> For the complete documentation index, see [llms.txt](https://lynlabs.gitbook.io/lyn/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://lynlabs.gitbook.io/lyn/ai-modeling-research/from-video-to-movie-composite-video-editing-and-rhf-for-quality/videogen-of-thought.md).

# VideoGen-of-Thought

Generating long, coherent, and visually consistent videos is a complex problem, requiring sophisticated modeling of both content and temporal coherence. Current video generation models often struggle with maintaining consistency across different frames, particularly when generating long videos. To address this challenge, we present ***VideoGen-of-Thought***, a four-module framework designed to generate long videos by dividing the video generation process into manageable stages: script generation, keyframe production, shot-level video creation, and video smoothing. By leveraging large language models (LLMs) and advanced image and video generation techniques, we develop a structured approach to generate high-quality videos with a clear narrative over extended periods.

Our approach is inspired by the "thought process" behind the creation of long videos, as if an AI-driven movie director constructs the scenes step-by-step. Each module operates sequentially, with Module-1 generating textual descriptions of each video shot, Module-2 generating keyframes, Module-3 converting those keyframes into videos, and Module-4 handling transitions and camera adjustments. Each module is modeled mathematically to ensure the consistency of avatars, environments, and transitions across the entire video.

#### Module 1: Script Generation

The first module in the VideoGen-of-Thought framework is the *Script Generation Module*, responsible for converting a high-level story input into fine-grained textual prompts, each corresponding to a short 2-5 second segment of the final video. This module ensures that the video narrative is well-structured, with each scene described in sufficient detail to guide the subsequent keyframe and video generation steps.

The input to this module is a simple text-based story description s, the module then generates a series of shot scripts S, each capturing a different part of the narrative. For each story segment s\_i, the large language model (LLM) generates detailed shot descriptions that include five key domains: character, background, relation, camera pose, and HDR description. Each aspect is denoted by the following symbols:

* p\_i: Character description
* b\_i: Background description
* r\_i: Relation between characters and elements in the scene
* c\_i: Camera pose description
* h\_i: HDR lighting and tone details

Additionally, the LLM will specify an image path for each character's face ID to ensure consistency in the generated keyframes. The script generation task is modeled as a sequence generation problem using a pre-trained large language model (LLM). Given an input story S, represented as a sequence of story segments S = {s\_1, s\_2, ..., s\_n}, where each s\_i corresponds to a specific section of the narrative, the module generates a set of descriptive prompts P = {p\_1, p\_2, ..., p\_m}. Each p\_j is a textual description of a video shot, capturing the five domains mentioned above.

This process can be formalized as:

$$
p\_j = \mathcal{M}\_{\text{LLM}}(s\_i, t\_j, c\_i, b\_i, r\_i, p\_i, h\_i)
$$

where t\_j represents the time interval for the j-th shot, and M\_{LLM} is the large language model responsible for generating the prompt based on the story segment s\_i and the shot-specific details c\_i, b\_i, r\_i, p\_i, and h\_i. The generated prompt sequence P serves as the input for the keyframe generation process in Module 2.

The LLM is conditioned on both the current story segment s\_i and the previously generated prompts p\_{j-1} to maintain narrative coherence and avoid abrupt transitions between scenes. The algorithm for script generation is iterative, producing a prompt for each video shot:

<figure><img src="/files/wdkFlEtAzjO23PamVWRo" alt=""><figcaption></figcaption></figure>

By breaking the story into these structured time intervals and shot descriptions, the Script Generation Module ensures a detailed and coherent narrative structure, which forms the foundation for generating visually consistent and temporally coherent videos in the subsequent stages.

#### Module 2: Keyframe Generation

The second module in the *VideoGen-of-Thought* framework is the *Keyframe Generation Module*, responsible for converting the textual descriptions from Module 1 into visual keyframes. These keyframes act as essential anchors for the subsequent video generation process, ensuring that each shot is visually represented with consistency. The main challenge of this module lies in maintaining visual coherence across keyframes, especially in terms of the appearance of characters (avatars), backgrounds, and other significant elements throughout the video.

We address this challenge by combining a text-to-image generation process based on diffusion models with an identity-preserving (IP) embedding strategy inspired by the IP-Adapter model. This ensures that the generated keyframes remain visually consistent across consecutive shots.

