Automatic differentiation
In mathematics and computer algebra, automatic differentiation (AD), also called algorithmic differentiation or computational differentiation, is a set of techniques to numerically evaluate the derivative of a function specified by a computer program. AD exploits the fact that every computer program, no matter how complicated, executes a sequence of elementary arithmetic operations (addition, subtraction, multiplication, division, etc.) and elementary functions (exp, log, sin, cos, etc.). By applying the chain rule repeatedly to these operations, derivatives of arbitrary order can be computed automatically, accurately to working precision, and using at most a small constant factor more arithmetic operations than the original program.
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Automatic differentiation
In mathematics and computer algebra, automatic differentiation (AD), also called algorithmic differentiation or computational differentiation, is a set of techniques to numerically evaluate the derivative of a function specified by a computer program. AD exploits the fact that every computer program, no matter how complicated, executes a sequence of elementary arithmetic operations (addition, subtraction, multiplication, division, etc.) and elementary functions (exp, log, sin, cos, etc.). By applying the chain rule repeatedly to these operations, derivatives of arbitrary order can be computed automatically, accurately to working precision, and using at most a small constant factor more arithmetic operations than the original program.
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Das automatische Differenziere ...... swertung der Ausgangsfunktion.
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Em matemática e álgebra comput ...... utilizar Derivação numérica.
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En matemática y álgebra comput ...... al cálculo simbólico complejo.
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In mathematics and computer al ...... ng more software dependencies.
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在數學和計算機代數中，自動微分有時稱作演算式微分, 是一種可 ...... 最基礎的層面做符號轉換，自動微分避免了複雜的符號運算的問題。
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自動微分（じどうびぶん、アルゴリズム的微分とも）とは、プログ ...... erentiation (あるいは単に AD) と呼ばれる。
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742,936,348
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Das automatische Differenziere ...... gigen Variablen abhängig sein.
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Em matemática e álgebra comput ...... utilizar Derivação numérica.
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En matemática y álgebra comput ...... utilizar derivación numérica.
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In mathematics and computer al ...... ons than the original program.
@en
在數學和計算機代數中，自動微分有時稱作演算式微分, 是一種可 ...... 最基礎的層面做符號轉換，自動微分避免了複雜的符號運算的問題。
@zh
自動微分（じどうびぶん、アルゴリズム的微分とも）とは、プログ ...... は速度が遅い。自動微分はこれらの古典的手法の問題を解決する。
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label
Automatic differentiation
@en
Automatisches Differenzieren
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Diferenciación automática
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Diferenciação automática
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自動微分
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自動微分
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