Fig. 5: The decision variables of DES 7 obtained on data of 6 Nov 2023. | Nature Communications

Fig. 5: The decision variables of DES 7 obtained on data of 6 Nov 2023.

From: Break down the decentralization-security-privacy trilemma in management of distributed energy systems

Fig. 5

a The optimal value of the original decision vector whose length is 1536. The original decision vector embeds important information of DES 7. b The optimal values of the publicly-exposed masked decision vector whose length is 716. It has a lower dimension and the values are distributed irregularly. Only DES 7 can recover the original vector. DES 5, 8, and 9 can also learn a part of the original vector. For example, the terms marked red (2) and light green (3) are available to DES 5 because they are related to power transmission between DES 7 and 5. c The eigenvalues of the encrypted quadratic cost function matrix \({{{{{{{{\bf{H}}}}}}}}}_{i}^{{\prime} }\)(see Methods for definition) of DES 7 in ascending order, from which the actual bid cost functions are also hided. Source data are provided as a Source Data file.

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