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This paper considers nonparametric identification and estimation of the regression function when a covariate is mismeasured. The measurement error need not be classical. Employing the small measurement error approximation, we establish…

Econometrics · Economics 2024-03-19 Kirill S. Evdokimov , Andrei Zeleneev

Weakly supervised semantic segmentation (WSSS) trains dense pixel-level segmentation models from partial or coarse annotations such as bounding boxes, scribbles, or image-level tags. While recent work leverages foundation models such as the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Stefano Colamonaco , Andrei-Bogdan Florea , Jaron Maene

This paper describes how to reparameterize low-dimensional factor models with one or two factors to fit weak identification theory developed for generalized method of moments models. Some identification-robust tests, here called "plug-in"…

Econometrics · Economics 2024-03-08 Gregory Cox

Inference on the parametric part of a semiparametric model is no trivial task. If one approximates the infinite dimensional part of the semiparametric model by a parametric function, one obtains a parametric model that is in some sense…

Statistics Theory · Mathematics 2025-09-23 Adam Lee , Emil A. Stoltenberg , Per A. Mykland

Estimating population quantities such as mean outcomes from user feedback is fundamental to platform evaluation and social science, yet feedback is often missing not at random (MNAR): users with stronger opinions are more likely to respond,…

Machine Learning · Statistics 2026-02-19 Hongyu Chen , David Simchi-Levi , Ruoxuan Xiong

Weak form Scientific Machine Learning (WSciML) is a recently developed framework for data-driven modeling and scientific discovery. It leverages the weak form of equation error residuals to provide enhanced noise robustness in system…

Numerical Analysis · Mathematics 2025-07-08 April Tran , David Bortz

Weak-to-Strong Generalization (W2SG), where a weak model supervises a stronger one, serves as an important analogy for understanding how humans might guide superhuman intelligence in the future. Promising empirical results revealed that a…

Machine Learning · Computer Science 2025-06-19 Yihao Xue , Jiping Li , Baharan Mirzasoleiman

We focus on tackling weakly supervised semantic segmentation with scribble-level annotation. The regularized loss has been proven to be an effective solution for this task. However, most existing regularized losses only leverage static…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Bingfeng Zhang , Jimin Xiao , Yao Zhao

Linearizability is a widely accepted notion of correctness for concurrent objects. Recent research has investigated redefining linearizability for particular hardware weak memory models, in particular for TSO. In this paper, we provide an…

Logic in Computer Science · Computer Science 2019-07-03 Graeme Smith , Kirsten Winter , Robert J. Colvin

Weak submodularity is a natural relaxation of the diminishing return property, which is equivalent to submodularity. Weak submodularity has been used to show that many (monotone) functions that arise in practice can be efficiently maximized…

Data Structures and Algorithms · Computer Science 2020-09-24 Richard Santiago , Yuichi Yoshida

This paper considers an empirical likelihood inference for parameters defined by general estimating equations, when data are missing at random. The efficiency of existing estimators depends critically on correctly specifying the conditional…

Methodology · Statistics 2016-12-06 Tianqing Liu , Xiaohui Yuan , Zhaohai Li , Aiyi Liu

In the past decades, weak convergence theory for stochastic processes has become a standard tool for analyzing the asymptotic properties of various statistics. Routinely, weak convergence is considered in the space of bounded functions…

Statistics Theory · Mathematics 2014-08-15 Axel Bücher , Johan Segers , Stanislav Volgushev

We introduce Integrated Weak Learning, a principled framework that integrates weak supervision into the training process of machine learning models. Our approach jointly trains the end-model and a label model that aggregates multiple…

Machine Learning · Computer Science 2022-06-22 Peter Hayes , Mingtian Zhang , Raza Habib , Jordan Burgess , Emine Yilmaz , David Barber

The semivarying coefficient models are widely used in the application of finance, economics, medical science and many other areas. The functional coefficients are commonly estimated by local smoothing methods, e.g. local linear estimator.…

Methodology · Statistics 2020-01-01 Heng Peng , Chuanlong Xie , Jingxin Zhao

Since the seminal papers by Giannessi, an interesting topic in vector optimization has been the characterization of (weak) efficiency thorough Minty and Stampacchia type variational inequalities. Several results have been proved to extend…

Optimization and Control · Mathematics 2016-12-02 Giovanni P. Crespi , Carola Schrage

We consider the weak detection problem in a rank-one spiked Wigner data matrix where the signal-to-noise ratio is small so that reliable detection is impossible. We propose a hypothesis test on the presence of the signal by utilizing the…

Statistics Theory · Mathematics 2022-06-28 Hye Won Chung , Ji Oon Lee

Existing weak supervision approaches use all the data covered by weak signals to train a classifier. We show both theoretically and empirically that this is not always optimal. Intuitively, there is a tradeoff between the amount of…

Machine Learning · Statistics 2023-03-08 Hunter Lang , Aravindan Vijayaraghavan , David Sontag

Weakly supervised learning is a popular approach for training machine learning models in low-resource settings. Instead of requesting high-quality yet costly human annotations, it allows training models with noisy annotations obtained from…

Computation and Language · Computer Science 2023-09-19 Dawei Zhu , Xiaoyu Shen , Marius Mosbach , Andreas Stephan , Dietrich Klakow

As machine learning algorithms become increasingly sophisticated to exploit subtle features of the data, they often become more dependent on simulations. This paper presents a new approach called weakly supervised classification in which…

High Energy Physics - Phenomenology · Physics 2017-07-04 Lucio Mwinmaarong Dery , Benjamin Nachman , Francesco Rubbo , Ariel Schwartzman

We study an asymptotic preserving scheme for the temporal discretization of a system of parabolic semilinear SPDEs with two time scales. Owing to the averaging principle, when the time scale separation $\epsilon$ vanishes, the slow…

Numerical Analysis · Mathematics 2022-03-22 Charles-Edouard Bréhier