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Changed calculation of log_sum_exp(x1, x2) #1772

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Mar 19, 2020
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1 change: 0 additions & 1 deletion stan/math/rev/fun.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -22,7 +22,6 @@
#include <stan/math/rev/fun/bessel_second_kind.hpp>
#include <stan/math/rev/fun/beta.hpp>
#include <stan/math/rev/fun/binary_log_loss.hpp>
#include <stan/math/rev/fun/calculate_chain.hpp>
#include <stan/math/rev/fun/cbrt.hpp>
#include <stan/math/rev/fun/ceil.hpp>
#include <stan/math/rev/fun/cholesky_decompose.hpp>
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16 changes: 0 additions & 16 deletions stan/math/rev/fun/calculate_chain.hpp

This file was deleted.

4 changes: 2 additions & 2 deletions stan/math/rev/fun/log1p_exp.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -3,7 +3,7 @@

#include <stan/math/rev/meta.hpp>
#include <stan/math/rev/core.hpp>
#include <stan/math/rev/fun/calculate_chain.hpp>
#include <stan/math/prim/fun/inv_logit.hpp>
#include <stan/math/prim/fun/log1p_exp.hpp>

namespace stan {
Expand All @@ -13,7 +13,7 @@ namespace internal {
class log1p_exp_v_vari : public op_v_vari {
public:
explicit log1p_exp_v_vari(vari* avi) : op_v_vari(log1p_exp(avi->val_), avi) {}
void chain() { avi_->adj_ += adj_ * calculate_chain(avi_->val_, val_); }
void chain() { avi_->adj_ += adj_ * inv_logit(avi_->val_); }
};
} // namespace internal

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5 changes: 2 additions & 3 deletions stan/math/rev/fun/log_diff_exp.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -3,7 +3,6 @@

#include <stan/math/rev/meta.hpp>
#include <stan/math/rev/core.hpp>
#include <stan/math/rev/fun/calculate_chain.hpp>
#include <stan/math/prim/fun/constants.hpp>
#include <stan/math/prim/fun/expm1.hpp>
#include <stan/math/prim/fun/log_diff_exp.hpp>
Expand All @@ -17,7 +16,7 @@ class log_diff_exp_vv_vari : public op_vv_vari {
log_diff_exp_vv_vari(vari* avi, vari* bvi)
: op_vv_vari(log_diff_exp(avi->val_, bvi->val_), avi, bvi) {}
void chain() {
avi_->adj_ += adj_ * calculate_chain(avi_->val_, val_);
avi_->adj_ -= adj_ / expm1(bvi_->val_ - avi_->val_);
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There's no way to use inv_logit here? If so, that's fine, just checking.

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I don't see how you could because one has the extra 1 term inside and the other outside.

1 / expm1(x) = 1 / exp(x - 1)
inv_logit(u) = 1 / (1 + exp(-u))

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Oh good point. I was too lazy to actually think through the math at all.

bvi_->adj_ -= adj_ / expm1(avi_->val_ - bvi_->val_);
}
};
Expand All @@ -29,7 +28,7 @@ class log_diff_exp_vd_vari : public op_vd_vari {
if (val_ == NEGATIVE_INFTY) {
avi_->adj_ += (bd_ == NEGATIVE_INFTY) ? adj_ : adj_ * INFTY;
} else {
avi_->adj_ += adj_ * calculate_chain(avi_->val_, val_);
avi_->adj_ -= adj_ / expm1(bd_ - avi_->val_);
}
}
};
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8 changes: 4 additions & 4 deletions stan/math/rev/fun/log_sum_exp.hpp
Original file line number Diff line number Diff line change
Expand Up @@ -3,11 +3,11 @@

#include <stan/math/rev/meta.hpp>
#include <stan/math/rev/core.hpp>
#include <stan/math/rev/fun/calculate_chain.hpp>
#include <stan/math/rev/fun/typedefs.hpp>
#include <stan/math/prim/meta.hpp>
#include <stan/math/prim/fun/constants.hpp>
#include <stan/math/prim/fun/Eigen.hpp>
#include <stan/math/prim/fun/inv_logit.hpp>
#include <stan/math/prim/fun/log_sum_exp.hpp>
#include <cmath>
#include <vector>
Expand All @@ -22,8 +22,8 @@ class log_sum_exp_vv_vari : public op_vv_vari {
log_sum_exp_vv_vari(vari* avi, vari* bvi)
: op_vv_vari(log_sum_exp(avi->val_, bvi->val_), avi, bvi) {}
void chain() {
avi_->adj_ += adj_ * calculate_chain(avi_->val_, val_);
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Would it be possible to get rid of calculate_chain everywhere? It seems like a strange function.

