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10 papers

physics.comp-ph2026

Astroid Spinodal Boundary in Phase-Based Ising Machines

Malihe Farasat, Nikhil Shukla

The paper analyzes how competition between second-harmonic injection and network coupling in oscillator‑based Ising machines creates a spinodal transition between monostable and bi…

cs.LG2026

Learning from Noise: Effective-Rank Collapse and Out-of-Distribution Rejection in Restricted Boltzmann Machines

Oshada Rathnayake, Nikhil Shukla

Restricted Boltzmann machines (RBMs) represent data by shaping an energy landscape over visible and hidden configurations, but their discriminative use is fragile under out-of-dist…

physics.comp-ph2026

Leveraging Population Dynamics to Steer Efficient Search in Large-Scale Combinatorial Optimization

Nikhat Khan, Ridge Redding, Nikhil Shukla

Combinatorial optimization problems pose substantial computational challenges because their feasible solution spaces grow exponentially with problem size. This paper presents a GPU…

cs.CE2026

Cosm: Collective Switched Motion for Fast and Accurate Sparse Ising Optimization

Kenneth M. Zick, Nikhil Shukla, Alexander Marakov

We introduce Collective Switched Motion (Cosm), a dynamical system-based heuristic algorithm. Cosm combines locally interacting continuous circular variables with novel global coor…

physics.comp-ph2026

Breakdown of Gradient-Flow Dynamics in Oscillator Ising Machines from Harmonic Misalignment

Abir Hasan, E. M. Hasantha Ekanayake, Kyle Lee +2

Oscillator Ising machines (OIMs) are often viewed as physical systems that perform gradient descent on an energy landscape encoding Ising solutions. Here, we show that this interpr…

physics.comp-ph2026

Bridging the Analog and the Probabilistic Computing Divide: Configuring Oscillator Ising Machines as P-bit Engines

E. M. Hasantha Ekanayake, Nikhat Khan, Nikhil Shukla

Oscillator Ising Machines (OIMs) and probabilistic bit (p-bit)-based computing platforms have emerged as promising paradigms for tackling complex combinatorial optimization problem…