What is quantum advantage actually?

Quantum ComputingLeave a Comment on What is quantum advantage actually?
https://www.linkedin.com/posts/googleresearch_what-does-quantum-advantage-really-mean-activity-7411496236043808768-1fTo?utm_source=share&utm_medium=member_desktop&rcm=ACoAAFvtEp0B-fk768n2MQaWnQRVk0ixzjLJZV0 https://research.google/blog/a-verifiable-quantum-advantage/ https://www.nature.com/articles/s41586-025-09526-6 FUNDAMENTALS: Out-of-time-order correlators in quantummechanicshttps://arxiv.org/pdf/1703.09435

Various Bounds in Optimization

Machine Learning, optimizationLeave a Comment on Various Bounds in Optimization
Regret Bound:https://www.emergentmind.com/topics/cumulative-regret-analysishttp://sbubeck.com/LecturesALL_Bubeck.pdfhttps://www.jmlr.org/papers/volume11/jaksch10a/jaksch10a.pdfhttps://datascience.stackexchange.com/questions/62141/what-are-regret-boundshttps://arxiv.org/pdf/1403.5556 Lecture 1:Introduction to regret analysisS´ebastien BubeckMachine Learning and Optimization group, MSR AI

Assumptions and Their Meaning in Optimization Problems

Federated Learning, Machine Learning, optimizationLeave a Comment on Assumptions and Their Meaning in Optimization Problems
1. Lipschitz Continuity: The “Speed Limit”This assumption prevents the function from changing too rapidly over a certain distance. 2. 𝐿-Smoothness: The Curvature CeilingSmoothness ensures the gradient (slope) of the function doesn’t change abruptly. A function is 𝐿-smooth if its gradient is Lipschitz continuous. 3. 𝜇-Strong Convexity : The Curvature Floor – Bowl ShapeStrong convexity guarantees that ... Read More

Calculus – Linearization and Differentials

Calculus, MathematicsLeave a Comment on Calculus – Linearization and Differentials
Book Calculus by Thomas/Finney, 9th Edition, Page 248 Linearization: Approximating functions https://math.stackexchange.com/questions/1385936/approximating-sqrt1-frac1n-by-1-frac12n#:~:text=The%20function%20f(%20x)=%20%E2%88%9A%201+%20x,%E2%88%9A%201+%20x%20for%20x%20%E2%89%A5%200. Differentials Differential Estimate of Change:In calculus, estimating change with differentials is a method from calculus used to approximate how much a function’s output changes when the input changes by a small amount. Instead of calculating the exact change (which can be difficult and ... Read More
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