Preheat oven to 350°F (180°C). Line a muffin tin with paper liners.
In a bowl, whisk together the flour, baking powder, ground walnuts, and salt until well combined.
In a separate bowl, cream together the butter and sugar until light and fluffy.
Add the eggs one at a time to the butter mixture, mixing well after each addition. Stir in the vanilla extract.
Gradually add the dry ingredients and milk to the wet ingredients, alternating between the two, and mix until just combined. Do not overmix.
Fill the muffin liners about three-quarters full with the batter. Bake for 18-20 minutes, or until golden brown and a toothpick inserted into the center comes out clean.
While the cupcakes are baking, prepare the walnut cream frosting: in a bowl, whip the heavy cream until stiff peaks form. Gently fold in the powdered sugar and cream cheese until smooth and creamy.
Let the cupcakes cool completely before frosting. Pipe or spread the walnut cream frosting onto the cupcakes and garnish with a walnut half on top.
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