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Based on the observation that semantic segmentation errors are partially predictable, we propose a compact formulation using confusion statistics of the trained classifier to refine (re-estimate) the initial pixel label hypotheses. The…

Computer Vision and Pattern Recognition · Computer Science 2018-01-24 James W. Davis , Christopher Menart , Muhammad Akbar , Roman Ilin

The problem of variable clustering is that of grouping similar components of a $p$-dimensional vector $X=(X_{1},\ldots,X_{p})$, and estimating these groups from $n$ independent copies of $X$. When cluster similarity is defined via…

Statistics Theory · Mathematics 2016-06-17 Florentina Bunea , Christophe Giraud , Martin Royer , Nicolas Verzelen

The most common primary brain tumors are gliomas, evolving from the cerebral supportive cells. For clinical follow-up, the evaluation of the preoperative tumor volume is essential. Volumetric assessment of tumor volume with manual…

Computer Vision and Pattern Recognition · Computer Science 2011-03-11 Jan Egger , Dženan Zukić , Miriam H. A. Bauer , Daniela Kuhnt , Barbara Carl , Bernd Freisleben , Andreas Kolb , Christopher Nimsky

Partitioning and grouping of similar objects plays a fundamental role in image segmentation and in clustering problems. In such problems a typical goal is to group together similar objects, or pixels in the case of image processing. At the…

Computer Vision and Pattern Recognition · Computer Science 2010-10-12 Dorit S. Hochbaum

We consider the problem of clustering a sample of probability distributions from a random distribution on $\mathbb R^p$. Our proposed partitioning method makes use of a symmetric, positive-definite kernel $k$ and its associated reproducing…

Machine Learning · Statistics 2025-09-23 Amparo Baíllo , Jose R. Berrendero , Martín Sánchez-Signorini

Maximum likelihood iteration is one of the most commonly used reconstruction algorithms in quantum tomography. The main appeal of the method is that it is easy to implement and that it converges reliably to a physically meaningful density…

Quantum Physics · Physics 2025-08-21 Florian Oberender

We consider a generalization of the discrete-time Self Healing Umbrella Sampling method, which is an adaptive importance technique useful to sample multimodal target distributions. The importance function is based on the weights (namely the…

Probability · Mathematics 2017-09-04 Gersende Fort , Benjamin Jourdain , Tony Lelièvre , Gabriel Stoltz

Conventional methods for computing maximum-likelihood estimators (MLE) often converge slowly in practical situations, leading to a search for simplifying methods that rely on additional assumptions for their validity. In this work, we…

Quantum Physics · Physics 2017-06-28 Jiangwei Shang , Zhengyun Zhang , Hui Khoon Ng

Biclustering, the process of simultaneously clustering the rows and columns of a data matrix, is a popular and effective tool for finding structure in a high-dimensional dataset. Many biclustering procedures appear to work well in practice,…

Methodology · Statistics 2020-06-04 Cheryl J. Flynn , Patrick O. Perry

We propose a new segmentation model combining common regularization energies, e.g. Markov Random Field (MRF) potentials, and standard pairwise clustering criteria like Normalized Cut (NC), average association (AA), etc. These clustering and…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Meng Tang , Dmitrii Marin , Ismail Ben Ayed , Yuri Boykov

We consider distributed estimation of the inverse covariance matrix, also called the concentration or precision matrix, in Gaussian graphical models. Traditional centralized estimation often requires global inference of the covariance…

Machine Learning · Statistics 2015-06-15 Zhaoshi Meng , Dennis Wei , Ami Wiesel , Alfred O. Hero

We consider signal reconstruction from the norms of subspace components generalizing standard phase retrieval problems. In the deterministic setting, a closed reconstruction formula is derived when the subspaces satisfy certain cubature…

Probability · Mathematics 2017-09-04 Christine Bachoc , Martin Ehler

Training the parameters of statistical models to describe a given data set is a central task in the field of data mining and machine learning. A very popular and powerful way of parameter estimation is the method of maximum likelihood…

Machine Learning · Computer Science 2016-03-22 Johannes Blömer , Sascha Brauer , Kathrin Bujna

Semantic segmentation is a crucial task in medical image processing, essential for segmenting organs or lesions such as tumors. In this study we aim to improve automated segmentation in CBCTs through multi-task learning. To evaluate effects…

Image and Video Processing · Electrical Eng. & Systems 2024-12-03 Maximilian Ernst Tschuchnig , Julia Coste-Marin , Philipp Steininger , Michael Gadermayr

We propose kernel distributionally robust optimization (Kernel DRO) using insights from the robust optimization theory and functional analysis. Our method uses reproducing kernel Hilbert spaces (RKHS) to construct a wide range of convex…

Optimization and Control · Mathematics 2021-06-28 Jia-Jie Zhu , Wittawat Jitkrittum , Moritz Diehl , Bernhard Schölkopf

Magnetic resonance imaging (MRI) is mainly limited by long scanning time and vulnerable to human tissue motion artifacts, in 3D clinical scenarios. Thus, k-space undersampling is used to accelerate the acquisition of MRI while leading to…

Image and Video Processing · Electrical Eng. & Systems 2022-01-11 Shengke Xue , Ruiliang Bai , Xinyu Jin

We propose and study a multi-scale approach to vector quantization. We develop an algorithm, dubbed reconstruction trees, inspired by decision trees. Here the objective is parsimonious reconstruction of unsupervised data, rather than…

Machine Learning · Computer Science 2019-09-05 Enrico Cecini , Ernesto De Vito , Lorenzo Rosasco

We analyze the clustering problem through a flexible probabilistic model that aims to identify an optimal partition on the sample X 1 , ..., X n. We perform exact clustering with high probability using a convex semidefinite estimator that…

Statistics Theory · Mathematics 2017-05-19 Martin Royer

Segmentation is a fundamental task in medical image analysis. The clinical interest is often to measure the volume of a structure. To evaluate and compare segmentation methods, the similarity between a segmentation and a predefined ground…

Image and Video Processing · Electrical Eng. & Systems 2020-10-09 Jeroen Bertels , David Robben , Dirk Vandermeulen , Paul Suetens

Cosmological parameter estimation from forthcoming experiments promise to reach much greater precision than current constraints. As statistical errors shrink, the required control over systematic errors increases. Therefore, models or…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-07 José Luis Bernal , Nicola Bellomo , Alvise Raccanelli , Licia Verde