# Comments on Cut-Set Bounds on Network Function Computation

@article{Huang2015CommentsOC, title={Comments on Cut-Set Bounds on Network Function Computation}, author={Cupjin Huang and Zihan Tan and Shenghao Yang and Xuan Guang}, journal={IEEE Transactions on Information Theory}, year={2015}, volume={64}, pages={6454-6459} }

A function computation problem over a directed acyclic network has been considered in the literature, where a sink node is required to compute a target function correctly with the inputs arbitrarily generated at multiple source nodes. The network links are error free but capacity limited, and the intermediate nodes perform network coding. The computing rate of a network code is the average number of times that the target function is computed for one use of the network, i.e., each link in the…

## 12 Citations

### Improved Upper Bound on the Network Function Computing Capacity

- Computer Science, MathematicsIEEE Transactions on Information Theory
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This paper obtains an improved upper bound on the computing capacity, which is applicable to arbitrary target functions and arbitrary network topologies, and applies this bound to the problem of computing a vector-linear function over a network.

### An Enhanced Capacity Bound for Network Function Computation

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### Function Load Balancing Over Networks

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### Secure Network Function Computation for Linear Functions - Part I: Source Security

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An upper bound on the secure computing capacity is proved, which is applicable to arbitrary network topologies and arbitrary security levels, and an equivalent expression of the upper bound is obtained by using a graph-theoretic approach and accordingly an efﬁcient approach for computing this bound is developed.

### Network Function Computation With Different Secure Conditions

- Computer Science, MathematicsArXiv
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In this paper, we investigate function computation problems under different secure conditions over a network with multiple source nodes and a single sink node which desires a function of all source…

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The generic capacity of the symmetric LCBC for large number of users for every user has m ′ dimensions of side-information and m dimensions of demand is shown, which is at least as hard as the index coding problem.

### Communication-efficient Clock Synchronization

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### Hyper Binning for Distributed Function Coding

- Computer Science2020 IEEE 21st International Workshop on Signal Processing Advances in Wireless Communications (SPAWC)
- 2020

We consider the distributed source encoding problem with 2 correlated sources X1 and X2 and a destination that seeks the outcome of a continuous function f(X1, X2). We develop a compression scheme…

### Expand-and-Randomize: An Algebraic Approach to Secure Computation

- Computer Science, MathematicsEntropy
- 2021

This paper considers the secure computation problem in a minimal model, where Alice and Bob each holds an input and wish to securely compute a function of their inputs at Carol without revealing any additional information about the inputs, and proposes a novel coding scheme built from two steps.

### A Distributed Computationally Aware Quantizer Design via Hyper Binning

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This work designs a distributed function-aware quantization scheme for distributed functional compression and develops a compression scheme called hyper binning that captures the correlation between the sources and the function's structure as a means of dimensionality reduction.

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