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Peter E. Caines

math.OCcs.SYeess.SYmath.DScs.LGcs.SImath.PRstat.MLmath.ACmath.AP

On Valency

published · living versions
W_qk559jam·v1 · currentpublished

Preprints & journals

34 papers in the corpus · 2012–2026
Graphexon Mean Field Games on Large Network Limits2610.27292v1 · Peter E. Caines, Minyi Huang2026 · 0 citationsarXivon Valency
Mean Field Games and Control on Large Expander Graphs2604.05294v3 · Tao Zhang, Peter E. Caines2026 · 0 citationsarXiv
Transmission Neural Networks: Inhibitory and Excitatory Connections2604.04246v2 · Shuang Gao, Peter E. Caines2026 · 0 citationsarXiv
Transmission Neural Networks: Approximation and Optimal Control2505.12657v1 · Shuang Gao, Peter E. Caines2025 · 0 citationsIFAC Conference on Networked Systems, 2025
Concentration of Cumulative Reward in Markov Decision Processes2411.18551v2 · Borna Sayedana, Peter E. Caines, Aditya Mahajan2024 · 0 citationsarXiv
Comparative Analysis of Learning-Based Methods for Transient Stability Assessment2409.02336v1 · Xingjian Wu, Xiaoting Wang, Xiaozhe Wang et al.2024 · 2 citationsarXiv
Quadratic Optimal Control of Graphon Q-noise Linear Systems2407.00212v1 · Alex Dunyak, Peter E. Caines2024 · 1 citationarXiv
Stationary Cost Nodes in Infinite Horizon LQG-GMFGs2207.11343v1 · Rinel Foguen Tchuendom, Shuang Gao, Peter E. Caines2022 · 4 citationsarXiv
Lattice Conditional Independence Models and Hibi Ideals2105.14558v3 · Peter Caines, Fatemeh Mohammadi, Eduardo S'aenz de Cabez'on et al.2021 · 6 citationsTransactions of the London Mathematical Society, Volume 9, Issue 1, 2022
Graphon Mean Field Games and the GMFG Equations2008.10216v4 · Peter E. Caines, Minyi Huang2020 · 54 citationsSIAM Journal on Control and Optimization, vol. 59, no. 6, pp. 4373--4399 (2021)
Linear Quadratic Graphon Field Games2006.03964v2 · Shuang Gao, Rinel Foguen Tchuendom, Peter E. Caines2020 · 26 citationsCommunications in Information and Systems, vol. 21, no. 3, pp. 341-369, 2021
Subspace Decomposition for Graphon LQR: Applications to VLSNs of Harmonic Oscillators2004.00677v2 · Shuang Gao, Peter E. Caines2020 · 11 citationsIEEE Transactions on Control of Network Systems (2021)
LQG Graphon Mean Field Games: Analysis via Graphon Invariant Subspaces2004.00679v2 · Shuang Gao, Peter E. Caines, Minyi Huang2020 · 18 citationsarXiv
Optimal and Approximate Solutions to Linear Quadratic Regulation of a Class of Graphon Dynamical Systems1911.02421v1 · Shuang Gao, Peter E. Caines2019 · 16 citations58th IEEE Conference on Decision and Control (CDC 2019)
Spectral Representations of Graphons in Very Large Network Systems Control1911.01536v1 · Shuang Gao, Peter E. Caines2019 · 33 citations58th IEEE Conference on Decision and Control (CDC 2019)
The density evolution of the killed Mckean-Vlasov process1812.10934v1 · Peter E. Caines, Daniel Ho, Qingshuo Song2018 · 2 citationsarXiv
Convex Analysis for LQG Systems with Applications to Major Minor LQG Mean-Field Game Systems1810.07551v4 · Dena Firoozi, Sebastian Jaimungal, Peter E. Caines2018 · 27 citationsarXiv
A Class of Hybrid LQG Mean Field Games with State-Invariant Switching and Stopping Strategies1810.02920v2 · Dena Firoozi, Ali Pakniyat, Peter E. Caines2018 · 7 citationsarXiv
Mean Field Game Systems with Common Noise and Markovian Latent Processes1809.07865v3 · Dena Firoozi, Peter E. Caines, Sebastian Jaimungal2018 · 1 citationarXiv
Graphon Control of Large-scale Networks of Linear Systems1807.03412v5 · Shuang Gao, Peter E. Caines2018 · 89 citationsIEEE Transactions on Automatic Control, vol. 65, no. 10, pp. 4090-4105, 2020
On the Hybrid Minimum Principle1710.05521v2 · Ali Pakniyat, Peter E. Caines2017 · 1 citationarXiv
Mean Field Stochastic Adaptive Control1210.5493v1 · Arman C. Kizilkale, Peter E. Caines2012 · 41 citationsarXiv
On the Optimal Control of Impulsive Hybrid Systems On Riemannian Manifolds1209.4609v1 · Farzin Taringoo, Peter E. Caines2012 · 34 citationsarXiv
Career total: 468 works. 34 are in this corpus.

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