# List of Interdisciplinary References

| \# | Caption | Page |
| :--- | :--- | ---: |
| Interdisciplinary Reference 1.1 | Behavior Psychology: Reinforcement Learning | 2 |
| Interdisciplinary Reference 2.1 | Stochastic Process: Markov Process | 25 |
| Interdisciplinary Reference 2.2 | Optimization: Duality in Linear Programming | 69 |
| Interdisciplinary Reference 3.1 | Functional Analysis: Metric and its Completeness | 82 |
| Interdisciplinary Reference 3.2 | Functional Analysis: Contraction Mapping | 83 |
| Interdisciplinary Reference 3.3 | Functional Analysis: Fixed Point | 86 |
| Interdisciplinary Reference 3.4 | Functional Analysis: Banach Fixed Point Theorem | 86 |
| Interdisciplinary Reference 3.5 | Statistics: Bootstrap | 94 |
| Interdisciplinary Reference 3.6 | Algorithm: Dynamic Programming | 95 |
| Interdisciplinary Reference 4.1 | Statistics: Monte Carlo Method | 106 |
| Interdisciplinary Reference 4.2 | Stochastic Approximation: Robbins–Monro Algorithm | 107 |
| Interdisciplinary Reference 4.3 | Statistics: Importance Sampling | 118 |
| Interdisciplinary Reference 6.1 | Machine Learning: Parametric Model and Nonparametric Model | 172 |
| Interdisciplinary Reference 6.2 | Stochastic Optimization: Stochastic Gradient Descent | 176 |
| Interdisciplinary Reference 6.3 | Data Structure: Sum Tree and Binary Indexed Tree | 190 |
| Interdisciplinary Reference 6.4 | Feature Engineering: One-Hot Coding and Tile Coding | 197 |
| Interdisciplinary Reference 8.1 | Optimization: MM Algorithm | 244 |
| Interdisciplinary Reference 8.2 | Optimization: Trust Region Method | 247 |
| Interdisciplinary Reference 8.3 | Information Theory: Kullback–Leibler Divergence | 248 |
| Interdisciplinary Reference 8.4 | Information Geometry: Fisher Information Matrix | 249 |
| Interdisciplinary Reference 8.5 | Information Geometry: Second-order Approximation of KL Divergence | 250 |
| Interdisciplinary Reference 8.6 | Numerical Linear Algebra: Conjugate Gradient | 254 |
| Interdisciplinary Reference 9.1 | Stochastic Process: Ornstein Uhlenbeck Process | 298 |
| Interdisciplinary Reference 10.1 | Information Theory: Entropy | 314 |
| Interdisciplinary Reference 12.1 | Probability Theory: Quantile Function | 368 |
| Interdisciplinary Reference 12.2 | Metric Geometry: Wasserstein Metric | 369 |
| Interdisciplinary Reference 12.3 | Utility Theory: von Neumann Morgenstern Utility | 372 |
| Interdisciplinary Reference 12.4 | Utility Theory: Yarri Utility | 373 |
| Interdisciplinary Reference 12.5 | Probably Theory: Categorical Distribution | 375 |
| Interdisciplinary Reference 12.6 | Machine Learning: Quantile Regression | 380 |
| Interdisciplinary Reference 13.1 | Machine Learning: Online Learning and Regret | 412 |
| Interdisciplinary Reference 13.2 | Probability Theory: Hoeffding's Inequality | 416 |
| Interdisciplinary Reference 13.3 | Probability Theory: Conjugate Distribution | 420 |
| Interdisciplinary Reference 13.4 | Asymptotic Complexity: $\tilde {O}$ Notation | 424 |
| Interdisciplinary Reference 14.1 | Board Game: Tic-Tac-Toe and Gomoku | 444 |
| Interdisciplinary Reference 14.2 | Board Game: Reversi | 445 |
| Interdisciplinary Reference 14.3 | Board Game: Go | 446 |
| Interdisciplinary Reference 14.4 | Combinatorial Game Theory: Game Tree | 448 |
| Interdisciplinary Reference 14.5 | Combinatorial Game Theory: Maximin and Minimax | 448 |
| Interdisciplinary Reference 14.6 | Deep Learning: Residual Network | 452 |
| Interdisciplinary Reference 15.1 | Stochastic Process: Properties of Markov Process | 481 |
| Interdisciplinary Reference 15.2 | Stochastic Process: Continuous-Time Markov Process | 486 |
| Interdisciplinary Reference 15.3 | Stochastic Process: Semi-Markov Process | 494 |
| Interdisciplinary Reference 15.4 | Stochastic Process: Hidden Markov Model | 499 |
| Interdisciplinary Reference 16.1 | Information Theory: $f$-Divergence | 532 |
| Interdisciplinary Reference 16.2 | Machine Learning: Generative Adversarial Network | 541 |
| Interdisciplinary Reference 16.3 | Machine Learning: Rank by Utility | 545 |
| Interdisciplinary Reference 16.4 | Rotational Kinematics: Principal Axes and Euler's Angles | 547 |
