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In this paper, we study a class of bilevel programming problem where the inner objective function is strongly convex. More specifically, under some mile assumptions on the partial derivatives of both inner and outer objective functions, we…

Optimization and Control · Mathematics 2018-02-08 Saeed Ghadimi , Mengdi Wang

Learning binary representation is essential to large-scale computer vision tasks. Most existing algorithms require a separate quantization constraint to learn effective hashing functions. In this work, we present Direct Binary Embedding…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Liu Liu , Alireza Rahimpour , Ali Taalimi , Hairong Qi

We propose a novel machine learning strategy for studying neuroanatomical shape variation. Our model works with volumetric binary segmentation images, and requires no pre-processing such as the extraction of surface points or a mesh. The…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Evan M. Yu , Mert R. Sabuncu

Recent binary representation learning models usually require sophisticated binary optimization, similarity measure or even generative models as auxiliaries. However, one may wonder whether these non-trivial components are needed to…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Yuming Shen , Jie Qin , Jiaxin Chen , Li Liu , Fan Zhu

In a real-world setting, visual recognition systems can be brought to make predictions for images belonging to previously unknown class labels. In order to make semantically meaningful predictions for such inputs, we propose a two-step…

Machine Learning · Computer Science 2017-08-29 Vincent P. A. Lonij , Ambrish Rawat , Maria-Irina Nicolae

We present an algorithm to approximate the solutions to variational problems where set of admissible functions consists of convex functions. The main motivator behind this numerical method is estimating solutions to Adverse Selection…

Optimization and Control · Mathematics 2008-03-07 Ivar Ekeland , Santiago Moreno

Low-rank modeling generally refers to a class of methods that solve problems by representing variables of interest as low-rank matrices. It has achieved great success in various fields including computer vision, data mining, signal…

Computer Vision and Pattern Recognition · Computer Science 2014-10-24 Xiaowei Zhou , Can Yang , Hongyu Zhao , Weichuan Yu

Image segmentation algorithms often depend on appearance models that characterize the distribution of pixel values in different image regions. We describe a new approach for estimating appearance models directly from an image, without…

Computer Vision and Pattern Recognition · Computer Science 2021-09-16 Jeova F. S. Rocha Neto , Pedro Felzenszwalb , Marilyn Vazquez

How to effectively approximate real-valued parameters with binary codes plays a central role in neural network binarization. In this work, we reveal an important fact that binarizing different layers has a widely-varied effect on the…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Lixue Zhuang , Yi Xu , Bingbing Ni , Hongteng Xu

Patch-wise multi-label classification provides an efficient alternative to full pixel-wise segmentation on high-resolution images, particularly when the objective is to determine the presence or absence of target objects within a patch…

Machine Learning · Computer Science 2025-11-18 Ihab Asaad , Maha Shadaydeh , Joachim Denzler

Volumetry is one of the principal downstream applications of 3D medical image segmentation, for example, to detect abnormal tissue growth or for surgery planning. Conformal Prediction is a promising framework for uncertainty quantification,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-30 Benjamin Lambert , Florence Forbes , Senan Doyle , Michel Dojat

A variational model for learning convolutional image atoms from corrupted and/or incomplete data is introduced and analyzed both in function space and numerically. Building on lifting and relaxation strategies, the proposed approach is…

Optimization and Control · Mathematics 2018-12-10 Antonin Chambolle , Martin Holler Thomas Pock

Convex hulls are fundamental objects in computational geometry. In moderate dimensions or for large numbers of vertices, computing the convex hull can be impractical due to the computational complexity of convex hull algorithms. In this…

Computational Geometry · Computer Science 2017-06-16 Robert Graham , Adam M. Oberman

In this paper, we consider solving a class of convex optimization problem which minimizes the sum of three convex functions $f(x)+g(x)+h(Bx)$, where $f(x)$ is differentiable with a Lipschitz continuous gradient, $g(x)$ and $h(x)$ have a…

Optimization and Control · Mathematics 2019-04-30 Yu-Chao Tang , Guo-Rong Wu , Chuan-Xi Zhu

Binary code similarity detection is a core task in reverse engineering. It supports malware analysis and vulnerability discovery by identifying semantically similar code in different contexts. Modern methods have progressed from manually…

Artificial Intelligence · Computer Science 2025-09-30 Charles E. Gagnon , Steven H. H. Ding , Philippe Charland , Benjamin C. M. Fung

Convex hulls are useful as tight bounding proxies for a variety of tasks including collision detection, ray intersection, and distance computation. Unfortunately, the complexity of polyhedral convex hulls grows linearly with their input. We…

Graphics · Computer Science 2026-04-17 Alec Jacobson

Polynomial approximations of functions are widely used in scientific computing. In certain applications, it is often desired to require the polynomial approximation to be non-negative (resp. non-positive), or bounded within a given range,…

Numerical Analysis · Mathematics 2024-11-12 Yuan Chen , Dongbin Xiu , Xiangxiong Zhang

Recently, very high-dimensional feature representations, e.g., Fisher Vector, have achieved excellent performance for visual recognition and retrieval. However, these lengthy representations always cause extremely heavy computational and…

Computer Vision and Pattern Recognition · Computer Science 2015-09-17 Li Liu , Mengyang Yu , Ling Shao

Numerous tasks in imaging and vision can be formulated as variational problems over vector-valued maps. We approach the relaxation and convexification of such vectorial variational problems via a lifting to the space of currents. To that…

Computer Vision and Pattern Recognition · Computer Science 2019-05-03 Thomas Möllenhoff , Daniel Cremers

This paper investigates the problem of recovering missing samples using methods based on sparse representation adapted especially for image signals. Instead of $l_2$-norm or Mean Square Error (MSE), a new perceptual quality measure is used…

Machine Learning · Computer Science 2017-10-18 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti