https://wiki.apertium.org/w/api.php?action=feedcontributions&user=Himanshu40&feedformat=atomApertium - User contributions [en]2024-03-28T09:22:51ZUser contributionsMediaWiki 1.34.1https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65522User:Himanshu402018-01-06T17:38:52Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports NDFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' and it consists of a system like '''K, ⊕, ⊗, 0, 1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
'''⊕''' is used to combine the weight of two identically labeled alternative paths.<br />
<br />
'''⊗''' is used to combine weights along a path or when matching paths in composition or intersection.<br />
<br />
==Calculation of weights in lttoolbox==<br />
An '''arc weight''' in an FST gives the cost of taking that transition.<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-<br />
* <code>>></code> :- This reads textual representation of a weight.<br />
* <code><<</code> :- This prints textual representation of a weight.<br />
* <code>LeftSemiring</code> :- This indicates how weights form a left semi-ring.<br />
* <code>RightSemiring</code> :- This indicates how weights form a right semi-ring.<br />
* <code>Read(istream &)</code> :- This reads binary representation of a weight.<br />
* <code>Write(ostream &)</code> :- This writes binary representation of a weight.<br />
* <code>ApproxEqual</code> :- This shows approximate equality (for inexact weights).</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65521User:Himanshu402018-01-06T17:28:53Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports NDFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' and it consists of a system like '''K, ⊕, ⊗, 0, 1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
'''⊕''' is used to combine the weight of two identically labeled alternative paths.<br />
<br />
'''⊗''' is used to combine weights along a path or when matching paths in composition or intersection.<br />
<br />
==Calculation of weights in lttoolbox==<br />
An '''arc weight''' in an FST gives the cost of taking that transition.<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-<br />
* <code>>></code> :- This reads textual representation of a weight.<br />
* <code><<</code> :- This prints textual representation of a weight.<br />
* <code>LeftSemiring</code> :- This indicates how weights form a left semi-ring.<br />
* <code>RightSemiring</code> :- This indicates how weights form a right semi-ring.<br />
* <code>Read(istream &)</code> :- This reads binary representation of a weight.<br />
* <code>Write(ostream &)</code> :- This writes binary representation of a weight.<br />
* <code>ApproxEqual</code> :- This shows approximate equality (for inexact weights).<br />
* <code>ReverseWeight</code> :- This a type of the corresponding reverse weight and the same type as <code>Weight</code> for a both left and right semiring. For the left string semiring, it is the right string semiring.</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65520User:Himanshu402018-01-06T15:22:42Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports NDFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' and it consists of a system like '''K, ⊕, ⊗, 0, 1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
'''⊕''' is used to combine the weight of two identically labeled alternative paths.<br />
<br />
'''⊗''' is used to combine weights along a path or when matching paths in composition or intersection.<br />
<br />
==Calculation of weights in lttoolbox==<br />
An '''arc weight''' in an FST gives the cost of taking that transition.<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-<br />
* <code>>></code> :- This reads textual representation of a weight.<br />
* <code><<</code> :- This prints textual representation of a weight.<br />
* <code>LeftSemiring</code> :- This indicates how weights form a left semi-ring.<br />
* <code>RightSemiring</code> :- This indicates how weights form a right semi-ring.<br />
* <code>Read(istream &)</code> :- This reads binary representation of a weight.<br />
* <code>Write(ostream &)</code> :- This writes binary representation of a weight.<br />
* <code>NoWeight</code> :- This is a static member function that returns an element which is not a set member and used to signal an error.<br />
* <code>ApproxEqual</code> :- This shows approximate equality (for inexact weights).<br />
* <code>ReverseWeight</code> :- This a type of the corresponding reverse weight and the same type as <code>Weight</code> for a both left and right semiring. For the left string semiring, it is the right string semiring.</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65519User:Himanshu402018-01-06T11:06:27Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports NDFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' and it consists of a system like '''K, ⊕, ⊗, 0, 1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
'''⊕''' is used to combine the weight of two identically labeled alternative paths.<br />
<br />
'''⊗''' is used to combine weights along a path or when matching paths in composition or intersection.<br />
<br />
==Calculation of weights in lttoolbox==<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-<br />
* <code>>></code> :- This reads textual representation of a weight.<br />
* <code><<</code> :- This prints textual representation of a weight.<br />
* <code>LeftSemiring</code> :- This indicates how weights form a left semi-ring.<br />
* <code>RightSemiring</code> :- This indicates how weights form a right semi-ring.<br />
* <code>Read(istream &)</code> :- This reads binary representation of a weight.<br />
* <code>Write(ostream &)</code> :- This writes binary representation of a weight.<br />
* <code>NoWeight</code> :- This is a static member function that returns an element which is not a set member and used to signal an error.<br />
* <code>ApproxEqual</code> :- This shows approximate equality (for inexact weights).<br />
* <code>ReverseWeight</code> :- This a type of the corresponding reverse weight and the same type as <code>Weight</code> for a both left and right semiring. For the left string semiring, it is the right string semiring.</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65518User:Himanshu402018-01-06T10:56:50Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports NDFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' and it consists of a system like '''K, ⊕, ⊗, 0, 1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
'''⊕''' is used to combine the weight of two identically labeled alternative paths.<br />
<br />
'''⊗''' is used to combine weights along a path or when matching paths in composition or intersection.<br />
<br />
