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Add SimpleCostFunction #2117

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Nov 19, 2024
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10 changes: 10 additions & 0 deletions ql/math/optimization/costfunction.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -96,6 +96,16 @@ namespace QuantLib {
virtual Real finiteDifferenceEpsilon() const { return 1e-8; }
};

template <class ValuesFn>
class SimpleCostFunction : public CostFunction {
public:
explicit SimpleCostFunction(ValuesFn values) : values_(std::move(values)) {}

Array values(const Array& x) const override { return values_(x); }
private:
ValuesFn values_;
};

class ParametersTransformation {
public:
virtual ~ParametersTransformation() = default;
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73 changes: 23 additions & 50 deletions ql/termstructures/globalbootstrap.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -252,66 +252,39 @@ template <class Curve> void GlobalBootstrap<Curve>::calculate() const {
}

// setup cost function
class TargetFunction : public CostFunction {
public:
// NOTE: TargetFunction retains passed pointers, so they must point to objects
// that outlive the call to optimizer->minimize(). We use pointers instead of
// const refs to avoid accidental binding to temporaries.
TargetFunction(Size firstHelper,
Size numberHelpers,
const std::function<Array()>* additionalErrors,
Curve* ts,
const std::vector<Real>* lowerBounds,
const std::vector<Real>* upperBounds)
: firstHelper_(firstHelper), numberHelpers_(numberHelpers),
additionalErrors_(*additionalErrors), ts_(ts),
lowerBounds_(*lowerBounds), upperBounds_(*upperBounds) {
QL_REQUIRE(additionalErrors != nullptr, "null additionalErrors");
QL_REQUIRE(lowerBounds != nullptr && upperBounds != nullptr, "null bounds");
}
auto transformDirect = [&](const Real x, const Size i) {
return (std::atan(x) + M_PI_2) / M_PI * (upperBounds[i] - lowerBounds[i]) + lowerBounds[i];
};

Real transformDirect(const Real x, const Size i) const {
return (std::atan(x) + M_PI_2) / M_PI * (upperBounds_[i] - lowerBounds_[i]) + lowerBounds_[i];
}
auto transformInverse = [&](const Real y, const Size i) {
return std::tan((y - lowerBounds[i]) * M_PI / (upperBounds[i] - lowerBounds[i]) - M_PI_2);
};

Real transformInverse(const Real y, const Size i) const {
return std::tan((y - lowerBounds_[i]) * M_PI / (upperBounds_[i] - lowerBounds_[i]) - M_PI_2);
SimpleCostFunction cost([&](const Array& x) {
for (Size i = 0; i < x.size(); ++i) {
Traits::updateGuess(ts_->data_, transformDirect(x[i], i), i + 1);
}

Array values(const Array& x) const override {
for (Size i = 0; i < x.size(); ++i) {
Traits::updateGuess(ts_->data_, transformDirect(x[i], i), i + 1);
}
ts_->interpolation_.update();
std::vector<Real> result(numberHelpers_);
for (Size i = 0; i < numberHelpers_; ++i) {
result[i] = ts_->instruments_[firstHelper_ + i]->quote()->value() -
ts_->instruments_[firstHelper_ + i]->impliedQuote();
}
if (additionalErrors_) {
Array tmp = additionalErrors_();
result.resize(numberHelpers_ + tmp.size());
for (Size i = 0; i < tmp.size(); ++i) {
result[numberHelpers_ + i] = tmp[i];
}
ts_->interpolation_.update();
std::vector<Real> result(numberHelpers_);
for (Size i = 0; i < numberHelpers_; ++i) {
result[i] = ts_->instruments_[firstHelper_ + i]->quote()->value() -
ts_->instruments_[firstHelper_ + i]->impliedQuote();
}
if (additionalErrors_) {
Array tmp = additionalErrors_();
result.resize(numberHelpers_ + tmp.size());
for (Size i = 0; i < tmp.size(); ++i) {
result[numberHelpers_ + i] = tmp[i];
}
return Array(result.begin(), result.end());
}

private:
Size firstHelper_, numberHelpers_;
const std::function<Array()>& additionalErrors_;
Curve* ts_;
const std::vector<Real> &lowerBounds_, &upperBounds_;
};
TargetFunction cost(firstHelper_, numberHelpers_, &additionalErrors_, ts_,
&lowerBounds, &upperBounds);
return Array(result.begin(), result.end());
});

// setup guess
Array guess(numberBounds);
for (Size i = 0; i < numberBounds; ++i) {
// just pass zero as the first alive helper, it's not used in the standard QL traits anyway
guess[i] = cost.transformInverse(Traits::guess(i + 1, ts_, validCurve_, 0), i);
guess[i] = transformInverse(Traits::guess(i + 1, ts_, validCurve_, 0), i);
}

// setup problem
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