public void SemanticWebTest3()
{
// Simplified name model
var prop0 = Variable.Random(NamePrior()).Named("prop0");
// Simplified date model any string ending in a digit
var prop1 = Variable.Random(
StringDistribution.Char(DiscreteChar.Digit()) + StringDistribution.Any() + StringDistribution.Char(DiscreteChar.Digit()))
.Named("prop1");
var template = Variable.Random(StringDistribution.String("{0}") + WordStrings.WordMiddle() + StringDistribution.String("{1}"))
.Named("template");
var text = Variable.StringFormat(template, prop0, prop1).Named("text");
text.ObservedValue = "Tony Blair was born on 6 May 1953";
var engine = new InferenceEngine();
engine.Compiler.RecommendedQuality = QualityBand.Experimental;
engine.NumberOfIterations = 1;
var prop0Dist = engine.Infer <StringDistribution>(prop0);
var prop1Dist = engine.Infer <StringDistribution>(prop1);
var templateDist = engine.Infer <StringDistribution>(template);
StringInferenceTestUtilities.TestProbability(prop0Dist, 1.0, "Tony Blair");
StringInferenceTestUtilities.TestProbability(prop1Dist, 0.5, "1953", "6 May 1953");
StringInferenceTestUtilities.TestProbability(templateDist, 0.5, "{0} was born on {1}", "{0} was born on 6 May {1}");
}
public void PointMassDetection()
{
StringDistribution s1 = StringDistribution.OneOf("hello", "world", "people");
StringDistribution s2 = StringDistribution.OneOf("greetings", "people", "animals");
StringDistribution point1 = s1.Product(s2);
Assert.True(point1.IsPointMass);
Assert.Equal("people", point1.Point);
StringDistribution point2 = StringDistribution.OneOf(new Dictionary <string, double> {
{ "a", 3.0 }, { "b", 0.0 }
});
Assert.True(point2.IsPointMass);
Assert.Equal("a", point2.Point);
StringDistribution point3 = StringDistribution.CaseInvariant("123");
Assert.True(point3.IsPointMass);
Assert.Equal("123", point3.Point);
StringDistribution point4 = StringDistribution.Char('Z');
Assert.True(point4.IsPointMass);
Assert.Equal("Z", point4.Point);
StringDistribution point5 = StringDistribution.OneOf(1.0, StringDistribution.String("!"), 0.0, StringDistribution.Any());
Assert.True(point5.IsPointMass);
Assert.Equal("!", point5.Point);
StringDistribution point6 = StringDistribution.Repeat('@', minTimes: 3, maxTimes: 3);
Assert.True(point6.IsPointMass);
Assert.Equal("@@@", point6.Point);
StringDistribution point7 = StringDistribution.String("hello").Append(StringDistribution.String(" world"));
Assert.True(point7.IsPointMass);
Assert.Equal("hello world", point7.Point);
string point = string.Empty;
StringAutomaton point8Automaton = StringAutomaton.Empty();
for (int i = 0; i < 22; ++i)
{
const string PointElement = "a";
point8Automaton.AppendInPlace(StringAutomaton.ConstantOn(1.0, PointElement, PointElement));
point += PointElement;
}
StringDistribution point8 = StringDistribution.FromWeightFunction(point8Automaton);
Assert.True(point8.IsPointMass);
Assert.Equal(point, point8.Point);
}
public void Product5()
{
var uniformThenChar = StringDistribution.Any() + StringDistribution.Char('a');
var charThenUniform = StringDistribution.Char('a') + StringDistribution.Any();
var expectedProduct = StringDistribution.OneOf(
StringDistribution.Char('a') + StringDistribution.Any() + StringDistribution.Char('a'),
StringDistribution.Char('a'));
