On-device research index

arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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5 results for “finite-size-scaling”

Emergence of a finite-size-scaling function in the supervised learning of the Ising phase transitioncond-mat.stat-mech

A neural network model predicts the critical point of the Ising phase transition.

problem Predicting the critical point of the Ising phase transition using supervised learning.

method Proposed a minimal one-free-parameter neural network model to describe the supervised learning problem for the Ising model.

result Just one free parameter is enough to describe the universal finite-size-scaling function in the network output.

Ising model phase transition supervised learning finite-size-scaling neural network

2020-10-01abs ↗pdf ↗

Finite-size scaling of hetero-associative retrieval in continuous-signal-driven Ising spin systemscond-mat.dis-nn

A bridge between continuous signals and discrete Ising spins for associative memory.

problem Associative memory in continuous-signal-driven Ising spin systems.

method Multilayer Ising framework with PCA whitening and SimHash projection, coupled to pseudo-inverse memory couplings.

result Finite-size scaling of operational storage capacity with

α_c(N)=α_c(\infty)-c\,N^{-1/2}

, approaching

α_c(\infty)\approx 0.50

Ising spin systems Associative memory Finite-size scaling Continuous signals PCA whitening

2026-05-13abs ↗pdf ↗

Weighted Trade Network in a Model of Preferential Bipartite Transactionsq-fin.GN

Using a model of wealth distribution where traders are characterized by quenched random saving propensities and trade among themselves by bipartite transactions, we mimic the enhanced rates of trading of the rich by introducing the preferential selection rule using a pair of continuously tunable parameters. The biparti…

2009-09-22abs ↗pdf ↗

Large-scale portfolio optimization with variational neural annealingcond-mat.dis-nn

VNA solves large portfolio optimization problems efficiently.

problem Large-scale portfolio optimization under real-world constraints.

method Mapped to Ising-like Hamiltonian and solved with VNA.

result Identifies near-optimal solutions for over 2,000 assets.

portfolio optimization variational neural annealing mixed-integer nonlinear program financial institutions S&P 500

2025-07-09abs ↗pdf ↗

Universal Scaling Laws of Absorbing Phase Transitions in Artificial Deep Neural Networksstat.ML

Deep neural networks near edge of chaos show universal scaling laws.

problem Understanding the behavior of deep neural networks near critical points.

method Analogy to absorbing phase transitions in statistical mechanics, deterministic propagation dynamics, mean-field and directed percolation universality classes.

result Deep neural networks exhibit universal scaling laws near the edge of chaos.

deep learning neural networks absorbing phase transitions statistical mechanics universal scaling

2023-07-05abs ↗pdf ↗