diff --git a/mshadow/extension.h b/mshadow/extension.h
index 7f821068834d..01e11f1ba9c0 100644
--- a/mshadow/extension.h
+++ b/mshadow/extension.h
@@ -28,5 +28,7 @@
 #include "./extension/slice.h"
 #include "./extension/take.h"
 #include "./extension/take_grad.h"
+#include "./extension/reduce_with_axis.h"
+#include "./extension/broadcast_with_axis.h"
 #include "./extension/spatial_upsampling_nearest.h"
 #endif  // MSHADOW_EXTENSION_H_
diff --git a/mshadow/extension/broadcast_with_axis.h b/mshadow/extension/broadcast_with_axis.h
new file mode 100644
index 000000000000..c10b907d2efe
--- /dev/null
+++ b/mshadow/extension/broadcast_with_axis.h
@@ -0,0 +1,89 @@
+/*!
+ * Copyright (c) 2015 by Contributors
+ * \file tensor_dot.h
+ * \brief
+ * \author Junyuan Xie
+*/
+#ifndef MSHADOW_EXTENSION_BROADCAST_WITH_AXIS_H_
+#define MSHADOW_EXTENSION_BROADCAST_WITH_AXIS_H_
+
+#include "../extension.h"
+
+namespace mshadow {
+namespace expr {
+
+/*! \brief Backward for tensor dot
+ *  \tparam DataExp type of left expression
+ *  \tparam TopExp type of right expression
+ *  \tparam DType data type
+ */
+template<int axis, typename SrcExp, typename DType, int srcdim>
+struct BroadcastWithAxisExp:
+    public MakeTensorExp<BroadcastWithAxisExp<axis, SrcExp, DType, srcdim>,
+                         SrcExp, srcdim+1, DType> {
+  /*! \brief data oprand */
+  const SrcExp &src_;
+  /*! \brief size of middle dimension */
+  index_t leading_;
+  /*! \brief size of middle dimension */
+  index_t trailing_;
+  /*! \brief size of middle dimension */
+  index_t size_;
+  /*! \brief size of middle dimension */
+  index_t last_;
+  /*! constructor */
+  BroadcastWithAxisExp(const SrcExp &src, const index_t size)
+    : src_(src), size_(size) {
+    CHECK(srcdim > axis) << "broadcast axis out of bound";
+    Shape<srcdim> src_shape = ShapeCheck<srcdim, SrcExp>::Check(src_);
+    this->leading_ = 1;
+    for (index_t i = 0; i <= axis; ++i) {
+      this->leading_ *= src_shape[i];
+      this->shape_[i] = src_shape[i];
+    }
+    this->shape_[axis+1] = size_;
+    this->trailing_ = 1;
+    for (index_t i = axis+1; i < srcdim; ++i) {
+      this->trailing_ *= src_shape[i];
+      this->shape_[i+1] = src_shape[i];
+    }
+    this->last_ = src_shape[srcdim-1];
+  }
+};  // struct BroadcastWithAxisExp
+
+/*!
+ * \brief pooling subregion results together
+ * \param data data oprand
+ * \param top top grad oprand
+ * \tparam DataExp left expression
+ * \tparam TopExp right expression
+ * \tparam DType the content data type
+ */
+template<int axis, typename SrcExp, typename DType, int etype>
+inline BroadcastWithAxisExp<axis, SrcExp, DType, ExpInfo<SrcExp>::kDim>
+broadcast_with_axis(const Exp<SrcExp, DType, etype> &src, const index_t size) {
+  return BroadcastWithAxisExp<axis, SrcExp, DType, ExpInfo<SrcExp>::kDim>(src.self(), size);
+}
+//----------------------
+// Execution plan
+//----------------------
+template<int axis, typename SrcExp, typename DType, int srcdim>
+struct Plan<BroadcastWithAxisExp<axis, SrcExp, DType, srcdim>, DType> {
+ public:
+  explicit Plan(const BroadcastWithAxisExp<axis, SrcExp, DType, srcdim> &e)
+      : src_(MakePlan(e.src_)), leading_(e.leading_),
+        trailing_(e.trailing_), size_(e.size_), last_(e.last_) {}
+  MSHADOW_XINLINE DType Eval(index_t i, index_t j) const {
+    index_t x = (i*last_+j)/trailing_/size_;
+    index_t y = (i*last_+j)%trailing_;
+    index_t z = x*trailing_ + y;
+    return src_.Eval(z/last_, z%last_);
+  }
+
+ private:
+  Plan<SrcExp, DType> src_;
+  const index_t leading_, trailing_, size_, last_;
+};
+}  // namespace expr
+}  // namespace mshadow
+#endif  // MSHADOW_EXTENSION_BROADCAST_WITH_AXIS_H_
diff --git a/mshadow/extension/reduce_with_axis.h b/mshadow/extension/reduce_with_axis.h
new file mode 100644
index 000000000000..b1c090ea7fa0
--- /dev/null
+++ b/mshadow/extension/reduce_with_axis.h
@@ -0,0 +1,94 @@
+/*!