StringInferenceTestUtilities.TestProduct(uniformThenChar, charThenUniform, expectedProduct, string.Empty, "a", "aba", "abaa", "abd");
}
public void HelloWorld()
{
var a = Variable.Random(WordString()).Named("a");
var b = Variable.Random(WordString()).Named("b");
var template = Variable.Random(TemplateArgString() + StringDistribution.Char(' ') + TemplateArgString()).Named("template");
var c = Variable.StringFormat(template, a, b).Named("c");
var c2 = Variable.StringFormat(template, a, b).Named("c2");
var engine = new InferenceEngine();
engine.Compiler.RecommendedQuality = QualityBand.Experimental;
engine.Compiler.GivePriorityTo(typeof(ReplicateOp_NoDivide));
//engine.Compiler.BrowserMode = BrowserMode.Always;
engine.NumberOfIterations = 5;
//Console.WriteLine("c="+engine.Infer(c)); // expect Uniform(*)
c.ObservedValue = "Hello World";
Test("a", engine.Infer <IDistribution <string> >(a), "Hello", "World");
Test("b", engine.Infer <IDistribution <string> >(b), "Hello", "World");
Test("t", engine.Infer <IDistribution <string> >(template), "{0} {1}", "{1} {0}");
Test("c2", engine.Infer <IDistribution <string> >(c2), "Hello World", "Hello Hello", "World Hello", "World World");
b.ObservedValue = "World";
TestUnif("a", engine.Infer <IDistribution <string> >(a), "Hello");
TestUnif("t", engine.Infer <IDistribution <string> >(template), "{0} {1}");
TestUnif("c2", engine.Infer <IDistribution <string> >(c2), "Hello World");
b.ClearObservedValue();
a.ObservedValue = "Hello";
TestUnif("b", engine.Infer <IDistribution <string> >(b), "World");
TestUnif("t", engine.Infer <IDistribution <string> >(template), "{0} {1}");
TestUnif("c2", engine.Infer <IDistribution <string> >(c2), "Hello World");
b.ObservedValue = "World";
TestUnif("t", engine.Infer <IDistribution <string> >(template), "{0} {1}");
TestUnif("c2", engine.Infer <IDistribution <string> >(c2), "Hello World");
template.ObservedValue = "{0} {1}";
a.ClearObservedValue();
b.ClearObservedValue();
Test("a", engine.Infer <IDistribution <string> >(a), "Hello");
Test("b", engine.Infer <IDistribution <string> >(b), "World");
Test("c2", engine.Infer <IDistribution <string> >(c2), "Hello World");
b.ObservedValue = "World";
Test("a", engine.Infer <IDistribution <string> >(a), "Hello");
Test("c2", engine.Infer <IDistribution <string> >(c2), "Hello World");
b.ClearObservedValue();
a.ObservedValue = "Hello";
Test("b", engine.Infer <IDistribution <string> >(b), "World");
Test("c2", engine.Infer <IDistribution <string> >(c2), "Hello World");
}
public void InefficientPermutationRepresentation()
{
StringDistribution placeholder = StringDistribution.Char('{') + StringDistribution.Char(DiscreteChar.Digit()) + StringDistribution.Char('}');
StringDistribution formatPrior = placeholder + StringDistribution.String(" ");
formatPrior = StringDistribution.ZeroOrMore(formatPrior) + placeholder;
const int ArgCount = 6;
const int ArgLength = 3;
StringDistribution[] args = Util.ArrayInit(ArgCount, i => StringDistribution.String(new string((char)('0' + i), ArgLength)));
StringDistribution str = StringFormatOp_AllowMissingPlaceholders_NoArgumentNames.StrAverageConditional(formatPrior, args);
Console.WriteLine(str.GetWorkspaceOrPoint().States.Count);
StringInferenceTestUtilities.TestIfIncludes(str, "111 333 222", "111 222", "222 111", "111", "222", "333");
