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We propose a novel spatially continuous framework for convex relaxations based on functional lifting. Our method can be interpreted as a sublabel-accurate solution to multilabel problems. We show that previously proposed functional lifting…

Computer Vision and Pattern Recognition · Computer Science 2015-12-07 Thomas Möllenhoff , Emanuel Laude , Michael Moeller , Jan Lellmann , Daniel Cremers

Convex relaxations of nonconvex multilabel problems have been demonstrated to produce superior (provably optimal or near-optimal) solutions to a variety of classical computer vision problems. Yet, they are of limited practical use as they…

Computer Vision and Pattern Recognition · Computer Science 2016-10-11 Emanuel Laude , Thomas Möllenhoff , Michael Moeller , Jan Lellmann , Daniel Cremers

In this work we show how sublabel-accurate multilabeling approaches can be derived by approximating a classical label-continuous convex relaxation of nonconvex free-discontinuity problems. This insight allows to extend these…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Thomas Möllenhoff , Daniel Cremers

State estimation is required whenever we deal with high-dimensional dynamical systems, as the complete measurement is often unavailable. It is key to gaining insight, performing control or optimizing design tasks. Most deep learning-based…

Machine Learning · Computer Science 2022-03-15 Yash Kumar , Souvik Chakraborty

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

Matching and partitioning problems are fundamentals of computer vision applications with examples in multilabel segmentation, stereo estimation and optical-flow computation. These tasks can be posed as non-convex energy minimization…

Computer Vision and Pattern Recognition · Computer Science 2020-09-14 Jonas Geiping , Fjedor Gaede , Hartmut Bauermeister , Michael Moeller

Deep learning is usually data starved, and the unsupervised domain adaptation (UDA) is developed to introduce the knowledge in the labeled source domain to the unlabeled target domain. Recently, deep self-training presents a powerful means…

Computer Vision and Pattern Recognition · Computer Science 2022-08-30 Lingsheng Kong , Bo Hu , Xiongchang Liu , Jun Lu , Jane You , Xiaofeng Liu

This thesis addresses challenges related to data and parameter efficiency in neural language models, with a focus on representation analysis and the introduction of new optimization techniques. The first part examines the properties and…

Computation and Language · Computer Science 2025-07-17 Josip Jukić

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

The success of deep learning has been due, in no small part, to the availability of large annotated datasets. Thus, a major bottleneck in current learning pipelines is the time-consuming human annotation of data. In scenarios where such…

Machine Learning · Computer Science 2021-01-29 Alona Golts , Daniel Freedman , Michael Elad

Self-supervised learning systems have gained significant attention in recent years by leveraging clustering-based pseudo-labels to provide supervision without the need for human annotations. However, the noise in these pseudo-labels caused…

Computer Vision and Pattern Recognition · Computer Science 2024-10-21 Zia-ur-Rehman , Arif Mahmood , Wenxiong Kang

Recently, it has become evident that submodularity naturally captures widely occurring concepts in machine learning, signal processing and computer vision. Consequently, there is need for efficient optimization procedures for submodular…

Machine Learning · Computer Science 2013-11-19 Stefanie Jegelka , Francis Bach , Suvrit Sra

Recent progress in deep learning has been driven by increasingly larger models. However, their computational and energy demands have grown proportionally, creating significant barriers to their deployment and to a wider adoption of deep…

Machine Learning · Computer Science 2025-09-16 Pedro Savarese

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

Submodularity is a discrete domain functional property that can be interpreted as mimicking the role of the well-known convexity/concavity properties in the continuous domain. Submodular functions exhibit strong structure that lead to…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Ehsan Tohidi , Rouhollah Amiri , Mario Coutino , David Gesbert , Geert Leus , Amin Karbasi

Dense image matching is a fundamental low-level problem in Computer Vision, which has received tremendous attention from both discrete and continuous optimization communities. The goal of this paper is to combine the advantages of discrete…

Computer Vision and Pattern Recognition · Computer Science 2016-01-26 Alexander Shekhovtsov , Christian Reinbacher , Gottfried Graber , Thomas Pock

Deep neural networks have shown impressive performance in supervised learning, enabled by their ability to fit well to the provided training data. However, their performance is largely dependent on the quality of the training data and often…

Machine Learning · Computer Science 2021-11-11 Abhishek Kumar , Ehsan Amid

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

Dense semantic 3D reconstruction is typically formulated as a discrete or continuous problem over label assignments in a voxel grid, combining semantic and depth likelihoods in a Markov Random Field framework. The depth and semantic…

Computer Vision and Pattern Recognition · Computer Science 2019-06-26 Nikolay Savinov , Lubor Ladicky , Christian Haene , Marc Pollefeys

In this thesis I explore challenging discrete energy minimization problems that arise mainly in the context of computer vision tasks. This work motivates the use of such "hard-to-optimize" non-submodular functionals, and proposes methods…

Computer Vision and Pattern Recognition · Computer Science 2012-11-09 Shai Bagon
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