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LLMs
Large language models are machine learning models trained to predict and generate text and other language-based outputs.
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How does this result fit into AI for mathematics?
If you’d asked me two weeks ago—before OpenAI’s announcement—about the most novel contributions of LLMs to mathematics, I probably would have pointed to the AlphaEvolve system from Google DeepMind. AlphaEvolve harnesses LLMs to be the engine of an optimization process. If you can turn a math problem into a piece of code to optimize, which you often can, the LLM might find better solutions than humans have for certain types of problems. In November, four mathematicians (including Terence Tao) released a paper that analyzed AlphaEvolve’s performance on 67 optimization problems across the mathema
An OpenAI model solved a famous math problem that stumped humans for 80 years
arstechnica.com › ai › 2026 › …
When it comes to total water use, AI data centers are a drop in the bucket
…Think globally, worry locally While there’s no risk of big tech companies literally draining the oceans to power the data centers behind their LLMs , even moderately sized data centers can have…
Jun 12, 2026
· Kyle Orland
arstechnica.com › science › 2026 › …
RIP social media. What comes next is messy.
…The first new paper , published in PLoS ONE, specifically focused on the echo chamber effect, using the same combined standard agent-based modeling with large language models (LLMs )—essentially creating little AI…
May 7, 2026
· Jennifer Ouellette
arstechnica.com › security › 2026 › …
Fed up with vibe coders, dev sneaks data-nuking prompt injection into their code
…code.” The addition was a prompt injection, a form of AI attack that exploits an LLM ’s inability to distinguish between legitimate user prompts and those from unauthorized, potentially malicious third parties…
May 28, 2026
· Dan Goodin
arstechnica.com › ai › 2026 › …
AI costs how much? GitHub Copilot users react to new usage-based pricing system.
…If that happens, LLMs that are more efficient with their tokens may win the economic battle; on Reddit, one user is already discussing how they’ve integrated Deepseek into their GitHub VSCode…
Jun 1, 2026
· Kyle Orland
arstechnica.com › tech-policy › 2026 › …
Sony's failed war against Internet piracy may doom other copyright lawsuits
…the firms that should benefit from the ruling because products based on large language models (LLMs ) can be used for many non-infringing activities and thus aren’t specifically tailored to be…
May 11, 2026
· Jon Brodkin
arstechnica.com › ai › 2026 › …
AI put "synthetic quotes" in his book. But this author wants to keep using it.
…He was about to print those extracted notes when he realized that the LLM had actually rewritten his words despite his “very clear instructions for the robot.” “And I say to it…
May 22, 2026
· Kyle Orland
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