Budget BalanceYou may well walk into the Apple Store on March 11 and demand a Citrus MacBook Neo (yes, get that color), and gleefully hand over six hundred bucks secure in the knowledge you're bagging a deal, but anyone doing so can also rightfully ask themselves, “Hang on, how on Earth can Apple charge me only $599 for a new MacBook, but then demand $800 for an Apple Watch?”
The BrokenMath benchmark (NeurIPS 2025 Math-AI Workshop) tested this in formal reasoning across 504 samples. Even GPT-5 produced sycophantic “proofs” of false theorems 29% of the time when the user implied the statement was true. The model generates a convincing but false proof because the user signaled that the conclusion should be positive. GPT-5 is not an early model. It’s also the least sycophantic in the BrokenMath table. The problem is structural to RLHF: preference data contains an agreement bias. Reward models learn to score agreeable outputs higher, and optimization widens the gap. Base models before RLHF were reported in one analysis to show no measurable sycophancy across tested sizes. Only after fine-tuning did sycophancy enter the chat. (literally)
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Dataset: huggingface.co/datasets/pebblebed/kernel-vuln-dataset
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也就在这个时候，隆德解放了。新来的地方干部打听到他是读过书的，成绩还不错，就跟他说，你也18岁了，干脆就来给我们当文书算了。就这样，他又成了村里唯一一个因为读书改变命运的人。，这一点在clash下载中也有详细论述
乔忠良：准确地说，我们的扩展路径是一个“扇形” 。先从焊接场景切进去，最后像扇子一样慢慢展开，应用场景越来越丰富，计算能力越来越强。