Bra-ket notation (Dirac, 1939)
Outer product
Eigenvectors and eigenvalues
Density operator (matrix)
Trace inner product
Distributional Semantics
Distributional Inclusion Hypothesis
Category Theory
Category Theory
Compact closed categories
Graphical calculus
Graphical calculus
Compositional Distributional Model
Pregroup (Lambek, 2001)
Pregroup grammar
Basic types
Pregroups as compact closed categories
Examples
FVect - finite dimensional vector space
“From-the-meanings-of-words-to-the-meanings-of-the-sentence” map
Example: “John likes Mary”
Example: “John likes Mary”
Example
Example
Example
Example
Example
Readings
1.93M
Category: physicsphysics
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Quantum Semantics

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Evgeniy N. Pavlovskiy,
Ph.D., head of the NSU
Stream Data Analytics and Machine Learning lab.
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Pythagoras

2. Bra-ket notation (Dirac, 1939)

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