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diff --git a/‎paddle/fluid/pir/dialect/op_generator/decomp_interface_gen_op_list.py
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+1Lines changed: 1 addition & 0 deletions b/‎paddle/fluid/pir/dialect/op_generator/decomp_interface_gen_op_list.py
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diff --git a/‎paddle/fluid/pir/dialect/operator/interface/infer_symbolic_shape/multiary_infer_sym.cc
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+68Lines changed: 68 additions & 0 deletions b/‎paddle/fluid/pir/dialect/operator/interface/infer_symbolic_shape/multiary_infer_sym.cc
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diff --git a/‎paddle/fluid/pir/dialect/operator/interface/infer_symbolic_shape/multiary_infer_sym.h
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+2Lines changed: 2 additions & 0 deletions b/‎paddle/fluid/pir/dialect/operator/interface/infer_symbolic_shape/multiary_infer_sym.h
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diff --git a/‎paddle/fluid/primitive/decomp_rule/decomp_rule/composite.h
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+22Lines changed: 22 additions & 0 deletions b/‎paddle/fluid/primitive/decomp_rule/decomp_rule/composite.h
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diff --git a/‎paddle/phi/infermeta/ternary.cc
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+82Lines changed: 82 additions & 0 deletions b/‎paddle/phi/infermeta/ternary.cc
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diff --git a/‎paddle/phi/infermeta/ternary.h
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+7Lines changed: 7 additions & 0 deletions b/‎paddle/phi/infermeta/ternary.h
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diff --git a/‎paddle/phi/kernels/baddbmm_grad_kernel.h
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+33Lines changed: 33 additions & 0 deletions b/‎paddle/phi/kernels/baddbmm_grad_kernel.h
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diff --git a/‎paddle/phi/kernels/baddbmm_kernel.h
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+30Lines changed: 30 additions & 0 deletions b/‎paddle/phi/kernels/baddbmm_kernel.h
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diff --git a/‎paddle/phi/kernels/cpu/baddbmm_grad_kernel.cc
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+22Lines changed: 22 additions & 0 deletions b/‎paddle/phi/kernels/cpu/baddbmm_grad_kernel.cc
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diff --git a/‎paddle/phi/kernels/cpu/baddbmm_kernel.cc
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+22Lines changed: 22 additions & 0 deletions b/‎paddle/phi/kernels/cpu/baddbmm_kernel.cc
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@@ -32,6 +32,7 @@
     "add_n",
     "addmm",
     "any",
+    "baddbmm",
     "bce_loss",
     "bmm",
     "diag",
 
@@ -229,6 +229,74 @@ bool AucOpInferSymbolicShape(pir::Operation *op,
   return true;
 }
 
+bool BaddbmmOpInferSymbolicShape(
+    pir::Operation *op, pir::InferSymbolicShapeContext *infer_context) {
+  const auto &input_shape =
+      infer_context->GetShapeOrDataForValue(op->operand_source(0));
+  const auto &x_shape =
+      infer_context->GetShapeOrDataForValue(op->operand_source(1));
+  const auto &y_shape =
+      infer_context->GetShapeOrDataForValue(op->operand_source(2));
+
+  auto ndim_input = input_shape.shape().size();
+  auto ndim_x = x_shape.shape().size();
+  auto ndim_y = y_shape.shape().size();
+
+  PADDLE_ENFORCE_EQ(ndim_input == 3 || ndim_input == 2,
+                    true,
+                    common::errors::InvalidArgument(
+                        "The input tensor input's dimension must be 3 or 2. "
+                        "But received input's dimension = [%d].",
+                        ndim_input));
+  PADDLE_ENFORCE_EQ(ndim_x,
+                    3,
+                    common::errors::InvalidArgument(
+                        "The input tensor x's dimension must be 3. "
+                        "But received x's dimension = [%d].",
+                        ndim_x));
+  PADDLE_ENFORCE_EQ(ndim_y,
+                    3,
+                    common::errors::InvalidArgument(
+                        "The input tensor y's dimension must be 3. "
+                        "But received y's dimension = [%d].",
+                        ndim_y));
+
+  std::vector<symbol::DimExpr> output_shape;
+  output_shape.push_back(x_shape.shape()[0]);  // batch size
+  output_shape.push_back(x_shape.shape()[1]);
+  output_shape.push_back(y_shape.shape()[2]);
+
+  infer_context->SetShapeOrDataForValue(
+      op->result(0),
+      symbol::ShapeOrDataDimExprs{
+          symbol::TensorShapeOrDataDimExprs(output_shape)});
+
+  infer_context->AddEqualCstr(x_shape.shape()[0],
+                              y_shape.shape()[0]);  // batch size
+  infer_context->AddEqualCstr(x_shape.shape()[2], y_shape.shape()[1]);
+
+  if (ndim_input == 3) {
+    infer_context->AddBroadcastableCstr(input_shape.shape()[0],
+                                        x_shape.shape()[0]);  // batch size
+    infer_context->AddBroadcastableCstr(input_shape.shape()[1],
+                                        x_shape.shape()[1]);
+    infer_context->AddBroadcastableCstr(input_shape.shape()[2],
+                                        y_shape.shape()[2]);
+  } else if (ndim_input == 2) {
+    infer_context->AddBroadcastableCstr(input_shape.shape()[0],
+                                        x_shape.shape()[0]);
+    infer_context->AddBroadcastableCstr(input_shape.shape()[1],
+                                        y_shape.shape()[2]);
+  }
+
+  return true;
+}
+
+bool Baddbmm_OpInferSymbolicShape(
+    pir::Operation *op, pir::InferSymbolicShapeContext *infer_context) {
+  return BaddbmmOpInferSymbolicShape(op, infer_context);
+}
+
 bool BatchFcOpInferSymbolicShape(
     pir::Operation *op, pir::InferSymbolicShapeContext *infer_context) {
   const auto &input_shape_or_data =
 
