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Language models pack billions of concepts into 12k dimensions

news.ycombinator.com Unknown 2025-09-26 04:54:20

In a recent 3Blue1Brown video series on transformer models, Grant Sanderson posed a fascinating question: How can a relatively modest embedding space of 12,288 dimensions (GPT-3) accommodate millions of distinct real-world concepts? The answer lies at the intersection of high-dimensional geometry and a remarkable mathematical result known as the Johnson-Lindenstrauss lemma. While exploring this question, I discovered something unexpected that led to an interesting collaboration with Grant and a

Topics: dimensional embedding high space vectors

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Language Models Pack Billions of Concepts into 12k Dimensions

news.ycombinator.com Unknown 2025-09-27 15:54:20

In a recent 3Blue1Brown video series on transformer models, Grant Sanderson posed a fascinating question: How can a relatively modest embedding space of 12,288 dimensions (GPT-3) accommodate millions of distinct real-world concepts? The answer lies at the intersection of high-dimensional geometry and a remarkable mathematical result known as the Johnson-Lindenstrauss lemma. While exploring this question, I discovered something unexpected that led to an interesting collaboration with Grant and a

Topics: dimensional embedding high space vectors

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Language Models Pack Billions of Concepts into 12,000 Dimensions

news.ycombinator.com Unknown 2025-09-27 20:54:20

In a recent 3Blue1Brown video series on transformer models, Grant Sanderson posed a fascinating question: How can a relatively modest embedding space of 12,288 dimensions (GPT-3) accommodate millions of distinct real-world concepts? The answer lies at the intersection of high-dimensional geometry and a remarkable mathematical result known as the Johnson-Lindenstrauss lemma. While exploring this question, I discovered something unexpected that led to an interesting collaboration with Grant and a

Topics: dimensional embedding high space vectors

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Evidence of Ancient Asteroid Impact and Tsunami Found in North Carolina

gizmodo.com Passant Rabie 2025-09-27 11:00:48

Around 35 million years ago, a small asteroid traveling at 40,000 miles per hour (64,373 kilometers per hour) struck Earth, crashing into the Atlantic Ocean near the modern-day town of Cape Charles, Virginia. The approximately 3-mile-wide (5-kilometer) object created a large impact crater that’s buried half a mile beneath Chesapeake Bay. Hundreds of miles south of the crater, scientists have found new evidence of the asteroid impact and the tsunami that followed the shattering event. Hidden ben

Topics: asteroid bed earth impact rock

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Thuma Dupes: Japanese Joinery Bed Frames That Stack Up (2025)

wired.com Julia Forbes 2025-10-04 14:36:00

I’m a longtime fan of DreamCloud mattresses, so it came as no surprise that the brand’s Japanese joinery bed frame is an excellent product. Just like the mattress, numerous thoughtful details in this frame made it immediately stand out, so much so that I will be keeping it around for long-term testing to try with a larger variety of beds. DreamCloud made the setup of this frame seamlessly idiot-proof (@me). Each piece is labeled, and when it comes time to actually put it all together, take a ga

Topics: bed dreamcloud ends frame pieces

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The New Math of Quantum Cryptography

wired.com Ben Brubaker 2025-10-08 22:00:00

The original version of this story appeared in Quanta Magazine. Hard problems are usually not a welcome sight. But cryptographers love them. That’s because certain hard math problems underpin the security of modern encryption. Any clever trick for solving them will doom most forms of cryptography. Several years ago, researchers found a radically new approach to encryption that lacks this potential weak spot. The approach exploits the peculiar features of quantum physics. But unlike earlier qua

Topics: bedrock cryptography problems quantum tower

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How big are our embeddings now and why?

news.ycombinator.com Unknown 2025-10-06 20:45:46

Sep 1 2025 #embeddings #openai #anthropic #huggingface #dimensionality A few years ago, I wrote a paper on embeddings. At the time, I wrote that 200-300 dimension embeddings were fairly common in industry, and that adding more dimensions during training would create diminishing returns for the effectiveness of your downstream tasks (classification, recommendation, semantic search, topic modeling, etc.) I wrote the paper to be resilient to changes in the industry since it focuses on fundamenta

