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We develop a projected least squares estimator for the change point parameter in a high dimensional time series model with a potential change point. Importantly we work under the setup where the jump size may be near the boundary of the…

Statistics Theory · Mathematics 2019-09-19 Abhishek Kaul , Venkata K Jandhyala , Stergios B Fotopoulos

We present two practical improvement techniques for unsupervised segmentation learning. These techniques address limitations in the resolution and accuracy of predicted segmentation maps of recent state-of-the-art methods. Firstly, we…

Computer Vision and Pattern Recognition · Computer Science 2024-12-02 Alp Eren Sari , Francesco Locatello , Paolo Favaro

Diffusion models generate samples by estimating the score function of the target distribution at various noise levels. The model is trained using samples drawn from the target distribution by progressively adding noise. Previous sample…

Machine Learning · Computer Science 2025-10-28 Syamantak Kumar , Dheeraj Nagaraj , Purnamrita Sarkar

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

We study problem-dependent rates, i.e., generalization errors that scale near-optimally with the variance, the effective loss, or the gradient norms evaluated at the "best hypothesis." We introduce a principled framework dubbed "uniform…

Machine Learning · Statistics 2020-12-25 Yunbei Xu , Assaf Zeevi

Obtaining high certainty in predictive models is crucial for making informed and trustworthy decisions in many scientific and engineering domains. However, extensive experimentation required for model accuracy can be both costly and…

Machine Learning · Computer Science 2024-12-17 Giorgio Morales , John Sheppard

Recent research has established sufficient conditions for finite mixture models to be identifiable from grouped observations. These conditions allow the mixture components to be nonparametric and have substantial (or even total) overlap.…

Machine Learning · Statistics 2020-06-16 Alexander Ritchie , Robert A. Vandermeulen , Clayton Scott

We propose a scalable method for forward stochastic reachability analysis for uncontrolled linear systems with affine disturbance. Our method uses Fourier transforms to efficiently compute the forward stochastic reach probability measure…

Systems and Control · Computer Science 2017-02-14 Abraham P. Vinod , Baisravan Homchaudhuri , Meeko M. K. Oishi

Heterogeneity is often natural in many contemporary applications involving massive data. While posing new challenges to effective learning, it can play a crucial role in powering meaningful scientific discoveries through the understanding…

Methodology · Statistics 2016-06-14 Zhao Ren , Yongjian Kang , Yingying Fan , Jinchi Lv

Boosting methods are widely used in statistical learning to deal with high-dimensional data due to their variable selection feature. However, those methods lack straightforward ways to construct estimators for the precision of the…

Methodology · Statistics 2021-06-10 Boyao Zhang , Colin Griesbach , Cora Kim , Nadia Müller-Voggel , Elisabeth Bergherr

In this paper, sensor selection problems for target tracking in large sensor networks with linear equality or inequality constraints are considered. First, we derive an equivalent Kalman filter for sensor selection, i.e., generalized…

Optimization and Control · Mathematics 2023-07-19 Xiaojing Shen , Pramod K. Varshney

End-to-end self-supervised models have been proposed for estimating the success of future candidate grasps and video predictive models for generating future observations. However, none have yet studied these two strategies side-by-side for…

Robotics · Computer Science 2024-03-14 Daniel Fernandes Gomes , Wenxuan Mou , Paolo Paoletti , Shan Luo

Parameter estimation and inference from complex survey samples typically focuses on global model parameters whose estimators have asymptotic properties, such as from fixed effects regression models. The central challenge is to both mitigate…

Methodology · Statistics 2026-05-13 Matthew R. Williams , F. Hunter McGuire , Terrance D. Savitsky

In the realm of medical imaging, inverse problems aim to infer high-quality images from incomplete, noisy measurements, with the objective of minimizing expenses and risks to patients in clinical settings. The Diffusion Models have recently…

Image and Video Processing · Electrical Eng. & Systems 2024-04-08 Hossein Askari , Fred Roosta , Hongfu Sun

Evaluating generative models for synthetic medical imaging is crucial yet challenging, especially given the high standards of fidelity, anatomical accuracy, and safety required for clinical applications. Standard evaluation of generated…

Image and Video Processing · Electrical Eng. & Systems 2025-05-13 Yash Deo , Yan Jia , Toni Lassila , William A. P. Smith , Tom Lawton , Siyuan Kang , Alejandro F. Frangi , Ibrahim Habli

We introduce inherent measures for effective quality control of brain segmentation based on a Bayesian fully convolutional neural network, using model uncertainty. Monte Carlo samples from the posterior distribution are efficiently…

Computer Vision and Pattern Recognition · Computer Science 2018-06-11 Abhijit Guha Roy , Sailesh Conjeti , Nassir Navab , Christian Wachinger

Model inadequacy and measurement uncertainty are two of the most confounding aspects of inference and prediction in quantitative sciences. The process of scientific inference (the inverse problem) and prediction (the forward problem)…

Data Analysis, Statistics and Probability · Physics 2017-11-30 Amir Shahmoradi

In this paper, we establish an iterative data-driven approach to derive guaranteed bounds on nonlinearity measures of unknown nonlinear systems. In this context, nonlinearity measures quantify the strength of the nonlinearity of a dynamical…

Systems and Control · Electrical Eng. & Systems 2020-08-13 Tim Martin , Frank Allgöwer

Causal inference from observational data provides strong evidence for the best action in decision-making without performing expensive randomized trials. The effect of an action is usually not identifiable under unobserved confounding, even…

Machine Learning · Computer Science 2026-02-02 Md Musfiqur Rahman , Ziwei Jiang , Hilaf Hasson , Murat Kocaoglu

We consider the problem of estimating the expected value of information (the knowledge gradient) for Bayesian learning problems where the belief model is nonlinear in the parameters. Our goal is to maximize some metric, while simultaneously…

Machine Learning · Statistics 2016-11-23 Xinyu He , Warren B. Powell