Symbol	Description
$\mathcal{D}$	Training dataset
$x_i$	Feature vector of sample $i$
$y_i$	Class label of sample $i$
$C$	Number of attack categories
$\mathcal{T}$	Teacher network
$\mathcal{S}$	Student network
${\theta }_T,{\theta }_S$	Parameters of teacher/student networks
${\mathcal{L}}_{KD}$	Knowledge distillation loss
${\mathcal{L}}_{CE}$	Cross-entropy loss
${\mathcal{L}}_{KL}$	Kullback–Leibler divergence
$T$	Temperature parameter for distillation
$\alpha$	Loss balancing coefficient
${\mathrm{q}}_{\mathrm{b}}$	Quantization bit-width
$\tau \left(\mathrm{t}\right)$	Threat level at time $\mathrm{t}$
$\beta$	Exponential smoothing parameter
$\mathrm{W}$	Window size for threat estimation
${\mathrm{E}}_{\mathrm{I}\mathrm{D}\mathrm{S}}$	Energy consumption of IDS module
${\mathrm{E}}_{\mathrm{M}\mathrm{A}\mathrm{C}}$	Energy per multiply–accumulate operation
${\mathrm{E}}_{\mathrm{m}\mathrm{e}\mathrm{m}}$	Memory access energy per neuron
${\gamma }_{\mathrm{n}}\left(\mathrm{t}\right)$	Carbon intensity at node $\mathrm{n}$, time $\mathrm{t}$
${\rho }_{\mathrm{n}}\left(\mathrm{t}\right)$	Renewable energy fraction
${\mathrm{x}}_{\mathrm{j},\mathrm{n},\mathrm{t}}$	Scheduling decision variable
${\mathrm{E}}_{\mathrm{j}}$	Energy requirement of job $\mathrm{j}$
${\mathrm{P}}_{\mathrm{n}}^{\mathrm{m}\mathrm{a}\mathrm{x}}$	Maximum power capacity of node $\mathrm{n}$
${\mathrm{D}}_{\mathrm{j}}$	Deadline of job $\mathrm{j}$
${\omega }_{\mathrm{j}}$	Security priority weight
$\mathrm{K}$	Total number of participating nodes
$\mathrm{G}$	Number of node groups
${\mathrm{F}}_{\mathrm{k}}\left(\theta \right)$	Local objective function
$\mathrm{F}\left(\theta \right)$	Global objective function
Acronym	Definition
IDS	Intrusion Detection System
EEIDM	Energy-Efficient Intrusion Detection Module
LCE	Lightweight Cryptographic Engine
HFLC	Hierarchical Federated Learning Coordinator
CASE	Carbon-Aware Scheduling Engine
KD	Knowledge Distillation
FL	Federated Learning
ASCON	Authenticated Encryption Standard
ECDH	Elliptic Curve Diffie-Hellman
AUC	Area Under ROC Curve
ROC	Receiver Operating Characteristic