+
Complete System Architecture
+
+ This comprehensive diagram shows all major components and their relationships in the NeuroFlow system.
+
+
+
+graph TB
+ %% Data Generation Layer
+ subgraph "๐ Data Generation & Preparation"
+ A1[Triple-Point Data Generator]
+ A2[Synthetic Dataset Creation]
+ A3[DataLoader Preparation]
+ A4[MNIST Dataset Loading]
+
+ A1 --> A2
+ A2 --> A3
+ A4 --> A3
+ end
+
+ %% Neural Network Architecture
+ subgraph "๐ง Neural Network Architecture"
+ B1[SimpleNet Definition]
+ B2[Conv2d Layers]
+ B3[FC Layers: fc1, fc2]
+ B4[Output Layer]
+ B5[Model Initialization]
+
+ B1 --> B2
+ B1 --> B3
+ B1 --> B4
+ B5 --> B1
+ end
+
+ %% NeuroFlow Engine System
+ subgraph "๐ NeuroFlow Engine System"
+ C1[NeuroFlowEngine]
+ C2[ActivationRecorder]
+ C3[ChainMapHomology]
+ C4[DMDFlowAnalyzer]
+ C5[GraphConstructor]
+ C6[SpectralAnalyzer]
+ C7[LNNResidualEvaluator]
+ C8[CatastropheDetector]
+
+ C1 --> C2
+ C1 --> C3
+ C1 --> C4
+ C1 --> C5
+ C1 --> C6
+ C1 --> C7
+ C1 --> C8
+ end
+
+ %% Analysis Components
+ subgraph "๐ฌ Analysis Components"
+ E1[Homology Loss Analysis]
+ E2[DMD Flow Analysis]
+ E3[Spectral Analysis]
+ E4[Turbulence Computation]
+ E5[Dead Zone Detection]
+ E6[Catastrophe Mapping]
+
+ E1 --> E5
+ E2 --> E4
+ E3 --> E6
+ E4 --> E6
+ E5 --> E6
+ end
+
+ %% Adversarial Attack System
+ subgraph "โ๏ธ Extended Adversarial Arsenal"
+ F1[ExtendedAdversarialArsenal]
+ F2[FGSM Attack]
+ F3[PGD Attack]
+ F4[BIM Attack]
+ F5[MI-FGSM Attack]
+ F6[C&W Attack]
+ F7[DeepFool Attack]
+ F8[JSMA Attack]
+ F9[Square Attack]
+
+ F1 --> F2
+ F1 --> F3
+ F1 --> F4
+ F1 --> F5
+ F1 --> F6
+ F1 --> F7
+ F1 --> F8
+ F1 --> F9
+ end
+
+ %% Visualization System
+ subgraph "๐ Visualization & Analysis"
+ G1[PCA Transformation]
+ G2[Turbulence Landscape]
+ G3[Attack Trajectory Analysis]
+ G4[3D Visualization]
+ G5[2D Contour Plots]
+ G6[Statistical Analysis]
+
+ G1 --> G2
+ G2 --> G3
+ G3 --> G4
+ G3 --> G5
+ G3 --> G6
+ end
+
+ %% Flow Connections
+ A3 --> B5
+ B5 --> C1
+ C1 --> E1
+ E1 --> F1
+ F1 --> G1
+
+ %% Styling
+ classDef dataClass fill:#e1f5fe,stroke:#01579b,stroke-width:2px
+ classDef neuralClass fill:#f3e5f5,stroke:#4a148c,stroke-width:2px
+ classDef engineClass fill:#e8f5e8,stroke:#1b5e20,stroke-width:2px
+ classDef analysisClass fill:#fce4ec,stroke:#880e4f,stroke-width:2px
+ classDef attackClass fill:#ffebee,stroke:#b71c1c,stroke-width:2px
+ classDef vizClass fill:#f1f8e9,stroke:#33691e,stroke-width:2px
+
+ class A1,A2,A3,A4 dataClass
+ class B1,B2,B3,B4,B5 neuralClass
+ class C1,C2,C3,C4,C5,C6,C7,C8 engineClass
+ class E1,E2,E3,E4,E5,E6 analysisClass
+ class F1,F2,F3,F4,F5,F6,F7,F8,F9 attackClass
+ class G1,G2,G3,G4,G5,G6 vizClass
+
+
+
+
Detailed Flow Analysis
+
+ This flowchart shows the step-by-step execution flow of the NeuroFlow demonstration.
