Latest Research in Markov Chains and Monte Carlo Methods

84 research papers · 2026 median publication year

Top Research Topics in Markov Chains and Monte Carlo Methods

Highest-Cited Papers

  1. A Few Accelerated Algorithms for Convex Optimization under $(H_0,H_1)$-Smoothness
  2. Complexity of Normalized Stochastic First-Order Methods with Momentum Under Heavy-Tailed Noise
  3. Multidimensional Integral Fractional Ornstein--Uhlenbeck Process with an Application to Animal Movement
  4. A New Algorithm for Split Minimization Using a Relaxed Inertial Gradient Direction Method With Conjugate Gradient and Self‐Adaptive Step Size
  5. A Generalized Energy-Based Adaptive Gradient Method for Optimization
  6. A Unified Kullback--Leibler Divergence Analysis of Generative Diffusion Models via Entropy Production Rate
  7. Computing with traceable tensor networks
  8. Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions
  9. Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions
  10. Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions
  11. Sampling Decisions: Exact Path-Space Control for Physics-Informed Generative Sampling
  12. On randomized step sizes in Metropolis–Hastings algorithms
  13. Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions
  14. Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions
  15. A Policy Iteration Scheme for Semilinear Stochastic Hamilton-Jacobi-Bellman Equations with Exponential Convergence
  16. Adaptivity via a Parallel Architecture for Stochastic Gradient Methods
  17. Sinkhorn Hamiltonian Monte Carlo for Entropic Optimal Transport Generalized Bayes
  18. The Geometry of Statistical Feature Learning in Mean-Field Langevin Dynamics
  19. Accelerated ADMM: Automated Parameter Tuning and Improved Linear Convergence
  20. On Geometric Asymmetry and Information in Sequential Dimension Reduction
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2026 AUG Q1

Markov Chains and Monte Carlo Methods

84 papers

Top Topics (10)

Optimization and Control32
Markov Chains and Monte Carlo Methods8
Numerical Analysis5
Computation5
Statistics Theory5
Signal Processing4
Machine Learning4
Machine Learning3
Information Theory3
Stochastic processes and financial applications1

Top Publications (20)

1.A Few Accelerated Algorithms for Convex Optimization under $(H_0,H_1)$-Smoothness2.Complexity of Normalized Stochastic First-Order Methods with Momentum Under Heavy-Tailed Noise3.Multidimensional Integral Fractional Ornstein--Uhlenbeck Process with an Application to Animal Movement4.A New Algorithm for Split Minimization Using a Relaxed Inertial Gradient Direction Method With Conjugate Gradient and Self‐Adaptive Step Size5.A Generalized Energy-Based Adaptive Gradient Method for Optimization6.A Unified Kullback--Leibler Divergence Analysis of Generative Diffusion Models via Entropy Production Rate7.Computing with traceable tensor networks8.Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions9.Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions10.Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions11.Sampling Decisions: Exact Path-Space Control for Physics-Informed Generative Sampling12.On randomized step sizes in Metropolis–Hastings algorithms13.Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions14.Dimensional Asymptotics of Euler-Based Simulated Likelihood for Multidimensional Diffusions15.A Policy Iteration Scheme for Semilinear Stochastic Hamilton-Jacobi-Bellman Equations with Exponential Convergence16.Adaptivity via a Parallel Architecture for Stochastic Gradient Methods17.Sinkhorn Hamiltonian Monte Carlo for Entropic Optimal Transport Generalized Bayes18.The Geometry of Statistical Feature Learning in Mean-Field Langevin Dynamics19.Accelerated ADMM: Automated Parameter Tuning and Improved Linear Convergence20.On Geometric Asymmetry and Information in Sequential Dimension Reduction
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