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Controlling the Fidelity and Diversity of Deep Generative Models via Pseudo Density Estimation


Основные понятия
This research paper introduces a novel metric called "pseudo density" to control the fidelity (realism) and diversity (variety) of images generated by deep generative models like GANs and diffusion models.
Аннотация

Bibliographic Information:

Li, S., Liu, C., Zhang, T., Le, H., Süsstrunk, S., & Salzmann, M. (2024). Controlling the Fidelity and Diversity of Deep Generative Models via Pseudo Density. Transactions on Machine Learning Research.

Research Objective:

This paper addresses the challenge of balancing fidelity and diversity in deep generative models by introducing a novel metric called "pseudo density" and proposing methods to control these aspects during both inference and fine-tuning.

Methodology:

The researchers propose a "pseudo density" metric that estimates the density of image data in a feature space extracted by a pre-trained image feature extractor. They utilize this metric to develop three techniques: 1) Per-sample perturbation of latent vectors to adjust realism and uniqueness of individual images. 2) Importance sampling during inference to control the proportion of high or low-density images. 3) Fine-tuning with importance sampling to guide the model towards learning an adjusted data distribution.

Key Findings:

  • The proposed "pseudo density" metric effectively correlates with the realism and uniqueness of generated images.
  • Per-sample perturbation allows for precise control over the realism and uniqueness of individual generated images.
  • Importance sampling during inference and fine-tuning enables control over the fidelity-diversity trade-off in the generated data distribution.
  • Fine-tuning with importance sampling can improve the Frechet Inception Distance (FID) of pre-trained models.

Main Conclusions:

The study demonstrates the effectiveness of the proposed "pseudo density" metric and its associated techniques in controlling the fidelity and diversity of deep generative models. The authors highlight the importance of considering both fidelity and diversity in evaluating generative models, rather than solely relying on metrics like FID.

Significance:

This research contributes significantly to the field of deep generative models by providing practical methods for controlling the quality and variety of generated images. This has implications for various applications, including image editing and generation, where fine-grained control over these aspects is crucial.

Limitations and Future Research:

The paper acknowledges that further research could explore optimizing density-based sampling strategies and adapting the proposed control approach to conditional generation tasks like text-to-image synthesis.

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Статистика
The FFHQ dataset consists of 70k images with a resolution of 1024 × 1024. LSUN-Bedroom and LSUN-Church images are resized to 256 × 256. The density threshold τ for importance sampling is set to the {20, 50, 80} percentile of the pseudo density values of real samples. The importance weight w for importance sampling ranges from 0.01 to 100.
Цитаты
"Our work focuses on tackling this crucial need for improved control mechanisms in generative models." "Intuitively, an image with a high density typically exhibits more common characteristics, whereas an image with a low density is likely to feature more unique attributes." "This underscores the importance of considering both fidelity and diversity in the evaluation of generative models instead of relying solely on FID as a performance metric."

Дополнительные вопросы

How might this "pseudo density" metric be adapted to other domains beyond image generation, such as text or music generation?

Adapting the pseudo density metric to domains like text and music generation presents exciting possibilities while demanding careful consideration of the unique characteristics of each domain: Text Generation: Feature Extraction: Instead of image feature extractors like ViTs, we'd employ text representation models. Pre-trained language models like BERT, RoBERTa, or Sentence Transformers could map text sequences into meaningful embedding vectors, capturing semantic and syntactic information. Distance Metric: Euclidean distance might not be ideal for text embeddings. Cosine similarity, which measures the angle between vectors, often better reflects semantic similarity in high-dimensional text spaces. Density Interpretation: In text, high pseudo density could indicate common phrases, writing styles, or topics. Low density might represent unique or niche linguistic expressions. Music Generation: Feature Representation: Music poses a challenge due to its temporal nature. Options include: Symbolic Representations: Representing music as MIDI-like sequences allows for capturing notes, timing, and dynamics. Audio Feature Embeddings: Using pre-trained audio models or extracting features like MFCCs can capture timbre, rhythm, and other acoustic qualities. Distance and Density: Similar to text, cosine similarity might be more appropriate. High density could indicate common musical patterns or genres, while low density might represent experimental or avant-garde compositions. Challenges and Considerations: Domain-Specific Features: The success of pseudo density relies on capturing features relevant to human perception of fidelity and diversity within the domain. This requires careful selection of feature extraction methods. Subjectivity: Notions of realism and diversity in text and music are inherently subjective. The metric might need to be tailored to specific genres, styles, or artistic goals.

