diff --git a/kmath-noa/src/main/java/space/kscience/kmath/noa/JNoa.java b/kmath-noa/src/main/java/space/kscience/kmath/noa/JNoa.java
index a5c9ba75b..2e96ed03a 100644
--- a/kmath-noa/src/main/java/space/kscience/kmath/noa/JNoa.java
+++ b/kmath-noa/src/main/java/space/kscience/kmath/noa/JNoa.java
@@ -280,4 +280,23 @@ class JNoa {
 
     public static native long autoHessTensor(long value, long variable);
 
+    public static native void backwardPass(long tensorHandle);
+
+    public static native long tensorGrad(long tensorHandle);
+
+    public static native void disposeJitModule(long jitModuleHandle);
+
+    public static native void trainMode(long jitModuleHandle, boolean status);
+
+    public static native long loadJitModuleDouble(String path, int device);
+
+    public static native long loadJitModuleFloat(String path, int device);
+
+    public static native long loadJitModuleLong(String path, int device);
+
+    public static native long loadJitModuleInt(String path, int device);
+
+    public static native long forwardPass(long jitModuleHandle, long tensorHandle);
+
+    public static native void forwardPassAssign(long jitModuleHandle, long tensorHandle);
 }
diff --git a/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/NoaJitModule.kt b/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/NoaJitModule.kt
new file mode 100644
index 000000000..402cdf012
--- /dev/null
+++ b/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/NoaJitModule.kt
@@ -0,0 +1,17 @@
+/*
+ * Copyright 2018-2021 KMath contributors.
+ * Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
+ */
+
+package space.kscience.kmath.noa
+
+import space.kscience.kmath.noa.memory.NoaResource
+import space.kscience.kmath.noa.memory.NoaScope
+
+internal typealias JitModuleHandle = Long
+
+public class NoaJitModule
+internal constructor(scope: NoaScope, internal val jitModuleHandle: JitModuleHandle)
+    : NoaResource(scope){
+    override fun dispose(): Unit = JNoa.disposeJitModule(jitModuleHandle)
+}
\ No newline at end of file
diff --git a/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/algebras.kt b/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/algebras.kt
index fbd89a5a4..47c18f8cf 100644
--- a/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/algebras.kt
+++ b/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/algebras.kt
@@ -5,6 +5,7 @@
 
 package space.kscience.kmath.noa
 
+import com.sun.security.auth.module.JndiLoginModule
 import space.kscience.kmath.misc.PerformancePitfall
 import space.kscience.kmath.noa.memory.NoaScope
 import space.kscience.kmath.tensors.api.AnalyticTensorAlgebra
@@ -139,6 +140,14 @@ protected constructor(protected val scope: NoaScope) :
     public fun Tensor<T>.copyToDevice(device: Device): TensorType =
         wrap(JNoa.copyToDevice(tensor.tensorHandle, device.toInt()))
 
+    public abstract fun loadJitModule(path: String, device: Device): NoaJitModule
+
+    public fun NoaJitModule.forward(parameters: TensorType): TensorType =
+        wrap(JNoa.forwardPass(this.jitModuleHandle, parameters.tensorHandle))
+
+    public fun NoaJitModule.forwardAssign(parameters: TensorType): Unit =
+        JNoa.forwardPassAssign(this.jitModuleHandle, parameters.tensorHandle)
+
 }
 
 public sealed class NoaPartialDivisionAlgebra<T, PrimitiveArray, TensorType : NoaTensor<T>>
@@ -278,17 +287,24 @@ protected constructor(scope: NoaScope) :
         return Pair(wrap(S), wrap(V))
     }
 
-    public fun TensorType.grad(variable: TensorType, retainGraph: Boolean): TensorType {
-        return wrap(JNoa.autoGradTensor(tensorHandle, variable.tensorHandle, retainGraph))
-    }
+    public fun TensorType.autoGradient(variable: TensorType, retainGraph: Boolean): TensorType =
+        wrap(JNoa.autoGradTensor(tensorHandle, variable.tensorHandle, retainGraph))
 