Topics: embedding embeddings model models training

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As the Great Salt Lake Shrinks, Something Unexpected Is Rising to the Surface

gizmodo.com Ellyn Lapointe 2025-10-16 18:20:14

The Great Salt Lake once reached depths of up to 1,000 feet and spanned roughly 20,000 square miles, but today, it mostly resembles a parched wasteland. So, when signs of life suddenly began popping up across the drying playa, scientists were perplexed. In the last several years, reed-covered mounds have appeared off the lake’s southeast shore. These densely vegetated oases must receive enough freshwater to sustain plant life, but experts weren’t sure where this resource was coming from. Resear

Topics: data freshwater lake lakebed resource

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The Tragic End of Natalia Nagovitsyna's Ordeal on Pobeda Peak

news.ycombinator.com Kris Annapurna 2025-10-14 13:52:54

Although the fate of Russian climber Natalia Nagovitsyna, stranded at 7,150m on Kyrgyzstan’s Pobeda Peak since August 12, has been obvious for several days, the last wisps of hope ended today. A few hours ago, a military drone captured thermal imaging footage of Nagovitsyna’s tent on Pobeda Peak. The images, published on the official website of the State Committee for National Security of Kyrgyzstan (GKNB), revealed no signs of life in her tent. After more than two weeks, Kyrgyz authorities hav

Topics: august climber nagovitsyna pobeda rescue

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My cat loves this smart air purifier that doubles as a pet bed, and it's $100 off for Labor Day

zdnet.com Allison Murray 2025-10-18 14:33:00

Blueair PetAir Pro ZDNET's key takeaways The BlueAir PetAirPro is an air purifier for pet hair that retails for $500 The device does a fantastic job of sucking up pet hair clumps and other dust, plus it has a pet bed on top of it for your furry friend It is expensive for an air purifier, and can be quite large for small spaces. View now at Blueair The PetAir Pro is $100 off when you apply the code PETAIR100 on Blueair's website. Also: The best Labor Day deals live now I love my cat, Norbert

Topics: air bed blueair pet purifier

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I found a smart air purifier that doubles as a pet bed (and my cat loves it)

zdnet.com Allison Murray 2025-10-23 10:12:00

Blueair PetAir Pro ZDNET's key takeaways The BlueAir PetAirPro is an air purifier for pet hair that retails for $500 The device does a fantastic job of sucking up pet hair clumps and other dust, plus it has a pet bed on top of it for your furry friend It is expensive for an air purifier, and can be quite large for small spaces. View now at Blueair Follow ZDNET: Add us as a preferred source on Google. I love my cat, Norbert, dearly, but I don't love the orange hair he leaves everywhere (even

Topics: air bed blueair pet purifier

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Something Extremely Scary Happens When Advanced AI Tries to Give Medical Advice to Real World Patients

futurism.com Unknown 2025-10-30 00:27:39

Image by Getty / Futurism Developments Last week, Google AI pioneer Jad Tarifi sparked controversy when he told Business Insider that it no longer makes sense to get a medical degree — since, in his telling, artificial intelligence will render such an education obsolete by the time you're a practicing doctor. Companies have long touted the tech as a way to free up the time of overworked doctors and even aid them in specialized skills, including scanning medical imagery for tumors. Hospitals ha

Topics: ai bedi medical models questions

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What Is Down Alternative and Who Should Buy It? Experts Explain (2025)

wired.com Louryn Strampe 2025-11-02 20:38:00

When shopping for new bedding, you'll undoubtedly run into both natural down and materials described as down alternatives. This prompts a lot of questions. Is down or down alternative better? What are the differences between them? Why is one more expensive than the other? Which is easier to care for? Which is warmer? It can all be very confusing. As evinced in our down comforter buying guide, not to mention other stories in our sleep directory, there are plenty of options for high-quality down

