Evaluating generative models is a crucial aspect of assessing their quality, diversity, and realism, especially as these models are increasingly used in critical applications like image synthesis, video generation, and data augmentation.
Reliable evaluation metrics help researchers and practitioners compare different models, optimize training, and ensure generated outputs meet desired standards.
Popular metrics such as the Fréchet Inception Distance (FID), Inception Score (IS), and various perceptual metrics provide quantitative ways to assess generative model performance beyond subjective visual inspection.
Generative models produce synthetic data samples that ideally resemble real data distributions. Evaluating these models requires methods that capture both the realism of individual samples and the diversity of generated data.
Fréchet Inception Distance (FID)
FID measures the distance between feature distributions of real and generated images using the embeddings from a pretrained Inception network.
1. Assumes features follow a multivariate Gaussian distribution.
2. Computes the Fréchet distance between two Gaussians parameterized by means and covariances of real and fake data features.
Mathematically:
Where,
Benefits: Effectively capture the similarity between real and generated data distributions, ensuring that the model’s outputs closely mirror authentic patterns.
It is also highly sensitive to both the quality and diversity of generated images, making it a reliable measure for evaluating how well a generative model balances realism and variety.
Limitations: Assumption of Gaussianity, which may not hold accurately across all datasets and can lead to misleading evaluations.
Additionally, it requires a sufficiently large number of samples to produce stable and reliable estimates, making it less effective in scenarios with limited data.
IS evaluates the quality and diversity of generated images using the pretrained Inception model by analyzing predicted label distributions.
1. High-quality images result in low entropy (peaky) class distributions.
2. Diversity is measured by the marginal distribution’s entropy over generated samples.
IS formula:
Where,
Benefits: It is simple and fast to compute, making it practical for large-scale evaluations. It also effectively reflects both the quality and diversity of generated images, providing a balanced measure of model performance.
Limitations: It does not compare generated samples directly to the real data distribution, reducing its ability to measure true fidelity.
It is also sensitive to biases present in the pretrained network used for evaluation, which can skew results. Additionally, it is not suitable for datasets without clear class labels, limiting its applicability across diverse domains.
Perceptual metrics assess similarity based on human perception rather than pixel-level error, often using deep neural network embeddings.
1. LPIPS (Learned Perceptual Image Patch Similarity): Measures perceptual similarity using learned deep features, correlates well with human judgment.
2. MS-SSIM (Multi-Scale Structural Similarity): Assesses structural similarity across scales, useful for perceptual image quality.
3. Other custom metrics combine color, texture, and structural cues.
Perceptual metrics provide insight into the visual quality of generated content important in artistic and media applications.

Combining multiple metrics yields a more comprehensive evaluation view.