REVIEW 2 cited by
ADMM and Accelerated ADMM as Continuous Dynamical Systems
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
Recently, there has been an increasing interest in using tools from dynamical systems to analyze the behavior of simple optimization algorithms such as gradient descent and accelerated variants. This paper strengthens such connections by deriving the differential equations that model the continuous limit of the sequence of iterates generated by the alternating direction method of multipliers, as well as an accelerated variant. We employ the direct method of Lyapunov to analyze the stability of critical points of the dynamical systems and to obtain associated convergence rates.
Forward citations
Cited by 2 Pith papers
-
Proximal gradient flow and Douglas-Rachford splitting dynamics: global exponential stability via integral quadratic constraints
Continuous-time proximal gradient and Douglas-Rachford splitting flows are shown to be globally exponentially stable using integral quadratic constraints, with explicit rates.
-
VeloxQ: A Fast and Efficient QUBO Solver
VeloxQ is a classical QUBO solver that reports competitive or superior performance and unique scalability to 10^8-variable sparse instances across benchmarks against quantum annealers, physics-inspired methods, and co...
Discussion (0). Continue with ORCID to comment.