4 papers
Neural Dynamics as the Composition of Quantized Units
Jacopo Minniti, Aravinth Kulanthaivelu, Richard Sproat
Deep learning is commonly interpreted at two levels: the macroscopic, through aggregate trends in loss summarized by scaling laws, and the microscopic, through neurons, features, a…
Loop Equations for Multi-Matrix Models
Aravinth Kulanthaivelu
We revisit the combinatorial loop-equation method for computing planar disc amplitudes in multi-matrix models with polynomial potentials. We develop a procedure which organises the…
Boundary Conditions and the q-state Potts model on Random Planar Maps
Aravinth Kulanthaivelu, John F. Wheater
We extend a recent analysis of the -states Potts model on an ensemble of random planar graphs with allowed, equally weighted, spins on a connected boundary. In th…
Free Variable Loop Equations for the 3-State Potts Model Coupled to 2D Gravity
Aravinth Kulanthaivelu
We revisit the long standing problem of the geometric free variable approach to computing the generating function for disk amplitudes in the matrix model formulation of the 3-state…