Functional Covering of Point Processes
Autor: | Nirmal V. Shende, Aaron B. Wagner |
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Rok vydání: | 2023 |
Předmět: |
FOS: Computer and information sciences
Computer science Computer Science - Information Theory Information Theory (cs.IT) Data_MISCELLANEOUS ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION Feed forward 020206 networking & telecommunications Data_CODINGANDINFORMATIONTHEORY 02 engineering and technology Function (mathematics) Poisson distribution Topology Measure (mathematics) Point process symbols.namesake Distortion 0202 electrical engineering electronic engineering information engineering symbols Media Technology Intensity (heat transfer) |
Zdroj: | ISIT |
ISSN: | 2641-8770 |
DOI: | 10.1109/jsait.2023.3279194 |
Popis: | We introduce a new distortion measure for point processes called functional-covering distortion. It is inspired by intensity theory and is related to both the covering of point processes and logarithmic loss distortion. We obtain the distortion-rate function with feedforward under this distortion measure for a large class of point processes. For Poisson processes, the rate-distortion function is obtained under a general condition called constrained functional-covering distortion, of which both covering and functional-covering are special cases. Also for Poisson processes, we characterize the rate-distortion region for a two-encoder CEO problem and show that feedforward does not enlarge this region. |
Databáze: | OpenAIRE |
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