@@ -24,6 +24,8 @@ OP_DECLARE_INFER_SYMBOLIC_SHAPE(Addmm_)
 OP_DECLARE_INFER_SYMBOLIC_SHAPE(AddN)
 OP_DECLARE_INFER_SYMBOLIC_SHAPE(Auc)
 OP_DECLARE_INFER_SYMBOLIC_SHAPE(AssignPos)
+OP_DECLARE_INFER_SYMBOLIC_SHAPE(Baddbmm)
+OP_DECLARE_INFER_SYMBOLIC_SHAPE(Baddbmm_)
 OP_DECLARE_INFER_SYMBOLIC_SHAPE(BroadcastTensors)
 OP_DECLARE_INFER_SYMBOLIC_SHAPE(BatchFc)
 OP_DECLARE_INFER_SYMBOLIC_SHAPE(BatchNorm)
 
@@ -1419,6 +1419,28 @@ Tensor addmm_decomp(const Tensor& input,
          full_scalar<T>(beta, input.dtype()) * input;
 }
 
+template <typename T>
+Tensor baddbmm_decomp(const Tensor& input,
+                      const Tensor& x,
+                      const Tensor& y,
+                      const float beta,
+                      const float alpha) {
+  int batch_size = x.shape()[0];
+  std::vector<Tensor> batch_results;
+
+  for (int i = 0; i < batch_size; ++i) {
+    Tensor x_batch = get_slice<T>(x, i);
+    Tensor y_batch = get_slice<T>(y, i);
+    Tensor result = matmul<T>(x_batch, y_batch);
+    batch_results.push_back(result);
+  }
+
+  Tensor x_y_mat = concat<T>(batch_results);
+
+  return full_scalar<T>(alpha, x_y_mat.dtype()) * x_y_mat +
+         full_scalar<T>(beta, input.dtype()) * input;
+}
+
 template <typename T>
 Tensor eye_decomp(const paddle::Scalar& num_rows,
                   const paddle::Scalar& num_columns,
 
@@ -150,6 +150,88 @@ void AddmmInferMeta(const MetaTensor& input,
   out->set_dtype(input.dtype());
 }
 
