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Theoretical Limits of Language Model Alignment $f$-Divergence Regularized RLHF: Two Tales of Sampling and Unified Analyses A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Models When Can Voting Help, Hurt, or Change Course? Exact Structure of Binary Test-Time Aggregation When Semantic Communication Meets Queueing: Cross-Layer Latency and Task Fidelity Optimization Convexity in Disguise: A Theoretical Framework for Nonconvex Low-Rank Matrix Estimation Conditional Diffusion Under Linear Constraints: Langevin Mixing and Information-Theoretic Guarantees Sharp Capacity Thresholds in Linear Associative Memory: From Winner-Take-All to Listwise Retrieval Expert Routing for Communication-Efficient MoE via Finite Expert Banks Contextual Memory-Enhanced Source Coding for Low-SNR Communications Realizable Bayes-Consistency for General Metric Losses Leveraging Code Automorphisms for Improved Syndrome-Based Neural Decoding A Hierarchical Sampling Framework for bounding the Generalization Error of Federated Learning Dueling DDQN-Based Adaptive Multi-Objective Handover Optimization for LEO Satellite Networks The Causal Description Gap: Information-Theoretic Separations Across Pearl's Hierarchy Optimization of CV-QKD Under Practical Constraints Benchmarking Wireless Representations: High-Dimensional vs. Compressed Embeddings for Efficiency and Robustness Real-Time Text Transmission via LLM-Based Entropy Coding over Fixed-Rate Channels SwiftChannel: Algorithm-Hardware Co-Design for Deep Learning-Based 5G Channel Estimation Evolving Token Communication with Parametric Memory Network Remote Action Generation: Remote Control with Minimal Communication The (Marginal) Value of a Search Ad: An Online Causal Framework for Repeated Second-price Auctions Stabilizing Private LASSO under Heterogeneous Covariates via Anisotropic Objective Perturbation Linear-Readout Floors and Threshold Recovery in Computation in Superposition Soft Graph Diffusion Transformer for MIMO Detection Hierarchical Federated Learning for Networked AI: From Communication Saving to Architecture-Aware Design Exponential families from a single KL identity MIFair: A Mutual-Information Framework for Intersectionality and Multiclass Fairness Diffusion-OAMP for Joint Image Compression and Wireless Transmission Decoupled Descent: Exact Test Error Tracking Via Approximate Message Passing
Social Optimal Freshness in Multi-Source, Multi-Channel S...
Shiksha Singhal, Veeraruna Kavitha, Vidya Shankar · 2023-10-03 · via cs.IT updates on arXiv.org

Many systems necessitate frequent and consistent updates of a specific information. Often this information is updated regularly, where an old packet becomes completely obsolete in the presence of a new packet. In this context, we consider a system with multiple sources, each equipped with a storage buffer of size one, communicating to a common destination via d orthogonal channels. In each slot, the packets arrive at each source with certain probability and occupy the buffer (by discarding the old packet if any), and each transfer (to the destination) is successful with certain other probability. Thus in any slot, there are two (Age of Information) AoI-measures for each source: one corresponding to the information at the source itself and the other corresponding to the information of the same source available at the destination; some sources may not even have the packet to transmit. The aim of the controller at the destination is to maintain the freshness of information of all the sources, to the best extent possible -- it aims to design an optimal scheduling policy that assigns in each slot, a subset of sources with packets (at maximum d) for transmission. This is achieved using an appropriate Markov Decision Process (MDP) framework, where the objective function is the sum of Average AoIs (AAoI) of all the sources. We derive a very simple stationary policy that is epsilon-optimal -- in any slot, order the sources with packets in the decreasing order of the differences in AoI at the destination and the source and choose the top sources for transmission. With moderate number of sources (less than 30), the AAoI reduces in the range of 30-90%.