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Robust Distributed Compression with Learned Heegard-Berger Scheme: Neural Network-Based Solutions for Lossy Source Coding


Основні поняття
The author proposes learning-based schemes for lossy compression in the absence of decoder-only side information, mimicking the achievability part of the Heegard–Berger theorem and operating close to information-theoretic bounds.
Анотація

In this work, the authors address lossy compression scenarios without decoder-only side information. They propose learning-based schemes that align with the Heegard–Berger theorem, achieving results close to theoretical bounds. The study explores neural network compressors that adapt to various scenarios, recovering both Wyner-Ziv and point-to-point coding strategies. By leveraging artificial neural networks' universal function approximation capabilities, the proposed solutions offer constructive approaches in non-asymptotic blocklength regimes. The research delves into operational neural Heegard–Berger schemes, visualizing learned encoders and decoders that exhibit binning-like behavior akin to theoretical frameworks. Through comprehensive experiments and comparisons, the study showcases how these learned compressors adapt to different distortion constraints and achieve competitive solutions in distributed source coding.

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Статистика
D∗(R) = βD∗1 + (1 − β)D∗2 R(D1, D2) = 1/2 log(σx^2 * ∆1) + 1/2 log((σn^2 * ∆1)/(∆2(∆1 + σn^2))) D−1 = 2^-2Rσx^2, D+1 = σx^2 D−2 = 2^-2R(σx^(-2) + σn^(-2))^(-1), D+2 = (22Rσx^(-2) + σn^(-1))^(-1)
Цитати
"We propose learning-based schemes that are amenable to the availability of side information." "Our learned compressors mimic the achievability part of the Heegard–Berger theorem." "These results offer empirical evidence that learned distributed compressors can achieve competitive constructive solutions."

Ключові висновки, отримані з

by Eyyup Tasci,... о arxiv.org 03-14-2024

https://arxiv.org/pdf/2403.08411.pdf
Robust Distributed Compression with Learned Heegard-Berger Scheme

Глибші Запити

How do these neural compressors compare to traditional handcrafted frameworks like DISCUS

The neural compressors proposed in the study exhibit similarities and differences compared to traditional handcrafted frameworks like DISCUS. One key similarity is that both approaches aim to efficiently compress information from physically separated encoders in distributed source coding scenarios. However, the neural compressors leverage artificial neural networks (ANNs) for learning-based solutions, allowing them to adapt and discover binning mechanisms without imposing specific structures onto the design. On the other hand, traditional frameworks like DISCUS rely on predefined algorithms and strategies for compression. In terms of performance, the learned neural compressors have shown promising results in emulating optimal theoretical solutions for lossy source coding problems where side information may be absent. They operate close to information-theoretic bounds and demonstrate adaptability to robust scenarios by recovering characteristics of both Wyner-Ziv (WZ) coding strategies and standard lossy source coding methods without prior knowledge of source statistics. Overall, while traditional handcrafted frameworks provide established methodologies for distributed compression, the flexibility and adaptability offered by neural network-based approaches make them a compelling alternative with potential for further advancements in efficiency and performance.

What implications do these findings have for real-world applications of distributed source coding

The findings from this research on learned Heegard-Berger schemes have significant implications for real-world applications of distributed source coding. By developing learning-based solutions that can effectively handle scenarios where decoder-only side information may be absent, these neural compressors offer practical benefits in various fields such as sensor networks, image processing systems, communication technologies, and more. One major implication is improved robustness in distributed compression systems when faced with link failures or unreliable channels that hinder communication between nodes. The ability of these learned compressors to recover optimal R-D trade-offs closely resembling theoretical bounds enhances their applicability in scenarios where system failure due to missing side information needs mitigation. Furthermore, advancements in neural network technology enable these models to learn complex encoding strategies without explicit structure imposition based on source statistics. This adaptability allows for efficient data compression tailored to specific application requirements while maintaining competitive performance levels.

How might advancements in neural network technology further enhance robustness in distributed compression systems

Advancements in neural network technology hold great promise for further enhancing robustness in distributed compression systems through continued research and development efforts. Some key ways these advancements could contribute include: Improved Learning Capabilities: Enhanced architectures such as deep learning models with increased depth or novel components like attention mechanisms can improve the learning capabilities of neural compressors. This can lead to better adaptation to diverse data distributions and more effective utilization of available resources. Dynamic Adaptation: Incorporating reinforcement learning techniques into training processes can enable neural compressors to dynamically adjust their encoding strategies based on changing environmental conditions or input data characteristics. This adaptive behavior would enhance resilience against uncertainties or variations within a system. Efficient Resource Allocation: Advanced optimization algorithms tailored specifically for distributed compression tasks could optimize resource allocation across multiple nodes more effectively than conventional methods. Neural networks can learn intricate resource management policies leading to improved overall system efficiency. 4Interpretability: Developing techniques that enhance interpretability of learned models will be crucial for real-world deployment of advanced neural network-based compressed sensing systems.
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