StringInferenceTestUtilities.TestIfExcludes(str, string.Empty, "111 111", "222 222 111", "333 111 222 333", "112", "1");
}
public void StringFromItems()
{
Variable <string> str = Variable.StringOfLength(2);
Variable <char> char1 = Variable.GetItem(str, 0);
Variable <char> char2 = Variable.GetItem(str, 1);
var engine = new InferenceEngine();
char1.ObservedValue = 'a';
char2.ObservedValue = 'b';
Assert.Equal(StringDistribution.PointMass("ab"), engine.Infer <StringDistribution>(str), ProbEps);
char1.ClearObservedValue();
Assert.Equal(
StringDistribution.Char(DiscreteChar.Any()) + StringDistribution.Char('b'),
engine.Infer <StringDistribution>(str),
ProbEps);
}
public void Char()
{
var charDist1 = StringDistribution.Char('a');
StringInferenceTestUtilities.TestProbability(charDist1, 1.0, "a");
StringInferenceTestUtilities.TestProbability(charDist1, 0.0, "aa", string.Empty);
var charDist2 = StringDistribution.Char(DiscreteChar.InRange('a', 'c'));
StringInferenceTestUtilities.TestProbability(charDist2, 1.0 / 3.0, "a", "b", "c");
StringInferenceTestUtilities.TestProbability(charDist2, 0.0, "ab", string.Empty);
Vector charProbs3 = PiecewiseVector.Zero(char.MaxValue + 1);
charProbs3['a'] = 0.1;
charProbs3['b'] = 0.9;
var charDist3 = StringDistribution.SingleElement(DiscreteChar.FromVector(charProbs3));
StringInferenceTestUtilities.TestProbability(charDist3, 0.1, "a");
StringInferenceTestUtilities.TestProbability(charDist3, 0.9, "b");
StringInferenceTestUtilities.TestProbability(charDist3, 0.0, "c", "ab", string.Empty);
}
/// <include file='FactorDocs.xml' path='factor_docs/message_op_class[@name="SingleOp"]/message_doc[@name="StrAverageConditional(DiscreteChar)"]/*'/>
public static StringDistribution StrAverageConditional(DiscreteChar character)
{
return(StringDistribution.Char(character));
}
private static StringDistribution TemplateArgString() =>
StringDistribution.Char('{') + StringDistribution.Char(DiscreteChar.Digit()) + StringDistribution.Char('}');
private static StringDistribution NamePart() => StringDistribution.Char(DiscreteChar.Upper()) + StringDistribution.Lower(minLength: 0);
/// <summary>Evidence message for EP.</summary>
/// <param name="concat">Constant value for <c>concat</c>.</param>
/// <param name="ch">Incoming message from <c>ch</c>.</param>
/// <param name="str">Incoming message from <c>str</c>.</param>
/// <returns>Logarithm of the factor's contribution the EP model evidence.</returns>
/// <remarks>
/// <para>The formula for the result is <c>log(sum_(ch,str) p(ch,str) factor(concat,ch,str))</c>. Adding up these values across all factors and variables gives the log-evidence estimate for EP.</para>
/// </remarks>
public static double LogEvidenceRatio(string concat, DiscreteChar ch, StringDistribution str)
{
return(StringConcatOp.LogEvidenceRatio(concat, StringDistribution.Char(ch), str));
}
/// <summary>Evidence message for EP.</summary>
/// <param name="concat">Incoming message from <c>concat</c>.</param>
/// <param name="ch">Incoming message from <c>ch</c>.</param>
/// <param name="str">Incoming message from <c>str</c>.</param>
/// <returns>Logarithm of the factor's average value across the given argument distributions.</returns>
/// <remarks>
/// <para>The formula for the result is <c>log(sum_(concat,ch,str) p(concat,ch,str) factor(concat,ch,str))</c>.</para>