Topics: alternative bedding better care comforters

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Yes, You Really Need a Bed Frame for Your Mattress and Here’s Why

cnet.com See Full Bio 2025-11-13 14:29:00

I'm no stranger to cutting costs when it's time to buy furniture. But, when a recent CNET survey found out that roughly six in 10 US adults are willing to invest in their bed setup, as a sleep expert, I knew what I had to recommend: buy a bed frame. Now, if you're wondering why? There are many reasons why a bed frame is a key part of your bedding setup. A bed frame's purpose is to protect you and your mattress from the downsides of sleeping on the floor. Not only that, but mattresses are expens

Topics: bed floor frame like mattress

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Viking-Age hoard reveals trade between England and the Islamic World

news.ycombinator.com Mark Milligan 2025-11-10 12:34:27

A Viking-Age silver hoard unearthed in Bedale, North Yorkshire, is providing new insights into wealth and trading links between England and the Islamic World. First discovered in 2012 by a metal detectorist in a North Yorkshire field, the hoard (known as the Bedale hoard), consists of a deposit of necklaces, arm-bands, a sword pommel, hacksilver, and 29 silver ingots. - Advertisement - Previous studies have dated the hoard to the late 9th to early 10th centuries AD, predating both the nearby

Topics: bedale hoard islamic silver viking

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We Hit 100% GPU Utilization–and Then Made It 3× Faster by Not Using It

news.ycombinator.com Unknown 2025-11-09 04:31:05

We recently used Qwen3-Embedding-0.6B to embed millions of text documents while sustaining near-100% GPU utilization the whole way. That’s usually the gold standard that machine learning engineers aim for… but here’s the twist: in the time it took to write this blog post, we found a way to make the same workload 3× faster, and it didn’t involve maxing out GPU utilization at all. That story’s for another post, but first, here’s the recipe that got us to near-100%. The workload Here at the Daft

Topics: daft embedding gpu model text

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A brazen attack on air safety is underway — here’s what’s at stake

theverge.com Darryl Campbell 2025-11-13 05:00:00

At the end of July, the National Transportation Safety Board (NTSB) convened a three-day public hearing to investigate January’s mid-air collision over Washington, DC that killed 67 people. After the hearing, two conclusions were inescapable. First, the disaster should have been prevented by existing safety rules. And second, the government regulators responsible for air safety have become hesitant to enforce those rules, especially when it means standing up to industry demands for more flights

Topics: aviation bedford flight pilots safety

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Launch HN: Embedder (YC S25) – Claude code for embedded software

news.ycombinator.com Unknown 2025-11-14 06:38:05

Hey HN - We’re Bob and Ethan from Embedder ( https://embedder.dev ), a hardware-aware AI coding agent that can write firmware and test it on physical hardware. Here’s a demo in which we integrate a magnetometer for the Pebble 2 smartwatch: https://www.youtube.com/watch?v=WOpAfeiFQkQ We were frustrated by the gap between coding agents and the realities of writing firmware. We'd ask Cursor to, say, write an I2C driver for a new sensor on an STM32, and it would confidently spit out code that used

Topics: agent coding context embedder hardware

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Launch HN: Embedder (YC S25) – Claude Code for Embedded Software

news.ycombinator.com Unknown 2025-11-14 18:38:05

Hey HN - We’re Bob and Ethan from Embedder ( https://embedder.dev ), a hardware-aware AI coding agent that can write firmware and test it on physical hardware. Here’s a demo in which we integrate a magnetometer for the Pebble 2 smartwatch: https://www.youtube.com/watch?v=WOpAfeiFQkQ We were frustrated by the gap between coding agents and the realities of writing firmware. We'd ask Cursor to, say, write an I2C driver for a new sensor on an STM32, and it would confidently spit out code that used

Topics: agent coding context embedder hardware

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Show HN: I built a free alternative to Adobe Acrobat PDF viewer

news.ycombinator.com Unknown 2025-11-17 11:34:46

EmbedPDF Open‑Source JavaScript PDF Viewer EmbedPDF is a framework‑agnostic, MIT‑licensed PDF viewer that drops into any JavaScript project. Whether you build with React, Vue, Svelte, Preact, or vanilla JS, EmbedPDF delivers a smooth, modern reading experience and a clean developer API. 📚 Documentation Full docs, installation guides, API reference, and examples: 👉 https://www.embedpdf.com 🚀 Live Demo Try it now — load your own PDF or use the sample: 👉 https://app.embedpdf.com ✨ Features

