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5/nREFERENCES[1] Orion Weller, Michael Boratko, Iftekhar Naim, and Jinhyuk Lee. 2025. On the theoretical limitations of embedding-based...

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5/n

REFERENCES

[1] Orion Weller, Michael Boratko, Iftekhar Naim, and Jinhyuk Lee. 2025. On the theoretical limitations of embedding-based retrieval. arxiv.org/abs/2508.21038

[2] Yifu Qiu, Varun Embar, Yizhe Zhang, Navdeep Jaitly, Shay B. Cohen, and Benjamin Han. 2025. Eliciting in-context Retrieval and reasoning for long-context large language models. machinelearning.apple.com/rese repo: github.com/apple/ml-icr2

1.9.2025 01:195/nREFERENCES[1] Orion Weller, Michael Boratko, Iftekhar Naim, and Jinhyuk Lee. 2025. On the theoretical limitations of embedding-based...
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4/4. Three ways out: (1) Cross-encoders—placing docs in the prompt of a Long-Context LM; accurate but costly. (2) Multi-vector retrieval....

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4/

4. Three ways out: (1) Cross-encoders—placing docs in the prompt of a Long-Context LM; accurate but costly. (2) Multi-vector retrieval. (3) Sparse retrieval.

For cross-encoders, this links directly to our earlier work on ICR² [2], where combining training data design with model re-architecting improved retrieval performance (see picture 4). Many other paths remain open!

1.9.2025 01:194/4. Three ways out: (1) Cross-encoders—placing docs in the prompt of a Long-Context LM; accurate but costly. (2) Multi-vector retrieval....
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3/3. LIMIT dataset: To stress-test real models, they construct the LIMIT dataset consisting of 50k docs and 1k queries, each with 2 relevant...

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3/

3. LIMIT dataset: To stress-test real models, they construct the LIMIT dataset consisting of 50k docs and 1k queries, each with 2 relevant docs (picture1). All single-vector models fail badly, while BM25 and multi-vector methods perform much better (see picture 2).

1.9.2025 01:173/3. LIMIT dataset: To stress-test real models, they construct the LIMIT dataset consisting of 50k docs and 1k queries, each with 2 relevant...
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2/2. Oracle experiment: They empirically confirm this bound by directly optimizing embeddings (“free embeddings”) against the relevance...

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2/

2. Oracle experiment: They empirically confirm this bound by directly optimizing embeddings (“free embeddings”) against the relevance matrix. The critical corpus size grows only cubically with dimension. For example, with embedding dimension d = 1024, you can only represent all possible 2-doc query combinations up to about 4 million documents — far below typical web-scale retrieval needs.

1.9.2025 01:162/2. Oracle experiment: They empirically confirm this bound by directly optimizing embeddings (“free embeddings”) against the relevance...
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1/Embeddings are the beating heart of modern AI—powering RAG and serving as memory for agentic AI. But a new paper [1] shows a ceiling:1....

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1/

Embeddings are the beating heart of modern AI—powering RAG and serving as memory for agentic AI. But a new paper [1] shows a ceiling:

1. Dot-product retrieval is bounded by embedding dimension d; if the relevance matrix has sign-rank r, then d >= r is required—and no amount of training can avoid it.

1.9.2025 01:141/Embeddings are the beating heart of modern AI—powering RAG and serving as memory for agentic AI. But a new paper [1] shows a ceiling:1....
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Skipped today’s #Parkrun, and shadow-ran with my daughter in the community 5K race. It's her first race coming back to the school...

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Skipped today’s , and shadow-ran with my daughter in the community 5K race. It's her first race coming back to the school cross-country team after *two* years in recovery from her running injury. She did quite well in the first mile, but ran out of steam after finishing the first 2 miles. But this was only the first week, and i know she will outrun me in no time!

I did manage to sprint a bit at the end -- 4'28"/mi -- my fastest stride ever! 🙂

(half marathon race next Monday!)

31.8.2025 04:33Skipped today’s #Parkrun, and shadow-ran with my daughter in the community 5K race. It's her first race coming back to the school...
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Coachable human — achievement unlocked!#coachGPT #running

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Coachable human — achievement unlocked!

30.8.2025 03:40Coachable human — achievement unlocked!#coachGPT #running
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So much wonderful tech and engineering goes into this teeny tiny daily driver. (you also get to learn why dogs tilt their heads when...

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So much wonderful tech and engineering goes into this teeny tiny daily driver.

