Derives ODE limits of Adam-DA showing that first- and second-order momentum parameters reverse their convergence roles in zero-sum games compared to minimization, validated on GAN experiments.
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8 Pith papers cite this work. Polarity classification is still indexing.
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A reference-decoupled reformulation makes direct data-driven LQT equivalent to certainty-equivalence solutions and supports convergent offline and online DeePO algorithms.
A diameter criterion tied to a potential function certifies convergence of difference inclusions, enabling discrete proofs for first-order optimization methods with diminishing steps.
Derives contraction-based Q-value extensions for exponential utility and proves almost-sure convergence of two-timescale and one-timescale model-free algorithms in discounted MDPs.
A nonlinear observer on SL(3) achieves local exponential convergence for homography estimation by minimizing an image-intensity cost function with explicit non-degeneracy conditions.
DiMS is a physics-inspired dynamical sampler guaranteed to exactly sample reparameterization-invariant minimum level sets in neural network loss landscapes.
Derives LMI-based stability conditions and peak-to-peak gains for a GPSOL/DERL adaptive controller on first-order SISO nonlinear systems to enforce bounded output errors, verified in simulation and on a pneumatic test rig.
Vector-field guidance combined with distance-bearing repulsion and spacing-error velocity control achieves collision-free, uniformly spaced multi-UAV path following with proven convergence.
citing papers explorer
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Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach
Derives ODE limits of Adam-DA showing that first- and second-order momentum parameters reverse their convergence roles in zero-sum games compared to minimization, validated on GAN experiments.
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Direct Data-Driven Linear Quadratic Tracking via Policy Optimization
A reference-decoupled reformulation makes direct data-driven LQT equivalent to certainty-equivalence solutions and supports convergent offline and online DeePO algorithms.
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Convergence of difference inclusions via a diameter criterion
A diameter criterion tied to a potential function certifies convergence of difference inclusions, enabling discrete proofs for first-order optimization methods with diminishing steps.
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Reinforcement Learning for Exponential Utility: Algorithms and Convergence in Discounted MDPs
Derives contraction-based Q-value extensions for exponential utility and proves almost-sure convergence of two-timescale and one-timescale model-free algorithms in discounted MDPs.
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Equivariant Observer Design on SL(3) for Image Intensity-Based Homography Estimation
A nonlinear observer on SL(3) achieves local exponential convergence for homography estimation by minimizing an image-intensity cost function with explicit non-degeneracy conditions.
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Don't Stop Me Yet: Sampling Loss Minima via Dissipative Riemannian Mechanics
DiMS is a physics-inspired dynamical sampler guaranteed to exactly sample reparameterization-invariant minimum level sets in neural network loss landscapes.
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Online Learning-Based Control with Guaranteed Error Bounds for a Class of Nonlinear Systems
Derives LMI-based stability conditions and peak-to-peak gains for a GPSOL/DERL adaptive controller on first-order SISO nonlinear systems to enforce bounded output errors, verified in simulation and on a pneumatic test rig.
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Multi-UAV Path Following using Vector-Field Guidance
Vector-field guidance combined with distance-bearing repulsion and spacing-error velocity control achieves collision-free, uniformly spaced multi-UAV path following with proven convergence.