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diff --git a/‎paddle/phi/api/yaml/ops.yaml
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+8Lines changed: 8 additions & 0 deletions b/‎paddle/phi/api/yaml/ops.yaml
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diff --git a/‎paddle/phi/infermeta/binary.cc
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+28Lines changed: 28 additions & 0 deletions b/‎paddle/phi/infermeta/binary.cc
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diff --git a/‎paddle/phi/infermeta/binary.h
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+5Lines changed: 5 additions & 0 deletions b/‎paddle/phi/infermeta/binary.h
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diff --git a/‎paddle/phi/kernels/binomial_kernel.h
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+37Lines changed: 37 additions & 0 deletions b/‎paddle/phi/kernels/binomial_kernel.h
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diff --git a/‎paddle/phi/kernels/cpu/binomial_kernel.cc
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+43Lines changed: 43 additions & 0 deletions b/‎paddle/phi/kernels/cpu/binomial_kernel.cc
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diff --git a/‎paddle/phi/kernels/funcs/binomial_functor.h
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+134Lines changed: 134 additions & 0 deletions b/‎paddle/phi/kernels/funcs/binomial_functor.h
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+134Lines changed: 134 additions & 0 deletions
@@ -323,6 +323,14 @@
     func: bincount
   optional: weights
 
+- op : binomial
+  args : (Tensor count, Tensor prob)
+  output : Tensor(out)
+  infer_meta :
+    func : BinomialInferMeta
+  kernel :
+    func : binomial
+
 - op : bitwise_and
   args : (Tensor x, Tensor y)
   output : Tensor(out)
 
@@ -277,6 +277,34 @@ void BincountInferMeta(const MetaTensor& x,
   out->share_lod(x);
 }
 
+void BinomialInferMeta(const MetaTensor& count,
+                       const MetaTensor& prob,
+                       MetaTensor* out,
+                       MetaConfig config) {
+  auto count_dims = count.dims();
+  auto prob_dims = prob.dims();
+
+  bool check = true;
+  if ((!config.is_runtime) &&
+      (phi::product(count_dims) <= 0 || phi::product(prob_dims) <= 0)) {
+    check = false;
+  }
+
+  if (check) {
+    PADDLE_ENFORCE_EQ(count_dims,
+                      prob_dims,
+                      phi::errors::InvalidArgument(
+                          "Input(count) and Input(prob) shall have the same "
+                          "shape. But received: the shape of Input(count) is "
+                          "[%s], the shape of Input(prob) is [%s].",
+                          count_dims,
+                          prob_dims));
+  }
+
+  out->set_dims(count_dims);
+  out->set_dtype(DataType::INT64);
+}
+
 void BmmInferMeta(const MetaTensor& x, const MetaTensor& y, MetaTensor* out) {
   std::vector<int64_t> x_dims = common::vectorize(x.dims());
   std::vector<int64_t> y_dims = common::vectorize(y.dims());
 
@@ -66,6 +66,11 @@ void BincountInferMeta(const MetaTensor& x,
                        const Scalar& minlength,
                        MetaTensor* out);
 
+void BinomialInferMeta(const MetaTensor& count,
+                       const MetaTensor& prob,
+                       MetaTensor* out,
+                       MetaConfig config = MetaConfig());
+
 void BmmInferMeta(const MetaTensor& x, const MetaTensor& y, MetaTensor* out);
 
