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A common problem encountered in many real-world applications is level set estimation where the goal is to determine the region in the function domain where the function is above or below a given threshold. When the function is black-box and…

Machine Learning · Computer Science 2024-02-27 Giang Ngo , Dang Nguyen , Dat Phan-Trong , Sunil Gupta

The level set estimation problem seeks to identify regions within a set of candidate points where an unknown and costly to evaluate function's value exceeds a specified threshold, providing an efficient alternative to exhaustive evaluations…

Machine Learning · Statistics 2025-03-27 Hideaki Ishibashi , Kota Matsui , Kentaro Kutsukake , Hideitsu Hino

Estimating the level set of a signal from measurements is a task that arises in a variety of fields, including medical imaging, astronomy, and digital elevation mapping. Motivated by scenarios where accurate and complete measurements of the…

Computer Vision and Pattern Recognition · Computer Science 2012-10-10 Akshay Soni , Jarvis Haupt

Level set estimation (LSE) classifies whether an unknown function's value exceeds a specified threshold for given inputs, a fundamental problem in many real-world applications. In active learning settings with limited initial data, we aim…

Machine Learning · Computer Science 2026-02-16 Giang Ngo , Dat Phan Trong , Dang Nguyen , Sunil Gupta

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2014-12-11 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2015-01-07 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

In this paper, we propose an object-based camera pose estimation from a single RGB image and a pre-built map of objects, represented with ellipsoidal models. We show that contrary to point correspondences, the definition of a cost function…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Matthieu Zins , Gilles Simon , Marie-Odile Berger

Level Set Estimation (LSE) is an important problem with applications in various fields such as material design, biotechnology, machine operational testing, etc. Existing techniques suffer from the scalability issue, that is, these methods…

Machine Learning · Statistics 2020-12-21 Huong Ha , Sunil Gupta , Santu Rana , Svetha Venkatesh

Frequency estimation from measurements corrupted by noise is a fundamental challenge across numerous engineering and scientific fields. Among the pivotal factors shaping the resolution capacity of any frequency estimation technique are…

Signal Processing · Electrical Eng. & Systems 2024-09-23 Sampath Kumar Dondapati , Omkar Nitsure , Satish Mulleti

Category-level pose estimation is a challenging task with many potential applications in computer vision and robotics. Recently, deep-learning-based approaches have made great progress, but are typically hindered by the need for large…

Computer Vision and Pattern Recognition · Computer Science 2023-11-27 Pengyuan Wang , Takuya Ikeda , Robert Lee , Koichi Nishiwaki

We present a new method for efficient high-quality image segmentation of objects and scenes. By analogizing classical computer graphics methods for efficient rendering with over- and undersampling challenges faced in pixel labeling tasks,…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Alexander Kirillov , Yuxin Wu , Kaiming He , Ross Girshick

Traditionally, data selection has been studied in settings where all samples from prospective sources are fully revealed to a machine learning developer. However, in practical data exchange scenarios, data providers often reveal only a…

Machine Learning · Computer Science 2023-07-06 Feiyang Kang , Hoang Anh Just , Anit Kumar Sahu , Ruoxi Jia

Set projection algorithms are a class of algorithms used in ptychography to help improve the quality of the reconstructed images. The set projection step is important because it helps to ensure that the reconstructed image satisfies the…

Signal Processing · Electrical Eng. & Systems 2023-11-21 Wenjie Mei , Andrew M. Maiden

Projective Norms are a class of tensor norms that map on the input and output spaces. These norms are useful for providing a measure of entanglement. Calculating the projective norms is an NP-hard problem, which creates challenges in…

Quantum Physics · Physics 2026-01-05 Aaditya Rudra , Maria Anastasia Jivulescu

A local projection model is defined by a set of linear regressions that account for the associations between exogenous variables and an endogenous variable observed at different time points. While it is standard practice to separately…

Methodology · Statistics 2020-07-14 Masahiro Tanaka

Semantic segmentation aims to robustly predict coherent class labels for entire regions of an image. It is a scene understanding task that powers real-world applications (e.g., autonomous navigation). One important application, the use of…

Computer Vision and Pattern Recognition · Computer Science 2023-02-16 Yuxiang Zhang , Sachin Mehta , Anat Caspi

Density level sets can be estimated using plug-in methods, excess mass algorithms or a hybrid of the two previous methodologies. The plug-in algorithms are based on replacing the unknown density by some nonparametric estimator, usually the…

Statistics Theory · Mathematics 2016-11-26 A. Rodríguez-Casal , P. Saavedra-Nieves

In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of a representation function but we modify the velocity that…

Numerical Analysis · Mathematics 2020-01-08 Maurizio Falcone , Giulio Paolucci , Silvia Tozza

Convex optimization problems arising in applications often have favorable objective functions and complicated constraints, thereby precluding first-order methods from being immediately applicable. We describe an approach that exchanges the…

Optimization and Control · Mathematics 2016-02-05 Aleksandr Y. Aravkin , James V. Burke , Dmitriy Drusvyatskiy , Michael P. Friedlander , Scott Roy

This paper presents an efficient gradient projection-based method for structural topological optimization problems characterized by a nonlinear objective function which is minimized over a feasible region defined by bilateral bounds and a…

Computational Engineering, Finance, and Science · Computer Science 2020-06-16 Zhi Zeng , Fulei Ma
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