diffusion models

Entropic Optimal Transport Eigenmaps for Nonlinear Alignment and Joint Embedding of High-Dimensional Datasets

Abstract. Embedding high-dimensional data into a low-dimensional space is an indispensable component of data analysis. In numerous applications, it is necessary to align and jointly embed multiple datasets from different studies or experimental conditions. Such datasets may share underlying structures of interest but e...

MR Cytometry of Microstructural Changes in Breast Cancer: Association With Treatment Response and Prognosis

ABSTRACT Background Although MR cytometry can probe microstructural features, the longitudinal trajectories of these changes during neoadjuvant chemotherapy (NAC) and their association with treatment response and prognosis remain poorly defined. Purpose To characterize longitudinal changes in NAC‐associated cellular mi...

On the Geometry of Fractal Prime Structures: Adèlic Spectral Regularization, Multi-Scale Coercivity, and Physical Manifestations

We construct an operator-theoretic framework demonstrating that the distribution of prime-gap fluctuations and scale-invariant geometric networks can be analyzed as dual manifestations of an underlying adèlic spectral geometry. By formulating dilation flows over the adèle class space \mathbb{X} = \mathbb{A}_{\mathbb{Q}...

A Fluctuating Lattice Boltzmann Model with Independent Directional Stochastic Fluctuations for Brownian Motion

Abstract Accurate simulation of Brownian motion is essential for understanding particle dynamics at micro- and nanoscales. The fluctuating lattice Boltzmann method provides a mesoscopic framework for modeling thermal fluctuations, but conventional formulations impose identical fluctuations on opposite lattice direction...

Corrigendum to “Single-stage signal Attenuation Diffusion Model for Low-Light Image Enhancement and denoising” [Pattern Recognition 183 (2027) 114918]

FDCL Part VIII: Hierarchical Networks and Feedback Control in FDCL Models — Exact Routing, Stability and Observation Conditions

We develop explicit network, routing and feedback models motivated by FDCL geometry. Core–branch reductions preserve optimal congestion, while joint routing and capacity allocation on a general graph reduce to weighted shortest paths. A weighted graph field has an exact diffusion threshold including coupling to null mo...

FDCL Part III: Resistance and Diffusion on FDCL Graphs — Exact Flows and Harmonic Reduction

We study resistance and diffusion on graph models associated with the six-digit FDCL construction. For the voxel graph, an explicit optimizing current gives the exact resistance between shorted horizontal faces. An orthogonal load decomposition and corrected planar currents prove that the prescribed uniform-face resist...

Can multimodal large language models evaluate AI-generated industrial design images? An empirical comparison with human expert assessment

Text-to-image (T2I) generation models are increasingly used in industrial design, but assessing the quality of their outputs still depends on slow, small-scale human expert review, which constrains the automation advantage of generative AI and hinders its adoption in this domain. This paper empirically examines whether...

Electrically Gated Carrier‐Dynamic Control of High‐ Q Dark Modes in Silicon‐Integrated Terahertz Metasurfaces

ABSTRACT Electrically tunable terahertz metasurfaces are promising for dynamic filtering, switching, sensing, and imaging, yet their operation is often described phenomenologically without a quantitative link between carrier transport and resonant electromagnetic response. Here, we report a silicon‐integrated terahertz...

Does Workplace Diversity Boost Team Performance? A PLS-SEM Analysis of Innovation as a Mediator in Nepal's Banking Sector

Background: Workplace diversity can broaden teams' knowledge and perspectives, but its benefits depend on how differences become new ideas. Evidence on this mechanism in Nepal's banking sector remains limited. Purpose: This study examines how gender, religious, and educational diversity influence innovation and team pe...

Iconicity and Age Make Distinct Contributions to Symbolic Correspondence in Early Childhood

Iconicity has been proposed to support children’s symbolic understanding, yet it remains unclear when iconicity contributes to symbolic correspondence and how this contribution varies across early childhood. The present study examined semantic judgments in 204 Chinese preschool children (Mage = 5.36 years, SD = 0.78; 1...

Surface-Aware Generative Design of Selective Inhibitors for Protein–Membrane Adsorption

Peripheral membrane proteins (PMPs) bind membrane surfaces through interfacial binding sites (IBSs) that are critical for stable membrane association and proper orientation of catalytic active sites. Dysregulated PMP–membrane interactions can enhance catalytic activity and contribute to diseases including cancer, but m...