Combine pumpkin puree, oil, and eggs. Mix well until combined.
Mix in white and brown sugars, cinnamon, ginger, cloves, nutmeg, and salt.
Add in flour and baking soda and mix until streaky.
Add in toasted walnuts and finish mixing.
Cheesecake Swirl
Mix together softened cream cheese, egg, sugar, and salt until blended smooth. Make sure there are no lumps.
Assembly
Pour the pumpkin bar mixture into baking sheet/dish and ensure it is leveled.
Drizzle cheesecake swirl over the pumpkin bar into lines.
Using a spatula/spoon/chopstick/utensil of choice, cut lines through the cheesecake and pumpkin batters to "swirl" the two together. Don't go overboard otherwise it will turn into a mixture.
Bake at 350F for about 30 minutes, until bars have puffed up, cheesecake has set, and toothpick comes out clean.