+
+
+
+flowchart LR
+ %% Main Process Flow
+ subgraph "Main Processing Pipeline"
+ START([Start Demo]) --> DATA[Generate Triple-Point Data]
+ DATA --> MODEL[Define & Initialize SimpleNet]
+ MODEL --> PRETRAIN{Load Pretrained Weights?}
+ PRETRAIN -->|Yes| LOAD[Load Model Weights]
+ PRETRAIN -->|No| EVAL[Evaluate Model]
+ LOAD --> EVAL
+ EVAL --> DMD[Setup DMD Analysis]
+ DMD --> VORTICITY[Compute Vorticity]
+ VORTICITY --> HOMOLOGY[Chain Map Homology]
+ HOMOLOGY --> CATASTROPHE[Detect Catastrophes]
+ CATASTROPHE --> NEUROFLOW[Initialize NeuroFlow Engine]
+ NEUROFLOW --> TRAIN[Training with NeuroFlow]
+ TRAIN --> ATTACKS[Run 8 Attack Methods]
+ ATTACKS --> PCA[PCA Analysis]
+ PCA --> VISUALIZE[Create Visualizations]
+ VISUALIZE --> END([Complete Analysis])
+ end
+
+ %% NeuroFlow Components Detail
+ subgraph "NeuroFlow Internal Process"
+ NF1[Record Activations] --> NF2[Compute Homology Loss]
+ NF2 --> NF3[DMD Flow Analysis]
+ NF3 --> NF4[Spectral Analysis]
+ NF4 --> NF5[LNN Residual Evaluation]
+ NF5 --> NF6[Catastrophe Detection]
+ NF6 --> NF7[Combined Loss Computation]
+ end
+
+ %% Attack Methods Detail
+ subgraph "Attack Methods Pipeline"
+ ATK1[FGSM] --> TRAJ[Trajectory Analysis]
+ ATK2[PGD] --> TRAJ
+ ATK3[BIM] --> TRAJ
+ ATK4[MI-FGSM] --> TRAJ
+ ATK5[C&W] --> TRAJ
+ ATK6[DeepFool] --> TRAJ
+ ATK7[JSMA] --> TRAJ
+ ATK8[Square Attack] --> TRAJ
+ TRAJ --> TURB[Turbulence Mapping]
+ end
+
+ %% Connect main flow to details
+ NEUROFLOW -.-> NF1
+ ATTACKS -.-> ATK1
+
+
+
+
Component Interaction Diagram
+
+ This diagram illustrates how different components interact and share data throughout the system.
+
+
+
+graph LR
+ %% Core Data Flow
+ subgraph "Data Flow"
+ D1[(Triple-Point Data)]
+ D2[(MNIST Data)]
+ D3[(Synthetic Data)]
+ end
+
+ subgraph "Model Processing"
+ M1[SimpleNet/CNN Model]
+ M2[Forward Pass]
+ M3[Activation Capture]
+ end
+
+ subgraph "NeuroFlow Analysis"
+ N1[ActivationRecorder]
+ N2[ChainMapHomology]
+ N3[DMDFlowAnalyzer]
+ N4[SpectralAnalyzer]
+ N5[CatastropheDetector]
+ end
+
+ subgraph "Adversarial Testing"
+ A1[Attack Generation]
+ A2[Trajectory Tracking]
+ A3[Success Analysis]
+ end
+
+ subgraph "Visualization Output"
+ V1[3D Turbulence Plot]
+ V2[2D Contour Maps]
+ V3[Statistical Reports]
+ end
+
+ %% Connections
+ D1 --> M1
+ D2 --> M1
+ D3 --> M1
+ M1 --> M2
+ M2 --> M3
+ M3 --> N1
+ N1 --> N2
+ N1 --> N3
+ N1 --> N4
+ N2 --> N5
+ N3 --> N5
+ N4 --> N5
+ M1 --> A1
+ A1 --> A2
+ A2 --> A3
+ N5 --> V1
+ A3 --> V1
+ A3 --> V2
+ A3 --> V3
+
+
+
+
Simplified Workflow
+
+ A compact view focusing on the main workflow steps and key component groups.
+
+
+
+flowchart TD
+ %% Main workflow steps
+ A[๐ Generate Triple-Point Data] --> B[๐ง Define Neural Network]
+ B --> C[๐พ Load/Train Model]
+ C --> D[๐ Initialize NeuroFlow Engine]
+ D --> E[๐ฌ Analyze Network Flow]
+ E --> F[โ๏ธ Run 8 Attack Methods]
+ F --> G[๐ Generate Visualizations]
+
+ %% NeuroFlow components
+ subgraph "NeuroFlow Analysis"
+ E1[Homology Analysis]
+ E2[DMD Flow Analysis]
+ E3[Catastrophe Detection]
+ E4[Turbulence Mapping]
+ end
+
+ %% Attack methods
+ subgraph "Adversarial Attacks"
+ F1[FGSM/PGD/BIM]
+ F2[MI-FGSM/C&W]
+ F3[DeepFool/JSMA/Square]
+ end
+
+ %% Visualizations
+ subgraph "Output Visualizations"
+ G1[3D Turbulence Landscape]
+ G2[2D Contour Maps]
+ G3[Statistical Analysis]
+ end
+
+ %% Connect subgraphs
+ E --> E1
+ E --> E2
+ E --> E3
+ E --> E4
+
+ F --> F1
+ F --> F2
+ F --> F3
+
+ G --> G1
+ G --> G2
+ G --> G3
+
+ %% Data flow
+ E4 --> G1
+ F1 --> G1
+ F2 --> G2
+ F3 --> G3
+
+ %% Styling
+ classDef processClass fill:#e3f2fd,stroke:#1976d2,stroke-width:2px
+ classDef analysisClass fill:#f3e5f5,stroke:#7b1fa2,stroke-width:2px
+ classDef attackClass fill:#ffebee,stroke:#d32f2f,stroke-width:2px
+ classDef outputClass fill:#e8f5e8,stroke:#388e3c,stroke-width:2px
+
+ class A,B,C,D,E,F,G processClass
+ class E1,E2,E3,E4 analysisClass
+ class F1,F2,F3 attackClass
+ class G1,G2,G3 outputClass
+
+
+