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Courage to Learn ML: Demystifying L1 & L2 Regularization (part 3)

L0.5, L3, and L4 regularizations are uncommon due to their non-convex nature and lack of unique benefits over L1/L2 regularizations. Non-convex L0.5 is complex, while higher norms like L3 and L4 don’t offer significant advantages and increase computational complexity. Combining L1 and L2 as Elastic Net regularization can improve generalization but adds complexity with another hyperparameter to tune.

 Courage to Learn ML: Demystifying L1 & L2 Regularization (part 3)

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Simple Guide to Regularizations: Why L0.5, L3, and L4 Are Rare

Understanding Uncommon Regularizations: L0.5, L3, and L4

Dear Middle Managers,
Boosting your team’s machine learning models is crucial for staying ahead in today’s competitive market. Let’s simplify some of the more complex concepts and show you how they apply to real-world AI solutions.

Why Not Use L0.5 Regularization?

In machine learning, avoiding p values less than 1 for regularization—like L0.5—is standard because it causes non-convex problems. These are harder to solve, as they can lead to many local minima and unpredictable results. Our goal is to keep things straightforward and computationally efficient.

Deep Learning and Non-Convex Problems

Despite most deep learning problems being non-convex, we’ve developed techniques to manage them effectively. Techniques like stochastic gradient descent help find good enough solutions, even if not the absolute best, which is often sufficient for practical use.

Why L3 and L4 are Not Popular

L3 and L4 regularizations don’t offer significant benefits compared to L1 and L2—like promoting sparsity in models for feature selection—and they add computational complexity. Hence, they’re not a practical choice for regular use in machine learning projects.

The Possibility of Combining L1 and L2: Elastic Net Regularization

Yes, you can merge L1 and L2 regularization into what’s known as Elastic Net. This approach balances stability and sparsity in models, leading to potentially more robust outcomes. However, it adds a layer of complexity due to an extra hyperparameter, making it less common in practice.

Embrace AI with the right knowledge. For more expert guidance, connect with us at hello@itinai.com, and follow our updates on Telegram (t.me/itinainews) or Twitter (@itinaicom).

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For an in-depth exploration, don’t forget to read the full article on regularization in machine learning. Understanding these concepts will empower your team to build more refined AI models, driving success in your organization.



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Vladimir Dyachkov, Ph.D
Editor-in-Chief itinai.com

I believe that AI is only as powerful as the human insight guiding it.

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