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Task-Oriented Lossy Compression With Data, Perception, and Classification Constraints

delete2025-07-01
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PRE
AI
Y
Yuhan Wang
Y
Youlong Wu
S
Shuai Ma
张影 cover
张影 (Ying–Jun Angela Zhang)
DOI:10.1109/JSAC.2025.3559164delete
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Abstract

Abstract

En 中文
By extracting task-relevant information while maximally compressing the input, the information bottleneck (IB) principle has provided a guideline for learning effective and robust representations of the target inference. However, extending the idea to the multi-task learning scenario with joint consideration of generative tasks and traditional reconstruction tasks remains unexplored. This paper addresses this gap by reconsidering the lossy compression problem with diverse constraints on data reconstruction, perceptual quality, and classification accuracy. Firstly, we study two ternary relationships, namely, the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">rate-distortion-classification (RDC)</i> and <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">rate-perception-classification (RPC)</i>. For both RDC and RPC functions, we derive the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">closed-form expressions</i> of the optimal rate for binary and Gaussian sources. These new results complement the IB principle and provide insights into effectively extracting task-oriented information to fulfill diverse objectives. Secondly, unlike prior research demonstrating a tradeoff between classification and perception in signal restoration problems, we prove that such a tradeoff does not exist in the RPC function and reveal that the source noise plays a decisive role in the classification-perception tradeoff. Finally, we implement a deep-learning-based image compression framework, incorporating multiple tasks related to distortion, perception, and classification. The experimental results coincide with the theoretical analysis and verify the effectiveness of our generalized IB in balancing various task objectives.
Keywords:
Information bottleneck
lossy compression
task-oriented communication
rate-distortion theory
perceptual quality

Journal

IEEE Journal on Selected Areas in Communications cover
IEEE Journal on Selected Areas in Communications
IF:
17.2
Papers:
6.4K
Citations:
3.1W

Organization

T
The Chinese University of Hong Kong
Scholars:
3.8K
Papers: 1.9K
Citations: 3
P
Peng Cheng Laboratory
Scholars:
1.7K
Papers: 1.7K
Citations: 2.0K
S
ShanghaiTech University
Scholars:
9.5K
Papers: 5.9K
Citations: 1.6W
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