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Chris McKay@Maginative //
OpenAI has released its latest AI models, o3 and o4-mini, designed to enhance reasoning and tool use within ChatGPT. These models aim to provide users with smarter and faster AI experiences by leveraging web search, Python programming, visual analysis, and image generation. The models are designed to solve complex problems and perform tasks more efficiently, positioning OpenAI competitively in the rapidly evolving AI landscape. Greg Brockman from OpenAI noted the models "feel incredibly smart" and have the potential to positively impact daily life and solve challenging problems.

The o3 model stands out due to its ability to use tools independently, which enables more practical applications. The model determines when and how to utilize tools such as web search, file analysis, and image generation, thus reducing the need for users to specify tool usage with each query. The o3 model sets new standards for reasoning, particularly in coding, mathematics, and visual perception, and has achieved state-of-the-art performance on several competition benchmarks. The model excels in programming, business, consulting, and creative ideation.

Usage limits for these models vary, with o3 at 50 queries per week, and o4-mini at 150 queries per day, and o4-mini-high at 50 queries per day for Plus users, alongside 10 Deep Research queries per month. The o3 model is available to ChatGPT Pro and Team subscribers, while the o4-mini models are used across ChatGPT Plus. OpenAI says o3 is also beneficial in generating and critically evaluating novel hypotheses, especially in biology, mathematics, and engineering contexts.

