Explain the process of implementing the Variational Quantum Eigensolver (VQE) algorithm on a NISQ device. Discuss the challenges posed by noise and decoherence. Propose an optimization strategy for the ansatz (parameterized quantum circuit) to reduce circuit depth while maintaining computational accuracy. Compare your proposed method with standard error mitigation techniques such as Zero-Noise Extrapolation, focusing on the trade-offs between resource overhead and fidelity.