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In this paper, we consider a rather general linear evolution equation of fractional type, namely a diffusion type problem in which the diffusion operator is the $s$th power of a positive definite operator having a discrete spectrum in…

Analysis of PDEs · Mathematics 2016-06-09 Jürgen Sprekels , Enrico Valdinoci

This work proposes a novel channel estimator based on diffusion models (DMs), one of the currently top-rated generative models. Contrary to related works utilizing generative priors, a lightweight convolutional neural network (CNN) with…

Signal Processing · Electrical Eng. & Systems 2024-03-07 Benedikt Fesl , Michael Baur , Florian Strasser , Michael Joham , Wolfgang Utschick

The goal in network state prediction (NSP) is to classify the global state (label) associated with features embedded in a graph. This graph structure encoding feature relationships is the key distinctive aspect of NSP compared to classical…

Machine Learning · Computer Science 2019-04-02 Lin Zhang , Petko Bogdanov

The inverse design of metasurfaces faces inherent challenges due to the nonlinear and highly complex relationship between geometric configurations and their electromagnetic behavior. Traditional optimization approaches often suffer from…

The high cost and accessibility problem associated with large datasets hinder the development of large-scale visual recognition systems. Dataset Distillation addresses these problems by synthesizing compact surrogate datasets for efficient…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Tongfei Liu , Yufan Liu , Bing Li , Weiming Hu

Networks are abundant in the life sciences. Outstanding challenges include how to characterize similarities between networks, and in extension how to integrate information across networks. Yet, network alignment remains a core algorithmic…

Quantitative Methods · Quantitative Biology 2020-07-13 Sisi Qu , Mengmeng Xu , Bernard Ghanem , Jesper Tegner

Diffusion models have demonstrated powerful performance in generating high-quality images. A typical example is text-to-image generator like Stable Diffusion. However, their widespread use also poses potential privacy risks. A key concern…

Computer Vision and Pattern Recognition · Computer Science 2026-04-20 Guo Li , Weihong Chen , Yongfu Fan

Deep Neural Networks (DNNs) have recently shown state of the art performance on semantic segmentation tasks, however, they still suffer from problems of poor boundary localization and spatial fragmented predictions. The difficulties lie in…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Peng Jiang , Fanglin Gu , Yunhai Wang , Changhe Tu , Baoquan Chen

Due to the vast address space of IPv6, the brute-force scanning methods originally applicable to IPv4 are no longer suitable for proactive scanning of IPv6. The recently proposed target generation algorithms have a low hit rate for existing…

Networking and Internet Architecture · Computer Science 2024-12-30 Nabo He , DanDan Li , Xiaohong Huang

The task of steel surface defect recognition is an industrial problem with great industry values. The data insufficiency is the major challenge in training a robust defect recognition network. Existing methods have investigated to enlarge…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Yichun Tai , Kun Yang , Tao Peng , Zhenzhen Huang , Zhijiang Zhang

Evolving networks are more widely existed in real world than static networks, and studying their statistical characteristics is vital to recognize and explore them further. But for the networks with nodes preferential deletion, there are…

Dynamical Systems · Mathematics 2023-04-04 YueXiao , Xiaojun Zhang

Diffusion-based models have achieved notable empirical successes in reinforcement learning (RL) due to their expressiveness in modeling complex distributions. Despite existing methods being promising, the key challenge of extending existing…

Machine Learning · Computer Science 2024-11-04 Dmitry Shribak , Chen-Xiao Gao , Yitong Li , Chenjun Xiao , Bo Dai

The intersection between classical data assimilation methods and novel machine learning techniques has attracted significant interest in recent years. Here we explore another promising solution in which diffusion models are used to…

Mathematical Physics · Physics 2024-04-02 Feng Bao , Hristo G. Chipilski , Siming Liang , Guannan Zhang , Jeffrey S. Whitaker

We consider a decision maker who must choose an action in order to maximize a reward function that depends also on an unknown parameter {\Theta}. The decision maker can delay taking the action in order to experiment and gather additional…

Machine Learning · Statistics 2021-06-22 Victor F. Araman , Rene Caldentey

Conventional diffusion models typically relies on a fixed forward process, which implicitly defines complex marginal distributions over latent variables. This can often complicate the reverse process' task in learning generative…

Machine Learning · Statistics 2025-06-10 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

One major branch of saliency object detection methods is diffusion-based which construct a graph model on a given image and diffuse seed saliency values to the whole graph by a diffusion matrix. While their performance is sensitive to…

Computer Vision and Pattern Recognition · Computer Science 2020-01-20 Peng Jiang , Zhiyi Pan , Nuno Vasconcelos , Baoquan Chen , Jingliang Peng

Diffusion models (DMs) have proven to be effective in modeling high-dimensional distributions, leading to their widespread adoption for representing complex priors in Bayesian inverse problems (BIPs). However, current DM-based posterior…

Machine Learning · Computer Science 2025-06-06 Haoxuan Chen , Yinuo Ren , Martin Renqiang Min , Lexing Ying , Zachary Izzo

The escalating sophistication of cyberattacks has encouraged the integration of machine learning techniques in intrusion detection systems, but the rise of adversarial examples presents a significant challenge. These crafted perturbations…

Cryptography and Security · Computer Science 2024-06-26 Mohamed Amine Merzouk , Erwan Beurier , Reda Yaich , Nora Boulahia-Cuppens , Frédéric Cuppens

Longitudinal Dispersion(LD) is the dominant process of scalar transport in natural streams. An accurate prediction on LD coefficient(Dl) can produce a performance leap in related simulation. The emerging machine learning(ML) techniques…

Geophysics · Physics 2021-07-28 Yifeng Zhao , Pei Zhang , S. A. Galindo-Torres , Stan Z. Li

Code generation is increasingly critical for real-world applications. Still, diffusion-based large language models continue to struggle with this demand. Unlike free-form text, code requires syntactic precision; even minor structural…

Computation and Language · Computer Science 2026-01-07 Yiming Zeng , Jinghan Cao , Zexin Li , Yiming Chen , Tao Ren , Zhuochun Li , Dawei Xiang , Xidong Wu , Shangqian Gao , Tingting Yu
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