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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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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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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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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The Diffusive Stresses Arising from A Locally Generalized Advection-Diffusion Process by Derya Avcı

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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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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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Three-Phase-Lag Effect on Rayleigh Waves in a Generalized Thermoelastic Diffusion Medium with Modified Couple Stress by Emad K. Jaradat, Sayed M. Abo-Dahab, Rajneesh Kumar, Eslam S. Elidy

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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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A spatio-temporal infection epidemic model with fractional order, general incidence, and vaccination analysis by Sara Soulaimani, Abdelilah Kaddar, Fathalla A. Rihan

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On the solutions of generalized Cauchy differential equations and diffusion equations with k-Hilfer-Prabhakar derivative by Ved Prakash Dubey, Jagdev Singh, Sarvesh Dubey, Dumitru Baleanu, Devendra Kumar

“…Our new generalized solutions of k-HPFD type Cauchy problems and diffusion models may be used to explore fluid mechanics, ocean engineering, and wave phenomena and so on. …”
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The general intelligence of GPT–4, its knowledge diffusive and societal influences, and its governance by Mohammad Mahdi Jahani Yekta

“…Recent breakthroughs in artificial intelligence (AI) research include advancements in natural language processing (NLP) achieved by large language models (LLMs), and; in particular, generative pre–trained transformer (GPT) architectures. …”
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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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Comparison of DKRZ Database and LARS-WG Model in Three Parameters of Minimum Temperature, Maximum Temperature and Precipitation (Case study: Qazvin plain) by Fatemeh Borzoo, Hadi Ramezani Etedali, Abbas Kaviani

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Automatic Generation of Standard Nursing Unit Floor Plan in General Hospital Based on Stable Diffusion by Zhuo Han, Yongquan Chen

“…It includes dataset processing, model training, model testing and generation. It enables the generation of well-organized, clear, and readable functional block floor plans with strong generalization capabilities by inputting the boundaries of the nursing unit’s floor plan. …”
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Stability and Bifurcation Analysis for a Class of Generalized Reaction-Diffusion Neural Networks with Time Delay by Tianshi Lv, Qintao Gan, Qikai Zhu

“…Considering the fact that results for static neural networks are much more scare than results for local field neural networks and our purpose letting the problem researched be more general in many aspects, in this paper, a generalized neural networks model which includes reaction-diffusion local field neural networks and reaction-diffusion static neural networks is built and the stability and bifurcation problems for it are investigated under Neumann boundary conditions. …”
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Numerical analysis of pressure-dependent characteristics of gas diffusion coefficient based on a bidisperse diffusion model by Xiaojun FENG, Shishi DENG, Quanlin LIU, Enyuan WANG

“…The reliability and applicability of the model are further analyzed and discussed. The results show that: ① There is a positive correlation between the diffusion coefficients of large and small pores and the relative gas pressure; ② For the same particle size coal sample, the diffusion coefficient of large pores decreases with the increase of the initial equilibrium pressure, and the diffusion coefficient of small pores increases with the increase of the initial equilibrium pressure, and the change trend is opposite; At the same time, with the decrease of coal particle size, the diffusion coefficients of both large and micro-pores show a decreasing trend; ③ In terms of time and space scale, the diffusion coefficients of large pores and micropores in coal particles gradually decrease with the increase of desorption time, and the decreasing speed gradually slows down under the influence of pressure change, and the diffusion coefficients generally show non-uniform change characteristics; ④ Compared with the traditional bidisperse diffusion analytical model (CBDM), the simulation results of the pressure-dependent bidisperse diffusion model are highly consistent with the experimental data, and the fitting effect is obviously better, which can better reflect the real changes of the diffusion coefficients of large and small holes during the gas diffusion process. …”
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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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