(you also get to learn why dogs tilt their heads when confused)

youtu.be/PB_8dGKh9JI?feature=s

29.8.2025 02:36So much wonderful tech and engineering goes into this teeny tiny daily driver. (you also get to learn why dogs tilt their heads when...
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Maier, #Franck, #Schumann: Sonatas for #Violin & #Piano Duo...

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Maier, , : Sonatas for & Duo Concertante

classical.music.apple.com/us/a

28.8.2025 15:18Maier, #Franck, #Schumann: Sonatas for #Violin & #Piano Duo...
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Beware my #British friends. https://mstdn.social/@Free_Press/115099995291652362

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Beware my friends. mstdn.social/@Free_Press/11509

27.8.2025 16:26Beware my #British friends. https://mstdn.social/@Free_Press/115099995291652362
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Oliver Davis & Antonio Vivaldi: SeasonsTrafalgar Sinfonia, Grace Davidson, Kerenza Peacock(looking forward to...

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Oliver Davis & Antonio Vivaldi: Seasons
Trafalgar Sinfonia, Grace Davidson, Kerenza Peacock

(looking forward to fall)

classical.music.apple.com/us/a

27.8.2025 16:20Oliver Davis & Antonio Vivaldi: SeasonsTrafalgar Sinfonia, Grace Davidson, Kerenza Peacock(looking forward to...
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Cause and effect #running #health https://mas.to/@SmudgeTheInsultCat/115092405352945410

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Cause and effect

mas.to/@SmudgeTheInsultCat/115

26.8.2025 16:10Cause and effect #running #health https://mas.to/@SmudgeTheInsultCat/115092405352945410
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“Exposure to heat waves over just two years could add up to 12 extra days of age-related health damage.”Humans produce greenhouse gases...

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“Exposure to heat waves over just two years could add up to 12 extra days of age-related health damage.”

Humans produce greenhouse gases -> global warming -> people age faster -> population decreases faster -> reduced greenhouse gases

nytimes.com/2025/08/25/climate

26.8.2025 16:01“Exposure to heat waves over just two years could add up to 12 extra days of age-related health damage.”Humans produce greenhouse gases...
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#Scarlatti: #piano sonatasJavier Perianeshttps://classical.music.apple.com/us/album/1810545013?l=en-US#classicalMusic #appleMusicClassical...

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: sonatas
Javier Perianes

classical.music.apple.com/us/a

26.8.2025 15:48#Scarlatti: #piano sonatasJavier Perianeshttps://classical.music.apple.com/us/album/1810545013?l=en-US#classicalMusic #appleMusicClassical...
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“Check all constants and make sure they are immutable.”Life is WONDERFUL!#genAI #coding #RooCode

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“Check all constants and make sure they are immutable.”

Life is WONDERFUL!

25.8.2025 20:55“Check all constants and make sure they are immutable.”Life is WONDERFUL!#genAI #coding #RooCode
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Happy Monday! Let’s watch #Pika fight first! https://youtu.be/Q2ua2luJW00#animals #video #bbc

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Happy Monday! Let’s watch fight first! youtu.be/Q2ua2luJW00

25.8.2025 14:40Happy Monday! Let’s watch #Pika fight first! https://youtu.be/Q2ua2luJW00#animals #video #bbc
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Great reading while training for #marathon races, I guess??? 🤔Are Marathon Runners More Likely to Get Cancer? - VICE...

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Great reading while training for races, I guess??? 🤔

Are Marathon Runners More Likely to Get Cancer? - VICE apple.news/A9uZaF_VXSxqNdeM5Tt

24.8.2025 13:23Great reading while training for #marathon races, I guess??? 🤔Are Marathon Runners More Likely to Get Cancer? - VICE...
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Adding this rule to project documentation guidelines to prevent #RooCode from going into the infinite-loop hell.#genAI #coding

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Adding this rule to project documentation guidelines to prevent from going into the infinite-loop hell.

23.8.2025 20:07Adding this rule to project documentation guidelines to prevent #RooCode from going into the infinite-loop hell.#genAI #coding
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Today’s run went according to #ChatGPT coach’s plan. The coach even gave a remark on the little drama I encountered! 😆#Running

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Today’s run went according to coach’s plan. The coach even gave a remark on the little drama I encountered! 😆

22.8.2025 02:09Today’s run went according to #ChatGPT coach’s plan. The coach even gave a remark on the little drama I encountered! 😆#Running
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J. S. #Bach & Sons: #Flute SonatasToshiyuki Shibata, Anthony...

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J. S. & Sons: Sonatas
Toshiyuki Shibata, Anthony Romaniuk

classical.music.apple.com/us/a

21.8.2025 15:29J. S. #Bach & Sons: #Flute SonatasToshiyuki Shibata, Anthony...
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