==Store weights in lttoolbox==<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-<br />
* <code>>></code> :- This reads textual representation of a weight.<br />
* <code><<</code> :- This prints textual representation of a weight.<br />
* <code>LeftSemiring</code> :- This indicates how weights form a left semi-ring.<br />
* <code>RightSemiring</code> :- This indicates how weights form a right semi-ring.<br />
* <code>Read(istream &)</code> :- This reads binary representation of a weight.<br />
* <code>Write(ostream &)</code> :- This writes binary representation of a weight.<br />
* <code>NoWeight</code> :- This is a static member function that returns an element which is not a set member and used to signal an error.<br />
* <code>ApproxEqual</code> :- This shows approximate equality (for inexact weights).<br />
* <code>ReverseWeight</code> :- This a type of the corresponding reverse weight and the same type as <code>Weight</code> for a both left and right semiring. For the left string semiring, it is the right string semiring.</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65513User:Himanshu402018-01-05T19:33:52Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports DFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' and it consists of a system like '''K, ⊕, ⊗, 0, 1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
'''⊕''' is used to combine the weight of two identically labeled alternative paths.<br />
<br />
'''⊗''' is used to combine weights along a path or when matching paths in composition or intersection.<br />
<br />
==Store weights in lttoolbox==<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-<br />
* <code>>></code> :- This reads textual representation of a weight.<br />
* <code><<</code> :- This prints textual representation of a weight.<br />
* <code>LeftSemiring</code> :- This indicates how weights form a left semi-ring.<br />
* <code>RightSemiring</code> :- This indicates how weights form a right semi-ring.<br />
* <code>Read(istream &)</code> :- This reads binary representation of a weight.<br />
* <code>Write(ostream &)</code> :- This writes binary representation of a weight.<br />
* <code>NoWeight</code> :- This is a static member function that returns an element which is not a set member and used to signal an error.<br />
* <code>ApproxEqual</code> :- This shows approximate equality (for inexact weights).<br />
* <code>ReverseWeight</code> :- This a type of the corresponding reverse weight and the same type as <code>Weight</code> for a both left and right semiring. For the left string semiring, it is the right string semiring.</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65510User:Himanshu402018-01-05T19:19:45Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports DFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
'''⊕''' is used to combine the weight of two identically labeled alternative paths.<br />
<br />
'''⊗''' is used to combine weights along a path or when matching paths in composition or intersection.<br />
<br />
==Store weights in lttoolbox==<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-<br />
* <code>>></code> :- This reads textual representation of a weight.<br />
* <code><<</code> :- This prints textual representation of a weight.<br />
* <code>LeftSemiring</code> :- This indicates how weights form a left semi-ring.<br />
* <code>RightSemiring</code> :- This indicates how weights form a right semi-ring.<br />
* <code>Read(istream &)</code> :- This reads binary representation of a weight.<br />
* <code>Write(ostream &)</code> :- This writes binary representation of a weight.<br />
* <code>NoWeight</code> :- This is a static member function that returns an element which is not a set member and used to signal an error.<br />
* <code>ApproxEqual</code> :- This shows approximate equality (for inexact weights).</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65508User:Himanshu402018-01-05T19:06:02Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports DFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
==Store weights in lttoolbox==<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-<br />
* <code>>></code> :- This reads textual representation of a weight.<br />
* <code><<</code> :- This prints textual representation of a weight.<br />
* <code>LeftSemiring</code> :- This indicates how weights form a left semi-ring.<br />
* <code>RightSemiring</code> :- This indicates how weights form a right semi-ring.<br />
* <code>Read(istream &)</code> :- This reads binary representation of a weight.<br />
* <code>Write(ostream &)</code> :- This writes binary representation of a weight.<br />
* <code>NoWeight</code> :- This is a static member function that returns an element which is not a set member and used to signal an error.<br />
*</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65507User:Himanshu402018-01-05T18:52:12Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
'''Weighted transducers''' are automata in which each transition in addition to its usual input label is augmented with an output label from a possible new alphabet, and carries some weight element of a semiring.<br />
<br />
For weight in lttoolbox which currently supports DFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''Semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.<br />
<br />
==Store weights in lttoolbox==<br />
* A <code>Weight</code> class must have binary functions <code>Plus</code> and <code>Times</code> these must form a left or right semiring.<br />
Also in class <code>Weight</code>, there are some additions which must be defined like the following:-</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65503User:Himanshu402018-01-05T16:11:15Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
===Theory===<br />
<br />
For weight in ltoolbox which currently supports DFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.<br />
A '''left semiring''' distributes on the left and also a '''right semiring''' is similarly defined.</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65497User:Himanshu402018-01-05T11:11:13Z<p>Himanshu40: </p>
<hr />
<div>==Weights to lttoolbox==<br />
<br />
For weight in ltoolbox which currently supports DFA system, we need '''Semi-ring''' for calculating weight.<br />
<br />
A '''semiring''' is defined by two binary operations '''⊕''' and '''⊗''' and two designated elements '''0''' and '''1''' with following properties:-<br />
* '''⊕''' shows associative, commutative and has 0 as its own identity.<br />
* '''⊗''' shows associative and has 1 as its own identity.</div>Himanshu40https://wiki.apertium.org/w/index.php?title=User:Himanshu40&diff=65319User:Himanshu402018-01-01T20:57:09Z<p>Himanshu40: Created page with "==Weights to lttoolbox=="</p>
<hr />
<div>==Weights to lttoolbox==</div>Himanshu40