 void CholeskySolveInferMeta(const MetaTensor& x,
 
@@ -0,0 +1,37 @@
+// Copyright (c) 2023 PaddlePaddle Authors. All Rights Reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     https://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#pragma once
+
+#include "paddle/phi/core/dense_tensor.h"
+#include "paddle/phi/core/device_context.h"
+
+namespace phi {
+
+/**
+ * @brief This kernel generate random value that follow binomial distribution.
+ * @param  ctx          device context
+ * @param  count  A Tensor with each element inidicating the number of
+ * bernoulli experiments
+ * @param  prob         A Tensor with each element inidicating probability of
+ * success for one bernoulli experiment
+ * @param  out          A Tensor filled with returned random value
+ */
+template <typename T, typename Context>
+void BinomialiKernel(const Context& ctx,
+                     const DenseTensor& count,
+                     const DenseTensor& prob,
+                     DenseTensor* out);
+
+}  // namespace phi
@@ -0,0 +1,43 @@
+// Copyright (c) 2023 PaddlePaddle Authors. All Rights Reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     https://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "paddle/phi/kernels/binomial_kernel.h"
+
+#include "paddle/phi/backends/cpu/cpu_context.h"
+#include "paddle/phi/core/kernel_registry.h"
+#include "paddle/phi/kernels/funcs/binomial_functor.h"
+
+namespace phi {
+
+template <typename T, typename Context>
+void BinomialKernel(const Context& ctx,
+                    const DenseTensor& count,
+                    const DenseTensor& prob,
+                    DenseTensor* out) {
+  auto numel = count.numel();
+  auto* count_data = count.data<T>();
+  auto* prob_data = prob.data<T>();
+  int64_t* out_data = ctx.template Alloc<int64_t>(out);
+
+  for (int64_t i = 0; i < numel; ++i) {
+    out_data[i] = funcs::BinomialFunctor<T>(ctx, count_data[i], prob_data[i]);
+  }
+}
+
+}  // namespace phi
+
+PD_REGISTER_KERNEL(
+    binomial, CPU, ALL_LAYOUT, phi::BinomialKernel, float, double) {
+  kernel->OutputAt(0).SetDataType(phi::DataType::INT64);
+}
@@ -0,0 +1,134 @@
+/* Copyright (c) 2023 PaddlePaddle Authors. All Rights Reserved.
+
+ Licensed under the Apache License, Version 2.0 (the "License");
+ you may not use this file except in compliance with the License.
+ You may obtain a copy of the License at
+
+     https://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License. */
+
+#pragma once
+
+#include "paddle/phi/core/device_context.h"
+#include "paddle/phi/core/enforce.h"
+
+namespace phi {
+namespace funcs {
+
+template <typename T>
+inline T stirling_approx_tail(int64_t k) {
+  const T kTailValues[] = {0.0810614667953272,
+                           0.0413406959554092,
+                           0.0276779256849983,
+                           0.02079067210376509,
+                           0.0166446911898211,
+                           0.0138761288230707,
+                           0.0118967099458917,
+                           0.0104112652619720,
+                           0.00925546218271273,
+                           0.00833056343336287};
+  if (k <= 9) {
+    return static_cast<T>(kTailValues[static_cast<size_t>(k)]);
+  }
+  T kp1sq = (k + 1) * (k + 1);
+  return (1.0 / 12 - (1.0 / 360 - 1.0 / 1260 / kp1sq) / kp1sq) / (k + 1);
+}
+
+template <typename T, typename Context>
+inline int64_t btrs(const Context& ctx, const T n, const T p) {
+  int64_t k;
+  T U, V, us;
+  std::uniform_real_distribution<T> dist(0.0, 1.0);
+  auto gen_ptr = ctx.GetGenerator();
+  auto engine = gen_ptr->GetCPUEngine();
+
+  const T stddev = std::sqrt(n * p * (1 - p));
+
+  const T b = 1.15 + 2.53 * stddev;
+  const T a = -0.0873 + 0.0248 * b + 0.01 * p;
+  const T c = n * p + 0.5;
+  const T v_r = 0.92 - 4.2 / b;
+  const T r = p / (1 - p);
+
+  const T alpha = (2.83 + 5.1 / b) * stddev;
+  const T m = std::floor((n + 1) * p);
+
+  while (1) {
+    U = dist(*engine) - 0.5;
+    V = dist(*engine);
+
+    us = 0.5 - std::abs(U);
+    k = static_cast<int64_t>(std::floor((2 * a / us + b) * U + c));
+
+    if (k < 0 || k > n) {
+      continue;
+    }
+    if (us >= 0.07 && V <= v_r) {
+      return k;
+    }
+
+    V = std::log(V * alpha / (a / (us * us) + b));
+    T upperbound =
+        ((m + 0.5) * std::log((m + 1) / (r * (n - m + 1))) +
+         (n + 1) * std::log((n - m + 1) / (n - k + 1)) +
+         (k + 0.5) * std::log(r * (n - k + 1) / (k + 1)) +
+         stirling_approx_tail<T>(m) + stirling_approx_tail<T>(n - m) -
+         stirling_approx_tail<T>(k) - stirling_approx_tail<T>(n - k));
+
+    if (V <= upperbound) {
+      return k;
+    }
+  }
+}
+
+template <typename T, typename Context>
+inline int64_t binomial_inversion(const Context& ctx, const T n, const T p) {
+  T unif;
+  T geom_sum = 0.0;
+  int64_t num_geom = 0;
+  T logprob = std::log1p(-p);
+  std::uniform_real_distribution<T> dist(0.0, 1.0);
+  auto gen_ptr = ctx.GetGenerator();
+  auto engine = gen_ptr->GetCPUEngine();
+
+  while (1) {
+    unif = dist(*engine);
+    T geom = std::ceil(std::log(unif) / logprob);
+    geom_sum += geom;
+    if (geom_sum > n) {
+      break;
+    }
+    num_geom = num_geom + 1;
+  }
+  return num_geom;
+}
+
+template <typename T, typename Context>
+inline int64_t BinomialFunctor(const Context& ctx, const T n, const T p) {
+  if (n <= 0.0 || p <= 0.0) {
+    return 0;
+  } else if (p >= 1.0) {
+    return static_cast<int64_t>(n);
+  } else if (p <= 0.5) {
+    if (n * p >= 10.0) {
+      return btrs<T>(ctx, n, p);
+    } else {
+      return binomial_inversion<T>(ctx, n, p);
+    }
+  } else {
+    T qprob = 1.0 - p;
+    if (n * qprob >= 10.0) {
+      return static_cast<int64_t>(n) - btrs<T>(ctx, n, qprob);
+    } else {
+      return static_cast<int64_t>(n) - binomial_inversion<T>(ctx, n, qprob);
+    }
+  }
+}
+
+}  // namespace funcs
+}  // namespace phi