+void BaddbmmInferMeta(const MetaTensor& input,
+                      const MetaTensor& x,
+                      const MetaTensor& y,
+                      float beta,
+                      float alpha,
+                      MetaTensor* out) {
+  auto input_dims = input.dims();
+  auto x_dims = x.dims();
+  auto y_dims = y.dims();
+
+  auto ndim_input = input_dims.size();
+  auto ndim_x = x_dims.size();
+  auto ndim_y = y_dims.size();
+
+  VLOG(3) << "baddbmm operator input.shape=" << input_dims
+          << " x.shape=" << x_dims << " y.shape=" << y_dims << " beta=" << beta
+          << " alpha=" << alpha << " ndim_input=" << ndim_input
+          << " ndim_x=" << ndim_x << " ndim_y=" << ndim_y;
+
+  PADDLE_ENFORCE_NE(
+      product(input_dims),
+      0,
+      errors::PreconditionNotMet("The Input variable 'input' has not "
+                                 "been initialized. You may need to confirm "
+                                 "if you put exe.run(startup_program) "
+                                 "after optimizer.minimize function."));
+
+  PADDLE_ENFORCE_NE(
+      product(x_dims),
+      0,
+      errors::PreconditionNotMet("The Input variable 'x' has not "
+                                 "been initialized. You may need to confirm "
+                                 "if you put exe.run(startup_program) "
+                                 "after optimizer.minimize function."));
+
+  PADDLE_ENFORCE_NE(
+      product(y_dims),
+      0,
+      errors::PreconditionNotMet("The Input variable 'y' has not "
+                                 "been initialized. You may need to confirm "
+                                 "if you put exe.run(startup_program) "
+                                 "after optimizer.minimize function."));
+  // dim check
+  PADDLE_ENFORCE_EQ(ndim_input == 3 || ndim_input == 2,
+                    true,
+                    errors::InvalidArgument(
+                        "The input tensor input's dimension must be 3 or 2. "
+                        "But received input's dimension = [%d].",
+                        ndim_input));
+  PADDLE_ENFORCE_EQ(
+      ndim_x,
+      3,
+      errors::InvalidArgument("The input tensor x's dimension must be 3. "
+                              "But received x's dimension = [%d].",
+                              ndim_x));
+  PADDLE_ENFORCE_EQ(
+      ndim_y,
+      3,
+      errors::InvalidArgument("The input tensor y's dimension must be 3. "
+                              "But received y's dimension = [%d].",
+                              ndim_y));
+
+  PADDLE_ENFORCE_EQ(
+      x_dims[2],
+      y_dims[1],
+      errors::InvalidArgument("The second dimension of x must be equal to the "
+                              "first dimension of y. "
+                              "But received x's second dimension = [%d], y's "
+                              "first dimension = [%d].",
+                              x_dims[2],
+                              y_dims[1]));
+
+  std::vector<int64_t> output_dims;
+  output_dims.push_back(x_dims[0]);
+  output_dims.push_back(x_dims[1]);
+  output_dims.push_back(y_dims[2]);
+
+  out->set_dims(common::make_ddim(output_dims));
+  out->share_lod(input);
+  out->set_dtype(input.dtype());
+}
+
 void AffineChannelInferMeta(const MetaTensor& x,
                             const MetaTensor& scale,
                             const MetaTensor& bias,
 
@@ -48,6 +48,13 @@ void AddmmInferMeta(const MetaTensor& input,
                     float alpha,
                     MetaTensor* out);
 
+void BaddbmmInferMeta(const MetaTensor& input,
+                      const MetaTensor& x,
+                      const MetaTensor& y,
+                      float beta,
+                      float alpha,
+                      MetaTensor* out);
+
 void AffineChannelInferMeta(const MetaTensor& x,
                             const MetaTensor& scale,
                             const MetaTensor& bias,
 
@@ -0,0 +1,33 @@
+/* Copyright (c) 2025 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"
+
+namespace phi {
+
+template <typename T, typename Context>
+void BaddbmmGradKernel(const Context& dev_ctx,
+                       const DenseTensor& input,
+                       const DenseTensor& x,
+                       const DenseTensor& y,
+                       const DenseTensor& out_grad,
+                       float alpha,
+                       float beta,
+                       DenseTensor* input_grad,
+                       DenseTensor* x_grad,
+                       DenseTensor* y_grad);
+
+}  // namespace phi
@@ -0,0 +1,30 @@
+/* Copyright (c) 2025 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"
+
+namespace phi {
+
+template <typename T, typename Context>
+void BaddbmmKernel(const Context& dev_ctx,
+                   const DenseTensor& input,
+                   const DenseTensor& x,
+                   const DenseTensor& y,
+                   float beta,
+                   float alpha,
+                   DenseTensor* out);
+
+}  // namespace phi
@@ -0,0 +1,22 @@
+/* Copyright (c) 2025 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/baddbmm_grad_kernel.h"
+
+#include "paddle/phi/backends/cpu/cpu_context.h"
+#include "paddle/phi/core/kernel_registry.h"
+#include "paddle/phi/kernels/impl/baddbmm_grad_kernel_impl.h"
+
+PD_REGISTER_KERNEL(
+    baddbmm_grad, CPU, ALL_LAYOUT, phi::BaddbmmGradKernel, float, double) {}
@@ -0,0 +1,22 @@
+/* Copyright (c) 2025 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/baddbmm_kernel.h"
+
+#include "paddle/phi/backends/cpu/cpu_context.h"
+#include "paddle/phi/core/kernel_registry.h"
+#include "paddle/phi/kernels/impl/baddbmm_kernel_impl.h"
+
+PD_REGISTER_KERNEL(
+    baddbmm, CPU, ALL_LAYOUT, phi::BaddbmmKernel, float, double) {}