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Solomonoff's theory of inductive inference 所罗门诺夫的归纳推理理论 Teoria da Inferência Indutiva de Solomonoff نظرية سولومونوف في الاستدلال الاستقرائي
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Solomonoff's theory of inductive inference is a mathematical proof that if a universe is generated by an algorithm, then observations of that universe, encoded as a dataset, are best predicted by the smallest executable archive of that dataset. This formalization of Occam's razor for induction was introduced by Ray Solomonoff, based on probability theory and theoretical computer science. In essence, Solomonoff's induction derives the posterior probability of any computable theory, given a sequence of observed data. This posterior probability is derived from Bayes rule and some universal prior, that is, a prior that assigns a positive probability to any computable theory. 所罗门诺夫的归纳推理理论(Solomonoff's theory of inductive inference)是对奥卡姆剃刀叙述的数学化描述。该理论指出:在所有能够完全描述的已观测的可计算类中,较短的可计算理论在估计下一次观测结果的概率时具有较大的权重。简而言之,在几组可以给出的答案的假设论述中,假设越少的越被大家选择。引申为“越简单的越易行”。 نظرية سولومونوف في الاستدلال الاستقرائي هي دليل رياضي على أنه إذا تم إنشاء الكون من خلال خوارزمية، فمن الأفضل توقع ملاحظات هذا الكون كمجموعة بيانات، من خلال أصغر أرشيف قابل للتنفيذ لمجموعة البيانات هذه، تم تقديم هذا الشكل للحث بواسطة راي سولومونوف، بناءً على نظرية الاحتمالات وعلوم الحاسوب النظرية. يستمد استقراء سولومونوف اللاحتمال لأي نظرية قابلة للحساب، بالنظر إلى تسلسل البيانات المرصودة. يُشتق هذا الاحتمال اللاحق من قاعدة بايز وبعض القواعد العامة السابقة، أي السابقة التي تعين احتمالًا إيجابيًا لأي نظرية حسابية. A Teoria de Inferência Indutiva Universal de Solomonoff é uma teoria de predição baseada em observações lógicas, assim como predizendo o próximo símbolo baseada numa dada série de símbolos. A única suposição é de que o ambiente segue alguma distribuição probabilística desconhecida mas computável. Isso é uma lâmina de Occam matematicamente formalizada.
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A Teoria de Inferência Indutiva Universal de Solomonoff é uma teoria de predição baseada em observações lógicas, assim como predizendo o próximo símbolo baseada numa dada série de símbolos. A única suposição é de que o ambiente segue alguma distribuição probabilística desconhecida mas computável. Isso é uma lâmina de Occam matematicamente formalizada. نظرية سولومونوف في الاستدلال الاستقرائي هي دليل رياضي على أنه إذا تم إنشاء الكون من خلال خوارزمية، فمن الأفضل توقع ملاحظات هذا الكون كمجموعة بيانات، من خلال أصغر أرشيف قابل للتنفيذ لمجموعة البيانات هذه، تم تقديم هذا الشكل للحث بواسطة راي سولومونوف، بناءً على نظرية الاحتمالات وعلوم الحاسوب النظرية. يستمد استقراء سولومونوف اللاحتمال لأي نظرية قابلة للحساب، بالنظر إلى تسلسل البيانات المرصودة. يُشتق هذا الاحتمال اللاحق من قاعدة بايز وبعض القواعد العامة السابقة، أي السابقة التي تعين احتمالًا إيجابيًا لأي نظرية حسابية. Solomonoff's theory of inductive inference is a mathematical proof that if a universe is generated by an algorithm, then observations of that universe, encoded as a dataset, are best predicted by the smallest executable archive of that dataset. This formalization of Occam's razor for induction was introduced by Ray Solomonoff, based on probability theory and theoretical computer science. In essence, Solomonoff's induction derives the posterior probability of any computable theory, given a sequence of observed data. This posterior probability is derived from Bayes rule and some universal prior, that is, a prior that assigns a positive probability to any computable theory. 所罗门诺夫的归纳推理理论(Solomonoff's theory of inductive inference)是对奥卡姆剃刀叙述的数学化描述。该理论指出:在所有能够完全描述的已观测的可计算类中,较短的可计算理论在估计下一次观测结果的概率时具有较大的权重。简而言之,在几组可以给出的答案的假设论述中,假设越少的越被大家选择。引申为“越简单的越易行”。
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