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Score-based generative modelling (SGM) has proven to be a very effective method for modelling densities on finite-dimensional spaces. In this work we propose to extend this methodology to learn generative models over functional spaces. To…

In this paper, we propose a semantic communication approach based on probabilistic graphical model (PGM). The proposed approach involves constructing a PGM from a training dataset, which is then shared as common knowledge between the…

Machine Learning · Computer Science 2024-08-09 Haowen Wan , Qianqian Yang , Jiancheng Tang , Zhiguo shi

We show that a collection of Gaussian mixture models (GMMs) in $R^{n}$ can be optimally classified using $O(n)$ neurons in a neural network with two hidden layers (deep neural network), whereas in contrast, a neural network with a single…

Machine Learning · Computer Science 2019-02-18 Shirin Jalali , Carl Nuzman , Iraj Saniee

Casting neural networks in generative frameworks is a highly sought-after endeavor these days. Contemporary methods, such as Generative Adversarial Networks, capture some of the generative capabilities, but not all. In particular, they lack…

Machine Learning · Computer Science 2018-03-28 Or Sharir , Ronen Tamari , Nadav Cohen , Amnon Shashua

Semantic segmentation is a computer vision task where classification is performed at a pixel level. Due to this, the process of labeling images for semantic segmentation is time-consuming and expensive. To mitigate this cost there has been…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Javier Montalvo , Álvaro García-Martín , Pablo Carballeira , Juan C. SanMiguel

This paper investigates Gaussian copula mixture models (GCMM), which are an extension of Gaussian mixture models (GMM) that incorporate copula concepts. The paper presents the mathematical definition of GCMM and explores the properties of…

Machine Learning · Computer Science 2023-05-25 Ke Wan , Alain Kornhauser

Data valuation plays a crucial role in machine learning. Existing data valuation methods, mainly focused on discriminative models, overlook generative models that have gained attention recently. In generative models, data valuation measures…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Jiaxi Yang , Wenglong Deng , Benlin Liu , Yangsibo Huang , James Zou , Xiaoxiao Li

Self-supervised representation learning for visual pre-training has achieved remarkable success with sample (instance or pixel) discrimination and semantics discovery of instance, whereas there still exists a non-negligible gap between…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Xiaoni Li , Yu Zhou , Yifei Zhang , Aoting Zhang , Wei Wang , Ning Jiang , Haiying Wu , Weiping Wang

Distributed Gaussian process (DGP) is a popular approach to scale GP to big data which divides the training data into some subsets, performs local inference for each partition, and aggregates the results to acquire global prediction. To…

Machine Learning · Computer Science 2022-02-08 Hamed Jalali , Gjergji Kasneci

Deep generative models have significantly advanced medical imaging analysis by enhancing dataset size and quality. Beyond mere data augmentation, our research in this paper highlights an additional, significant capacity of deep generative…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Xiaodan Xing , Junzhi Ning , Yang Nan , Guang Yang

Graphical Transformation Models (GTMs) are introduced as a novel approach to effectively model multivariate data with intricate marginals and complex dependency structures semiparametrically, while maintaining interpretability through the…

Methodology · Statistics 2025-08-28 Matthias Herp , Johannes Brachem , Michael Altenbuchinger , Thomas Kneib

The pre-trained text-image discriminative models, such as CLIP, has been explored for open-vocabulary semantic segmentation with unsatisfactory results due to the loss of crucial localization information and awareness of object shapes.…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Jinglong Wang , Xiawei Li , Jing Zhang , Qingyuan Xu , Qin Zhou , Qian Yu , Lu Sheng , Dong Xu

Probabilistic graphical models (PGMs) are powerful tools for representing statistical dependencies through graphs in high-dimensional systems. However, they are limited to pairwise interactions. In this work, we propose the simplicial…

Machine Learning · Statistics 2025-10-16 Lorenzo Marinucci , Gabriele D'Acunto , Paolo Di Lorenzo , Sergio Barbarossa

Many real world categories are multimodal, with single classes occupying disjoint regions in feature space. Classical linear models (logistic regression, linear SVM) use a single global hyperplane and perform poorly on such data, while…

Machine Learning · Computer Science 2025-09-23 Prasanth K K , Shubham Sharma

Semantic composition remains an open problem for vector space models of semantics. In this paper, we explain how the probabilistic graphical model used in the framework of Functional Distributional Semantics can be interpreted as a…

Computation and Language · Computer Science 2017-09-04 Guy Emerson , Ann Copestake

With the increase in the number of image data and the lack of corresponding labels, weakly supervised learning has drawn a lot of attention recently in computer vision tasks, especially in the fine-grained semantic segmentation problem. To…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Ke Zhang , Sihong Chen , Qi Ju , Yong Jiang , Yucong Li , Xin He

Weakly supervised semantic segmentation aims to achieve pixel-level predictions using image-level labels. Existing methods typically entangle semantic recognition and object localization, which often leads models to focus exclusively on…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Qingze He , Fagui Liu , Dengke Zhang , Qingmao Wei , Quan Tang

Diffusion models have achieved great progress in face generation. However, these models amplify the bias in the generation process, leading to an imbalance in distribution of sensitive attributes such as age, gender and race. This paper…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Basudha Pal , Arunkumar Kannan , Ram Prabhakar Kathirvel , Alice J. O'Toole , Rama Chellappa

Training convolutional networks for semantic segmentation with strong (per-pixel) and weak (per-bounding-box) supervision requires a large amount of weakly labeled data. We propose two methods for selecting the most relevant data with weak…

Computer Vision and Pattern Recognition · Computer Science 2019-07-17 Panagiotis Meletis , Rob Romijnders , Gijs Dubbelman

Semi-supervised semantic segmentation involves assigning pixel-wise labels to unlabeled images at training time. This is useful in a wide range of real-world applications where collecting pixel-wise labels is not feasible in time or cost.…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Jianfeng Wang , Daniela Massiceti , Xiaolin Hu , Vladimir Pavlovic , Thomas Lukasiewicz