Product quantization (PQ) is an effective vector quantization method. A product quantizer
can generate an exponentially large codebook at very low memory/time cost. The essence …

The relaxation of binary spins to analog values has been the subject of much debate in the
field of statistical physics, neural networks, and more recently quantum computing, notably …

We prove a long-standing conjecture on random-cluster models, namely that the critical
point for such models with parameter q≥ 1 on the square lattice is equal to the self-dual …

The collective interference of partially distinguishable bosons in multimode networks is
studied via double-sided Feynman diagrams. The probability for many-body scattering …

A Brief Introduction to Fourier Analysis on the Boolean Cube Page 1 Theory OF Computing
Library Graduate Surveys, TCGS 1 (2008), pp. 1–20 http://theoryofcomputing.org A Brief …

Chemical and molecular-based computers may be promising alternatives to modern silicon-
based computers. In particular, hybrid systems, where tasks are split between a chemical …

We present a unified exact tensor network approach to compute the ground state energy,
identify the optimal configuration, and count the number of solutions for spin glasses. The …

Psychoanalytic Complexity is the application of a multidisciplinary, explanatory theory to
clinical psychoanalysis and psychotherapy. It carries with it incisive and pivotal attitudes that …

The last decade has seen an explosion of research in network science, a science whose
initial work and subsequent developments are grounded in statistical physics applied to …

Generalized Darwinism and self-organization have been positioned as competing
frameworks for explaining processes of economic and institutional change. Proponents of …