/// </remarks>
public static double LogAverageFactor(StringDistribution concat, DiscreteChar ch, StringDistribution str)
{
return(StringConcatOp.LogAverageFactor(concat, StringDistribution.Char(ch), str));
}
/// <summary>EP message to <c>str</c>.</summary>
/// <param name="concat">Incoming message from <c>concat</c>.</param>
/// <param name="ch">Incoming message from <c>ch</c>.</param>
/// <returns>The outgoing EP message to the <c>str</c> argument.</returns>
/// <remarks>
/// <para>The outgoing message is a distribution matching the moments of <c>str</c> as the random arguments are varied. The formula is <c>proj[p(str) sum_(concat,ch) p(concat,ch) factor(concat,ch,str)]/p(str)</c>.</para>
/// </remarks>
public static StringDistribution StrAverageConditional(StringDistribution concat, DiscreteChar ch)
{
return(StringConcatOp.Str2AverageConditional(concat, StringDistribution.Char(ch)));
}
/// <summary>EP message to <c>concat</c>.</summary>
/// <param name="ch">Incoming message from <c>ch</c>.</param>
/// <param name="str">Incoming message from <c>str</c>.</param>
/// <returns>The outgoing EP message to the <c>concat</c> argument.</returns>
/// <remarks>
/// <para>The outgoing message is a distribution matching the moments of <c>concat</c> as the random arguments are varied. The formula is <c>proj[p(concat) sum_(ch,str) p(ch,str) factor(concat,ch,str)]/p(concat)</c>.</para>
/// </remarks>
public static StringDistribution ConcatAverageConditional(DiscreteChar ch, StringDistribution str)
{
return(StringConcatOp.ConcatAverageConditional(StringDistribution.Char(ch), str));
}
public void WordModel()
{
// We want to build a word model as a reasonably simple StringDistribution. It
// should satisfy the following:
// (1) The probability of a word of moderate length should not be
// significantly less than the probability of a shorter word.
// (2) The probability of a specific word conditioned on its length matches that of
// words in the target language.
// We achieve this by putting non-normalized character distributions on the edges. The
// StringDistribution is unaware that these are non-normalized.
// The StringDistribution itself is non-normalizable.
const double TargetProb1 = 0.05;
const double Ratio1 = 0.4;
const double TargetProb2 = TargetProb1 * Ratio1;
const double Ratio2 = 0.2;
const double TargetProb3 = TargetProb2 * Ratio2;
const double TargetProb4 = TargetProb3 * Ratio2;
const double TargetProb5 = TargetProb4 * Ratio2;
const double Ratio3 = 0.999;
const double TargetProb6 = TargetProb5 * Ratio3;
const double TargetProb7 = TargetProb6 * Ratio3;
const double TargetProb8 = TargetProb7 * Ratio3;
const double Ratio4 = 0.9;
const double TargetProb9 = TargetProb8 * Ratio4;
const double TargetProb10 = TargetProb9 * Ratio4;
var targetProbabilitiesPerLength = new double[]
{
TargetProb1, TargetProb2, TargetProb3, TargetProb4, TargetProb5, TargetProb6, TargetProb7, TargetProb8, TargetProb9, TargetProb10
};
var charDistUpper = DiscreteChar.Upper();
var charDistLower = DiscreteChar.Lower();
var charDistUpperNarrow = DiscreteChar.OneOf('A', 'B');
var charDistLowerNarrow = DiscreteChar.OneOf('a', 'b');
var charDistUpperScaled = DiscreteChar.Uniform();
var charDistLowerScaled1 = DiscreteChar.Uniform();
var charDistLowerScaled2 = DiscreteChar.Uniform();
