diff --git a/kmath-torch/ctorch/include/ctorch.h b/kmath-torch/ctorch/include/ctorch.h
index e5a8562fe..44a7ad22e 100644
--- a/kmath-torch/ctorch/include/ctorch.h
+++ b/kmath-torch/ctorch/include/ctorch.h
@@ -18,6 +18,8 @@ extern "C"
 
     void set_seed(int seed);
 
+    TorchTensorHandle empty_tensor();
+
     double *get_data_double(TorchTensorHandle tensor_handle);
     float *get_data_float(TorchTensorHandle tensor_handle);
     long *get_data_long(TorchTensorHandle tensor_handle);
@@ -115,9 +117,21 @@ extern "C"
 
     bool requires_grad(TorchTensorHandle tensor_handle);
     void requires_grad_(TorchTensorHandle tensor_handle, bool status);
-    void detach_from_graph(TorchTensorHandle tensor_handle);
+    TorchTensorHandle detach_from_graph(TorchTensorHandle tensor_handle);
     TorchTensorHandle autograd_tensor(TorchTensorHandle value, TorchTensorHandle variable);
 
+    TorchTensorHandle diag_embed(TorchTensorHandle diags_handle, int offset, int dim1, int dim2);
+
+    void svd_tensor(TorchTensorHandle tensor_handle,
+                    TorchTensorHandle U_handle,
+                    TorchTensorHandle S_handle,
+                    TorchTensorHandle V_handle);
+
+    void symeig_tensor(TorchTensorHandle tensor_handle,
+                       TorchTensorHandle S_handle,
+                       TorchTensorHandle V_handle,
+                       bool eigenvectors);
+
 #ifdef __cplusplus
 }
 #endif
diff --git a/kmath-torch/ctorch/src/ctorch.cc b/kmath-torch/ctorch/src/ctorch.cc
index 7148f9e15..24dff472d 100644
--- a/kmath-torch/ctorch/src/ctorch.cc
+++ b/kmath-torch/ctorch/src/ctorch.cc
@@ -25,6 +25,11 @@ void set_seed(int seed)
   torch::manual_seed(seed);
 }
 
+TorchTensorHandle empty_tensor()
+{
+  return new torch::Tensor;
+}
+
 double *get_data_double(TorchTensorHandle tensor_handle)
 {
   return ctorch::cast(tensor_handle).data_ptr<double>();
@@ -359,11 +364,37 @@ void requires_grad_(TorchTensorHandle tensor_handle, bool status)
 {
   ctorch::cast(tensor_handle).requires_grad_(status);
 }
-void detach_from_graph(TorchTensorHandle tensor_handle)
+TorchTensorHandle detach_from_graph(TorchTensorHandle tensor_handle)
 {
-  ctorch::cast(tensor_handle).detach();
+  return new torch::Tensor(ctorch::cast(tensor_handle).detach());
 }
 TorchTensorHandle autograd_tensor(TorchTensorHandle value, TorchTensorHandle variable)
 {
   return new torch::Tensor(torch::autograd::grad({ctorch::cast(value)}, {ctorch::cast(variable)})[0]);
 }
+
+TorchTensorHandle diag_embed(TorchTensorHandle diags_handle, int offset, int dim1, int dim2)
+{
+  return new torch::Tensor(torch::diag_embed(ctorch::cast(diags_handle), offset, dim1, dim2));
+}
+
+void svd_tensor(TorchTensorHandle tensor_handle,
+                TorchTensorHandle U_handle,
+                TorchTensorHandle S_handle,
+                TorchTensorHandle V_handle)
+{
+  auto [U, S, V] = torch::svd(ctorch::cast(tensor_handle));
+  ctorch::cast(U_handle) = U;
+  ctorch::cast(S_handle) = S;
+  ctorch::cast(V_handle) = V;
+}
+
+void symeig_tensor(TorchTensorHandle tensor_handle,
+                TorchTensorHandle S_handle,
+                TorchTensorHandle V_handle,
+                bool eigenvectors)
+{
+  auto [S, V] = torch::symeig(ctorch::cast(tensor_handle), eigenvectors);
+  ctorch::cast(S_handle) = S;
+  ctorch::cast(V_handle) = V;
+}
diff --git a/kmath-torch/src/nativeGPUTest/kotlin/kscience/kmath/torch/TestAutogradGPU.kt b/kmath-torch/src/nativeGPUTest/kotlin/kscience/kmath/torch/TestAutogradGPU.kt
index 18f13099d..7c974fced 100644
--- a/kmath-torch/src/nativeGPUTest/kotlin/kscience/kmath/torch/TestAutogradGPU.kt
+++ b/kmath-torch/src/nativeGPUTest/kotlin/kscience/kmath/torch/TestAutogradGPU.kt
@@ -6,4 +6,8 @@ import kotlin.test.*
 internal class TestAutogradGPU {
     @Test
     fun testAutoGrad() = testingAutoGrad(dim = 3, device = TorchDevice.TorchCUDA(0))
+
+    @Test
+    fun testBatchedAutoGrad() = testingBatchedAutoGrad(
+        bath = intArrayOf(2), dim=3, device = TorchDevice.TorchCUDA(0))
 }
\ No newline at end of file
diff --git a/kmath-torch/src/nativeGPUTest/kotlin/kscience/kmath/torch/TestTorchTensorAlgebraGPU.kt b/kmath-torch/src/nativeGPUTest/kotlin/kscience/kmath/torch/TestTorchTensorAlgebraGPU.kt
index dcdc4d7df..fdd5758c2 100644
--- a/kmath-torch/src/nativeGPUTest/kotlin/kscience/kmath/torch/TestTorchTensorAlgebraGPU.kt
+++ b/kmath-torch/src/nativeGPUTest/kotlin/kscience/kmath/torch/TestTorchTensorAlgebraGPU.kt
@@ -21,4 +21,13 @@ class TestTorchTensorAlgebraGPU {
     fun testTensorTransformations() =
         testingTensorTransformations(device = TorchDevice.TorchCUDA(0))
 
