How to design an algorithm that can generate music in real-time given a live input ?
How to design an algorithm that generates truly original pieces of music ?
Structure of music : global and local invariance (tempo and pitch)
Gauge theories, Noether's theorems
Energy and Meaning
Language and Vector Space Models
Principal Component Analysis
and
Free Energy Landscapes
Condition aux limites périodique
Fonction de partition
Shor's Factoring Algorithm
Quantum Superposed States
Hamiltonians
Neural ODEs trading depth for speed
Can be used as generative models via VAE
Continuous-time dynamical systems
PIVPs, GPAC and Accelarating Turing Machines
Computational Length = Space-Time complexity
Spiking Neural Networks
Reservoir Computing
Deep Tree Echo State Networks
Polychronization, Synfire Chains and Spike Timing Dependent Plasticity
Contraction (arbitraire) du temps de calcul
FORCE
A computation is a reaction
peut-on parler de l'avancement d'un calcul ?
Phases
PERIOD FINDING
Variational Inference
The Free Energy Principle
Classical Complexity Classes
Interactive Proof Systems
Games
PCP Theroem aka NP
Chess and Free Energy Profiles
Lagrangian Action
RNNs and Attention Algotithms