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I wrote this fun interactive article explaining Isomap, a classic non-linear dimensionality reduction technique. Isomap captures the local similarity structure of data through a graph and computes an embedding that preserves this structure. Check it out! Link below.

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Alec Helbling

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41,045 görüntüleme • 7 ay önce •via X (Twitter)

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Oldies but goldies: M. Belkin, P. Niyogi, Laplacian Eigenmaps for Dimensionality Reduction and Data Representation, 2003. Non-linear dimensionality reduction by embedding data points using the eigenvectors of a graph Laplacian as coordinates.
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Oldies but goldies: M. Belkin, P. Niyogi, Laplacian Eigenmaps for Dimensionality Reduction and Data Representation, 2003. Non-linear dimensionality reduction by embedding data points using the eigenvectors of a graph Laplacian as coordinates.

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Laplacian eigenmaps perform non-linear dimensionality reduction ("manifold learning") by embedding data points using the eigenvectors of a graph Laplacian as coordinates.
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Laplacian eigenmaps perform non-linear dimensionality reduction ("manifold learning") by embedding data points using the eigenvectors of a graph Laplacian as coordinates.

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Many dimensionality reduction algorithms share a few central principles. 1. Construct a graph that captures the data's local structure 2. Measure "geodesic" distances between points using the graph 3. Project the points to a lower dimension while preserving these distances
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Many dimensionality reduction algorithms share a few central principles. 1. Construct a graph that captures the data's local structure 2. Measure "geodesic" distances between points using the graph 3. Project the points to a lower dimension while preserving these distances

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1 of N reasons why sharding is a great way to scale a database? Backup speed. This is one of the fun little animations I worked on in my recent interactive sharding article. In case you missed it, link below.
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1 of N reasons why sharding is a great way to scale a database? Backup speed. This is one of the fun little animations I worked on in my recent interactive sharding article. In case you missed it, link below.

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wrote an article breaking down the math behind TurboQuant by Google Research. I walk through a toy example using concrete numbers to show every single operation that goes on under the hood. link below:
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wrote an article breaking down the math behind TurboQuant by Google Research. I walk through a toy example using concrete numbers to show every single operation that goes on under the hood. link below:

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Let’s take a closer look at this protein structure determined using AlphaFold2. This protein structure is part of a huge molecular structure in the human body. More than a thousand proteins form a pore through the membrane surrounding the cell nucleus. Animation: ©Terezia Kovalova/The Royal Swedish Academy of Sciences #NobelPrize
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Let’s take a closer look at this protein structure determined using AlphaFold2. This protein structure is part of a huge molecular structure in the human body. More than a thousand proteins form a pore through the membrane surrounding the cell nucleus. Animation: ©Terezia Kovalova/The Royal Swedish Academy of Sciences #NobelPrize

The Nobel Prize

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A Timelapse of today’s supercell that tracked through the western side of Phoenix. Pretty rare to get this structure in the desert! #azwx
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A Timelapse of today’s supercell that tracked through the western side of Phoenix. Pretty rare to get this structure in the desert! #azwx

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"great design is invisible" when explaining this concept to non-design minded customers, I often show them this from Linear. it's just a wonderful example of thinking
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"great design is invisible" when explaining this concept to non-design minded customers, I often show them this from Linear. it's just a wonderful example of thinking

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A ReLu network computes a piecewise linear approximation of a target function.
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A ReLu network computes a piecewise linear approximation of a target function.

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Interactive article: How to animate multiplayer cursors. Rendering smooth cursors always needs interpolation, as network conditions are never perfect—here's how to do it. I wrote this a few years back, techniques still apply! Link ↓
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Interactive article: How to animate multiplayer cursors. Rendering smooth cursors always needs interpolation, as network conditions are never perfect—here's how to do it. I wrote this a few years back, techniques still apply! Link ↓

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This is a fun interactive article explaining the intuition behind Gaussian Processes. Gaussian Processes allow you to construct a distribution over functions with a continuous domain. They are incredibly useful for applications like Bayesian regression.
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This is a fun interactive article explaining the intuition behind Gaussian Processes. Gaussian Processes allow you to construct a distribution over functions with a continuous domain. They are incredibly useful for applications like Bayesian regression.

