Drive a few blocks past Mat and Naddie’s, and you’ll end up leaving town. Climb up the embankment outside the restaurant, and you might fall in the Mississippi. Mat and Naddie’s is truly on the edge of the city, and the funky cottage feels out-of-the-way. The quiet space and the outdoor patio attract young couples looking for a hideaway off the beaten path. The kitchen sprinkles a few foreign influences into its contemporary Louisiana cooking, such as the bronzed Gulf drumfish with chipotle harissa or the grilled venison medallions with garlic spaetzle. Mat and Naddie’s gets less press than other New Orleans restaurants, but it’s not because it deserves less attention.