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Forecasts of multivariate probability distributions are required for a variety of applications. Scoring rules enable the evaluation of forecast accuracy, and comparison between forecasting methods. We propose a theoretical framework for…

Statistics Theory · Mathematics 2026-01-30 Xiaochun Meng , James W. Taylor , Souhaib Ben Taieb , Siran Li

Statistical tasks such as density estimation and approximate Bayesian inference often involve densities with unknown normalising constants. Score-based methods, including score matching, are popular techniques as they are free of…

Machine Learning · Statistics 2021-12-22 Li K. Wenliang , Heishiro Kanagawa

The wealth of data being gathered about humans and their surroundings drives new machine learning applications in various fields. Consequently, more and more often, classifiers are trained using not only numerical data but also complex data…

Machine Learning · Computer Science 2022-04-13 Maciej Piernik , Dariusz Brzezinski , Pawel Zawadzki

We propose to harness the potential of simulation for the semantic segmentation of real-world self-driving scenes in a domain generalization fashion. The segmentation network is trained without any data of target domains and tested on the…

Computer Vision and Pattern Recognition · Computer Science 2022-08-11 Xiangyu Yue , Yang Zhang , Sicheng Zhao , Alberto Sangiovanni-Vincentelli , Kurt Keutzer , Boqing Gong

Synthetic data generation is increasingly used in machine learning for training and data augmentation. Yet, current strategies often rely on external foundation models or datasets, whose usage is restricted in many scenarios due to policy…

Computer Vision and Pattern Recognition · Computer Science 2025-10-27 Parsa Rahimi , Sebastien Marcel

Reliable assessment of concrete degradation is critical for ensuring structural safety and longevity of engineering structures. This study proposes a self-supervised domain adaptation framework for robust concrete damage classification…

Computational Engineering, Finance, and Science · Computer Science 2025-12-01 Chen Xu , Giao Vu , Ba Trung Cao , Zhen Liu , Fabian Diewald , Yong Yuan , Günther Meschke

A common challenge in estimating parameters of probability density functions is the intractability of the normalizing constant. While in such cases maximum likelihood estimation may be implemented using numerical integration, the approach…

Methodology · Statistics 2018-02-20 Shiqing Yu , Mathias Drton , Ali Shojaie

Selectivity estimation aims at estimating the number of database objects that satisfy a selection criterion. Answering this problem accurately and efficiently is essential to many applications, such as density estimation, outlier detection,…

Databases · Computer Science 2021-05-28 Yaoshu Wang , Chuan Xiao , Jianbin Qin , Rui Mao , Onizuka Makoto , Wei Wang , Rui Zhang , Yoshiharu Ishikawa

The Dice score is widely used for binary segmentation due to its robustness to class imbalance. Soft generalisations of the Dice score allow it to be used as a loss function for training convolutional neural networks (CNN). Although CNNs…

Computer Vision and Pattern Recognition · Computer Science 2018-02-27 Lucas Fidon , Wenqi Li , Luis C. Garcia-Peraza-Herrera , Jinendra Ekanayake , Neil Kitchen , Sebastien Ourselin , Tom Vercauteren

Modes and ridges of the probability density function behind observed data are useful geometric features. Mode-seeking clustering assigns cluster labels by associating data samples with the nearest modes, and estimation of density ridges…

Machine Learning · Statistics 2018-04-03 Hiroaki Sasaki , Takafumi Kanamori , Aapo Hyvärinen , Gang Niu , Masashi Sugiyama

One way of characterizing the topological and structural properties of vertices and edges in a graph is by using structural similarity measures. Measures like Cosine, Jaccard and Dice compute the similarities restricted to the immediate…

Social and Information Networks · Computer Science 2018-05-04 Eduar Castrillo , Elizabeth León , Jonatan Gómez

Traditional methods for matching in causal inference are impractical for high-dimensional datasets. They suffer from the curse of dimensionality: exact matching and coarsened exact matching find exponentially fewer matches as the input…

Machine Learning · Statistics 2026-02-12 Oscar Clivio , Fabian Falck , Brieuc Lehmann , George Deligiannidis , Chris Holmes

Graphical models are widely used to model stochastic dependences among large collections of variables. We introduce a new method of estimating undirected conditional independence graphs based on the score matching loss, introduced by…

Methodology · Statistics 2016-03-24 Lina Lin , Mathias Drton , Ali Shojaie

We study the problem of estimating the score function using both implicit score matching and denoising score matching. Assuming that the data distribution exhibiting a low-dimensional structure, we prove that implicit score matching is able…

Statistics Theory · Mathematics 2026-01-01 Konstantin Yakovlev , Anna Markovich , Nikita Puchkin

This paper introduces a novel synthetic dataset that captures urban scenes under a variety of weather conditions, providing pixel-perfect, ground-truth-aligned images to facilitate effective feature alignment across domains. Additionally,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Javier Montalvo , Roberto Alcover-Couso , Pablo Carballeira , Álvaro García-Martín , Juan C. SanMiguel , Marcos Escudero-Viñolo

Uncertainty associated with statistical problems arises due to what has not been seen as opposed to what has been seen. Using probability to quantify the uncertainty the task is to construct a probability model for what has not been seen…

Methodology · Statistics 2025-01-06 Fuheng Cui , Stephen G. Walker

Traditional problems in computational geometry involve aspects that are both discrete and continuous. One such example is nearest-neighbor searching, where the input is discrete, but the result depends on distances, which vary continuously.…

Computational Geometry · Computer Science 2023-08-21 Ahmed Abdelkader , David M. Mount

When observations are truncated, we are limited to an incomplete picture of our dataset. Recent methods propose to use score matching for truncated density estimation, where the access to the intractable normalising constant is not…

Methodology · Statistics 2024-04-15 Daniel J. Williams , Song Liu

Humans perform co-saliency detection by first summarizing the consensus knowledge in the whole group and then searching corresponding objects in each image. Previous methods usually lack robustness, scalability, or stability for the first…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Ni Zhang , Junwei Han , Nian Liu , Ling Shao

Score diffusion methods can learn probability densities from samples. The score of the noise-corrupted density is estimated using a deep neural network, which is then used to iteratively transport a Gaussian white noise density to a target…

Computer Vision and Pattern Recognition · Computer Science 2024-10-16 Zahra Kadkhodaie , Stéphane Mallat , Eero P. Simoncelli