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Related papers: Parsimonious Labeling

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Energies with high-order non-submodular interactions have been shown to be very useful in vision due to their high modeling power. Optimization of such energies, however, is generally NP-hard. A naive approach that works for small problem…

Computer Vision and Pattern Recognition · Computer Science 2013-10-09 Carl Olsson , Johannes Ulen , Yuri Boykov , Vladimir Kolmogorov

Collective graphical models exploit inter-instance associative dependence to output more accurate labelings. However existing models support very limited kind of associativity which restricts accuracy gains. This paper makes two major…

Artificial Intelligence · Computer Science 2009-07-07 Rahul Gupta , Sunita Sarawagi , Ajit A. Diwan

We consider discrete pairwise energy minimization problem (weighted constraint satisfaction, max-sum labeling) and methods that identify a globally optimal partial assignment of variables. When finding a complete optimal assignment is…

Discrete Mathematics · Computer Science 2014-06-17 Alexander Shekhovtsov

Problems of segmentation, denoising, registration and 3D reconstruction are often addressed with the graph cut algorithm. However, solving an unconstrained graph cut problem is NP-hard. For tractable optimization, pairwise potentials have…

Machine Learning · Computer Science 2019-11-26 Maxim Berman , Matthew B. Blaschko

Semi-supervised learning methods are usually employed in the classification of data sets where only a small subset of the data items is labeled. In these scenarios, label noise is a crucial issue, since the noise may easily spread to a…

Machine Learning · Computer Science 2020-02-14 Fabricio Aparecido Breve , Liang Zhao , Marcos Gonçalves Quiles

Unsupervised segmentation of large images using a Potts model Hamiltonian is unique in that segmentation is governed by a resolution parameter which scales the sensitivity to small clusters. Here, the input image is first modeled as a…

Computer Vision and Pattern Recognition · Computer Science 2020-02-06 Brendon Lutnick , Wen Dong , Zohar Nussinov , Pinaki Sarder

We address the problem of minimizing a class of energy functions consisting of data and smoothness terms that commonly occur in machine learning, computer vision, and pattern recognition. While discrete optimization methods are able to give…

Computer Vision and Pattern Recognition · Computer Science 2022-06-22 Zhakshylyk Nurlanov , Daniel Cremers , Florian Bernard

Various applications involve assigning discrete label values to a collection of objects based on some pairwise noisy data. Due to the discrete---and hence nonconvex---structure of the problem, computing the optimal assignment (e.g.~maximum…

Information Theory · Computer Science 2017-12-11 Yuxin Chen , Emmanuel Candes

Discrete energy minimization is widely-used in computer vision and machine learning for problems such as MAP inference in graphical models. The problem, in general, is notoriously intractable, and finding the global optimal solution is…

Computer Vision and Pattern Recognition · Computer Science 2016-08-01 Mengtian Li , Alexander Shekhovtsov , Daniel Huber

Multicuts enable to conveniently represent discrete graphical models for unsupervised and supervised image segmentation, in the case of local energy functions that exhibit symmetries. The basic Potts model and natural extensions thereof to…

Computer Vision and Pattern Recognition · Computer Science 2015-11-17 Joerg Hendrik Kappes , Markus Speth , Gerhard Reinelt , Christoph Schnoerr

Weakly-supervised semantic segmentation is a challenging task as no pixel-wise label information is provided for training. Recent methods have exploited classification networks to localize objects by selecting regions with strong response.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-20 Xiang Wang , Sifei Liu , Huimin Ma , Ming-Hsuan Yang

The problem of minimizing the Potts energy function frequently occurs in computer vision applications. One way to tackle this NP-hard problem was proposed by Kovtun [19,20]. It identifies a part of an optimal solution by running $k$ maxflow…

Computer Vision and Pattern Recognition · Computer Science 2013-10-08 Igor Gridchyn , Vladimir Kolmogorov

Diversity maximization problem is a well-studied problem where the goal is to find $k$ diverse items. Fair diversity maximization aims to select a diverse subset of $k$ items from a large dataset, while requiring that each group of items be…

Data Structures and Algorithms · Computer Science 2025-06-11 Florian Adriaens , Nikolaj Tatti

Training deep neural networks (DNNs) from noisy labels is an important and challenging task. However, most existing approaches focus on the corrupted labels and ignore the importance of inherent data structure. To bridge the gap between…

Machine Learning · Computer Science 2024-05-03 Zijia Wang , Wenbin Yang , Zhisong Liu , Zhen Jia

We consider the NP-hard problem of MAP-inference for undirected discrete graphical models. We propose a polynomial time and practically efficient algorithm for finding a part of its optimal solution. Specifically, our algorithm marks some…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Alexander Shekhovtsov , Paul Swoboda , Bogdan Savchynskyy

We consider the problem of jointly inferring the M-best diverse labelings for a binary (high-order) submodular energy of a graphical model. Recently, it was shown that this problem can be solved to a global optimum, for many practically…

Computer Vision and Pattern Recognition · Computer Science 2016-06-24 Alexander Kirillov , Alexander Shekhovtsov , Carsten Rother , Bogdan Savchynskyy

To achieve parsimonious inference in per-pixel labeling tasks with a limited computational budget, we propose a \emph{Pixel-wise Attentional Gating} unit (\emph{PAG}) that learns to selectively process a subset of spatial locations at each…

Computer Vision and Pattern Recognition · Computer Science 2018-12-20 Shu Kong , Charless Fowlkes

Weakly-supervised segmentation with label-efficient sparse annotations has attracted increasing research attention to reduce the cost of laborious pixel-wise labeling process, while the pairwise affinity modeling techniques play an…

Computer Vision and Pattern Recognition · Computer Science 2023-10-18 Wentong Li , Yuqian Yuan , Song Wang , Wenyu Liu , Dongqi Tang , Jian Liu , Jianke Zhu , Lei Zhang

Based on an idea in [4] we propose a new iterative multiplicative filtering algorithm for label assignment matrices which can be used for the supervised partitioning of data. Starting with a row-normalized matrix containing the averaged…

Numerical Analysis · Mathematics 2018-12-10 Ronny Bergmann , Jan Henrik Fitschen , Johannes Persch , Gabriele Steidl

We propose a novel segmentation method based on energy minimization of higher-order potentials. We introduce higher-order terms into the energy to incorporate prior knowledge on the shape of the segments. The terms encourage certain sets of…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Yoshiro Kitamura , Yuanzhong Li , Wataru Ito , Hiroshi Ishikawa
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