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The Capacity of the Noisy Torn Paper Channel and the Noisy Shuffling Channel
Junsheng Liu, Netanel Raviv
The torn paper channel breaks a codeword into fragments and returns all fragments without their original order. The noisy torn paper channel additionally introduces bit substitutio…
Protecting Sensitive Data in Image Synthesis via PAC-Private Adaptation for Diffusion Models
Boming Miao, Tao Zhang, Netanel Raviv +3
Synthetic data are increasingly used as an alternative to sharing sensitive records. However, synthetic data generation does not guarantee privacy, as diffusion models trained or a…
Capacity Achieving Torn Paper Codes
Junsheng Liu, Netanel Raviv
In the torn paper channel, a codeword is cut at random locations, and the resulting error-free fragments are delivered to the decoder as an unordered multiset. Although the capacit…
Improved Torn Paper Coding via Local Alignment
Junsheng Liu, Netanel Raviv
In the torn paper channel, a transmitted codeword is broken at random locations into fragments that arrive at the decoder in an unordered manner. A central theoretical challenge wi…
Closed-Form Gaussian Estimators for Multi-Source Partial Information Decomposition
Aobo Lyu, Andrew Clark, Netanel Raviv
Computing multi-source partial information decomposition (PID) for continuous data is hard: existing closed-form Gaussian estimators are restricted to two source variables, while c…
Structural Impossibility of Antichain-Lattice Partial Information Decomposition
Aobo Lyu, Andrew Clark, Netanel Raviv
Partial Information Decomposition (PID) represents multivariate mutual information via antichain-lattice that aims to specify which source groups can recover which informational co…
Break-Resilient Codes with Loss Tolerance
Canran Wang, Minghui Liwang, Netanel Raviv
Emerging applications in manufacturing, wireless communication, and molecular data storage require robust coding schemes that remain effective under physical distortions where code…