+    @Test
+    fun testBatchedSVD() =
+        testingBatchedSVD(device = TorchDevice.TorchCUDA(0))
+
+    @Test
+    fun testBatchedSymEig() =
+        testingBatchedSymEig(device = TorchDevice.TorchCUDA(0))
+
+
 }
diff --git a/kmath-torch/src/nativeMain/kotlin/kscience.kmath.torch/TorchTensor.kt b/kmath-torch/src/nativeMain/kotlin/kscience.kmath.torch/TorchTensor.kt
index 953368b4a..01025d55f 100644
--- a/kmath-torch/src/nativeMain/kotlin/kscience.kmath.torch/TorchTensor.kt
+++ b/kmath-torch/src/nativeMain/kotlin/kscience.kmath.torch/TorchTensor.kt
@@ -53,9 +53,6 @@ public sealed class TorchTensor<T> constructor(
         get() = requires_grad(tensorHandle)
         set(value) = requires_grad_(tensorHandle, value)
 
-    public fun detachFromGraph(): Unit {
-        detach_from_graph(tensorHandle)
-    }
 }
 
 public class TorchTensorReal internal constructor(
diff --git a/kmath-torch/src/nativeMain/kotlin/kscience.kmath.torch/TorchTensorAlgebra.kt b/kmath-torch/src/nativeMain/kotlin/kscience.kmath.torch/TorchTensorAlgebra.kt
index 8f0f2c5e9..ab1af8769 100644
--- a/kmath-torch/src/nativeMain/kotlin/kscience.kmath.torch/TorchTensorAlgebra.kt
+++ b/kmath-torch/src/nativeMain/kotlin/kscience.kmath.torch/TorchTensorAlgebra.kt
@@ -84,6 +84,7 @@ public sealed class TorchTensorAlgebra<
 
     public fun TorchTensorType.transpose(i: Int, j: Int): TorchTensorType =
         wrap(transpose_tensor(tensorHandle, i, j)!!)
+
     public fun TorchTensorType.transposeAssign(i: Int, j: Int): Unit {
         transpose_tensor_assign(tensorHandle, i, j)
     }
@@ -93,13 +94,37 @@ public sealed class TorchTensorAlgebra<
         sum_tensor_assign(tensorHandle)
     }
 
+    public fun diagEmbed(diagonalEntries: TorchTensorType,
+                         offset: Int = 0, dim1: Int = -2, dim2: Int = -1): TorchTensorType =
+        wrap(diag_embed(diagonalEntries.tensorHandle, offset, dim1, dim2)!!)
+
+    public fun TorchTensorType.svd(): Triple<TorchTensorType,TorchTensorType,TorchTensorType> {
+        val U = empty_tensor()!!
+        val V = empty_tensor()!!
+        val S = empty_tensor()!!
+        svd_tensor(this.tensorHandle, U, S, V)
+        return Triple(wrap(U), wrap(S), wrap(V))
+    }
+
+    public fun TorchTensorType.symEig(eigenvectors: Boolean = true): Pair<TorchTensorType, TorchTensorType> {
+        val V = empty_tensor()!!
+        val S = empty_tensor()!!
+        symeig_tensor(this.tensorHandle, S,  V, eigenvectors)
+        return Pair(wrap(S), wrap(V))
+    }
+
     public infix fun TorchTensorType.grad(variable: TorchTensorType): TorchTensorType =
         wrap(autograd_tensor(this.tensorHandle, variable.tensorHandle)!!)
 
     public fun TorchTensorType.copy(): TorchTensorType =
         wrap(tensorHandle = copy_tensor(this.tensorHandle)!!)
+
     public fun TorchTensorType.copyToDevice(device: TorchDevice): TorchTensorType =
         wrap(tensorHandle = copy_to_device(this.tensorHandle, device.toInt())!!)
+
+    public fun TorchTensorType.detachFromGraph(): TorchTensorType =
+        wrap(tensorHandle = detach_from_graph(this.tensorHandle)!!)
+
 }
 
 public sealed class TorchTensorFieldAlgebra<T, TVar : CPrimitiveVar,
diff --git a/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestAutograd.kt b/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestAutograd.kt
index 2aa3e14a1..77f0e8dd7 100644
--- a/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestAutograd.kt
+++ b/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestAutograd.kt
@@ -22,7 +22,36 @@ internal fun testingAutoGrad(dim: Int, device: TorchDevice = TorchDevice.TorchCP
     }
 }
 