var charDistLowerScaled3 = DiscreteChar.Uniform();
var charDistLowerScaledEnd = DiscreteChar.Uniform();
charDistUpperScaled.SetToPartialUniformOf(charDistUpper, Math.Log(TargetProb1));
charDistLowerScaled1.SetToPartialUniformOf(charDistLower, Math.Log(Ratio1));
charDistLowerScaled2.SetToPartialUniformOf(charDistLower, Math.Log(Ratio2));
charDistLowerScaled3.SetToPartialUniformOf(charDistLower, Math.Log(Ratio3));
charDistLowerScaledEnd.SetToPartialUniformOf(charDistLower, Math.Log(Ratio4));
var wordModel = StringDistribution.Concatenate(
new List <DiscreteChar>
{
charDistUpperScaled,
charDistLowerScaled1,
charDistLowerScaled2,
charDistLowerScaled2,
charDistLowerScaled2,
charDistLowerScaled3,
charDistLowerScaled3,
charDistLowerScaled3,
charDistLowerScaledEnd
},
true,
true);
const string Word = "Abcdefghij";
const double Eps = 1e-5;
var broadDist = StringDistribution.Char(charDistUpper);
var narrowDist = StringDistribution.Char(charDistUpperNarrow);
var narrowWord = "A";
var expectedProbForNarrow = 0.5;
for (var i = 0; i < targetProbabilitiesPerLength.Length; i++)
{
var currentWord = Word.Substring(0, i + 1);
var probCurrentWord = Math.Exp(wordModel.GetLogProb(currentWord));
Assert.Equal(targetProbabilitiesPerLength[i], probCurrentWord, Eps);
var logAvg = Math.Exp(wordModel.GetLogAverageOf(broadDist));
Assert.Equal(targetProbabilitiesPerLength[i], logAvg, Eps);
var prod = StringDistribution.Zero();
prod.SetToProduct(broadDist, wordModel);
Xunit.Assert.True(prod.GetWorkspaceOrPoint().HasElementLogValueOverrides);
probCurrentWord = Math.Exp(prod.GetLogProb(currentWord));
Assert.Equal(targetProbabilitiesPerLength[i], probCurrentWord, Eps);
prod.SetToProduct(narrowDist, wordModel);
Xunit.Assert.False(prod.GetWorkspaceOrPoint().HasElementLogValueOverrides);
var probNarrowWord = Math.Exp(prod.GetLogProb(narrowWord));
Assert.Equal(expectedProbForNarrow, probNarrowWord, Eps);
broadDist = broadDist.Append(charDistLower);
narrowDist = narrowDist.Append(charDistLowerNarrow);
narrowWord += "a";
expectedProbForNarrow *= 0.5;
}
// Copied model
var copiedModel = StringDistribution.FromWorkspace(StringTransducer.Copy().ProjectSource(wordModel.GetWorkspaceOrPoint()));
// Under transducer.
for (var i = 0; i < targetProbabilitiesPerLength.Length; i++)
{
var currentWord = Word.Substring(0, i + 1);
var probCurrentWord = Math.Exp(copiedModel.GetLogProb(currentWord));
Assert.Equal(targetProbabilitiesPerLength[i], probCurrentWord, Eps);
}
// Rescaled model
var scale = 0.5;
var newTargetProb1 = TargetProb1 * scale;
var charDistUpperScaled1 = DiscreteChar.Uniform();
charDistUpperScaled1.SetToPartialUniformOf(charDistUpper, Math.Log(newTargetProb1));
var reWeightingTransducer =
StringTransducer.Replace(StringDistribution.Char(charDistUpper).GetWorkspaceOrPoint(), StringDistribution.Char(charDistUpperScaled1).GetWorkspaceOrPoint())
.Append(StringTransducer.Copy());
var reWeightedWordModel = StringDistribution.FromWorkspace(reWeightingTransducer.ProjectSource(wordModel.GetWorkspaceOrPoint()));
for (var i = 0; i < targetProbabilitiesPerLength.Length; i++)
{
var currentWord = Word.Substring(0, i + 1);
var probCurrentWord = Math.Exp(reWeightedWordModel.GetLogProb(currentWord));
Assert.Equal(scale * targetProbabilitiesPerLength[i], probCurrentWord, Eps);
}
}
