{ "schema_version": 1, "id": "rim-compact", "component": "diffusion-role-evolution-overview", "style": "comic", "width": 1880, "height": 1150, "scientific_notes": [ "Original editable overview redrawn from the user-supplied manuscript: Solving the Robust Influence Maximization Problem in Competitive Multilayer Networks via a Diffusion-Aware Role-Guided Evolutionary Approach, Sections III–IV, Eqs. 1–19, Algorithm 1. This illustration is schematic; node IDs, small graph topologies, matrices and seed examples are not experimental results.", "Stage I trains DAT once. Incoming attention gives alpha; role-aligned embeddings give cosine S_align. No shared-weights assumption. Training objectives shown are reconstruction, A-MMD and role; optional InfoNCE is disabled in the reported setup.", "Stage II evolves one shared population. Every individual is a complete pair of layer seed sets. Role transfer changes node identity while retaining functional correspondence. Budgets, valid IDs and within-layer uniqueness require repair.", "The conventional evaluator uses deterministic two-hop scores over sequential structural deletion states. T1/T2 are layer-wise robust competitive scores; T3 combines the robust scores with complementary coverage. The prior does not modify this scoring protocol or its index-pairing rule.", "Dynamic alpha mixes fixed learned importance with task-elite node frequency and schedules against uniform exploration. DAT and S_align remain fixed during search. The RL controller chooses local-refinement modes only; it never directly chooses seed sets. Rank/select returns three task-best complete seed pairs.", "All components in this slide are native editable shapes and text. Rejected IconPark assets are not used.", "Comic icon-assisted redraw. Original native actor symbols, encoder chip silhouettes, paired-seed trays and a magnifier frame communicate the existing graph, encoder, seed-pair and local-search roles; they add no scientific computation. No external icon artwork is embedded.", "Local visual polish of rim-comic-v3 only. Both stages and every module, scientific object identity, label meaning, and directed/control connection are retained. Input avatars, seed tokens, DAT chips, role neighborhoods and refinement lens are larger. Blue/green/coral/gold remain semantically consistent. No three-column redesign and no generated candidate is used.", "Compact-control revision of rim-original-polish-v4. Stage I is protected byte-for-byte at object level. Existing Stage II modules retain scientific content, token sizes, fonts and colors. Adaptive node prior and RL controller are moved next to the variation/refinement they condition; rank follows evaluation and three complete task-best pairs use two output rows. All scientific control/data relations are preserved. A white clearance under the generation return indicates crossings, not new graph junctions.", "Background-only light fades reference DiffGDA Figure 1, https://arxiv.org/html/2602.10506v1#S4.F1 and https://github.com/gxingyu/DiffGDA (visual reference only). Existing scientific meanings, token sizes and fonts are preserved.", "Local prior visualization: Eq.17 normalizes (1−β) times the fixed DAT prior plus β times elite node frequency. Eq.18 blends this normalized prior with uniform U using complementary ω_g and 1−ω_g weights; ω_g follows the paper cosine schedule (early closer to uniform, late closer to the learned prior). Miniature values illustrate one layer and one generation only, not measured results: fixed=(.05,.60,.25,.10), F=(.40,.05,.10,.45), β=.4, ω=.75. All profiles use the same four-node order. The gray base in the final profile denotes the uniform contribution. Next-generation rows are complete paired seed individuals from one shared population, not separate task populations.", "Outer warm/blue arrows are disconnected stage reading-direction annotations, not data paths or iterative retraining. Interior functional arrows retain their original scientific meanings.", "Next-generation rows are illustrative paired-seed individuals from one shared population. Blue and green cells represent the two layers within each individual, not separate populations. The illustrative seed IDs remain (12, 34; 5, 17) and (3, 15; 8, 27). The former on-figure Schematic label is retained here to avoid presenting these examples as measured results.", "Overview simplification: Weighted mix + norm. denotes Eq.17 with feedback strength beta; Schedule denotes the Eq.18 blend with uniform. The uniform contribution decreases over generations. Fine coefficients and the intermediate symbol are omitted only from the overview, not from the algorithm. Same schematic four-node order and values as v16. Controller motifs distinguish broad skip/exploit/escape action families and do not specify new RL actions or training architecture.", "v24: user requested restoration of the v21 DAT chip and stacked training-objective appearance, including their original attached embedding endpoints. The v23 crossover simplification and all other objects remain unchanged. Retains explicit Replaces 42 and full illustrative repaired offspring (12,22;5,17)." ], "objects": [ { "id": "global-prior-wash", "type": "rect", "role": "stage-background", "group": "global-style", "x": 52, "y": 108, "width": 1770, "height": 322, "fill": { "type": "gradient", "gradientKind": "linear", "angleDeg": 90, "stops": [ { "offset": 0, "color": "#FFF7F2" }, { "offset": 100000, "color": "#FFFFFF" } ] }, "stroke": "none", "strokeWidth": 0 }, { "id": "global-search-wash", "type": "rect", "role": "stage-background", "group": "global-style", "x": 52, "y": 464, "width": 1770, "height": 501, "fill": { "type": "gradient", "gradientKind": "linear", "angleDeg": 90, "stops": [ { "offset": 0, "color": "#F0F6FC" }, { "offset": 100000, "color": "#FFFFFF" } ] }, "stroke": "none", "strokeWidth": 0 }, { "id": "learning-boundary", "type": "rect", "role": "learning-boundary", "group": "", "x": 68, "y": 106, "width": 1744, "height": 322, "fill": "none", "stroke": "none", "strokeWidth": 0, "radius": 0 }, { "id": "stage-learning", "type": "text", "role": "stage-learning", "group": "", "x": 650, "y": 32, "width": 1050, "height": 44, "text": "I. 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