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# Social Media Posts: Autoencoder Dimensionality Reduction1# Generated from: notebooks/published/autoencoder_dimensionality_reduction.ipynb23================================================================================4TWITTER/X (< 280 chars)5================================================================================67Compressed 10D data into 2D using a neural network autoencoder - and it preserved all 3 clusters perfectly! Built from scratch with NumPy, no frameworks needed.89Loss: ||x - x'||² → minimize reconstruction error1011#Python #MachineLearning #DataScience #NeuralNetworks1213================================================================================14BLUESKY (< 300 chars)15================================================================================1617Implemented an autoencoder from scratch to reduce 10-dimensional data to 2D while preserving cluster structure.1819Key insight: Unlike PCA's linear projections, autoencoders use nonlinear activations (ReLU) to capture complex manifold structure.2021Encoder: x → z (compress)22Decoder: z → x' (reconstruct)2324#Python #ML2526================================================================================27THREADS (< 500 chars)28================================================================================2930Just built a neural network autoencoder from scratch using only NumPy!3132The concept is elegant:33- Encoder compresses 10D data → 2D34- Decoder reconstructs 2D → 10D35- Train to minimize ||x - x'||²3637What surprised me: the learned 2D representation preserved all three clusters from the original data, even though the network never saw the labels during training.3839This is unsupervised learning at its finest - finding hidden structure without being told what to look for.4041#MachineLearning #Python #DataScience4243================================================================================44MASTODON (< 500 chars)45================================================================================4647Implemented a fully-connected autoencoder for dimensionality reduction:4849Architecture: 10 → 32 → 2 → 32 → 1050- Encoder f(x) = ReLU(Wx + b)51- Bottleneck z ∈ ℝ² (latent space)52- Decoder reconstructs x' ≈ x5354Loss function: L = (1/m)∑||x⁽ⁱ⁾ - x'⁽ⁱ⁾||²5556Using Adam optimizer with Xavier initialization. Compared results to PCA - both separate clusters, but AE can capture nonlinear manifolds.5758Full implementation in pure NumPy, ~200 lines.5960#MachineLearning #Python #NeuralNetworks #DataScience6162================================================================================63REDDIT (Title + Body for r/learnpython or r/datascience)64================================================================================6566**Title:** Built an autoencoder from scratch in NumPy - here's how it compresses 10D data to 2D while preserving cluster structure6768**Body:**6970I implemented a neural network autoencoder using only NumPy (no PyTorch/TensorFlow) to understand how dimensionality reduction works at a fundamental level.7172**What's an autoencoder?**7374Think of it as a "bottleneck" network:75- Encoder: Takes your high-dimensional data and squeezes it through a narrow layer76- Decoder: Tries to reconstruct the original from that compressed representation77- Training: Minimize the difference between input and output7879The math is straightforward:80- Encoder: z = ReLU(W₁x + b₁)81- Decoder: x' = W₂z + b₂82- Loss: ||x - x'||² (mean squared error)8384**My experiment:**8586Generated synthetic data with 3 clusters living in 10 dimensions (but really lying on a 2D manifold). The autoencoder learned to compress this to 2D while keeping the clusters perfectly separated - and it never saw the cluster labels during training!8788**Key learnings:**89901. Xavier initialization matters - prevents vanishing/exploding gradients912. Adam optimizer converges much faster than vanilla SGD923. Compared to PCA: both work, but autoencoders can capture nonlinear relationships9394**Variance explained:** ~87% with just 2 latent dimensions9596The full notebook walks through the math (encoder/decoder equations, backpropagation, Adam updates) and includes visualizations of the latent space vs. the true underlying coordinates.9798View and run the notebook: https://cocalc.com/github/Ok-landscape/computational-pipeline/blob/main/notebooks/published/autoencoder_dimensionality_reduction.ipynb99100================================================================================101FACEBOOK (< 500 chars)102================================================================================103104Ever wonder how Netflix compresses your viewing history or how image compression works?105106I built a neural network called an "autoencoder" that does something similar - it learns to compress 10-dimensional data down to just 2 dimensions, then reconstructs the original.107108The cool part? It automatically discovered the hidden structure in the data without being told what to look for. Three distinct groups emerged in the compressed representation!109110Check out the interactive notebook: https://cocalc.com/github/Ok-landscape/computational-pipeline/blob/main/notebooks/published/autoencoder_dimensionality_reduction.ipynb111112================================================================================113LINKEDIN (< 1000 chars)114================================================================================115116Exploring Neural Network Fundamentals: Autoencoder Implementation from Scratch117118Understanding deep learning requires going beyond frameworks. I implemented a fully-connected autoencoder using only NumPy to deeply understand the mechanics of unsupervised representation learning.119120Technical Approach:121- Architecture: Input(10) → Hidden(32) → Latent(2) → Hidden(32) → Output(10)122- Activation: ReLU with Xavier initialization123- Optimizer: Adam with adaptive learning rates124- Loss: Mean squared reconstruction error125126Key Results:127- Achieved 87% variance explained with 2D encoding128- Cluster structure preserved without supervised labels129- Comparable performance to PCA on this dataset130131The implementation covers backpropagation derivation, mini-batch gradient descent, and the Adam optimizer equations - essential knowledge for anyone working in ML/AI.132133Skills demonstrated: Neural networks, NumPy, mathematical foundations, scientific computing134135Full technical notebook with equations and visualizations: https://cocalc.com/github/Ok-landscape/computational-pipeline/blob/main/notebooks/published/autoencoder_dimensionality_reduction.ipynb136137#MachineLearning #DataScience #Python #NeuralNetworks #DeepLearning138139================================================================================140INSTAGRAM (< 500 chars, visual-focused caption)141================================================================================142143Autoencoder magic in action144145This neural network learned to compress 10 dimensions → 2 dimensions and back again.146147Top left: Training loss dropping as the network learns148Top right: What the network "sees" - 3 clusters emerge automatically149Bottom left: The true hidden structure it discovered150Bottom right: How well it reconstructs each point151152Built from scratch in Python.153No frameworks. Just math.154155The beauty of unsupervised learning - finding patterns nobody told it to find.156157#machinelearning #datascience #python #neuralnetworks #coding #ai #datavisualization158159160