Anomalous Diffusion Models Involving Regularized General Fractional Derivatives with Sonin Kernels by Maryam Alkandari, Dimitri Loutchko, Yuri Luchko

“…Next, we derive a fractional diffusion equation involving regularized general fractional derivatives with Sonin kernels from the continuous time random walk model in the asymptotical sense of long times and large distances. …”
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Toward Artificial General Intelligence in Hydrogeological Modeling With an Integrated Latent Diffusion Framework by Chuanjun Zhan, Zhenxue Dai, Jiu Jimmy Jiao, Mohamad Reza Soltanian, Huichao Yin, Kenneth C. Carroll

“…Its generalization across diverse objectives underscores its potential as a cornerstone for advancing Artificial General Intelligence in hydrogeological modeling.…”
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Dynamics of a Diffusive Predator-Prey Model with General Nonlinear Functional Response by Wensheng Yang

“…We study a diffusive predator-prey model with nonconstant death rate and general nonlinear functional response. …”
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The Diffusion-Driven Instability for a General Time-Space Discrete Host-Parasitoid Model by Xuetian Zhang, Chunrui Zhang

“…In this paper, we consider a general time-space discrete host-parasitoid model with the periodic boundary conditions. …”
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BCDDM: Branch Correction Denoising Diffusion Model for Black Hole Image Generation by Ao Liu, Zelin Zhang, Songbai Chen, Cuihong Wen, Jieci Wang

“…This paper introduces the Branch Correction Denoising Diffusion Model (BCDDM), a deep learning framework that synthesizes black hole images directly from physical parameters. …”
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An advection–diffusion equation with a generalized advection term: Well-posedness analysis and examples by Tetyana Malysheva, Luther W. White

“…We consider a Cauchy–Dirichlet problem for a semilinear advection–diffusion equation with a generalized advection term. …”
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Traveling waves in a delayed reaction-diffusion SVIR epidemic model with generalized incidence function and imperfect vaccination by Rassim Darazirar

“…This paper is concerned with traveling wave solutions for a delayed reaction-diffusion SVIR epidemic model that includes both general incidence function and imperfect vaccination. …”
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Improving AI models for rare thyroid cancer subtype by text guided diffusion models by Fang Dai, Siqiong Yao, Min Wang, Yicheng Zhu, Xiangjun Qiu, Peng Sun, Cheng Qiu, Jisheng Yin, Guangtai Shen, Jingjing Sun, Maofeng Wang, Yun Wang, Zheyu Yang, Jianfeng Sang, Xiaolei Wang, Fenyong Sun, Wei Cai, Xingcai Zhang, Hui Lu

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DIFshilling: A Diffusion Model for Shilling Attacks by Weizhi Chen, Xingkong Ma, Bo Liu

“…Many current approaches either fail to capture the natural distribution of real user data or are highly tailored to specific RS algorithms, limiting their general applicability and effectiveness. To overcome these limitations, we propose DIFshilling, a novel diffusion-based model for shilling attacks. …”
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A survey of emerging applications of diffusion probabilistic models in MRI by Yuheng Fan, Hanxi Liao, Shiqi Huang, Yimin Luo, Huazhu Fu, Haikun Qi

“…Diffusion probabilistic models (DPMs) which employ explicit likelihood characterization and a gradual sampling process to synthesize data, have gained increasing research interest. …”
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A spatio-temporal infection epidemic model with fractional order, general incidence, and vaccination analysis by Sara Soulaimani, Abdelilah Kaddar, Fathalla A. Rihan

Subjects: “…Spatio-temporal SEIR epidemic model…”
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'Traveling wave'' solutions of Fitzhugh model with cross-diffusion by F. Berezovskaya, Erika Camacho, Stephen Wirkus, Georgy Karev

“…The FitzHugh-Nagumo equations have been used as a caricatureof the Hodgkin-Huxley equations of neuron FIring and to capture, qualitatively,the general properties of an excitable membrane. In this paper, we utilizea modified version of the FitzHugh-Nagumo equations to model the spatialpropagation of neuron firing; we assume that this propagation is (at least,partially) caused by the cross-diffusion connection between the potential andrecovery variables. …”
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Automatic Timbre Transformation Using Enhanced Diffusion Model by Cheng-Han Wu, Pimpa Cheewaprakobkit, Timothy K. Shih, Yu-Cheng Lin, Bing-Ze Liu

“…We present a novel timbre transfer model that uses an enhanced diffusion architecture to convert music from various instruments into Erhu timbre. …”
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Biosorption and Diffusion Modeling of Pb(II) by Malt Bagasse by Klaiani B. Fontana, Giane Gonçalves Lenzi, Erica R. L. R. Watanabe, Ervin Kaminski Lenzi, Juliana A. M. T. Pietrobelli, Eduardo S. Chaves

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Synthbuster: Towards Detection of Diffusion Model Generated Images by Quentin Bammey

“…The proposed method can detect diffusion-model-generated images even under mild <sc>jpeg</sc> compression, and generalizes relatively well to unknown models. …”
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A diffusion model for universal medical image enhancement by Ben Fei, Yixuan Li, Weidong Yang, Hengjun Gao, Jingyi Xu, Lipeng Ma, Yatian Yang, Pinghong Zhou

“…Existing approaches for natural image enhancement are mostly trained with numerous paired images, presenting challenges in data collection and training costs, all while lacking the ability to generalize effectively. Methods Here, we introduce a pioneering training-free Diffusion Model for Universal Medical Image Enhancement, named UniMIE. …”
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Information-Theoretic Security of RIS-Aided MISO System Under <i>N</i>-Wave with Diffuse Power Fading Model by José David Vega-Sánchez, Ana Zambrano, Ricardo Mena, José Oscullo

“…This general framework allows us to accurately approximate key practical factors in RIS’s channel modeling, such as generalized fading conditions, spatial correlation, discrete phase shift, beamforming, and the presence of direct and indirect links. …”
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The Diffusive Stresses Arising from A Locally Generalized Advection-Diffusion Process by Derya Avcı

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Establishment and Solution for a Mathematical Model of Multiple Diffuse Reflection by Zhenmin Zhu, Xin Xu, Xiang Sun, Xinyun Wang

“…On the basis of the Lambertian characteristic of LEDs and the ideal diffuse surface, a design method that features a multiple diffuse reflectance freeform surface is proposed and its related mathematical model is established in this paper. …”
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Influence diffusion model based on affinity of dynamic social network by Yun-fang CHEN, Tao XIA, Wei ZHANG, Jin LI

“…Recently,influence maximization model is a hot issue in the field of social network influence,while the traditional independent cascade model is generally based on static network with a fixed value of activation probability.DDIC model,which was a dynamic network influence diffusion model with attenuation factor was proposed.It calculated the activation probability between nodes via affinity propagation,and according with dynamic segmentation of social network time slice,calculation of influence on proliferation of next time slice with the current time slice of activation probability performance decay.The experimental results show that the nodes in the DDIC model have more chances to active the neighbor and the average probability of activing of the DDIC model is higher.Further experiments show that influence value via computing with affinity propagation can reflect the process of the spread model more accurately.…”
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