**Diffusion Models for Keyframe Generation.** The keyframe generation process in the *VideoGen-of-Thought* framework uses denoising diffusion probabilistic models (DDPMs), which are highly effective for image generation tasks. A diffusion model progressively corrupts an image x\_0 by adding Gaussian noise over T time steps, resulting in a noisy latent variable x\_T. The reverse process then denoises this noisy sample back into the clean image x\_0.

In the forward process, Gaussian noise is added to the image x\_0 at each step, governed by the transition distribution:

$$
q(x\_t | x\_{t-1}) = \mathcal{N}(x\_t; \sqrt{1 - \beta\_t} x\_{t-1}, \beta\_t \mathbf{I})
$$

where \beta\_t is the noise variance, and **I** is the identity matrix. Over T steps, this process transforms the initial image into pure noise.

In the reverse process, the model learns to recover the clean image x\_0 by predicting and removing the added noise at each step. The reverse transition is defined as:

$$
p\_\theta(x\_{t-1} | x\_t) = \mathcal{N}(x\_{t-1}; \mu\_\theta(x\_t, t), \Sigma\_\theta(x\_t, t))
$$

where \mu\_\theta and \Sigma\_\theta are the predicted mean and variance. During training, the model minimizes the difference between the actual and predicted noise using the following loss:

$$
\mathcal{L}{\text{diffusion}} = \mathbb{E}{x\_0, \epsilon \sim \mathcal{N}(0, \mathbf{I}), t} \left\[ | \epsilon - \epsilon\_\theta(x\_t, t) |^2 \right]
$$

Given a textual prompt p\_j, the keyframe I\_j is generated using a pre-trained text-to-image model M\_{T2I}, conditioned on the text prompt p\_j. This process can be formalized as:

$$
I\_j = \mathcal{M}\_{\text{T2I}}(p\_j) = x\_0
$$

where x\_0 is the clean image output from the diffusion process after denoising.

**IP Embedding with Decoupled Cross-Attention Mechanism.** To maintain visual consistency across keyframes, we incorporate an identity-preserving (IP) embedding strategy, inspired by the IP-Adapter model. This approach ensures that recurring visual elements, such as avatars, retain consistent appearances across multiple shots through a decoupled cross-attention mechanism.

In typical diffusion models, cross-attention layers integrate text features into the image generation process. Let Q, K, and V represent the query, key, and value matrices. The attention mechanism, where Q is derived from the image features and K and V from text features, is defined as:

$$
\text{Attention}(Q, K, V) = \text{Softmax}\left( \frac{Q K^\top}{\sqrt{d\_k}} \right) V,
$$

To enhance visual coherence, we decouple the cross-attention by introducing an additional block that considers the visual features of the previous keyframe. This mechanism ensures that each keyframe not only matches the text prompt but also maintains visual consistency with the previous frame. The updated attention can be written as:

$$
Z\_{\text{new}} = \text{Attention}(Q, K, V) + \lambda \cdot \text{Attention}(Q, K', V'),
$$

where K' and V' represent the key and value matrices from the visual features of the previous keyframe, and \lambda balances the influence between the current and previous frames. This approach ensures smooth transitions in the visual representation of characters, backgrounds, and objects.

**Keyframe Generation Process.** The function of the *Keyframe Generation Module* is to create visual keyframes that correspond to the textual prompts generated by the script in Module 1. This is achieved by leveraging the text-to-image diffusion model and the IP embedding strategy to ensure consistency across keyframes.

The keyframe generation algorithm processes the sequence of prompts P = {p\_1, p\_2, ..., p\_m}, generating keyframes while ensuring identity-preserving consistency between consecutive shots. Mathematically, let P = {p\_1, p\_2, ..., p\_m} represent the sequence of prompts, and I = {I\_1, I\_2, ..., I\_m} represent the corresponding keyframes. The generation of each keyframe I\_j is formalized as:

$$
I\_j = \mathcal{M}\_{\text{T2I}}(p\_j).
$$

The decoupled cross-attention mechanism aligns both the textual description and the visual features from the previous keyframe, ensuring visual coherence across consecutive shots. By combining the text-to-image diffusion model with the identity-preserving embedding strategy and decoupled cross-attention, the *Keyframe Generation Module* produces high-quality, visually consistent keyframes for the subsequent video creation process.

#### Module 3: Shot-level Video Generation

The third module in the *VideoGen-of-Thought* framework is the *Shot-Level Video Generation Module*, responsible for converting the keyframes generated in Module 2 into short video segments. Each segment, typically lasting 2-5 seconds, corresponds to a shot in the final long video. The challenge of this module is to ensure temporal consistency, i.e., generating smooth motion between frames within each shot while maintaining coherence established by the keyframes.