Also used here (which should be fixed as part of this pull):

avi_->adj_ += adj_ * calculate_chain(avi_->val_, val_);

In stan/math/rev/fun/log_diff_exp.hpp and in stan/math/rev/fun/log1p_exp.hpp.

bvi_->adj_ += adj_ * calculate_chain(bvi_->val_, val_);
avi_->adj_ += adj_ * inv_logit(avi_->val_ - bvi_->val_);
bvi_->adj_ += adj_ * inv_logit(bvi_->val_ - avi_->val_);
}
};
class log_sum_exp_vd_vari : public op_vd_vari {
Expand All @@ -34,7 +34,7 @@ class log_sum_exp_vd_vari : public op_vd_vari {
if (val_ == NEGATIVE_INFTY) {
avi_->adj_ += adj_;
} else {
avi_->adj_ += adj_ * calculate_chain(avi_->val_, val_);
avi_->adj_ += adj_ * inv_logit(avi_->val_ - bd_);
}
}
};
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63 changes: 63 additions & 0 deletions test/unit/math/rev/fun/log_sum_exp_test.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,63 @@
#include <stan/math/rev.hpp>
#include <gtest/gtest.h>
#include <test/unit/math/rev/fun/util.hpp>
#include <test/unit/math/rev/util.hpp>

TEST(log_sum_exp_tests, large_values) {
using stan::math::var;

// check autodiffing works with var types with large values
var a = 1e50;
var output = stan::math::log_sum_exp(a, a);
output.grad();
EXPECT_FLOAT_EQ(output.val(), log(2.0) + value_of(a));
EXPECT_FLOAT_EQ(a.adj(), 1.0);

var a2 = 1;
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Once you remove the other calculate_chain thing we'll need some tests where a1 is a var and a2 is a double.

var a3 = 1e50;
var output2 = stan::math::log_sum_exp(a2, a3);
output2.grad();
EXPECT_FLOAT_EQ(a2.adj(), 0.0);
EXPECT_FLOAT_EQ(a3.adj(), 1.0);

var a4 = 1e50;
var a5 = 1;
var output3 = stan::math::log_sum_exp(a4, a5);
output3.grad();
EXPECT_FLOAT_EQ(a4.adj(), 1.0);
EXPECT_FLOAT_EQ(a5.adj(), 0.0);

// check autodiffing works with var types with large values
var b = 1e20;
var output6 = stan::math::log_sum_exp(b, b);
output6.grad();
EXPECT_FLOAT_EQ(output6.val(), log(2.0) + value_of(b));
EXPECT_FLOAT_EQ(b.adj(), 1.0);

var b2 = -2;
var b3 = 1e20;
var output7 = stan::math::log_sum_exp(b2, b3);
output7.grad();
EXPECT_FLOAT_EQ(b2.adj(), 0.0);
EXPECT_FLOAT_EQ(b3.adj(), 1.0);

var b4 = 1e20;
var b5 = -2;
var output8 = stan::math::log_sum_exp(b4, b5);
output8.grad();
EXPECT_FLOAT_EQ(b4.adj(), 1.0);
EXPECT_FLOAT_EQ(b5.adj(), 0.0);

// check arguement combinations of vars and doubles
var a6 = 1e50;
double a7 = 1;
var output4 = stan::math::log_sum_exp(a6, a7);
output4.grad();
EXPECT_FLOAT_EQ(a6.adj(), 1.0);

var a8 = 1;
double a9 = 1e50;
var output5 = stan::math::log_sum_exp(a8, a9);
output5.grad();
EXPECT_FLOAT_EQ(a8.adj(), 0.0);
}