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Here's the difference:
Before understanding algorithms:
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- You write the code first, then optimize it.
- You estimate the time complexity randomly.
After:
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- You think about complexity before writing the code.
- You learn an approach that is suitable for solving the problem.
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β Time complexity and sorting.
β Dynamic programming.
β Advanced trees: segment tree, Fenwick tree, splay tree, link-cut tree.
β Graph algorithms: traversals, shortest paths, flows.
β String algorithms: substring search, suffix structures.
β Fast Fourier Transform, linear programming, cryptography.
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Forwarded from Machine Learning
This collection includes:
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Forwarded from Data Analytics
One of the key moments when I truly understood how transformers work: π§ β¨
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Each block in a transformer has a residual connection that adds the input of the block to its output:
Because of this addition, the attention mechanism or MLP within the layer β the function f in the formula above β actually does NOT transform the input. Instead, it calculates the information that needs to be ADDED to the input before passing it to the next block! β
Imagine the main part of the transformer as a shared whiteboard. π Each block reads what it needs from it and adds its own notes. All changes are additions.
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I owe these ideas to an older article by Anthropic about the architecture of transformers:
transformer-circuits.pub/2021/framework
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"Stop thinking of a transformer as a conveyor belt, where each layer transforms the output of the previous one."
"Start thinking of it as a residual flow." π
Each block in a transformer has a residual connection that adds the input of the block to its output:
x' = f(x) + x
Because of this addition, the attention mechanism or MLP within the layer β the function f in the formula above β actually does NOT transform the input. Instead, it calculates the information that needs to be ADDED to the input before passing it to the next block! β
Imagine the main part of the transformer as a shared whiteboard. π Each block reads what it needs from it and adds its own notes. All changes are additions.
Furthermore, layers can exchange information over distances. A block in the first layer can write information, and a block in the fifth layer can read it, even though there is no direct connection between them. π
I owe these ideas to an older article by Anthropic about the architecture of transformers:
transformer-circuits.pub/2021/framework
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1. Think Python β OβReilly
https://t.co/X7y3pX68IW
2. The Big Book of Small Python Projects
https://inventwithpython.com/bigbookpython/
3. Data Structures
https://opendatastructures.org/ods-python.pdf
4. Data Science Handbook
https://t.co/9aOLdiAbim
5. Data Analysis
https://wesmckinney.com/book/
6. Data Science
https://t.co/TusyBWGfrx
7. Machine Learning
https://t.co/7veOwESe8q
8. Statistics
https://t.co/waWDQylQpY
9. Think Bayes
https://allendowney.github.io/ThinkBayes2/
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Book: https://book.huihoo.com/pdf/graph-theory-with-applications.pdf
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The book begins with basic concepts: graphs, subgraphs, paths, cycles, trees, and connectivity. It then moves on to more advanced topics: Eulerian and Hamiltonian graphs, matching, graph coloring, planar and directed graphs, network flows, and extremal graph theory.
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Forwarded from Machine Learning
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