notesum.ai

Published at December 5

cs.CR

Released Date: December 5, 2024

Authors: Puspanjali Ghoshal¹, Ashok Singh Sairam¹

Aff.: ¹Indian Institute of Technology, Guwahati, Assam, India

Notation	Definition
$N$	Number of agents
$\mathbf{y_{i}}$	Observation tuple of agent $i$
$\mathbf{y}(\text{or }\mathbf{y_{i}})$ , $T(\mathbf{y})(\text{or }T(\mathbf{y_{i}}))$	Raw and sanitized observation (of agent $i$ )
$u_{i}(T)$	Utility of the data of agent $i$ retained after sanitization
$p_{i}(T)$	Privacy attained by agent $i$ by sanitization
$\epsilon_{i}$	Utility level required by agent $i$
$l$	Length of the sides of the square grid cells that the observation area is partitioned into
$\|\|.\|\|_{F}$	Frobenius norm of matrix
$\|\|.\|\|$	$l^{2}$ norm of tuples