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Diffusion Models

Generative architecture that uses a progressive process of adding and removing noise to transform data into pure noise and then reconstruct realistic samples. These models excel in generating high-quality images with superior training stability compared to GANs.

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Forward Diffusion Process

Training phase where Gaussian noise is progressively added to the original data over several time steps to reach a pure noise distribution. This Markov process is designed to be mathematically reversible and predictable.

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Reverse Diffusion Process

Generation phase where a neural network learns to progressively denoise a pure noise distribution to reconstruct coherent data. This process is guided by estimating the score gradient of the data distribution.

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DDPM (Denoising Diffusion Probabilistic Models)

Fundamental class of diffusion models introduced by Ho et al. in 2020, using a linear variance schedule and a noise prediction objective. DDPM establishes the mathematical foundations for modern diffusion architectures.

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Noise Schedule

Temporal parameter controlling the amount of noise added at each step of the forward diffusion process. A well-designed schedule optimizes the balance between information preservation and denoising efficiency.

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Classifier-Free Guidance

Generation control technique that combines conditional and unconditional predictions to improve text fidelity without requiring an external classifier. This method allows fine control of generation while preserving diversity.

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Latent Diffusion Models

Architecture optimizing diffusion models by working in a compressed latent space rather than directly in pixel space. This approach drastically reduces computational costs while maintaining high generation quality.

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Ancestral Sampling

Stochastic sampling method that combines deterministic denoising with controlled noise addition to improve the diversity of generated samples. This technique balances quality and creativity in generation.

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Diffusion Timesteps

Discrete number of steps used in the diffusion process, typically between 100 and 1000 steps for an optimal quality-performance tradeoff. The selection of timesteps directly influences the fine detail of generated samples.

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Denoising U-Net

Neural architecture with residual connections and attention, specifically designed to predict and remove noise at each diffusion step. The U-Net structure effectively preserves spatial information while capturing global dependencies.

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Stochastic Differential Equations

Continuous mathematical formulation unifying the forward and reverse diffusion processes within a rigorous theoretical framework. This approach enables theoretical analysis and the development of new sampling algorithms.

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Conditional Diffusion

Extension of diffusion models incorporating external conditions like text, images, or classes to guide the generation. This approach allows precise control over the characteristics of generated samples.

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Guidance Scale

Parameter controlling the influence of conditions on the generation process, allowing adjustment of the tradeoff between fidelity and creativity. A high scale strengthens adherence to instructions while a low scale promotes diversity.

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Progressive Resampling

Iterative improvement technique applying multiple denoising cycles to refine details and correct artifacts. This method optimizes the final quality of generations at the cost of increased computation time.

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Cross-Attention

Attention mechanism allowing diffusion models to effectively merge textual and visual information during denoising. This architecture is crucial for semantic coherence in text-to-image generation.

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DDIM (Denoising Diffusion Implicit Models)

Deterministic variant of diffusion models enabling accelerated sampling with fewer steps while preserving quality. DDIM transforms the stochastic process into a non-Markovian deterministic mapping.

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