diffusion models

Winding Metastability: a verified research program on metastability of reversible diffusions on the torus

Winding Metastability — documentary release (math-v2.0.2) A documentary release: zero mathematical change. Apart from README.md, CITATION.cff and one appended entry in the operational log (COORDINATION.md entry [123], the record of the math-v2.0.1 release itself), every file of math-v2.0.1 is byte-identical here. One f...

A Bounded Multiscale Stochastic Framework for Cellular and Tissue Aging: Structural Uncertainty, Repair–Damage Control, Intervention Timing, and Falsifiable Predictions

Aging is a multiscale dynamical process in which mitochondrial dysfunction, oxidative burden, genomic instability, transposable-element activity, epigenetic drift, cellular senescence, and chronic inflammation interact through feedback. We develop an auditable stochastic differential-equation framework that represents...

Chemotaxis Guidance of Random Walkers Modeling Self-Wiring of Neural Networks

Abstract A stochastic walker model is proposed to describe the chemotactic guidance of growth cones, which are the tips of developing neurites. The model accounts for the influence of both attractive and repulsive chemical cues, which are emitted by the growth cones and the somas. The system couples stochastic differen...

One- and Two-Particle Spectral Gap Identities for the Symmetric Inclusion Process and Related Models

Abstract The symmetric inclusion process (SIP) models particles diffusing on a graph with mutual attraction. We recently showed [KS24] that, in the log-concave regime (where diffusivity dominates interaction), the spectral gap of the conservative SIP matches that of a single particle. In this paper, our main result dem...

Physiologically Informed Deep Learning: A Multi-scale Framework for Next-Generation PBPK Modeling

Cache-Fused Kinematic Rails: Ex-Ante Silicon Alignment via In-Vivo KV-Cache Metric Grafting

Abstract of Cache-Fused Kinematic Rails: Ex-Ante Silicon Alignment via In-Vivo KV-Cache Metric Grafting Current Large Language Model (LLM) alignment relies primarily on post-hoc, output-level correction mechanisms such as external API meta-governors, Reinforcement Learning from Human Feedback (RLHF), or post-generation...

Technologies Révolutionnaires pour Étendre l'Espérance de Vie et Personnaliser la Médecine

Abstract ENThis document, produced with the assistance of ChatGPT o3 and GPT-5 Thinking, is released under the Apache 2.0 license. It is a voluntary defensive publication (prior art) and therefore enters the prior art upon release under the applicable patent statutes: EPC Art. 54(2) (European Patent Convention), French...

Beyond the Data Paradigm — Freedom Intelligence and the Structural Laws of Navigability

Machine learning's dominant paradigm—whether model-centric or data-centric—treats intelligence as the extraction of statistical patterns from behavioral records. This approach has delivered remarkable engineering feats. Yet something foundational is missing. Data is not reality: it is a finite record of trajectories th...

Optimization of Single-Layer Anti-Reflection Coatings in 3D Crystalline-Silicon Solar Cells: TCAD Simulations and Optical Model

This dataset accompanies the article "Optimization of the Anti-Reflection Coating in 3D Crystalline-Silicon Solar Cells: A Comparative TCAD Study of Five Dielectric Materials" (G. S. Ahathiyan and H. Victor Du John, Karunya Institute of Technology and Sciences, India). It contains the simulation results and analysis fo...

Chenghua Doucai Meiping with Mandarin Ducks among Lotuses

Abstract This paper presents an object-specific visual and microstructural study of a 23 cm porcelain meiping, catalogue no. CH-DU-23-FC-01, decorated with two mandarin ducks among lotus and aquatic plants in the doucai technique. The research archive records a thin translucent porcelain body, a six-character Chenghua...

全球技术普惠的去政治化路径:专利买断—开源—套利驱动的公共品供给模型及农业领域实施方案 Depoliticized Pathways to Global Technology Inclusiveness: A Patent Buyout–Open Source–Arbitrage-Driven Public Goods Supply Model and Implementation Plan for Agriculture

作者:郭洋洋Author: Guo YangyangORCID:0009-0006-6669-1790Contact email:gyy-goes@foxmail.comPublication Type: PreprintSubmission Date: September 27, 2026Version: v1.0 Final Bilingual EditionPreprint DOI: 10.5281/zenodo.22986634Open Access License: CC BY 4.0 摘要 Abstract 当前全球技术治理体系存在双重困境:一方面,专利垄断形...

ChIEDiff: chemistry-gated interaction-energy diffusion for structure-based 3D molecular generation

A pocket-conditioned 3D diffusion model that integrates a chemistry-gated, Vina-derived intermolecular energy into training on predicted clean coordinates, and steers sampling with a learned affinity-head gradient. Includes the evaluation pipeline that regenerates every table in the accompanying manuscript.