Wireless Systems – Terms

Networking, Wireless Communication
MIMO- Multi input and multi output is wireless technology that multiplies the capcity of a radio link using multiple transmit and receive antennas.https://en.wikipedia.org/wiki/MIMO FDD (Frequency Division Duplex): A transmission mode where uplink and downlink channels operate on different frequency bands. In FDD systems, the base station typically relies on user feedback to obtain downlink CSI ... Read More

Calculus – Integration

Calculus, Mathematics
Book Calculus by Thomas/Finney, 9th Edition, Page 275 Differential Calculus to Integral Calculus. This is where we stop asking “how fast is it changing?” and start asking “how much have we accumulated?” Indefinite Integrals The chapter kicks off with a simple question: If I give you the answer (the derivative), can you tell me the ... Read More

What is quantum advantage actually?

Quantum Computing
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, 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, optimization
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, Mathematics
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

Quantum Information – Quantum Noise and Error

Quantum Computing
Book Quantum Computation and Quantum Information, Nielson and Chuang. Cambridge, Page 353 and Page426 Systems can be either closed or open sytems. All systems somehow have to interact with outside environment. These unwanted interactions from outside world can introduce noie to the information processing system.
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