Obsidian/4 Qualifying Exam/2 Writing/2 Writing - README.md

Table of Contents for 2 Writing

Files

• 0. QE Abstract.md
• 1. QE Goals and Outcomes.md
• 2. QE State of the Art.md
• 3. QE Research Approach.md
• 4. QE Broader Impacts.md
• 5. QE Metrics of Success.md
• 6. QE Risks and Contingencies.md
• 7. QE One Pager.md
• 8. QE Oral Exam Presentation.md
• QE Abstract For Dan.md
• QE Abstract For Dan.tex
• test.bib
• Untitled.bib
• Untitled.tex

Summary

Based on the outline and draft content, I'll provide a summary of the key points and suggestions for improvement.

Summary

The proposal aims to use a generative diffusion model to create unstructured perturbations for robustness verification in controller implementation. The research goals include training a diffusion model with structured perturbations, introducing noise through the forward process, and generating novel perturbations through the reverse process. The expected outcomes include:

1. A set of valid unstructured perturbations that satisfy robust stability/performance criteria.
2. Quantitative assessment of the model's ability to approximate uncertainty bounds in W2W_2W2​.
3. Reduced effort in generating perturbations for robustness verification.

Suggestions

1. Clearly define the scope and limitations: Specify the context, constraints, and assumptions of the proposal to ensure a clear understanding of the research goals and objectives.
2. Provide more details on the uncertainty function W2W_2W2​: Explain why this function is relevant to robustness verification and how its parameters will be chosen.
3. Outline the experimental design for validating perturbation validity: Describe the steps involved in verifying that generated plants belong to the allowable set, ensuring they meet robust stability/performance criteria by checking Nyquist stability.
4. Quantify the expected outcomes: Use specific metrics or indicators to measure the success of the proposal, such as the percentage of valid perturbations or the reduction in effort required for robustness verification.
5. Consider additional evaluation criteria: Think about other factors that could be used to evaluate the proposal's success, such as computational efficiency, model interpretability, or applicability to different types of systems.

Additional Ideas

1. Explore potential applications beyond robust control: Discuss how this research could contribute to other fields requiring resilient system validation, such as infrastructure systems, healthcare, or finance.
2. Discuss potential challenges and risks: Acknowledge potential challenges, such as the difficulty in defining valid perturbations or the risk of over- or under-representing uncertainty bounds.

By addressing these suggestions and considering additional ideas, you can strengthen your proposal and increase its chances of success.

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