Index
207
Reinforcement learning, 103
Relative entropy, 7, 22, 31
Residual neural network (ResNet), 148
Restricted Boltzmann machine, 106, 166, 169
Reversible residual network (RevNet), 150
S
Sampling, 105
Self-learning Monte Carlo method, 126
Sigmoid function, 38
Singular value decomposition, 134
Softmax function, 41
Soliton, 74
Sorting, 71
Sorting algorithm, 71
Sparse modeling, 136
Spin, 157
Spinglass, 157
Step function, 50
Stochastic gradient descent method, 26
Strong duality, 118
Strongly correlated, 185
Superstring theory, 173
Supervised data, 17
Supervised learning, 35
Synapse, 161
System determination problem, 135
T
Teaching signal, 17
Temperature, 140
Tensor, 168
Tensor network, 168
Thermodynamic limit, 140
Tikhonov’s regularization method, 133
Time-series data, 62
Training, 22
Transition matrix, 89
Transition probability, 107
Transposed convolution, 61
Turing-complete, 63, 72
U
Universal approximation theorem, 50
Unsupervised data, 17
Unsupervised learning, 103
V
Vanishing gradient, 66
VC dimension, 24
W
Wave function, 166
Weather model, 88
Weight, 50
Well-posed problems, 132
Z
Zero-sum condition, 110
207
Reinforcement learning, 103
Relative entropy, 7, 22, 31
Residual neural network (ResNet), 148
Restricted Boltzmann machine, 106, 166, 169
Reversible residual network (RevNet), 150
S
Sampling, 105
Self-learning Monte Carlo method, 126
Sigmoid function, 38
Singular value decomposition, 134
Softmax function, 41
Soliton, 74
Sorting, 71
Sorting algorithm, 71
Sparse modeling, 136
Spin, 157
Spinglass, 157
Step function, 50
Stochastic gradient descent method, 26
Strong duality, 118
Strongly correlated, 185
Superstring theory, 173
Supervised data, 17
Supervised learning, 35
Synapse, 161
System determination problem, 135
T
Teaching signal, 17
Temperature, 140
Tensor, 168
Tensor network, 168
Thermodynamic limit, 140
Tikhonov’s regularization method, 133
Time-series data, 62
Training, 22
Transition matrix, 89
Transition probability, 107
Transposed convolution, 61
Turing-complete, 63, 72
U
Universal approximation theorem, 50
Unsupervised data, 17
Unsupervised learning, 103
V
Vanishing gradient, 66
VC dimension, 24
W
Wave function, 166
Weather model, 88
Weight, 50
Well-posed problems, 132
Z
Zero-sum condition, 110
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