- Large Language Models as Markov Chains
2024/10/03 by Oussama Zékri, Oussama Zekri, Ambroise Odonnat +10 · 21 voices · 17 citations
Computer Science · Mathematics · #Computer science #Examples of Markov chains #Machine learning #Markov chain #Markov model #Markov property #Natural Language Processing Techniques #Topic Modeling #cs.AI #cs.CL #cs.LG #stat.ML
- Markov State Model Reveals Folding and Functional Dynamics in Ultra-Long MD Trajectories
2011/10/11 by Thomas J. Lane, Gregory R. Bowman, Kyle A. Beauchamp +2 · 2 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · #Protein Structure and Dynamics #RNA and protein synthesis mechanisms #Mass Spectrometry Techniques and Applications #Folding (DSP implementation) #Markov chain #Chemistry #Statistical physics #Domain (mathematical analysis) #Markov model #Projection (relational algebra) #Biological system #Markov process #Molecular dynamics #WW domain #Computational biology #Algorithm #Computational chemistry #Computer science #Physics #Machine learning #Statistics #Mathematics
- Enhanced Modeling via Network Theory: Adaptive Sampling of Markov State Models
2010/02/17 by Gregory R. Bowman, Daniel L. Ensign, Vijay S. Pande · 7 citations
Biochemistry, Genetics and Molecular Biology · Materials Science · Mathematics · #Protein Structure and Dynamics #Machine Learning in Materials Science #Gene Regulatory Network Analysis #Computer science #Markov chain #Metric (unit) #Sampling (signal processing) #Markov process #Markov model #Convergence (economics) #Theoretical computer science #Algorithm #Statistical physics #Machine learning #Mathematics #Physics
- A real-time recurrent error propagation network word recognition system
1992/01/01 by T. Robinson · 1 citation
Computer Science · Mathematics · #Speech Recognition and Synthesis #Speech and dialogue systems #Speech and Audio Processing #Computer science #Connectionism #Context (archaeology) #Hidden Markov model #Pruning #Speech recognition #Phone #Task (project management) #Artificial intelligence #Context model #Vocabulary #Word (group theory) #Heuristic #Markov model #Natural language processing #Markov chain #Artificial neural network #Machine learning #Mathematics
- Markov Graphs
1986/09/01 by Ove Frank, David Strauss · 1 citation
Computer Science · Mathematics · #Bayesian Modeling and Causal Inference #Markov chain #Mathematics #Simple (philosophy) #Statistics #Variable-order Markov model #Statistical inference #Random graph #Inference #Discrete mathematics #Combinatorics #Markov model #Applied mathematics #Computer science #Graph #Artificial intelligence
- Statistical Inference for Probabilistic Functions of Finite State Markov Chains
1966/12/01 by Leonard E. Baum, Ted Petrie · 138 citations
Computer Science · Decision Sciences · Mathematics · #Applied mathematics #Artificial intelligence #Bayesian Modeling and Causal Inference #Computer science #Econometrics #Examples of Markov chains #Finite state #Inference #Markov chain #Markov model #Markov property #Mathematics #Probabilistic logic #Simulation Techniques and Applications #Statistical inference #Statistics
- Limit Theorems for Markov Renewal Processes
1964/12/01 by Ronald Pyke, Ronald Schaufele, Ronald A. Schaufele · 1 citation
Mathematics · #Applied mathematics #Calculus (dental) #Central limit theorem #Combinatorics #Computer science #Discrete mathematics #Law of large numbers #Limit (mathematics) #Markov chain #Markov model #Markov process #Markov property #Markov renewal process #Mathematical analysis #Mathematics #Pure mathematics #Random variable #Renewal theory #Section (typography) #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Uniform limit theorem
- Markov Renewal Processes: Definitions and Preliminary Properties
1961/12/01 by Ronald Pyke · 5 citations
Decision Sciences · Engineering · Mathematics · #Computer science #Econometrics #Markov chain #Markov kernel #Markov model #Markov process #Markov property #Markov renewal process #Mathematics #Renewal theory #Resource-Constrained Project Scheduling #Scheduling and Optimization Algorithms #Statistics #Variable-order Markov model
- Markov Renewal Processes with Finitely Many States
1961/12/01 by Ronald Pyke · 1 citation
Business, Management and Accounting · Decision Sciences · Mathematics · #Advanced Queuing Theory Analysis #Applied mathematics #Limiting #Markov chain #Markov kernel #Markov model #Markov process #Markov property #Markov renewal process #Mathematics #Probability and Risk Models #Renewal theory #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Variable-order Markov model