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cs.IT updates on arXiv.org

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
Game of Coding: Sybil Resistant Decentralized Machine Lea...
Hanzaleh Akbari Nodehi, Viveck R. Cadambe, Mohammad Ali Maddah-A · 2024-10-08 · via cs.IT updates on arXiv.org

Coding theory plays a crucial role in ensuring data integrity and reliability across various domains, from communication to computation and storage systems. However, its reliance on trust assumptions for data recovery, which requires the number of honest nodes to exceed adversarial nodes by a certain margin, poses significant challenges, particularly in emerging decentralized systems where trust is a scarce resource. To address this, the game of coding framework was introduced, offering insights into strategies for data recovery within incentive-oriented environments. In such environments, participant nodes are rewarded as long as the system remains functional (live). This incentivizes adversaries to maximize their rewards (utility) by ensuring that the decoder, as the data collector (DC), successfully recovers the data, preferably with a high estimation error. This rational behavior is leveraged in a game-theoretic framework, where the equilibrium leads to a robust and resilient system, referred to as the game of coding. The focus of the earliest version of the game of coding was limited to scenarios involving only two nodes. In this paper, we generalize the game of coding framework to scenarios with $N \ge 2$ nodes, exploring critical aspects of system behavior. Specifically, we (i) demonstrate that the adversary's utility at equilibrium is non-increasing with additional adversarial nodes, ensuring no gain for the adversary and no pain for the DC, thus establishing the game of coding framework's Sybil resistance; (ii) show that increasing the number of honest nodes does not always enhance the DC's utility, providing examples and proposing an algorithm to identify and mitigate this counterintuitive effect; and (iii) outline the optimal strategies for both the DC and the adversary, demonstrating that the system achieves enhanced liveness at equilibrium.