Metrics Implementation

Interactive Explorer 1

Explore key concepts interactively

Parameters

Quick Check

Key concept question for section 1?

Option A

Option B

Option C

Common Mistake: Common Mistake in Section 1

Mistake:

Overlooking a critical implementation detail.

Correction:

Always verify results against known benchmarks and theoretical predictions.

Key Term 1

Core concept from section 1 of chapter 44.

Definition:

Peak Signal-to-Noise Ratio (PSNR)

PSNR=10log10max(x)2MSE\text{PSNR} = 10\log_{10}\frac{\max(x)^2}{\text{MSE}}$

Higher is better. Rule of thumb: PSNR > 30 dB is good, > 40 dB is excellent.

Definition:

Structural Similarity (SSIM)

SSIM(x,y)=(2μxμy+c1)(2σxy+c2)(μx2+μy2+c1)(σx2+σy2+c2)\text{SSIM}(x, y) = \frac{(2\mu_x\mu_y + c_1)(2\sigma_{xy} + c_2)}{(\mu_x^2 + \mu_y^2 + c_1)(\sigma_x^2 + \sigma_y^2 + c_2)}SSIMSSIM\in [-1, 1]$, where 1 means identical. Captures luminance, contrast, and structure.

Definition:

Hydra Configuration

Hydra manages hierarchical YAML configurations:

# config.yaml
model:
  type: unet
  depth: 4
training:
  lr: 1e-3
  epochs: 100

Override from CLI: python train.py model.depth=6 training.lr=1e-4