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A cool concept in topological data analysis is the simplicial complex. It connects points with edges, triangles, and higher order analogs. By gradually increasing each point's neighborhood size it captures data's topological structure (e.g. voids, holes) at different scales.

54,381 Aufrufe • vor 7 Monaten •via X (Twitter)

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Big step forward for root cause analysis in real-world applications! There’s a new method that will help identify the causes of a problem or event. It uses causal discovery, boosting trees together with TDA. This is crucial to enable root cause analysis in tasks like the following: • Fraud detection • Drug discovery • Customer behavior analysis • Energy and sustainability • Financial analysis and risk management • Failure analysis in engineering systems Topological data analysis (TDA), on the other hand, studies the topological properties of data sets. You can use TDA for clustering, classification, and anomaly detection. The team DataRefiner developed a new approach to integrating causal discovery with TDA segmentation, and they are getting the best results from anything in the market right now. For the first time, there's a tool where users can choose clusters and get a focused causal dependency graph. They use boosting trees to estimate causal effects in complex systems. They complement this approach with TDA by offering insights into potential causal pathways. With TDA, users can visualize and understand the relationship between variables. Most open-source systems struggle with categorical parameters or values with different scales. This new approach doesn’t have those problems. Look at the attached video to understand what you can do with this. Here is a link to a post with all of the details. It contains three detailed examples that will drive the idea home: Thanks to DataRefiner for sponsoring this post.

Santiago

234,774 Aufrufe • vor 2 Jahren

Wow Sora is so amazing, I wanted to really push it to the limits and see how it would handle a very complex prompt: “A 45-45-90 right triangle divides in half within itself repeatedly to create an organized fractal structure with self similarity, increasing in size from small at the top left to large at the bottom right, the whole structure is gradually growing from the top left point as the origin to create a seamless loop over 8 seconds, the individual triangles form platforms like a staircase descending downwards and have small rounded corners, as they move towards the bottom of the screen they each divide in half and one half moves downwards slightly to create another step and then the halves should divide in half again and one moves downwards to create one more step, after the second division curved cut-outs inside the triangles emerge upwards in a mechanical motion to form a continuous winding curved path towards the top of the structure, the edges of the path cutouts should be visible in the floor before they emerge so the viewer can anticipate the path being formed, after the path pieces move into place three Adélie penguins hop upwards along the path chasing a bright turquoise butterfly, the penguins should be hopping like the penguins in the following videos [ and should be progressing up the path while staying visually centered onscreen, the animation of the triangle platforms dividing and path forming and penguins hopping should be visually clear from top to bottom and arranged in such a way that you can look anywhere in the image to focus on a certain part of the story yet also be able to follow along from top to bottom to watch how the story unfolds throughout the image, the platforms should all be made of an elegant slightly reflective light wooden floor and white walls like a contemporary art museum, as each path segment moves upwards into place it is revealed that it is built on reflective chrome columns, lighting in the room is dark except for a single spotlight following the penguins and thin neon tube lighting around the edge of each triangle platform placed just below the floor level so that when the platforms divide and descend it reveals the neon light from the platform behind it which lights up the edges of the newly formed triangles and makes their form clear to the viewer's eye, some more neon lights inside the edge of the gap left by the path segments rising to form the path, the large dark triangle that makes up the upper right corner should be divided repeatedly by subtly glowing lines in a similar structure to the main layout but moving in the opposite direction as if to suggest that the 45-45-90 triangle on which the whole structure is based is being gradually disintegrated over time into a series of smaller identical triangles and emotionally relatable architecture as a frame for the penguins at the center to make them seem like the protagonist of the piece even though the true protagonist is the triangle itself, in the style of shapiro500, isometric 3d, beautiful lighting, best quality, masterpiece, hyperdetailed 4k, octane render” but I don't have Sora access so I made it by hand with Cinema 4D instead

Gavin Shapiro 🐧

176,839 Aufrufe • vor 2 Jahren