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Biological systems use energy to maintain non-equilibrium distributions for long times, e.g. of chemical concentrations or protein conformations. What are the fundamental limits of the power used to "hold" a stochastic system in a desired…

Statistical Mechanics · Physics 2019-07-04 Dmitri S. Pavlichin , Yihui Quek , Tsachy Weissman

An optimal feedback controller for a given Markov decision process (MDP) can in principle be synthesized by value or policy iteration. However, if the system dynamics and the reward function are unknown, a learning agent must discover an…

Machine Learning · Computer Science 2019-07-19 Boris Belousov , Jan Peters

We study the problem of networked online convex optimization, where each agent individually decides on an action at every time step and agents cooperatively seek to minimize the total global cost over a finite horizon. The global cost is…

Optimization and Control · Mathematics 2022-07-14 Yiheng Lin , Judy Gan , Guannan Qu , Yash Kanoria , Adam Wierman

We reformulate a class of non-linear stochastic optimal control problems introduced by Todorov (2007) as a Kullback-Leibler (KL) minimization problem. As a result, the optimal control computation reduces to an inference computation and…

Optimization and Control · Mathematics 2012-01-19 B. Kappen , V. Gomez , M. Opper

In this paper, we consider the gradual-impulse control problem of continuous-time Markov decision processes, where the system performance is measured by the expectation of the exponential utility of the total cost. We prove, under very…

Optimization and Control · Mathematics 2023-11-16 Xin Guo , Aiko Kurushima , Alexey Piunovskiy , Yi Zhang

Kullback-Leibler (KL) control enables efficient numerical methods for nonlinear optimal control problems. The crucial assumption of KL control is the full controllability of the transition distribution. However, this assumption is often…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Kaito Ito , Kenji Kashima

This paper deals with discrete-time Markov control processes on a general state space. A long-run risk-sensitive average cost criterion is used as a performance measure. The one-step cost function is nonnegative and possibly unbounded.…

Risk Management · Quantitative Finance 2016-08-14 Anna Jaśkiewicz

Consider an agent acting to achieve its temporal goal, but with a "trembling hand". In this case, the agent may mistakenly instruct, with a certain (typically small) probability, actions that are not intended due to faults or imprecision in…

Robotics · Computer Science 2024-04-26 Pian Yu , Shufang Zhu , Giuseppe De Giacomo , Marta Kwiatkowska , Moshe Vardi

This paper investigates MDPs with intermittent state information. We consider a scenario where the controller perceives the state information of the process via an unreliable communication channel. The transmissions of state information…

Artificial Intelligence · Computer Science 2025-02-17 Gongpu Chen , Soung-Chang Liew

The capability of a novel Kullback-Leibler divergence method is examined herein within the Kalman filter framework to select the input-parameter-state estimation execution with the most plausible results. This identification suffers from…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Marios Impraimakis

Min-max problems are important in multi-agent sequential decision-making because they improve the performance of the worst-performing agent in the network. However, solving the multi-agent min-max problem is challenging. We propose a…

Multiagent Systems · Computer Science 2024-05-31 Alexandros E. Tzikas , Jinkyoo Park , Mykel J. Kochenderfer , Ross E. Allen

We consider multiple parallel Markov decision processes (MDPs) coupled by global constraints, where the time varying objective and constraint functions can only be observed after the decision is made. Special attention is given to how well…

Optimization and Control · Mathematics 2017-09-12 Xiaohan Wei , Hao Yu , Michael J. Neely

This paper studies continuous-time Markov decision processes under the risk-sensitive average cost criterion. The state space is a finite set, the action space is a Borel space, the cost and transition rates are bounded, and the…

Optimization and Control · Mathematics 2015-12-22 Qingda Wei , Xian Chen

Modelling bounded rational decision-making through information constrained processing provides a principled approach for representing departures from rationality within a reinforcement learning framework, while still treating…

Machine Learning · Computer Science 2025-06-02 Benjamin Patrick Evans , Leo Ardon , Sumitra Ganesh

The problem of real-time remote tracking and reconstruction of a two-state Markov process is considered here. A transmitter sends samples from an observed information source to a remote monitor over an unreliable wireless channel. The…

Information Theory · Computer Science 2023-09-22 Mehrdad Salimnejad , Marios Kountouris , Nikolaos Pappas

When humans are given a policy to execute, there can be policy execution errors and deviations in policy if there is uncertainty in identifying a state. This can happen due to the human agent's cognitive limitations and/or perceptual…

Artificial Intelligence · Computer Science 2022-03-07 Sriram Gopalakrishnan , Mudit Verma , Subbarao Kambhampati

We consider a setting where a supervisor delegates an agent to perform a certain control task, while the agent is incentivized to deviate from the given policy to achieve its own goal. In this work, we synthesize the optimal deceptive…

Systems and Control · Electrical Eng. & Systems 2023-08-29 Apurva Patil , Mustafa O. Karabag , Takashi Tanaka , Ufuk Topcu

We consider the problem of stochastic optimal control, where the state-feedback control policies take the form of a probability distribution and where a penalty on the entropy is added. By viewing the cost function as a Kullback- Leibler…

Optimization and Control · Mathematics 2024-12-12 Marc Lambert , Francis Bach , Silvère Bonnabel

We consider a piecewise deterministic Markov decision process, where the expected exponential utility of total (nonnegative) cost is to be minimized. The cost rate, transition rate and post-jump distributions are under control. The state…

Optimization and Control · Mathematics 2017-11-22 Xin Guo , Yi Zhang

We present a new, tractable method for solving and analyzing risk-aware control problems over finite and infinite, discounted time-horizons where the dynamics of the controlled process are described as a martingale problem. Supposing…

Optimization and Control · Mathematics 2020-06-23 Jukka Isohätälä , William B. Haskell