Could there be potential biases introduced by relying on nearest-neighbor information in high-dimensional feature spaces, particularly for under-represented classes in the training data?

Yes, there is a significant risk of introducing or amplifying biases by relying on nearest-neighbor information in high-dimensional feature spaces, especially when dealing with under-represented classes in the training data. Here's why: Data Imbalance and Sparsity: Under-represented classes inherently have fewer data points in the training set. In high-dimensional spaces, this leads to data sparsity – the few samples from these classes are likely to be far apart from each other. Distorted Neighborhoods: When a class is sparsely represented, its data points might be surrounded by samples from more dominant classes. This distorts the nearest-neighbor relationships. Bias Amplification: Since pseudo density is based on these neighborhoods, the metric might assign artificially low densities to samples from under-represented classes, simply because their nearest neighbors are not representative of their true distribution. This could lead to: Suppression of Diversity: The model, incentivized to produce high-density outputs, might shy away from generating samples similar to the under-represented classes. Reinforcement of Existing Biases: The model might learn to associate low density with undesirable characteristics, further marginalizing already under-represented groups. Mitigation Strategies: Data Augmentation: Increase the representation of under-represented classes through techniques like oversampling, synthetic data generation, or targeted data collection. Adaptive Metrics: Explore distance metrics or density estimation methods that are more robust to data imbalance. This could involve weighting samples based on their class prevalence or using techniques like density-based clustering. Bias-Aware Training: Incorporate fairness constraints or adversarial training techniques during model optimization to explicitly mitigate bias amplification.

If we consider the evolution of artistic styles as a continuous exploration of fidelity and diversity, how can this research contribute to a deeper understanding of creativity and its computational modeling?

The research on controlling fidelity and diversity in generative models, particularly through the lens of "pseudo density," offers intriguing connections to understanding creativity and its computational modeling within the context of artistic style evolution: Exploration and Exploitation: Fidelity as Exploitation: Maintaining high fidelity in art often involves adhering to established conventions and techniques of a particular style – a form of "exploitation" of existing knowledge. Diversity as Exploration: Pushing the boundaries of diversity encourages "exploration" by generating novel forms, breaking away from norms, and potentially leading to new styles. Pseudo Density as a Creative Pressure: Navigating the Landscape: Imagine a "style space" where points represent different artistic expressions. Pseudo density could be seen as a pressure within this space, pushing towards conventional styles (high density) or encouraging exploration of uncharted territories (low density). Simulating Style Evolution: By manipulating pseudo density during training, we might be able to simulate the evolution of artistic styles. Starting with high density (mimicry of existing styles) and gradually decreasing it could lead to the emergence of novel forms. Computational Models of Creativity: Beyond Imitation: Current generative models excel at mimicking existing styles. This research provides tools to go beyond imitation and potentially model the generative aspect of creativity. Understanding Artistic Choices: Analyzing how artists balance fidelity and diversity within their work, and how this balance shifts over time, could provide insights into the creative process. Challenges and Future Directions: Subjectivity and Intent: Artistic creativity is deeply intertwined with subjective experiences and intentions. Computational models need to account for these factors, perhaps through interactive systems or by incorporating artist feedback. Evaluating Novelty: Defining and evaluating true artistic novelty remains a significant challenge. Metrics beyond pseudo density are needed to capture the essence of originality and aesthetic value.
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