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We introduce a novel matching algorithm, called DeepMatching, to compute dense correspondences between images. DeepMatching relies on a hierarchical, multi-layer, correlational architecture designed for matching images and was inspired by…

Computer Vision and Pattern Recognition · Computer Science 2015-10-12 Jerome Revaud , Philippe Weinzaepfel , Zaid Harchaoui , Cordelia Schmid

Using Kalman techniques, it is possible to perform optimal estimation in linear Gaussian state-space models. We address here the case where the noise probability density functions are of unknown functional form. A flexible Bayesian…

Statistics Theory · Mathematics 2009-11-13 François Caron , Manuel Davy , Arnaud Doucet , Emmanuel Duflos , Philippe Vanheeghe

Integration against a probability distribution given its unnormalized density is a central task in Bayesian inference and other fields. We introduce new methods for approximating such expectations with a small set of weighted samples --…

Machine Learning · Statistics 2026-05-15 Ayoub Belhadji , Daniel Sharp , Youssef M. Marzouk

Augmentation for dense prediction typically relies on either sample mixing or generative synthesis. Mixing improves robustness but misaligned masks yield soft label ambiguity. Diffusion synthesis increases apparent diversity but, when…

Computer Vision and Pattern Recognition · Computer Science 2025-11-06 Pengyu Jie , Wanquan Liu , Rui He , Yihui Wen , Deyu Meng , Chenqiang Gao

We consider estimating the parameters of a Gaussian mixture density with a given number of components best representing a given set of weighted samples. We adopt a density interpretation of the samples by viewing them as a discrete Dirac…

Machine Learning · Statistics 2025-04-03 Daniel Frisch , Uwe D. Hanebeck

In this paper we propose a model with a Dirichlet process mixture of gamma densities in the bulk part below threshold and a generalized Pareto density in the tail for extreme value estimation. The proposed model is simple and flexible…

Machine Learning · Statistics 2013-04-03 Jairo Fuquene

Dirichlet process mixture model (DPMM) is a popular Bayesian nonparametric model. In this paper, we apply this model to weighted data and then estimate the un-weighted distribution from the corresponding weighted distribution using the…

Computation · Statistics 2018-12-12 Soghra Bohlourihajjar , Soleiman Khazaei

Normalizing flows are objects used for modeling complicated probability density functions, and have attracted considerable interest in recent years. Many flexible families of normalizing flows have been developed. However, the focus to date…

Methodology · Statistics 2023-01-18 Tin Lok James Ng , Andrew Zammit-Mangion

Flow matching has emerged as a simulation-free alternative to diffusion-based generative modeling, producing samples by solving an ODE whose time-dependent velocity field is learned along an interpolation between a simple source…

Machine Learning · Statistics 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen Lin

Anomaly detection in medical imaging is to distinguish the relevant biomarkers of diseases from those of normal tissues. Deep supervised learning methods have shown potentials in various detection tasks, but its performances would be…

Image and Video Processing · Electrical Eng. & Systems 2021-12-01 Byungjai Kim , Kinam Kwon , Changheun Oh , Hyunwook Park

Diffusion models approximate the denoising distribution as a Gaussian and predict its mean, whereas flow matching models reparameterize the Gaussian mean as flow velocity. However, they underperform in few-step sampling due to…

Machine Learning · Computer Science 2025-09-03 Hansheng Chen , Kai Zhang , Hao Tan , Zexiang Xu , Fujun Luan , Leonidas Guibas , Gordon Wetzstein , Sai Bi

Multi-contrast MRI protocols increase the level of morphological information available for diagnosis. Yet, the number and quality of contrasts is limited in practice by various factors including scan time and patient motion. Synthesis of…

Image and Video Processing · Electrical Eng. & Systems 2019-09-26 Mahmut Yurt , Salman Ul Hassan Dar , Aykut Erdem , Erkut Erdem , Tolga Çukur

Magnetic resonance imaging (MRI) has greatly advanced neuroscience research and clinical diagnostics. However, imaging data collected across different scanners, acquisition protocols, or imaging sites often exhibit substantial…

Image and Video Processing · Electrical Eng. & Systems 2026-04-02 Qinqin Yang , Firoozeh Shomal-Zadeh , Ali Gholipour

Many machine learning algorithms try to visualize high dimensional metric data in 2D in such a way that the essential geometric and topological features of the data are highlighted. In this paper, we introduce a framework for aggregating…

Machine Learning · Computer Science 2025-03-04 Lukas Silvester Barth , Hannaneh Fahimi , Parvaneh Joharinad , Jürgen Jost , Janis Keck

In numerous applications data are observed at random times and an estimated graph of the spectral density may be relevant for characterizing and explaining phenomena. By using a wavelet analysis, one derives a nonparametric estimator of the…

Statistics Theory · Mathematics 2009-11-27 Jean-Marc Bardet , Pierre Bertrand

Given a sample from a discretely observed compound Poisson process, we consider non-parametric estimation of the density $f_0$ of its jump sizes, as well as of its intensity $\lambda_0.$ We take a Bayesian approach to the problem and…

Statistics Theory · Mathematics 2023-02-27 Shota Gugushvili , Frank van der Meulen , Peter Spreij

We present a novel method for image anomaly detection, where algorithms that use samples drawn from some distribution of "normal" data, aim to detect out-of-distribution (abnormal) samples. Our approach includes a combination of encoder and…

Image and Video Processing · Electrical Eng. & Systems 2020-03-02 Nina Tuluptceva , Bart Bakker , Irina Fedulova , Anton Konushin

Mutual Information (MI) is a crucial measure for capturing dependencies between variables, but exact computation is challenging in high dimensions with intractable likelihoods, impacting accuracy and robustness. One idea is to use an…

Machine Learning · Statistics 2025-03-13 Forough Fazeliasl , Michael Minyi Zhang , Bei Jiang , Linglong Kong

As deep learning models grow in complexity and the volume of training data increases, reducing storage and computational costs becomes increasingly important. Dataset distillation addresses this challenge by synthesizing a compact set of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Zhe Li , Sarah Cechnicka , Cheng Ouyang , Katharina Breininger , Peter Schüffler , Bernhard Kainz

Magnetic resonance imaging (MRI) is the non-invasive modality of choice for body tissue composition analysis due to its excellent soft tissue contrast and lack of ionizing radiation. However, quantification of body composition requires an…

Computer Vision and Pattern Recognition · Computer Science 2018-10-16 Ismail Irmakci , Sarfaraz Hussein , Aydogan Savran , Rita R. Kalyani , David Reiter , Chee W. Chia , Kenneth W. Fishbein , Richard G. Spencer , Luigi Ferrucci , Ulas Bagci