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Wow. This is one of the best interactive sites I’ve seen for learning how LLMs work! 🔥 It starts w/ a clear intro and guides you through every core component: from Embedding, Layer Norm, and Self-Attention to MLPs, Transformer blocks, Softmax, and Output layers. link in 🧵↓
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Wow. This is one of the best interactive sites I’ve seen for learning how LLMs work! 🔥 It starts w/ a clear intro and guides you through every core component: from Embedding, Layer Norm, and Self-Attention to MLPs, Transformer blocks, Softmax, and Output layers. link in 🧵↓

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Shadertoy doodle - an exercise on raytracing 32,000 spheres without using a stack data structure.
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Shadertoy doodle - an exercise on raytracing 32,000 spheres without using a stack data structure.

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New Guide: The "LHS" Technique Full Advanced Guide to Market Structure Analysis PDF out now, 100% Free. Expires in 24 Hours. Just follow, and comment "zct" and I'll DM you a free Download link.
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New Guide: The "LHS" Technique Full Advanced Guide to Market Structure Analysis PDF out now, 100% Free. Expires in 24 Hours. Just follow, and comment "zct" and I'll DM you a free Download link.

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Turn a linear potentiometer non-linear by adding a resistor between the slider and an outer terminal!
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Turn a linear potentiometer non-linear by adding a resistor between the slider and an outer terminal!

CircuitShepherd

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I feel like I say this every week but Cyberworld is really really fun😭😭 I LOVE this show. Check out Cyberworld Episode 7 in the LINK BELOW!
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I feel like I say this every week but Cyberworld is really really fun😭😭 I LOVE this show. Check out Cyberworld Episode 7 in the LINK BELOW!

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📢 Our xData Godin reply library just got an update! 👇🏻Check out this video and reply below with the Godin button clicked to generate a variety of engaging responses. Let's make data on-chain more fun than ever! #xData #Godin #Web3Go🚀
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📢 Our xData Godin reply library just got an update! 👇🏻Check out this video and reply below with the Godin button clicked to generate a variety of engaging responses. Let's make data on-chain more fun than ever! #xData #Godin #Web3Go🚀

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The one thing we absolutely know with certainty about the Richat Structure is that there was an incredible amount of human activity here from the dawn of toolmaking and tool use itself. The Acheulean Hand Axe is the second tool that humans ever made and this technology spread throughout Africa, Europe and Asia while no definitive evidence exists that this technology ever made it to the Americas. I think this is evidence that this technology was shared and disseminated intentionally, that neighboring humans didn’t come up with this independently on their own but this was a legacy, an institution, a skill and an industry that was shared and taught. It is perhaps the earliest evidence we have of widespread cultural diffusion throughout Africa, Europe and Asia. And yes, it’s right there at the Richat Structure which leads me to question the role that the Richat played to humans half a million years ago. It seems like that’s where we have to start with the Richat.
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The one thing we absolutely know with certainty about the Richat Structure is that there was an incredible amount of human activity here from the dawn of toolmaking and tool use itself. The Acheulean Hand Axe is the second tool that humans ever made and this technology spread throughout Africa, Europe and Asia while no definitive evidence exists that this technology ever made it to the Americas. I think this is evidence that this technology was shared and disseminated intentionally, that neighboring humans didn’t come up with this independently on their own but this was a legacy, an institution, a skill and an industry that was shared and taught. It is perhaps the earliest evidence we have of widespread cultural diffusion throughout Africa, Europe and Asia. And yes, it’s right there at the Richat Structure which leads me to question the role that the Richat played to humans half a million years ago. It seems like that’s where we have to start with the Richat.

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Turn a simple idea into a storyboard, then generate the video with Seedance 2.0. This ComfyUI workflow uses LLMs to structure prompts into storyboard-ready scenes that define how the video should play out. The storyboard can be paired with reference images and sent directly into Seedance for video generation. To try this workflow, link below 👇
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Turn a simple idea into a storyboard, then generate the video with Seedance 2.0. This ComfyUI workflow uses LLMs to structure prompts into storyboard-ready scenes that define how the video should play out. The storyboard can be paired with reference images and sent directly into Seedance for video generation. To try this workflow, link below 👇

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Check out the structure of this supercell in a conditionally volatile environment for tornadic storms but in a tipping point state. A few degrees warmer at the surface, a tickle more surface convergence, or lift and would have had big problems
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Check out the structure of this supercell in a conditionally volatile environment for tornadic storms but in a tipping point state. A few degrees warmer at the surface, a tickle more surface convergence, or lift and would have had big problems

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