Topics: api embedpdf https license pdf

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I've tested the Apple Watch, Oura Ring, and other sleep trackers - 5 tips to get the best results

zdnet.com Nina Raemont 2025-11-22 23:58:00

Elyse Betters Picaro / ZDNET There are thousands of songs about staying up all night to have fun, yet fewer about how nice it is to go to bed early. After a long day of work, nerve-inducing headlines, and strenuous exercise, all I want is sleep. That's when the lyrics of Hall and Oates' song, "When the Morning Comes," a tune mainly about rejection that can be interpreted as an ode to a good night's rest, come to mind: "It'll be all right when the morning comes," the duo sing. As a sleep enthus

Topics: bed heart night rate sleep

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Show HN: Bolt – A super-fast, statically-typed scripting language written in C

news.ycombinator.com Unknown 2025-11-27 00:53:09

⚡ Bolt A lightweight, lightning-fast, type-safe embeddable language for real-time applications. import print , error , Error from core import abs , epsilon from math // The return type of safe_divide is inferred to be `Error | number` fn safe_divide ( a : number , b : number ) { if abs ( b ) < epsilon { return error ( "Cannot divide by zero!" ) } return a / b } match let result = safe_divide ( 10 , 5 ) { is Error { // The type of result is narrowed in this branch! print ( "Failed to divide:" ,

Topics: bolt code embedding error language

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The Sunlight Budget of Earth

news.ycombinator.com Asimov Press 2025-12-01 09:15:41

By Sam Clamons Editor’s Note: This article contains numerical estimates compiled from various research articles. It was reviewed by three climate experts: Casey Handmer, Paul Reginato, and Jonathan Burbaum. Their notes are recorded in the footnotes. Our full dataset and calculations are available for download. We hope this will be a useful starting point for much deeper discussions. Modern biotechnology is powered by sunlight. Light-gobbling algae, both natural and engineered, are harvested an

Topics: absorbed energy photosynthesis solar sunlight

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Best Mattress 2025: We’ve Tested 100+ so You Can Sleep Soundly

wired.com Martin Cizmar 2025-12-02 14:03:00

Honorable Mentions Here are a few more products we liked but didn't love as much as the ones above. The Saatva Contour5 for $2,599: The Contour5 is a new offering from Saatva, replacing the popular Loom & Leaf in the company's lineup. Like other Saatva mattresses, but unlike most others on this list, it is not roll-packed and comes delivered on a moving truck. The Contour5 has two firmness options and updated cooling tech that uses airflow channels in its gel foam layer, which is thinner than

Topics: bed foam like mattress mattresses

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VSCode extension for syntax highlighting multi-line YAML strings

news.ycombinator.com Unknown 2025-12-10 12:47:54

YAML Embedded Languages Features Syntax highlighting within YAML block-scalars for 50+ built-in languages and the ability to add highlighting for any other language with the yaml-embedded-languages.include configuration setting. Usage To highlight a single block, place a comment with the language identifier next to the block identifier. example : | # <language-identifier> highlighted To highlight all blocks from a point onwards, place a comment with the extension name followed by the langu

Topics: embedded identifier language languages yaml

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Gemini Embedding: Powering RAG and context engineering

news.ycombinator.com Unknown 2025-12-14 17:47:54

Since announcing the general availability of our Gemini Embedding text model, we've seen developers rapidly adopt it to build advanced AI applications. Beyond traditional use cases like classification, semantic search, and retrieval-augmented generation (RAG), many are now using a technique called context engineering to provide AI agents with complete operational context. Embeddings are crucial here, as they efficiently identify and integrate vital information—like documents, conversation histor

Topics: ai embedding gemini model search

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The 10-3-2-1-0 Sleep Hack May Kick Your Restless Nights to the Curb

cnet.com See Full Bio 2025-12-20 22:30:03

After a long day of work, getting into bed and falling asleep may seem like the easiest thing in the world. However, for many, it's rarely that simple. According to the Centers for Disease Control and Prevention, more than a third of American adults don't get enough sleep. Not getting enough rest doesn't just make it harder to wake up in the morning, but it can also lead to chronic conditions like high blood pressure and heart disease. If you've been struggling with getting to sleep, it might be

