Prompt Description

Generate a high-quality BioRender-style graphical abstract. We need to first deconstruct the key scientific elements of the abstract, transform them into visual language, and then write prompts for AI drawing tools (such as Midjourney, DALL-E 3, Stable Diffusion). ### Part 1: In-depth Abstract Analysis and Visual Decomposition The core logical flow of this paper is as follows: 1. **Background/Input:** * **Object:** Complex Systems, specifically epileptic seizures. * **Features:** High-dimensional data, hidden critical signals. * *Visual elements:* Brain outline, EEG electrode cap, chaotic and dense multi-channel waveform diagram (representing high-dimensional noise data). 2. **Method I - Manifold Learning:** * **Core Technology:** Anisotropic Diffusion Mapping (ADM). * **Purpose:** Construct low-dimensional representations. * *Visual elements:* A funnel-shaped or projection-like graphic that maps the chaotic waveform on the left to a smooth, curved 3D surface (manifold). 3. **Method II - SDE Modeling:** * **Core Technology:** Data-driven stochastic differential equations (SDE), score function, probability density evolution. * *Visual elements:* Arrows or particle flow flowing on the manifold surface, representing the state evolution of the system; or a heat map/cloud moving on the surface. 4. **The Novel Indicator:** * **Theory:** Schrödinger Bridge Theory. * **Indicator Name:** Entropy Production Rate (EP).