Exponential Horizon Dependence

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Period ending 2026-09-21

1 new paper

A weekly snapshot of new work published in Exponential Horizon Dependence.

Period ending 2026-09-07

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29 papers

Latest in Exponential Horizon Dependence

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Linear Exponential Quadratic Gaussian Covariance Steering
Sep 14, 2026Chiran B. Cherian, Yasemin Isik, Abhishek HalderLinear Quadratic Regulator Covariance Estimation
Constrained Online Learning with Noisy Constraint Values
Sep 7, 2026Vaneet AggarwalConvex Optimization Learning-Augmented Algorithms
Hard-ReLU Gradient Descent Selects an Event-Free Sensitivity Limit
Aug 31, 2026Xiaoyang Li, Runni ZhouGradient Flow Curvature
The Time Value of Evolution
Aug 13, 2026Matthew Siper, Ahmed Khalifa, Julian TogeliusExponential Horizon Dependence Evolutionary Search
Capability-Gated Planning: Cost-to-Goal Discovery and the Limits of Myopic Experiment Selection
Aug 5, 2026Ahmed Hassoon, Mark DredzeClassical Planning Planning Methods
Heterogeneous Multi-Agent Reinforcement Learning for Radio Resource Management under Coupled Finite-Horizon Constraints
Aug 3, 2026Yeonseo Jeong, Wonhyeok Ko, Sungweon Hong +1Wireless Resource Allocation Open Radio Access Networks
The Greedy Advantage in Finite-Horizon Bandits
Jul 31, 2026Kai Zhou, Michael Lingzhi Li, Kai WangOptimal Bandit Algorithms Linear Regret
Real-Time Hard Peak Age-of-Information Safety with No-Regret Learning
Jul 30, 2026Wentao Zhang, Wentao MoDeadlines Safety-Critical Scenarios
SPOTting the Future: Lookahead Explanations for Deep Reinforcement Learning
Jul 28, 2026Tamar Gozlan, Claudia V. GoldmanDeep Reinforcement Learning Exponential Horizon Dependence
Adaptive Multi-Horizon Reinforcement Learning
Jul 22, 2026Manoosh Samiei, Doina Precup, Paul MassetHierarchical Reinforcement Learning Exponential Horizon Dependence
Asymptotically Optimal Regret for Reinforcement Learning without Horizon Dependence
Jul 22, 2026Runlong Zhou, Zihan Zhang, Maryam Fazel +1Exponential Horizon Dependence Regret
When Can Safe Controllers Adapt? Information before Commitment
Jul 18, 2026Venkatesh SaligramaAdaptive Controller Safety Constraints
Graph Sparse Sampling: Breaking the Curse of the Horizon in Continuous MDP Planning
Jul 6, 2026Idan Lev-Yehudi, Vadim IndelmanClassical Planning Exponential Horizon Dependence
Horizon Adaptive Offline Policy Learning via Value Stitching
Jun 19, 2026Kexin Zheng, Xianyuan Zhan, Xintao YanOffline Reinforcement Learning Exponential Horizon Dependence
Horizon-Uniform Sensitivity Certificates for Finite-Horizon Pontryagin Systems
Jun 16, 2026Pyuyi Chufeng Huang, Zikang Song, Xingshu ChenLyapunov Function Exponential Horizon Dependence
When Should a Robot Replan? Regret-Guided Update Scheduling in Time-Varying MDPs
Jun 15, 2026Negin Musavi, Gokul Puthumanaillam, Ruben Hernandez +2Dynamic Replanning Markov Decision Processes
$λ$ -Reachability: Geometric-Horizon Safety Bellman Equations for Humanoid Safety
Jun 14, 2026Rui Chen, Shangtao Li, Yifan Sun +1Hamilton-Jacobi Reachability Reachability
The Deterministic Horizon: When Extended Reasoning Fails and Tool Delegation Becomes Necessary
May 29, 2026Dongxin Guo, Jikun Wu, Siu Ming YiuAgentic Reasoning Reasoning Failures
Constrained Auto-Bidding via Generative Response Modeling
May 27, 2026Eunseok Yang, Xingdong Zuo, Kyung-Min KimFirst-Price Auctions Exponential Horizon Dependence
Completion vs Optimality: Policy Gradient in Long-Horizon Cumulative-Damage Problems
May 26, 2026Wolfgang Maass, Sabine JanzenExponential Horizon Dependence Policy Gradient
The Deterministic Horizon: Impossibility Results as Design Specifications for Trustworthy AI Systems
May 21, 2026Dongxin GuoTrustworthy Artificial Intelligence Impossibility
Policy Library CBF: Finite-Horizon Safety at Runtime via Parallel Rollouts
May 15, 2026Taekyung Kim, Hideki Okamoto, Bardh Hoxha +2Safety Filters Control Barrier Functions
Tight Sample Complexity Bounds for Entropic Best Policy Identification
May 13, 2026Amer Essakine, Claire VernadeEntropy Regularized Reinforcement Learning Optimal Policies
Augmented Lagrangian Method for Last-Iterate Convergence for Constrained MDPs
May 12, 2026Michael Lu, Max Qiushi Lin, Mo Chen +1Markov Decision Processes Exponential Horizon Dependence
Offline Policy Evaluation for Manipulation Policies via Discounted Liveness Formulation
May 12, 2026Hao Wang, Joshua Bowden, Colton Crosby +1Robot Policies Exponential Horizon Dependence
Multi-Environment POMDPs with Finite-Horizon Objectives
May 8, 2026Léonard Brice, Filip Cano, Krishnendu Chatterjee +2Partially Observable Markov Decision Process Markov Decision Processes
Learning to Spend: Model Predictive Control for Budgeting under Non-Stationary Returns
Apr 29, 2026Nilavra Pathak, Smriti Shyamal, Prasant Mhasker +1Model Predictive Control Exponential Horizon Dependence
Cooptimizing Safety and Performance Using Safety Value-Constrained Model Predictive Control
Apr 26, 2026Hao Wang, Nam Nguyen, Armand Jordana +2Model Predictive Control Safety Constraints
Observed Control - Linearly Scalable Nonlinear Model Predictive Control with Adaptive Horizons
Aug 18, 2025Eugene T. Hamzezadeh, Andrew J. PetruskaModel Predictive Control Exponential Horizon Dependence

Sep 14, 2026 · math.OCJ/K move · Enter open · S save

Linear Exponential Quadratic Gaussian Covariance Steering

Chiran B. Cherian, Yasemin Isik, Abhishek Halder

We formulate and analyze the linear exponential quadratic Gaussian (LEQG) covariance steering problem in continuous time over a given deadline (finite time horizon). The solution for this problem can be seen as a risk-sensitive Schr"{o}dinger bridge between Gaussian endpoints in the linear quadratic setting. Unlike the risk-neutral case, the LEQG covariance steering controller--still a linear state feedback--can no longer be written in closed form. We show that the optimal controller is parameterized by a symmetric matrix solving an algebraic equation that encodes the implicit dependence on the risk-sensitivity parameter. We explain how the structure of this optimal controller significantly generalizes the existing results for the risk-neutral case. Building on these results, for the matched noise and input channel case, we prove the existence-uniqueness of solution for the LEQG covariance steering problem in the neighborhood of the known risk-neutral optimal solution. We give an illustrative numerical example.

Linear Quadratic Regulator Covariance Estimation Conditional-Value-At-Risk Exponential Horizon Dependence Schrödinger Bridges

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