diff --git a/modules/core/include/WeightedSum.h b/modules/core/include/WeightedSum.h
new file mode 100644
index 0000000000..2aba2c679b
--- /dev/null
+++ b/modules/core/include/WeightedSum.h
@@ -0,0 +1,84 @@
+/**
+ *  \file IMP/core/WeightedSum.h    \brief Weighted sum of unary functions.
+ *
+ *  Copyright 2007-2016 IMP Inventors. All rights reserved.
+ */
+
+#ifndef IMPCORE_WEIGHTED_SUM_H
+#define IMPCORE_WEIGHTED_SUM_H
+
+#include <IMP/core/core_config.h>
+#include <IMP/UnaryFunction.h>
+
+IMPCORE_BEGIN_NAMESPACE
+
+//! Weighted sum of unary functions.
+/** A unary function that computes the weighted sum of multiple functions.
+ */
+class WeightedSum : public UnaryFunction {
+ public:
+  /** Create with the functions and their respective weights */
+  WeightedSum(UnaryFunctions funcs, Floats weights) : funcs_(funcs), weights_(weights) {
+    IMP_USAGE_CHECK(weights.size() == funcs.size(),
+                    "Number of functions and weights must match.");
+    IMP_USAGE_CHECK(funcs.size() > 1,
+                    "More than one function and weight must be provided.");
+  }
+
+  virtual DerivativePair evaluate_with_derivative(double feature) const {
+    double eval = 0;
+    double derv = 0;
+    DerivativePair fout;
+    for (unsigned int i = 0; i < funcs_.size(); ++i) {
+        fout = funcs_[i]->evaluate_with_derivative(feature);
+        eval += weights_[i] * fout.first;
+        derv += weights_[i] * fout.second;
+    }
+    return DerivativePair(eval, derv);
+  }
+
+  virtual double evaluate(double feature) const {
+    double ret = 0;
+    for (unsigned int i = 0; i < funcs_.size(); ++i) {
+        ret += weights_[i] * funcs_[i]->evaluate(feature);
+    }
+    return ret;
+  }
+
+  //! Get the number of functions
+  unsigned int get_function_number() {
+    return funcs_.size();
+  }
+
+  //! Set the function weights
+  void set_weights(Floats weights) {
+    IMP_USAGE_CHECK(weights.size() == get_function_number(),
+                    "Number of weights and functions must match.");
+    weights_ = weights;
+  }
+
+  //! Get the function weights
+  Floats get_weights() { return weights_; }
+
+  //! Get function weight at index
+  double get_weight(unsigned int i) const {
+    IMP_USAGE_CHECK(i < weights_.size(), "Invalid weight index");
+    return weights_[i];
+  }
+
+  //! Get function at index
+  UnaryFunction* get_function(unsigned int i) {
+    IMP_USAGE_CHECK(i < get_function_number(), "Invalid function index");
+    return funcs_[i];
+  }
+
+  IMP_OBJECT_METHODS(WeightedSum);
+
+ private:
+  UnaryFunctions funcs_;
+  Floats weights_;
+};
+
+IMPCORE_END_NAMESPACE
+
+#endif /* IMPCORE_WEIGHTED_SUM_H */
diff --git a/modules/core/pyext/swig.i-in b/modules/core/pyext/swig.i-in
index a7f6a4884f..41b99776db 100644
--- a/modules/core/pyext/swig.i-in
+++ b/modules/core/pyext/swig.i-in
@@ -43,6 +43,7 @@ IMP_SWIG_OBJECT( IMP::core, HarmonicUpperBound, HarmonicUpperBounds);
 IMP_SWIG_OBJECT( IMP::core, HarmonicSphereDistancePairScore, HarmonicSphereDistancePairScores);
 IMP_SWIG_OBJECT( IMP::core, HarmonicUpperBoundSphereDistancePairScore, HarmonicUpperBoundSphereDistancePairScores);
 IMP_SWIG_OBJECT( IMP::core, HarmonicUpperBoundSphereDiameterPairScore, HarmonicUpperBoundSphereDiameterPairScores);
+IMP_SWIG_OBJECT( IMP::core, WeightedSum, WeightedSums);
 IMP_SWIG_OBJECT( IMP::core, IncrementalScoringFunction, IncrementalScoringFunctions);
 IMP_SWIG_OBJECT( IMP::core, KClosePairsPairScore, KClosePairsPairScores);
 IMP_SWIG_OBJECT( IMP::core, LeavesRefiner, LeavesRefiners);
@@ -210,6 +211,7 @@ IMP_SWIG_OBJECT(IMP::core, MultipleBinormalRestraint, MultipleBinormalRestraints
 %include "IMP/core/HarmonicWell.h"
 %include "IMP/core/HarmonicLowerBound.h"
 %include "IMP/core/HarmonicUpperBound.h"
+%include "IMP/core/WeightedSum.h"
 %include "IMP/core/PeriodicOptimizerState.h"
 %include "IMP/core/MSConnectivityRestraint.h"
 %inline %{
diff --git a/modules/core/test/test_weighted_sum.py b/modules/core/test/test_weighted_sum.py
new file mode 100644
index 0000000000..6d8e938814
--- /dev/null
+++ b/modules/core/test/test_weighted_sum.py
@@ -0,0 +1,50 @@
+import IMP
+import IMP.test
+import IMP.core
+
+
+class Tests(IMP.test.TestCase):
+
+    def test_values(self):
+        f1 = IMP.core.Harmonic(0., 1.)
+        f2 = IMP.core.Harmonic(2., 3.)
+        sf = IMP.core.WeightedSum([f1, f2], [.3, .7])
+        for i in range(-10, 10):
+            i = float(i)
+            self.assertAlmostEqual(
+                sf.evaluate(i), .3 * f1.evaluate(i) + .7 * f2.evaluate(i))
+            score, deriv = sf.evaluate_with_derivative(i)
+            score_sum = 0
+            deriv_sum = 0
+            for w, f in zip([.3, .7], [f1, f2]):
+                s, d = f.evaluate_with_derivative(i)
+                score_sum += w * s
+                deriv_sum += w * d
+            self.assertAlmostEqual(score, score_sum, delta=1e-4)
+            self.assertAlmostEqual(deriv, deriv_sum, delta=1e-4)
+
+    def test_accessors(self):
+        f1 = IMP.core.Harmonic(0., 1.)
+        f2 = IMP.core.Harmonic(2., 3.)
+        sf = IMP.core.WeightedSum([f1, f2], [.3, .7])
+        self.assertAlmostEqual(sf.get_weight(0), .3)
+        self.assertAlmostEqual(sf.get_weight(1), .7)
+        self.assertAlmostEqual(sf.get_weights()[0], .3)
+        sf.set_weights([.4, .6])
+        self.assertAlmostEqual(sf.get_weight(0), .4)
+        self.assertAlmostEqual(sf.get_weight(1), .6)
+
+    def test_errors(self):
+        f1 = IMP.core.Harmonic(0., 1.)
+        f2 = IMP.core.Harmonic(2., 3.)
+        self.assertRaisesUsageException(IMP.core.WeightedSum,
+                                        [f1], [1.])
+        self.assertRaisesUsageException(IMP.core.WeightedSum,
+                                        [f1, f2], [1.])
+        sf = IMP.core.WeightedSum([f1, f2], [.3, .7])
+        self.assertRaisesUsageException(sf.set_weights,
+                                        [1.])
+
+
+if __name__ == '__main__':
+    IMP.test.main()