Bayesian Programming and Learning for Multi-Player Video Games ...

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Figure 8.4: Crops of screenshots of the first scouting (discovery) of an opponent’s base in a Protoss vs Protoss game. The buildings shown here are the ones of the opponent. The yellow squares represent the pathfinding output. On the bottom, in the blue rectangle, are displayed the possible openings for the Protoss opponent and their respective probabilities (in percentage) according what we have seen. The top picture was captured a few seconds before the right one and thus we had less information about the opponent’s buildings (the upper right part is black because of the fog of war). 166
Figure 8.5: Crops of screenshots of an attack towards a Protoss opponent. The first screenshot (top) shows the units arriving at their formation SubGoal objectives (purple disks), the second shows the switch to the fight mode (for ground units) with the first enemy units appearing on the right. The third (bottom left) and fourth (bottom right) screenshots show the battle as it happens. The small squares (white to blue) show the attraction of one unit for its possible directions (P(Diri)∀i): the whiter it is, the higher the probability to go there. 167
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THÈSE Pour obtenir le grade de DOC
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Contents Contents 4 1 Introduction
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5.4.1 Bayesian unit . . . . . . . .
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Notations Symbols ← assignment of
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Complexity, real-time constraints a
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intuition of Bayesian modeling to r
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e played by humans, by opposition t
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As a first approach, programmers ca
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3 2 1 1 Figure 2.1: A Tic-tac-toe b
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Algorithm 2 Alpha-beta algorithm fu
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ewards on all the runs through node
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2.4.1 Monopoly In Monopoly, there i
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2.4.3 Poker Poker 4 is a zero-sum (
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2.5.2 State of the art FPS AI consi
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2.6.2 State of the art Methods used
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are no generic and efficient approa
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Strategy Tactics Action Strategic d
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2.8.4 Time constant(s) For novice t
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effects. In RTS games, there is a l
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Chapter 3 Bayesian modeling of mult
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programmer-specified states, the (m
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which derives the laws of probabili
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Indeed, when evaluating two models
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• energy/mana/stamina regenerator
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• The probability that the ith un
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3.3.4 Example This model has been a
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and P(Ai = false|T = i) = 0.6. To m
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Chapter 4 RTS AI: StarCraft: Broodw
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eplay is shown in appendix in Table
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Supply/Max supply Build Note (popul
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Figure 4.3: Military moves from a S
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Technology Strategy Army How? Econo
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• Robotic player (bot): chapter 8
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• Complexity: pspace-complete [Pa
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educing the complexity (no communic
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(grid-based) pathfinding was recent
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U A E Figure 5.4: In both figures,
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Fire Reload Figure 5.6: Fight FSM o
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• Obj i∈�1...n� ∈ {T rue,
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Identification Parameters and proba
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⎧⎪ Bayesian program ⎨ ⎧⎪
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36 units setup vs OAI. For Bayesian
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we learned, by optimizing the effic
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Probabilistic modality Finally, we
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• Type: prediction is problem of
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can possibly be in the future. In t
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6.3.2 Evaluating regions Partial ob
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Pylon Gate Core Range Gate Core Pyl
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events (detected by a heuristic, se
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• AD1:n ∈ {no, low, med, high}:
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The model is highly modular, and so
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attacked: P(ei�=r, ti�=r, tai
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Figure 6.7: P(A) for varying values
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Towards a baseline heuristic The me
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Figure 6.9 displays the mean P(A, H
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Finally, our approach is not exclus
Page 117 and 118: Chapter 7 Strategy Strategy without
Page 119 and 120: etween economy, technology and mili
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Page 123 and 124: 7.4.2 Probabilistic labeling Instea
Page 125 and 126: • Variables: - X i∈�1...n�
Page 127 and 128: Figure 7.3: Protoss vs Terran distr
Page 129 and 130: 7.5 Build tree prediction The work
Page 131 and 132: Questions The question that we will
Page 133 and 134: Table 7.4 shows the full results, t
Page 135 and 136: that this average “missed” (unp
Page 137 and 138: 7.6 Openings 7.6.1 Bayesian model W
Page 139 and 140: Questions The question that we will
Page 141 and 142: Figure 7.12: Evolution of P(Opening
Page 143 and 144: Table 7.5: Prediction probabilities
Page 145 and 146: 7.6.3 Possible uses We recall that
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Page 149 and 150: (tt) if it allows for building all
Page 151 and 152: 7.7.2 Results We did not evaluate d
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Page 157 and 158: Chapter 8 BroodwarBotQ Dealing with
Page 159 and 160: 8.1.2 Tactical goals The decision t
Page 161 and 162: • X t i∈�1...n� ∈ �r1 .
Page 163 and 164: 3 2 player 1 1 6 4 resources 8 play
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Page 176 and 177: 9.2.4 Inter-game Adaptation (Meta-g
Page 178 and 179: fog of war hiding of some of the fe
Page 180 and 181: RTS Real-Time Strategy games are (m
Page 182 and 183: Sander C. J. Bakkes, Pieter H. M. S
Page 184 and 185: Julien Diard, Pierre Bessière, and
Page 186 and 187: Damian Isla. Handling complexity in
Page 188 and 189: Kinshuk Mishra, Santiago Ontañón,
Page 190 and 191: Mark Riedl, Boyang Li, Hua Ai, and
Page 192 and 193: Adrien Treuille, Seth Cooper, and Z
Page 194 and 195: • 0 (not at all, or irrelevant)
Page 197 and 198: Appendix B StarCraft AI B.1 Micro-m
Page 199 and 200: 1|B, B ′ ) = 1.0 iff B = B ′ ,
Page 201 and 202: Figure B.2: Top: StarCraft’s Lost
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