Topics: bed body hours quality sleep

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Efficient Computer's Electron E1 CPU – 100x more efficient than Arm?

news.ycombinator.com Dr. Ian Cutress 2025-12-25 06:30:44

We've been building general-purpose CPUs wrong for decades, apparently. That's the bold claim from Efficient Computer, a new startup stepping into the embedded market with their Electron E1 chip. For too long, our processors have been stuck in a control flow model, constantly shuffling data back and forth between caches, memory, and compute units – a process I think we can all agree that burns significant energy at every step. Efficient’s goal is to approach the problem by static scheduling and

Topics: data e1 efficient embedded power

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100X More Efficient Than ARM Processors – Electron E1

news.ycombinator.com Dr. Ian Cutress 2025-12-25 12:30:44

We've been building general-purpose CPUs wrong for decades, apparently. That's the bold claim from Efficient Computer, a new startup stepping into the embedded market with their Electron E1 chip. For too long, our processors have been stuck in a control flow model, constantly shuffling data back and forth between caches, memory, and compute units – a process I think we can all agree that burns significant energy at every step. Efficient’s goal is to approach the problem by static scheduling and

Topics: data e1 efficient embedded power

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Trying to Get a Better Night's Sleep? Try the 10-3-2-1-0 Sleep Hack

cnet.com See Full Bio 2025-12-27 12:00:50

Getting to sleep at the end of a long day may sound easy, but for millions of people, it's anything but. According to the Centers for Disease Control and Prevention, more than a third of American adults don't get enough sleep. Not getting enough rest doesn't just make it harder to wake up in the morning, but it can also lead to chronic conditions like high blood pressure and heart disease. If you've been struggling with getting to sleep, it might be time to try something new. The 10-3-2-1-0 sle

Topics: bed body hours quality sleep

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Latest Tech News

Language models pack billions of concepts into 12k dimensions

Language Models Pack Billions of Concepts into 12k Dimensions

Language Models Pack Billions of Concepts into 12,000 Dimensions

Evidence of Ancient Asteroid Impact and Tsunami Found in North Carolina

Thuma Dupes: Japanese Joinery Bed Frames That Stack Up (2025)

The New Math of Quantum Cryptography

How big are our embeddings now and why?

As the Great Salt Lake Shrinks, Something Unexpected Is Rising to the Surface

The Tragic End of Natalia Nagovitsyna's Ordeal on Pobeda Peak

My cat loves this smart air purifier that doubles as a pet bed, and it's $100 off for Labor Day

I found a smart air purifier that doubles as a pet bed (and my cat loves it)

Something Extremely Scary Happens When Advanced AI Tries to Give Medical Advice to Real World Patients

What Is Down Alternative and Who Should Buy It? Experts Explain (2025)

Yes, You Really Need a Bed Frame for Your Mattress and Here’s Why

Viking-Age hoard reveals trade between England and the Islamic World

We Hit 100% GPU Utilization–and Then Made It 3× Faster by Not Using It

A brazen attack on air safety is underway — here’s what’s at stake

Launch HN: Embedder (YC S25) – Claude code for embedded software

Launch HN: Embedder (YC S25) – Claude Code for Embedded Software

Show HN: I built a free alternative to Adobe Acrobat PDF viewer

I've tested the Apple Watch, Oura Ring, and other sleep trackers - 5 tips to get the best results

Show HN: Bolt – A super-fast, statically-typed scripting language written in C

The Sunlight Budget of Earth

Best Mattress 2025: We’ve Tested 100+ so You Can Sleep Soundly

VSCode extension for syntax highlighting multi-line YAML strings

Gemini Embedding: Powering RAG and context engineering

The 10-3-2-1-0 Sleep Hack May Kick Your Restless Nights to the Curb

Efficient Computer's Electron E1 CPU – 100x more efficient than Arm?

100X More Efficient Than ARM Processors – Electron E1

Trying to Get a Better Night's Sleep? Try the 10-3-2-1-0 Sleep Hack

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