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  • Simon Willison's Weblog: OpenAI are really emphasizing tool use with these: For the first time, our reasoning models can agentically use and combine every tool within ChatGPT—this includes searching the web, analyzing uploaded files and other data with Python, reasoning deeply about visual inputs, and even generating images. Critically, these models are trained to reason about when and how to use tools to produce detailed and thoughtful answers in the right output formats, typically in under a minute, to solve more complex problems.
  • the-decoder.com: OpenAI’s new o3 and o4-mini models reason with images and tools
  • venturebeat.com: OpenAI launches o3 and o4-mini, AI models that ‘think with images’ and use tools autonomously
  • www.analyticsvidhya.com: o3 and o4-mini: OpenAI’s Most Advanced Reasoning Models
  • www.tomsguide.com: OpenAI's o3 and o4-mini models
  • Maginative: OpenAI’s latest models—o3 and o4-mini—introduce agentic reasoning, full tool integration, and multimodal thinking, setting a new bar for AI performance in both speed and sophistication.
  • THE DECODER: OpenAI’s new o3 and o4-mini models reason with images and tools
  • Analytics Vidhya: o3 and o4-mini: OpenAI’s Most Advanced Reasoning Models
  • www.zdnet.com: These new models are the first to independently use all ChatGPT tools.
  • The Tech Basic: OpenAI recently released its new AI models, o3 and o4-mini, to the public. Smart tools employ pictures to address problems through pictures, including sketch interpretation and photo restoration.
  • thetechbasic.com: OpenAI’s new AI Can “See†and Solve Problems with Pictures
  • www.marktechpost.com: OpenAI Introduces o3 and o4-mini: Progressing Towards Agentic AI with Enhanced Multimodal Reasoning
  • MarkTechPost: OpenAI Introduces o3 and o4-mini: Progressing Towards Agentic AI with Enhanced Multimodal Reasoning
  • analyticsindiamag.com: Access to o3 and o4-mini is rolling out today for ChatGPT Plus, Pro, and Team users.
  • THE DECODER: OpenAI is expanding its o-series with two new language models featuring improved tool usage and strong performance on complex tasks.
  • gHacks Technology News: OpenAI released its latest models, o3 and o4-mini, to enhance the performance and speed of ChatGPT in reasoning tasks.
  • www.ghacks.net: OpenAI Launches o3 and o4-Mini models to improve ChatGPT's reasoning abilities
  • Data Phoenix: OpenAI releases new reasoning models o3 and o4-mini amid intense competition. OpenAI has launched o3 and o4-mini, which combine sophisticated reasoning capabilities with comprehensive tool integration.
  • Shelly Palmer: OpenAI Quietly Reshapes the Landscape with o3 and o4-mini. OpenAI just rolled out a major update to ChatGPT, quietly releasing three new models (o3, o4-mini, and o4-mini-high) that offer the most advanced reasoning capabilities the company has ever shipped.
  • THE DECODER: Safety assessments show that OpenAI's o3 is probably the company's riskiest AI model to date
  • shellypalmer.com: OpenAI Quietly Reshapes the Landscape with o3 and o4-mini
  • BleepingComputer: OpenAI details ChatGPT-o3, o4-mini, o4-mini-high usage limits
  • TestingCatalog: OpenAI’s o3 and o4‑mini bring smarter tools and faster reasoning to ChatGPT
  • simonwillison.net: Introducing OpenAI o3 and o4-mini
  • bdtechtalks.com: What to know about o3 and o4-mini, OpenAI’s new reasoning models
  • bdtechtalks.com: What to know about o3 and o4-mini, OpenAI’s new reasoning models
  • thezvi.wordpress.com: OpenAI has finally introduced us to the full o3 along with o4-mini. Greg Brockman (OpenAI): Just released o3 and o4-mini! These models feel incredibly smart. We’ve heard from top scientists that they produce useful novel ideas. Excited to see their …
  • thezvi.wordpress.com: OpenAI has upgraded its entire suite of models. By all reports, they are back in the game for more than images. GPT-4.1 and especially GPT-4.1-mini are their new API non-reasoning models.
  • felloai.com: OpenAI has just launched a brand-new series of GPT models—GPT-4.1, GPT-4.1 mini, and GPT-4.1 nano—that promise major advances in coding, instruction following, and the ability to handle incredibly long contexts.
  • Interconnects: OpenAI's o3: Over-optimization is back and weirder than ever
  • www.ishir.com: OpenAI has released o3 and o4-mini, adding significant reasoning capabilities to its existing models. These advancements will likely transform the way users interact with AI-powered tools, making them more effective and versatile in tackling complex problems.
  • www.bigdatawire.com: OpenAI released the models o3 and o4-mini that offer advanced reasoning capabilities, integrated with tool use, like web searches and code execution.
  • Drew Breunig: OpenAI's o3 and o4-mini models offer enhanced reasoning capabilities in mathematical and coding tasks.
  • TestingCatalog: OpenAI’s o3 and o4-mini bring smarter tools and faster reasoning to ChatGPT
  • www.techradar.com: ChatGPT model matchup - I pitted OpenAI's o3, o4-mini, GPT-4o, and GPT-4.5 AI models against each other and the results surprised me
  • www.techrepublic.com: OpenAI’s o3 and o4-mini models are available now to ChatGPT Plus, Pro, and Team users. Enterprise and education users will get access next week.
  • Last Week in AI: OpenAI’s new GPT-4.1 AI models focus on coding, OpenAI launches a pair of AI reasoning models, o3 and o4-mini, Google’s newest Gemini AI model focuses on efficiency, and more!
  • techcrunch.com: OpenAI’s new reasoning AI models hallucinate more.
  • computational-intelligence.blogspot.com: OpenAI's new reasoning models, o3 and o4-mini, are a step up in certain capabilities compared to prior models, but their accuracy is being questioned due to increased instances of hallucinations.
  • www.unite.ai: unite.ai article discussing OpenAI's o3 and o4-mini new possibilities through multimodal reasoning and integrated toolsets.
  • Unite.AI: On April 16, 2025, OpenAI released upgraded versions of its advanced reasoning models.
  • Digital Information World: OpenAI’s Latest o3 and o4-mini AI Models Disappoint Due to More Hallucinations than Older Models
  • techcrunch.com: TechCrunch reports on OpenAI's GPT-4.1 models focusing on coding.
  • Analytics Vidhya: o3 vs o4-mini vs Gemini 2.5 pro: The Ultimate Reasoning Battle
  • THE DECODER: OpenAI's o3 achieves near-perfect performance on long context benchmark.
  • the-decoder.com: OpenAI's o3 achieves near-perfect performance on long context benchmark
  • www.analyticsvidhya.com: AI models keep getting smarter, but which one truly reasons under pressure? In this blog, we put o3, o4-mini, and Gemini 2.5 Pro through a series of intense challenges: physics puzzles, math problems, coding tasks, and real-world IQ tests.
  • Simon Willison's Weblog: This post explores the use of OpenAI's o3 and o4-mini models for conversational AI, highlighting their ability to use tools in their reasoning process. It also discusses the concept of
  • Simon Willison's Weblog: The benchmark score on OpenAI's internal PersonQA benchmark (as far as I can tell no further details of that evaluation have been shared) going from 0.16 for o1 to 0.33 for o3 is interesting, but I don't know if it it's interesting enough to produce dozens of headlines along the lines of "OpenAI's o3 and o4-mini hallucinate way higher than previous models"
  • techstrong.ai: Techstrong.ai reports OpenAI o3, o4 Reasoning Models Have Some Kinks.
  • www.marktechpost.com: OpenAI Releases a Practical Guide to Identifying and Scaling AI Use Cases in Enterprise Workflows
  • Towards AI: OpenAI's o3 and o4-mini models have demonstrated promising improvements in reasoning tasks, particularly their use of tools in complex thought processes and enhanced reasoning capabilities.
  • Analytics Vidhya: In this article, we explore how OpenAI's o3 reasoning model stands out in tasks demanding analytical thinking and multi-step problem solving, showcasing its capability in accessing and processing information through tools.
  • pub.towardsai.net: TAI#149: OpenAI’s Agentic o3; New Open Weights Inference Optimized Models (DeepMind Gemma, Nvidia…
  • composio.dev: OpenAI o3 vs. Gemini 2.5 Pro vs. o4-mini
  • Composio: OpenAI o3 and o4-mini are out. They are two reasoning state-of-the-art models. They’re expensive, multimodal, and super efficient at tool use.
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Tom Bridges@blogs.surrey.ac.uk //
Mathematical research and discoveries have been highlighted recently through several avenues. Vanderbilt University is hosting a series of workshops focused on "Groups in Geometry, Analysis and Logic," emphasizing the central role of group theory in mathematics and its connections to other fields. The workshops aim to foster collaboration and provide educational opportunities for graduate students and early-career mathematicians. The initial workshop, scheduled for May 28 through June 1, 2025, will specifically address Groups in Logic. In other news, Cesare Tronci delivered a PAP/MAS Colloquium at Nanyang Technological University on "Koopman trajectories in nonadiabatic quantum-classical dynamics."

The mathematical community is also celebrating the 238th Carnival of Mathematics, organized by Aperiodical. This event showcases a variety of mathematical art and engaging content. This month's carnival dives into the number 238, noting it is 2 × 7 × 17, the sum of the first 13 primes, and a "triprime." The community has contributed interesting facts about 238, including its connection to Uranium-238 and its representation as "EE" in Hex. The carnival also highlights mathematical blog posts and activities, such as Peter Cameron's reflections on compactness and government censorship in research, and Jeremy Kun's announcement of a new book on practical math for programmers.

In related news, PDQ Shor, described as the smarter brother of Peter Shor and a Physicist/Computer Scientist/Mathematician/Astrologer/Psychic, has reportedly passed away. Known for his concept of unnatural proofs and contributions to quantum computing theory, PDQ Shor is credited with creating the perpetual Turing machine and reverse engineering his brother’s quantum space work. Despite his contributions to the field, there are some discrepancies with his actual existence and this could be an April Fools day joke.

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