This paper considers online convex optimization (OCO) with stochastic constraints, which generalizes Zinkevich's OCO over a known simple fixed set by introducing multiple stochastic functional constraints that are i.i.d.

This paper explores the realm of infinite horizon average reward Constrained Markov Decision Processes (CMDPs).

We study the constrained reinforcement learning problem, in which an agent aims tomaximize the expected cumulativereward subject toaconstraint on the expected total value of a utility function. In contrast to existing model-based approaches or model-free methods accompanied with a'simulator', we aim to develop thefirst model-free, simulator-freealgorithm that achieves a sublinear regret and a sublinear constraint violation even inlarge-scale systems.

We study the constrained reinforcement learning problem, in which an agent aims tomaximize the expected cumulativereward subject toaconstraint on the expected total value of a utility function. In contrast to existing model-based approaches or model-free methods accompanied with a'simulator', we aim to develop thefirst model-free, simulator-freealgorithm that achieves a sublinear regret and a sublinear constraint violation even inlarge-scale systems.

Our algorithm employsonecolumn forsubgradient descent ineach iteration, whereas thedual project subgradient algorithm requires the whole constraint matrix and conducts matrix multiplication in each iteration. In addition, a class of backpressure/max-weight algorithms [25] are developed in the control/queueing literature and the backpressure algorithm can be interpreted from a view of pressuregradient.

This paper considers online convex optimization (OCO) with stochastic constraints, which generalizes Zinkevich's OCO over a known simple fixed set by introducing multiple stochastic functional constraints that are i.i.d.

We call this setting frequentist-type kernelized bandits (KB).