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Neural Redshift: Unveiling Neural Networks' Generalization Biases


Основні поняття
Neural networks exhibit strong inductive biases towards functions of specific complexity levels, independent of optimization methods. The simplicity bias observed in trained models is rooted in the architecture's parametrization, not just gradient descent.
Анотація

The study explores neural networks' generalization capabilities beyond gradient-based training. It reveals that architectures inherently favor certain complexities, impacting model performance. Key findings include the simplicity bias influenced by components like ReLUs and layer normalizations, and the ability to control inductive biases for improved generalization.
The research delves into random-weight networks to uncover inherent biases towards low-frequency functions. It highlights how different activations affect complexity preferences and how architectures can be modulated to learn complex tasks effectively.
Moreover, the study extends its analysis to transformers, demonstrating their bias towards generating simple sequences akin to MLPs. The results suggest that transformers inherit these biases from their building blocks, influencing sequence generation tendencies.
Overall, the research sheds light on the intrinsic properties of neural networks that shape their generalization abilities independently of training methods.

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Статистика
Chiang et al. showed that zeroth-order optimization can yield models with good generalization as frequently as gradient descent. Goldblum et al. demonstrated that language models with random weights display a preference for low-complexity sequences. Fourier frequency analysis was used to quantify complexity measures in evaluating network functions. Layer normalization significantly affects variations in complexity across activations and scales. Residual connections force a preferred complexity level for all activations regardless of depth.
Цитати
"Gradient descent may help with generalization but it does not seem necessary." - Chiang et al. "The success of deep learning is not primarily a product of gradient descent." - Research Findings "Transformers inherit a bias for simple sequences from their building blocks via similar mechanisms as those causing simplicity bias in other models." - Study Conclusion

Ключові висновки, отримані з

by Damien Teney... о arxiv.org 03-05-2024

https://arxiv.org/pdf/2403.02241.pdf
Neural Redshift

Глибші Запити

What implications do these findings have for developing more efficient training algorithms?

The findings suggest that understanding the inductive biases of neural networks, independent of optimization, can lead to more efficient training algorithms. By recognizing that architectures inherently bias towards certain levels of complexity, developers can tailor training methods to leverage these biases effectively. This knowledge can guide the design of novel optimization techniques that work in harmony with the architecture's preferences, potentially leading to faster convergence and improved generalization.

How might alternative activation functions impact the overall performance and complexity preferences of neural networks?

Alternative activation functions play a crucial role in shaping the performance and complexity preferences of neural networks. The study highlights how different activations influence the network's bias towards simplicity or complexity. For example, ReLU activations tend to bias networks towards low-complexity solutions, while other activations like TanH or Gaussian may shift this preference towards higher complexities. By choosing specific activation functions strategically based on the desired level of complexity for a task, developers can fine-tune network behavior and enhance performance on specific types of data distributions.

How can controlling inductive biases lead to advancements in real-world applications beyond traditional machine learning tasks?

Controlling inductive biases offers significant potential for advancements in real-world applications beyond traditional machine learning tasks by enabling tailored model behavior suited to specific requirements. By manipulating architectural components such as activations, layer normalizations, or residual connections to modulate complexity preferences during training, practitioners can steer models towards better generalization on complex tasks or mitigate shortcut learning behaviors. This control over inductive biases opens up possibilities for optimizing models for diverse applications ranging from natural language processing to computer vision and beyond.
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