-    public infix fun TensorType.hess(variable: TensorType): TensorType {
-        return wrap(JNoa.autoHessTensor(tensorHandle, variable.tensorHandle))
-    }
+    public fun TensorType.autoHessian(variable: TensorType): TensorType =
+        wrap(JNoa.autoHessTensor(tensorHandle, variable.tensorHandle))
 
     public fun TensorType.detachFromGraph(): TensorType =
         wrap(JNoa.detachFromGraph(tensorHandle))
 
+    public fun TensorType.backward(): Unit =
+        JNoa.backwardPass(tensorHandle)
+
+    public fun TensorType.grad(): TensorType =
+        wrap(JNoa.tensorGrad(tensorHandle))
+
+    public fun NoaJitModule.train(status: Boolean): Unit =
+        JNoa.trainMode(this.jitModuleHandle, status)
+
 }
 
 public sealed class NoaDoubleAlgebra
@@ -365,6 +381,8 @@ protected constructor(scope: NoaScope) :
     override fun full(value: Double, shape: IntArray, device: Device): NoaDoubleTensor =
         wrap(JNoa.fullDouble(value, shape, device.toInt()))
 
+    override fun loadJitModule(path: String, device: Device): NoaJitModule =
+        NoaJitModule(scope, JNoa.loadJitModuleDouble(path, device.toInt()))
 }
 
 public sealed class NoaFloatAlgebra
@@ -441,6 +459,9 @@ protected constructor(scope: NoaScope) :
     override fun full(value: Float, shape: IntArray, device: Device): NoaFloatTensor =
         wrap(JNoa.fullFloat(value, shape, device.toInt()))
 
+    override fun loadJitModule(path: String, device: Device): NoaJitModule =
+        NoaJitModule(scope, JNoa.loadJitModuleFloat(path, device.toInt()))
+
 }
 
 public sealed class NoaLongAlgebra
@@ -502,6 +523,9 @@ protected constructor(scope: NoaScope) :
     override fun full(value: Long, shape: IntArray, device: Device): NoaLongTensor =
         wrap(JNoa.fullLong(value, shape, device.toInt()))
 
+    override fun loadJitModule(path: String, device: Device): NoaJitModule =
+        NoaJitModule(scope, JNoa.loadJitModuleLong(path, device.toInt()))
+
 }
 
 public sealed class NoaIntAlgebra
@@ -563,4 +587,7 @@ protected constructor(scope: NoaScope) :
     override fun full(value: Int, shape: IntArray, device: Device): NoaIntTensor =
         wrap(JNoa.fullInt(value, shape, device.toInt()))
 
+    override fun loadJitModule(path: String, device: Device): NoaJitModule =
+        NoaJitModule(scope, JNoa.loadJitModuleInt(path, device.toInt()))
+
 }
diff --git a/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/tensors.kt b/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/tensors.kt
index d6353f179..3c9508db2 100644
--- a/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/tensors.kt
+++ b/kmath-noa/src/main/kotlin/space/kscience/kmath/noa/tensors.kt
@@ -14,7 +14,7 @@ import space.kscience.kmath.tensors.core.TensorLinearStructure
 internal typealias TensorHandle = Long
 
 public sealed class NoaTensor<T>
-constructor(scope: NoaScope, internal val tensorHandle: TensorHandle) :
+protected constructor(scope: NoaScope, internal val tensorHandle: TensorHandle) :
     NoaResource(scope), Tensor<T> {
 
     override fun dispose(): Unit = JNoa.disposeTensor(tensorHandle)
@@ -69,7 +69,7 @@ constructor(scope: NoaScope, internal val tensorHandle: TensorHandle) :
 }
 
 public sealed class NoaTensorOverField<T>
-constructor(scope: NoaScope, tensorHandle: Long) :
+protected constructor(scope: NoaScope, tensorHandle: Long) :
     NoaTensor<T>(scope, tensorHandle) {
     public var requiresGrad: Boolean
         get() = JNoa.requiresGrad(tensorHandle)