probability

"当事件 x 以概率 p(x) 发生时，其自信息（surprisal）为：I(x) = -log2 p(x) [bit]"

"LLM不是你“掌握”的东西，而是被设计出来的对象。"

"我们通过模拟和三个真实的案例研究证明了MCLLO方法的有效性，这些案例涉及通过卷积神经网络的图像分类、通过随机森林的肥胖分析以及通过回归建模的生态学。"

"文章总结了Kevin P. Murphy的《概率机器学习：入门篇 I》第2章（单变量概率模型）练习题的解答和直观解释。"

"贝叶斯定理是贯穿整个机器学习最美的定理，尤其是在生物信息学中，它是“从观测数据中估计隐藏的真理”的最强工具。"

"我们引入了一种新的机器学习方法，称为基于Gabriel编辑集的惩罚剖面支持向量机，用于计算复杂系统的故障概率，该概率由计算机模型对系统行为的阈值条件确定。"

"我想知道在为指定职位设置的基于数学的环节中，可能会出现什么样的情景。"

"Editor’s note: This article is a part of our series on visualizing the foundations of machine learning."

"Softmax takes the raw, unbounded scores produced by a neural network and transforms them into a well-defined probability distribution..."

"The article is found on ArXiv."

"The analysis centers on 'first-passage times,' a core concept in the study of random walks."

"Boundary behavior of continuous-state interacting multi-type branching processes with immigration"

"The source is ArXiv."

"The context is the ArXiv preprint server."

"The research focuses on probability estimation."

"The article's context revolves around efficient calculation of level-crossing probabilities within Gaussian Process models."

"Context is limited to the title and source."

"The article likely provides an overview of the application of free probability theory."

"The source is Hacker News."