+internal fun testingBatchedAutoGrad(bath: IntArray,
+                                    dim: Int,
+                                    device: TorchDevice = TorchDevice.TorchCPU): Unit {
+    TorchTensorRealAlgebra {
+        setSeed(SEED)
+
+        val tensorX = randNormal(shape = bath+intArrayOf(1,dim), device = device)
+        tensorX.requiresGrad = true
+        val tensorXt = tensorX.transpose(-1,-2)
+        val randFeatures = randNormal(shape = bath+intArrayOf(dim, dim), device = device)
+        val tensorSigma = randFeatures + randFeatures.transpose(-2,-1)
+        val tensorMu = randNormal(shape = bath+intArrayOf(1,dim), device = device)
+
+        val expressionAtX =
+            0.5 * (tensorX dot (tensorSigma dot tensorXt)) + (tensorMu dot tensorXt) + 58.2
+        expressionAtX.sumAssign()
+
+        val gradientAtX = expressionAtX grad tensorX
+        val expectedGradientAtX = (tensorX dot tensorSigma) + tensorMu
+
+        val error = (gradientAtX - expectedGradientAtX).abs().sum().value()
+        assertTrue(error < TOLERANCE)
+
+    }
+}
+
 internal class TestAutograd {
     @Test
     fun testAutoGrad() = testingAutoGrad(dim = 100)
+
+    @Test
+    fun testBatchedAutoGrad() = testingBatchedAutoGrad(bath = intArrayOf(2,10), dim=30)
 }
\ No newline at end of file
diff --git a/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestTorchTensor.kt b/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestTorchTensor.kt
index 1dc3630c6..665b491ee 100644
--- a/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestTorchTensor.kt
+++ b/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestTorchTensor.kt
@@ -45,5 +45,8 @@ class TestTorchTensor {
         assertTrue(tensor.requiresGrad)
         tensor.requiresGrad = false
         assertTrue(!tensor.requiresGrad)
+        tensor.requiresGrad = true
+        val detachedTensor = tensor.detachFromGraph()
+        assertTrue(!detachedTensor.requiresGrad)
     }
 }
\ No newline at end of file
diff --git a/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestTorchTensorAlgebra.kt b/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestTorchTensorAlgebra.kt
index 118128d12..fa6246c87 100644
--- a/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestTorchTensorAlgebra.kt
+++ b/kmath-torch/src/nativeTest/kotlin/kscience/kmath/torch/TestTorchTensorAlgebra.kt
@@ -90,15 +90,34 @@ internal fun testingTensorTransformations(device: TorchDevice = TorchDevice.Torc
         val tensor = randNormal(shape = intArrayOf(3, 3), device = device)
         val result = tensor.exp().log()
         val assignResult = tensor.copy()
-        assignResult.transposeAssign(0,1)
+        assignResult.transposeAssign(0, 1)
         assignResult.expAssign()
         assignResult.logAssign()
-        assignResult.transposeAssign(0,1)
+        assignResult.transposeAssign(0, 1)
         val error = tensor - result
         error.absAssign()
         error.sumAssign()
         error += (tensor - assignResult).abs().sum()
-        assertTrue (error.value()< TOLERANCE)
+        assertTrue(error.value() < TOLERANCE)
+    }
+}
+
+internal fun testingBatchedSVD(device: TorchDevice = TorchDevice.TorchCPU): Unit {
+    TorchTensorRealAlgebra {
+        val tensor = randNormal(shape = intArrayOf(7, 5, 3), device = device)
+        val (tensorU, tensorS, tensorV) = tensor.svd()
+        val error = tensor - (tensorU dot (diagEmbed(tensorS) dot tensorV.transpose(-2,-1)))
+        assertTrue(error.abs().sum().value() < TOLERANCE)
+    }
+}
+
+internal fun testingBatchedSymEig(device: TorchDevice = TorchDevice.TorchCPU): Unit {
+    TorchTensorRealAlgebra {
+        val tensor = randNormal(shape = intArrayOf(5,5), device = device)
+        val tensorSigma = tensor + tensor.transpose(-2,-1)
+        val (tensorS, tensorV) = tensorSigma.symEig()
+        val error = tensorSigma - (tensorV dot (diagEmbed(tensorS) dot tensorV.transpose(-2,-1)))
+        assertTrue(error.abs().sum().value() < TOLERANCE)
     }
 }
 
@@ -116,4 +135,10 @@ internal class TestTorchTensorAlgebra {
     @Test
     fun testTensorTransformations() = testingTensorTransformations()
 
+    @Test
+    fun testBatchedSVD() = testingBatchedSVD()
+
+    @Test
+    fun testBatchedSymEig() = testingBatchedSymEig()
+
 }
\ No newline at end of file