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We develop a weighted Bayesian Bootstrap (WBB) for machine learning and statistics. WBB provides uncertainty quantification by sampling from a high dimensional posterior distribution. WBB is computationally fast and scalable using only…

Methodology · Statistics 2021-04-06 Michael Newton , Nicholas G. Polson , Jianeng Xu

Many contemporary machine learning models require extensive tuning of hyperparameters to perform well. A variety of methods, such as Bayesian optimization, have been developed to automate and expedite this process. However, tuning remains…

Machine Learning · Computer Science 2020-02-25 Setareh Ariafar , Zelda Mariet , Ehsan Elhamifar , Dana Brooks , Jennifer Dy , Jasper Snoek

We consider the Sherrington-Kirkpatrick model of spin glasses at high-temperature and no external field, and study the problem of sampling from the Gibbs distribution $\mu$ in polynomial time. We prove that, for any inverse temperature…

Probability · Mathematics 2024-02-19 Ahmed El Alaoui , Andrea Montanari , Mark Sellke

We study the minimax sample complexity of multicalibration in the batch setting. A learner observes $n$ i.i.d. samples from an unknown distribution and must output a (possibly randomized) predictor whose population multicalibration error,…

Machine Learning · Computer Science 2026-04-24 Natalie Collina , Jiuyao Lu , Georgy Noarov , Aaron Roth

Learning from a limited number of samples is challenging since the learned model can easily become overfitted based on the biased distribution formed by only a few training examples. In this paper, we calibrate the distribution of these…

Machine Learning · Computer Science 2021-08-17 Shuo Yang , Lu Liu , Min Xu

This paper presents a novel Importance Sampling (IS) scheme for estimating distribution tails of performance measures modeled with a rich set of tools such as linear programs, integer linear programs, piecewise linear/quadratic objectives,…

Machine Learning · Statistics 2023-07-11 Anand Deo , Karthyek Murthy

Cosmological fine-tuning has traditionally been associated with the narrowness of the intervals in which the parameters of the physical models must be located to make life possible. A more thorough approach focuses on the probability of the…

History and Philosophy of Physics · Physics 2022-04-26 Daniel Andrés Díaz-Pachón , Ola Hössjer , Robert J. Marks

The sample compression theory provides generalization guarantees for predictors that can be fully defined using a subset of the training dataset and a (short) message string, generally defined as a binary sequence. Previous works provided…

Machine Learning · Computer Science 2025-03-12 Mathieu Bazinet , Valentina Zantedeschi , Pascal Germain

Wasserstein Barycenter is a principled approach to represent the weighted mean of a given set of probability distributions, utilizing the geometry induced by optimal transport. In this work, we present a novel scalable algorithm to…

Machine Learning · Computer Science 2021-11-30 Jiaojiao Fan , Amirhossein Taghvaei , Yongxin Chen

We examine the extent to which sublinear-sample property testing and estimation apply to settings where samples are independently but not identically distributed. Specifically, we consider the following distributional property testing…

Data Structures and Algorithms · Computer Science 2025-11-05 Shivam Garg , Chirag Pabbaraju , Kirankumar Shiragur , Gregory Valiant

As statistical analyses become more central to science, industry and society, there is a growing need to ensure correctness of their results. Approximate correctness can be verified by replicating the entire analysis, but can we verify…

Computational Complexity · Computer Science 2024-09-11 Tal Herman , Guy Rothblum

While a broad range of techniques have been proposed to tackle distribution shift, the simple baseline of training on an $\textit{undersampled}$ balanced dataset often achieves close to state-of-the-art-accuracy across several popular…

Machine Learning · Computer Science 2023-06-21 Niladri S. Chatterji , Saminul Haque , Tatsunori Hashimoto

Test-time adaptation (TTA) seeks to tackle potential distribution shifts between training and testing data by adapting a given model w.r.t. any testing sample. This task is particularly important for deep models when the test environment…

Machine Learning · Computer Science 2022-06-01 Shuaicheng Niu , Jiaxiang Wu , Yifan Zhang , Yaofo Chen , Shijian Zheng , Peilin Zhao , Mingkui Tan

Importance sampling is a Monte Carlo method which designs estimators of expectations under a target distribution using weighted samples from a proposal distribution. When the target distribution is complex, such as multimodal distributions…

Methodology · Statistics 2026-02-04 Anas Cherradi , Yazid Janati , Alain Durmus , Sylvain Le Corff , Yohan Petetin , Julien Stoehr

Sampling from probability distributions is an important problem in statistics and machine learning, specially in Bayesian inference when integration with respect to posterior distribution is intractable and sampling from the posterior is…

Computation · Statistics 2021-09-07 Jian Huang , Yuling Jiao , Lican Kang , Xu Liao , Jin Liu , Yanyan Liu

Data imbalance is a well-known issue in the field of machine learning, attributable to the cost of data collection, the difficulty of labeling, and the geographical distribution of the data. In computer vision, bias in data distribution…

Computer Vision and Pattern Recognition · Computer Science 2023-08-23 Shubham Shrivastava , Xianling Zhang , Sushruth Nagesh , Armin Parchami

When facing uncertainty, decision-makers want predictions they can trust. A machine learning provider can convey confidence to decision-makers by guaranteeing their predictions are distribution calibrated -- amongst the inputs that receive…

Machine Learning · Statistics 2021-07-14 Shengjia Zhao , Michael P. Kim , Roshni Sahoo , Tengyu Ma , Stefano Ermon

Imbalanced learning is a fundamental challenge in data mining, where there is a disproportionate ratio of training samples in each class. Over-sampling is an effective technique to tackle imbalanced learning through generating synthetic…

Machine Learning · Computer Science 2022-08-29 Daochen Zha , Kwei-Herng Lai , Qiaoyu Tan , Sirui Ding , Na Zou , Xia Hu

In the AutoML domain, test accuracy is heralded as the quintessential metric for evaluating model efficacy, underpinning a wide array of applications from neural architecture search to hyperparameter optimization. However, the reliability…

Machine Learning · Computer Science 2024-09-24 Pawel Pukowski , Haiping Lu

We investigate Learning from Label Proportions (LLP), a partial information setting where examples in a training set are grouped into bags, and only aggregate label values in each bag are available. Despite the partial observability, the…

Machine Learning · Computer Science 2025-06-02 Robert Busa-Fekete , Travis Dick , Claudio Gentile , Haim Kaplan , Tomer Koren , Uri Stemmer
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