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๐Š-๐Œ๐ž๐š๐ง๐ฌ ๐‚๐ฅ๐ฎ๐ฌ๐ญ๐ž๐ซ๐ข๐ง๐  ๐„๐ฑ๐ฉ๐ฅ๐š๐ข๐ง๐ž๐ - ๐Ÿ๐จ๐ซ ๐›๐ž๐ ๐ข๐ง๐ง๐ž๐ซ๐ฌ

๐–๐ก๐š๐ญ ๐ข๐ฌ ๐Š-๐Œ๐ž๐š๐ง๐ฌ?
Itโ€™s an unsupervised machine learning algorithm that automatically groups your data into K similar clusters without labels. It finds hidden patterns using distance-based similarity.

๐ˆ๐ง๐ญ๐ฎ๐ข๐ญ๐ข๐ฏ๐ž ๐ž๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž:
You run a mall. Your data has:
โ€บ Age
โ€บ Annual Income
โ€บ Spending Score

K-Means can divide customers into:
โคท Budget Shoppers
โคท Mid-Range Customers
โคท High-End Spenders

๐‡๐จ๐ฐ ๐ข๐ญ ๐ฐ๐จ๐ซ๐ค๐ฌ:
โ‘  Choose the number of clusters K
โ‘ก Randomly initialize K centroids
โ‘ข Assign each point to its nearest centroid
โ‘ฃ Move centroids to the mean of their assigned points
โ‘ค Repeat until centroids donโ€™t move (convergence)

๐Ž๐›๐ฃ๐ž๐œ๐ญ๐ข๐ฏ๐ž:
Minimize the total squared distance between data points and their cluster centroids
๐‰ = ฮฃโ€–๐ฑแตข - ฮผโฑผโ€–ยฒ
Where ๐ฑแตข = data point, ฮผโฑผ = cluster center

๐‡๐จ๐ฐ ๐ญ๐จ ๐ฉ๐ข๐œ๐ค ๐Š:
Use the Elbow Method
โคท Plot K vs. total within-cluster variance
โคท The โ€œelbowโ€ in the curve = ideal number of clusters

๐‚๐จ๐๐ž ๐„๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž (๐’๐œ๐ข๐ค๐ข๐ญ-๐‹๐ž๐š๐ซ๐ง):

from sklearn.cluster import KMeans
X = [[1, 2], [1, 4], [1, 0], [10, 2], [10, 4], [10, 0]]
model = KMeans(n_clusters=2, random_state=0)
model.fit(X)
print(model.labels_)
print(model.cluster_centers_)


๐๐ž๐ฌ๐ญ ๐”๐ฌ๐ž ๐‚๐š๐ฌ๐ž๐ฌ:
โคท Customer segmentation
โคท Image compression
โคท Market analysis
โคท Social network analysis

๐‹๐ข๐ฆ๐ข๐ญ๐š๐ญ๐ข๐จ๐ง๐ฌ:
โ€บ Sensitive to outliers
โ€บ Requires you to predefine K
โ€บ Works best with spherical clusters

https://whatsapp.com/channel/0029VaC7Weq29753hpcggW2A ๐Ÿ“ฑ
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๐Š-๐Œ๐ž๐š๐ง๐ฌ ๐‚๐ฅ๐ฎ๐ฌ๐ญ๐ž๐ซ๐ข๐ง๐  ๐„๐ฑ๐ฉ๐ฅ๐š๐ข๐ง๐ž๐ - ๐Ÿ๐จ๐ซ ๐›๐ž๐ ๐ข๐ง๐ง๐ž๐ซ๐ฌ

๐–๐ก๐š๐ญ ๐ข๐ฌ ๐Š-๐Œ๐ž๐š๐ง๐ฌ?
Itโ€™s an unsupervised machine learning algorithm that automatically groups your data into K similar clusters without labels. It finds hidden patterns using distance-based similarity.

๐ˆ๐ง๐ญ๐ฎ๐ข๐ญ๐ข๐ฏ๐ž ๐ž๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž:
You run a mall. Your data has:
โ€บ Age
โ€บ Annual Income
โ€บ Spending Score

K-Means can divide customers into:
โคท Budget Shoppers
โคท Mid-Range Customers
โคท High-End Spenders

๐‡๐จ๐ฐ ๐ข๐ญ ๐ฐ๐จ๐ซ๐ค๐ฌ:
โ‘  Choose the number of clusters K
โ‘ก Randomly initialize K centroids
โ‘ข Assign each point to its nearest centroid
โ‘ฃ Move centroids to the mean of their assigned points
โ‘ค Repeat until centroids donโ€™t move (convergence)

๐Ž๐›๐ฃ๐ž๐œ๐ญ๐ข๐ฏ๐ž:
Minimize the total squared distance between data points and their cluster centroids
๐‰ = ฮฃโ€–๐ฑแตข - ฮผโฑผโ€–ยฒ
Where ๐ฑแตข = data point, ฮผโฑผ = cluster center

๐‡๐จ๐ฐ ๐ญ๐จ ๐ฉ๐ข๐œ๐ค ๐Š:
Use the Elbow Method
โคท Plot K vs. total within-cluster variance
โคท The โ€œelbowโ€ in the curve = ideal number of clusters

๐‚๐จ๐๐ž ๐„๐ฑ๐š๐ฆ๐ฉ๐ฅ๐ž (๐’๐œ๐ข๐ค๐ข๐ญ-๐‹๐ž๐š๐ซ๐ง):

from sklearn.cluster import KMeans
X = [[1, 2], [1, 4], [1, 0], [10, 2], [10, 4], [10, 0]]
model = KMeans(n_clusters=2, random_state=0)
model.fit(X)
print(model.labels_)
print(model.cluster_centers_)


๐๐ž๐ฌ๐ญ ๐”๐ฌ๐ž ๐‚๐š๐ฌ๐ž๐ฌ:
โคท Customer segmentation
โคท Image compression
โคท Market analysis
โคท Social network analysis

๐‹๐ข๐ฆ๐ข๐ญ๐š๐ญ๐ข๐จ๐ง๐ฌ:
โ€บ Sensitive to outliers
โ€บ Requires you to predefine K
โ€บ Works best with spherical clusters

https://whatsapp.com/channel/0029VaC7Weq29753hpcggW2A ๐Ÿ“ฑ

BY Python | Machine Learning | Coding | R


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Mr. Durov launched Telegram in late 2013 with his brother, Nikolai, just months before he was pushed out of VK, the Russian social-media platform he founded. Mr. Durov pitched his new appโ€”funded with the proceeds from the VK saleโ€”less as a business than as a way for people to send messages while avoiding government surveillance and censorship.

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Telegramโ€™s stand out feature is its encryption scheme that keeps messages and media secure in transit. The scheme is known as MTProto and is based on 256-bit AES encryption, RSA encryption, and Diffie-Hellman key exchange. The result of this complicated and technical-sounding jargon? A messaging service that claims to keep your data safe.Why do we say claims? When dealing with security, you always want to leave room for scrutiny, and a few cryptography experts have criticized the system. Overall, any level of encryption is better than none, but a level of discretion should always be observed with any online connected system, even Telegram.

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