To achieve realism and fluency within each shot, we introduce a camera embedding mechanism, which integrates camera movement information during video generation. The camera movement is represented by parameters c\_{cam} = \[c\_x, c\_y, c\_z], where c\_x, c\_y, and c\_z represent the horizontal pan, vertical tilt, and zoom ratios, respectively provided by each p\_j in Module 1. The encoded camera embedding e\_{cam} is then incorporated into the video generation process using temporal cross-attention. This embedding ensures that camera movements are smoothly integrated into the shot generation process.

To ensure consistency and smooth transitions between frames, we use a camera-conditioned loss. The training objective becomes minimizing the difference between the predicted noise and the actual noise, conditioned on both the camera embedding and the frame at time t. The loss is formulated as:

$$
\mathcal{L} = \mathbb{E}{x\_0, c{\text{cam}}, t, \epsilon \sim \mathcal{N}(0, I)} \left\[ |\epsilon - \epsilon\_\theta(x\_t, c\_{\text{cam}}, t)|^2\_2 \right]
$$

where x\_t represents the noisy frame at time step t, and \epsilon\_\theta is the predicted noise by the model at time t, conditioned on the camera movement parameters c\_{cam}. This loss ensures smooth motion between consecutive frames by taking camera movement into account.

We eventually employ a text-and-image-conditioned video generation model that takes both the keyframes and the corresponding textual prompts as input to generate temporally consistent and visually coherent videos. Let p\_j represent the textual description of shot j, and I\_j denote the keyframe for that shot. The goal is to generate a video segment V\_j that is both temporally consistent with the keyframe and coherent with the prompt:

$$
V\_j = \mathcal{M}\_{\text{T2IV}}(I\_j, p\_j)
$$

where V\_j is the video sequence generated for shot j. By incorporating both the keyframe and the textual description into the video generation process, along with the camera movement parameters, the *Shot-Level Video Generation Module* ensures that each shot remains temporally coherent and visually consistent. This alignment with the narrative structure provided by the prompt allows for the generation of high-quality, smooth video segments, which are later integrated into the final long video.

#### Module 4: Video Smoothing and Transitions

The final module in the *VideoGen-of-Thought* framework is the *Video Smoothing and Transition Module*, responsible for ensuring temporal coherence and smooth transitions between the shot-level video segments generated in Module 3. The primary objective of this module is to create seamless transitions between consecutive shots, adjusting camera poses and blending motion dynamics to produce a cohesive long-form video.

Let V\_j(T) represent the final frame of shot j, and V\_{j+1}(1) represent the first frame of the subsequent shot j+1. The transition video segment T\_j is generated to smoothly blend these two frames. This process can be formalized as a conditional diffusion process:

$$
p\_\theta(T\_j | V\_j(T), V\_{j+1}(1)) = \mathcal{N}(T\_j; \mu\_\theta(V\_j(T), V\_{j+1}(1)), \Sigma\_\theta)
$$

where \mu\_\theta and \Sigma\_\theta are the predicted mean and variance, and T\_j represents the generated transition video. The latent representations of V\_j(T) and V\_{j+1}(1) condition the diffusion process, ensuring that the generated transition aligns with the visual dynamics of the adjacent shots.

To further refine the temporal coherence of transitions, we use Gaussian Process Regression (GPR) to interpolate between the latent embeddings of the final frame of one shot and the first frame of the next. Let z\_j represent the latent embedding of the final frame V\_j(T), and z\_{j+1} represent the latent embedding of the first frame V\_{j+1}(1). The latent transition is modeled as:

$$
f(z\_j, z\_{j+1}) \sim \mathcal{GP}(\mu, k(z\_j, z\_{j+1}))
$$

where **GP** is a Gaussian process with mean \mu and kernel k(·, ·), ensuring smooth transitions between the latent embeddings. z\_j and z\_{j+1} are the latent embeddings of the final and initial frames. This combined approach ensures that the transitions are temporally smooth, visually coherent, and consistent across the entire video.

To summarize, we proposed *VideoGen-of-Thought,* a novel framework for generating long videos with a multi-step, collaborative approach. By decomposing the problem into four distinct modules—script generation, keyframe production, shot-level video generation, and smoothing—we ensure both visual and narrative consistency throughout the generated video, our approach make each module integrate into a cohesive pipeline, producing high-quality long videos with minimal manual intervention.


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