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The Silence that Speaks: Neural Estimation via Communication Gaps

Shubham Aggarwal, Dipankar Maity, Tamer Başar

TL;DR

The paper tackles remote state estimation over bandwidth-limited channels by jointly designing a scheduler and an estimator, and it reveals that periods of silence can carry meaningful information about the underlying stochastic dynamics. It introduces CALM, a deep reinforcement learning framework that alternates between training a scheduling policy via PPO and learning a nonlinear estimator that leverages silence, augmented by an age-of-information feature. The key contributions are the general treatment of nonlinear stochastic systems without restricting noise distributions, the demonstration that silence acts as a signal to improve estimation, and extensive benchmarks showing CALM outperforms traditional linear estimators and heuristic schedulers while maintaining lower communication costs. This work has practical implications for communication-constrained networked control in robotics, aerospace, and autonomous systems by enabling more efficient use of communication resources without sacrificing estimation fidelity.

Abstract

Accurate remote state estimation is a fundamental component of many autonomous and networked dynamical systems, where multiple decision-making agents interact and communicate over shared, bandwidth-constrained channels. These communication constraints introduce an additional layer of complexity, namely, the decision of when to communicate. This results in a fundamental trade-off between estimation accuracy and communication resource usage. Traditional extensions of classical estimation algorithms (e.g., the Kalman filter) treat the absence of communication as 'missing' information. However, silence itself can carry implicit information about the system's state, which, if properly interpreted, can enhance the estimation quality even in the absence of explicit communication. Leveraging this implicit structure, however, poses significant analytical challenges, even in relatively simple systems. In this paper, we propose CALM (Communication-Aware Learning and Monitoring), a novel learning-based framework that jointly addresses the dual challenges of communication scheduling and estimator design. Our approach entails learning not only when to communicate but also how to infer useful information from periods of communication silence. We perform comparative case studies on multiple benchmarks to demonstrate that CALM is able to decode the implicit coordination between the estimator and the scheduler to extract information from the instances of 'silence' and enhance the estimation accuracy.

The Silence that Speaks: Neural Estimation via Communication Gaps

TL;DR

The paper tackles remote state estimation over bandwidth-limited channels by jointly designing a scheduler and an estimator, and it reveals that periods of silence can carry meaningful information about the underlying stochastic dynamics. It introduces CALM, a deep reinforcement learning framework that alternates between training a scheduling policy via PPO and learning a nonlinear estimator that leverages silence, augmented by an age-of-information feature. The key contributions are the general treatment of nonlinear stochastic systems without restricting noise distributions, the demonstration that silence acts as a signal to improve estimation, and extensive benchmarks showing CALM outperforms traditional linear estimators and heuristic schedulers while maintaining lower communication costs. This work has practical implications for communication-constrained networked control in robotics, aerospace, and autonomous systems by enabling more efficient use of communication resources without sacrificing estimation fidelity.

Abstract

Accurate remote state estimation is a fundamental component of many autonomous and networked dynamical systems, where multiple decision-making agents interact and communicate over shared, bandwidth-constrained channels. These communication constraints introduce an additional layer of complexity, namely, the decision of when to communicate. This results in a fundamental trade-off between estimation accuracy and communication resource usage. Traditional extensions of classical estimation algorithms (e.g., the Kalman filter) treat the absence of communication as 'missing' information. However, silence itself can carry implicit information about the system's state, which, if properly interpreted, can enhance the estimation quality even in the absence of explicit communication. Leveraging this implicit structure, however, poses significant analytical challenges, even in relatively simple systems. In this paper, we propose CALM (Communication-Aware Learning and Monitoring), a novel learning-based framework that jointly addresses the dual challenges of communication scheduling and estimator design. Our approach entails learning not only when to communicate but also how to infer useful information from periods of communication silence. We perform comparative case studies on multiple benchmarks to demonstrate that CALM is able to decode the implicit coordination between the estimator and the scheduler to extract information from the instances of 'silence' and enhance the estimation accuracy.

Paper Structure

This paper contains 31 sections, 1 theorem, 30 equations, 12 figures.

Key Result

Proposition 1

molin2017event Suppose that a scheduling policy $\pi$ is fixed. Then, the optimal estimator for Problem problem1 is given by the conditional expectation of the state, conditioned on the estimator's information set:

Figures (12)

  • Figure 1: Schematic of a remote estimation system.
  • Figure 2: Scheduling landscapes for a 2-mode GMM (left) and 3-mode GMM (right) for the inverted pendulum system (red denotes transmissions while cyan denotes silence).
  • Figure 3: Scheduling landscapes for different weights of the 2-modes of GMM for VdP system: weight vector = (0.3, 0.7) on the left and weight vector = (0.7, 0.3) on the right.
  • Figure 4: Variation of scheduling landscape with communication cost $\lambda$ for the trajectory tracking experiment: $\lambda=15$ (top left), $\lambda=30$ (top right), $\lambda=40$ (bottom-left) and $\lambda=70$ (bottom right).
  • Figure 5: Scheduling landscape for the Boeing flight control system showing clear partitioning between communication and no-communication events.
  • ...and 7 more figures

Theorems & Definitions (5)

  • Proposition 1
  • Remark 2: Restrictions over the information sets
  • Remark 3: Restrictions on noise distribution and policy space
  • Remark 4: Restriction to scalar linear systems
  • Remark 5