+ * Copyright (c) 2015 by Contributors
+ * \file reduce_with_axis.h
+ * \brief
+ * \author Junyuan Xie
+*/
+#ifndef MSHADOW_EXTENSION_REDUCE_WITH_AXIS_H_
+#define MSHADOW_EXTENSION_REDUCE_WITH_AXIS_H_
+
+#include "../extension.h"
+
+namespace mshadow {
+namespace expr {
+
+/*! \brief reduce out the dimension of src labeled by axis.
+ *  \tparam Reducer type of reducer
+ *  \tparam SrcExp type of source expression
+ *  \tparam DType data type
+ */
+template<typename Reducer, int axis, typename SrcExp, typename DType, int srcdim>
+struct ReduceWithAxisExp:
+    public MakeTensorExp<ReduceWithAxisExp<Reducer, axis, SrcExp, DType, srcdim>,
+                         SrcExp, srcdim-1, DType> {
+  /*! \brief source oprand */
+  const SrcExp &src_;
+  /*! \brief size of leading dimensions */
+  index_t leading_;
+  /*! \brief size of trailing dimensions */
+  index_t trailing_;
+  /*! \brief size of axis dimension */
+  index_t size_;
+  /*! \brief size of last src dimension */
+  index_t last_;
+  /*! constructor */
+  explicit ReduceWithAxisExp(const SrcExp &src)
+    : src_(src) {
+    CHECK(srcdim > axis) << "reduce axis out of bound";
+    Shape<srcdim> src_shape = ShapeCheck<srcdim, SrcExp>::Check(src_);
+    this->leading_ = 1;
+    for (index_t i = 0; i < axis; ++i) {
+      this->leading_ *= src_shape[i];
+      this->shape_[i] = src_shape[i];
+    }
+    this->size_ = src_shape[axis];
+    this->trailing_ = 1;
+    for (index_t i = axis + 1; i < srcdim; ++i) {
+      this->trailing_ *= src_shape[i];
+      this->shape_[i-1] = src_shape[i];
+    }
+    this->last_ = src_shape[srcdim-1];
+  }
+};  // struct ReduceWithAxisExp
+
+/*!
+ * \brief pooling subregion results together
+ * \param lhs left oprand
+ * \param rhs right oprand
+ * \tparam LhsExp left expression
+ * \tparam RhsExp right expression
+ * \tparam DType the content data type
+ */
+template<typename Reducer, int axis, typename SrcExp, typename DType, int etype>
+inline ReduceWithAxisExp<Reducer, axis, SrcExp, DType, ExpInfo<SrcExp>::kDim>
+reduce_with_axis(const Exp<SrcExp, DType, etype> &src) {
+  return ReduceWithAxisExp<Reducer, axis, SrcExp, DType, ExpInfo<SrcExp>::kDim>(src.self());
+}
+//----------------------
+// Execution plan
+//----------------------
+template<typename Reducer, int axis, typename SrcExp, typename DType, int srcdim>
+struct Plan<ReduceWithAxisExp<Reducer, axis, SrcExp, DType, srcdim>, DType> {
+ public:
+  explicit Plan(const ReduceWithAxisExp<Reducer, axis, SrcExp, DType, srcdim> &e)
+      : src_(MakePlan(e.src_)), leading_(e.leading_), trailing_(e.trailing_),
+        size_(e.size_), last_(e.last_) {}
+  MSHADOW_XINLINE DType Eval(index_t i, index_t j) const {
+    index_t x = (i*last_ + j)/trailing_;
+    index_t y = (i*last_ + j)%trailing_;
+
+    DType res; Reducer::SetInitValue(res);
+    for (index_t k = 0; k < size_; ++k) {
+      index_t z = (x*size_+k)*trailing_+y;
+      Reducer::Reduce(res, src_.Eval(z/last_, z%last_));
+    }
+    return res;
+  }
+
+ private:
+  Plan<SrcExp, DType> src_;
+  const index_t leading_, trailing_, size_, last_;
+};
+}  // namespace expr
+}  // namespace mshadow
+#endif  // MSHADOW_EXTENSION_REDUCE_WITH_AXIS_H_