diffusion models

Multiphase Cross-diffusion models for tissue structures: modeling, analysis, numerics

Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The equations include Maxwell–Stefan, tumor-growth, thin-film solar cell models as well as...

Matched Filter-Based Molecule Source Localization in Advection-Diffusion-Driven Pipe Networks with Known Topology

Synthetic molecular communication (MC) has emerged as a powerful framework for modeling, analyzing, and designing communication systems where information is encoded into properties of molecules. Among the envisioned applications of MC is the localization of molecule sources in pipe networks (PNs) like the human cardiov...

Kinetic interacting particle Langevin Monte Carlo

Abstract This paper introduces and analyses interacting underdamped Langevin algorithms, termed Kinetic Interacting Particle Langevin Monte Carlo (KIPLMC) methods, for statistical inference in latent variable models. We propose a diffusion process that evolves jointly in the space of parameters and latent variables and...

Editorial: Exploring neuropsychiatric disorders through multimodal MRI: network analysis, biomarker discovery, and clinical insights

The research included in this Research Topic span a broad range of conditions, including neurodevelopmental disorders, psychiatric disorders, neurodegenerative diseases, infection-related brain injury, pain-related disorders, disorders of consciousness, and spinal disorders affecting the nervous system. Despite the div...

CoTAR: Topology and Atomic State Reconstruction in Condensed Phases

Abstract Universal machine learning interatomic potentials (uMLIPs) enable performing condensed-phase molecular dynamics (MD) simulations with accuracy approaching that of first-principles; however, their lack of explicit molecular topology limits bond-aware analysis and reconnection to classical force fields. This stu...

Unlocking Programmable and Creative RNA Sequence Design with RDiffusion

Model Inversion Attacks Through Target-Specific Conditional Diffusion Models

Model inversion attacks (MIAs) aim to reconstruct private images from a target classifier's training set, thereby raising privacy concerns in AI applications. Previous GAN-based MIAs tend to suffer from inferior generative fidelity due to GANs’ inherent flaws and biased optimization within the latent space. To alleviat...

Conditional diffusion model with residual decomposition generation strategy for SAR to optical image translation

The Thermodynamics of Neural Optimization: Critical Surfing, Persistent Individual Ballistic Flow, and the Kinematic Rail

The Thermodynamics of Neural Optimization: Critical Surfing, Persistent Individual Ballistic Flow, and the Kinematic Rail Cognitive Operating System Author: Daniel SolisAffiliation: Founder & Lead Researcher, Dubito Inc. / Cognitive Constitution ProjectContact: solis@dubito-ergo.comCredentials: NVIDIA Inception Program...

Macroscopic Quantum Hydrodynamics: Transitioning to Deterministic Continuum Mechanics and the Scale-Invariance of the Superfluid Vacuum

This monograph provides a deterministic, hydrodynamic foundation for Quantum Mechanics, replacing the probabilistic abstractions of the Copenhagen interpretation. By redefining the cosmic vacuum as a tangible, compressible Bose-Einstein Condensate (BEC), the abstract Schrödinger equation is mathematically mapped direct...

Mathematical derivation of the Heutschi constant (𝒙_TP ≈ 25,51 %)

Analytical Derivation of the Tipping Point Based on Diffusion Theory & Kinetic Jerk Dr. Theodor Heutschi Diffusion Theory & Kinetic Jerk j(t) = (d³N)/dt³ Date: 2012 Mathematical derivation of the Heutschi constant (𝒙_TP ≈ 25,51 %) Analytical Derivation of the Tipping Point Based on Diffusion Theory & Kinetic Jerk 1. Fu...

Data and code related to the publication "Recovering membrane interaction kinetics of single molecules from 3D tracking data" by Lundin et al.

This repository contains analysis code related to the manuscript "Recovering membrane interaction kinetics of single molecules from 3D tracking data" by Lundin et al. (2026) Biophysical JournalAbstractInteractions between cytosolic biomolecules and the bacterial inner membrane are fundamental to many cellular processes...