jing , Bhargav Bhushanam , Dhruv Choudhary , Michael Rabbat , Sujay Sanghavi , Inderjit S Dhillon

We propose to use precise estimators of mutual information (MI) to find least dependent components in a linearly mixed signal. On the one hand this seems to lead to better blind source separation than with any other presently available…

Computational Physics · Physics 2007-07-16 Harald Stögbauer , Alexander Kraskov , Sergey A. Astakhov , Peter Grassberger

Conditional mean independence (CMI) testing is crucial for statistical tasks including model determination and variable importance evaluation. In this work, we introduce a novel population CMI measure and a bootstrap-based testing procedure…

Machine Learning · Statistics 2025-01-30 Yi Zhang , Linjun Huang , Yun Yang , Xiaofeng Shao

We study inference with a small labeled sample, a large unlabeled sample, and high-quality predictions from an external model. We link prediction-powered inference with empirical likelihood by stacking supervised estimating equations based…

Methodology · Statistics 2025-12-19 Guanghui Wang , Mengtao Wen , Changliang Zou

This paper introduces a novel oversampling technique designed to improve classification performance on imbalanced datasets. The proposed method enhances the traditional SMOTE algorithm by incorporating convex combination and kernel-based…

Machine Learning · Computer Science 2025-04-15 Wenjie Li , Sibo Zhu , Zhijian Li , Hanlin Wang

Weakly supervised multiple instance learning (MIL) is a challenging task given that only bag-level labels are provided, while each bag typically contains multiple instances. This topic has been extensively studied in histopathological image…

Computer Vision and Pattern Recognition · Computer Science 2025-08-01 Bodong Zhang , Hamid Manoochehri , Xiwen Li , Beatrice S. Knudsen , Tolga Tasdizen

Quantifying differences between probability distributions is fundamental to statistics and machine learning, primarily for comparing statistical uncertainty. In contrast, epistemic uncertainty -- due to incomplete knowledge -- requires…

Machine Learning · Statistics 2026-05-13 Siu Lun Chau , Michele Caprio , Krikamol Muandet

We consider inference in models defined by approximate moment conditions. We show that near-optimal confidence intervals (CIs) can be formed by taking a generalized method of moments (GMM) estimator, and adding and subtracting the standard…

Econometrics · Economics 2021-01-15 Timothy B. Armstrong , Michal Kolesár

Machine learning models must continuously self-adjust themselves for novel data distribution in the open world. As the predominant principle, entropy minimization (EM) has been proven to be a simple yet effective cornerstone in existing…

Machine Learning · Statistics 2024-10-16 Qingyang Zhang , Yatao Bian , Xinke Kong , Peilin Zhao , Changqing Zhang

Due to the limited amount and imbalanced classes of labeled training data, the conventional supervised learning can not ensure the discrimination of the learned feature for hyperspectral image (HSI) classification. In this paper, we propose…

Computer Vision and Pattern Recognition · Computer Science 2018-09-06 Yan Ju , Lingling Li , Licheng Jiao , Zhongle Ren , Biao Hou , Shuyuan Yang

Concurrent learning is a recently developed adaptive update scheme that can be used to guarantee parameter convergence without requiring persistent excitation. However, this technique requires knowledge of state derivatives, which are…

Systems and Control · Computer Science 2021-07-07 Anup Parikh , Rushikesh Kamalapurkar , Warren E. Dixon

Penalized likelihood and quasi-likelihood methods dominate inference in high-dimensional linear mixed-effects models. Sampling-based Bayesian inference is less explored due to the computational bottlenecks introduced by the random effects…

Methodology · Statistics 2025-07-24 Sreya Sarkar , Kshitij Khare , Sanvesh Srivastava

Independent component analysis provides a principled framework for unsupervised representation learning, with solid theory on the identifiability of the latent code that generated the data, given only observations of mixtures thereof.…

Machine Learning · Statistics 2022-02-10 Luigi Gresele , Julius von Kügelgen , Vincent Stimper , Bernhard Schölkopf , Michel Besserve

This paper considers nonparametric regression from strongly mixing observations. The proposed approach is based on deep neural networks with minimum error entropy (MEE) principle. We study two estimators: the non-penalized deep neural…

Machine Learning · Statistics 2026-03-13 William Kengne , Modou Wade

Combining multiple predictors obtained from distributed data sources to an accurate meta-learner is promising to achieve enhanced performance in lots of prediction problems. As the accuracy of each predictor is usually unknown, integrating…

Machine Learning · Statistics 2024-08-16 Shiva Afshar , Yinghan Chen , Shizhong Han , Ying Lin

We propose Partially Interpretable Estimators (PIE) which attribute a prediction to individual features via an interpretable model, while a (possibly) small part of the PIE prediction is attributed to the interaction of features via a…

Machine Learning · Computer Science 2021-05-07 Tong Wang , Jingyi Yang , Yunyi Li , Boxiang Wang
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