The cost of thinking

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Large language models (LLMs) like ChatGPT can write an essay or plan a menu almost instantly. But until recently, it was also easy to stump them. The models, which rely on language patterns to respond to users’ queries, often failed at math problems and were not good at complex reasoning. Suddenly, however, they’ve gotten a lot better at these things. A new generation of LLMs known as reasoning models are being trained to solve complex problems. Like humans, […]

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The Machine Learning “Advent Calendar” Day 11: Linear Regression in Excel

The Machine Learning “Advent Calendar” Day 11: Linear Regression in Excel

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Linear Regression looks simple, but it introduces the core ideas of modern machine learning: loss functions, optimization, gradients, scaling, and interpretation. In this article, we rebuild Linear Regression in Excel, compare the closed-form solution with Gradient Descent, and see how the coefficients evolve step by step. This foundation naturally leads to regularization, kernels, classification, and the dual view. Linear Regression is not just a straight line, but the starting point for many models we will explore next in […]

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Update to GPT-5 System Card: GPT-5.2

Update to GPT-5 System Card: GPT-5.2

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GPT-5.2 is the latest model family in the GPT-5 series. The comprehensive safety mitigation approach for these models is largely the same as that described in the GPT-5 System Card and GPT-5.1 System Card. Like OpenAI’s other models, the GPT-5.2 models were trained on diverse datasets, including information that is publicly available on the internet, information that we partner with third parties to access, and information that our users or human trainers and researchers provide or generate.

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BondingAI Acquires GenAItechLab, Add Core Team Members

BondingAI Acquires GenAItechLab, Add Core Team Members

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BondingAI acquisition of GenAItechLab.com was recently completed, including all the IP related to the xLLM technology, the material published on MLtechniques and the most recent technology pertaining to deep neural networks watermarking. GenAItechLab was founded in 2024 by Vincent Granville, a world-class leader and well-known scientist building innovative and efficient AI solutions from scratch, hallucination-free, without Blackbox or GPU, yet delivering better results faster. Doctor Granville is now Chief AI Architect, co-founder and investor at BondingAI. In the […]

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The Economics of the Sacred: Politics as a Covenant Exercise

The Economics of the Sacred: Politics as a Covenant Exercise

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The lie that religion has no bearing on politics has yielded the kind of politics we have now: managerial, sterile, and devoid of moral conviction. The idea that political office could be a covenantal trust or that economic policy might have covenantal implications would strike most technocrats as medieval sentimentality; yet, the biblical worldview insists that public life is precisely where covenants are lived or broken. Continue Reading…

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