In a small bowl, combine the mustard and vinegar. Slowly whisk in the oils. Season, to taste, with salt and pepper and set aside. Whisk again when ready to serve.
In a small skillet, heat the olive oil. Season the diced artichokes lightly with salt and pepper and saute until al dente, about 3 minutes. Transfer to a large bowl and let cool.
Blanch the carrots and beans by placing each into a fine mesh basket. Set the basket into a pot of boiling salted water and cook until al dente, 2 to 3 minutes. Plunge onto cold water to stop the cooking process. Drain, cool, and add to the artichokes. Add the onion, radicchio, corn and celery.
When ready to serve, dice the avocado and the tomato and add to the other vegetables. Reserving a little vinaigrette, toss the vegetables with the vinaigrette, sprinkle with the grated cheese, and toss again. Correct seasoning, to taste.
Toss the greens with the reserved vinaigrette and season with salt and pepper, to taste.
Divide the salad greens among 4 salad plates. Mound the chopped salad on the greens and serve immediately.
Note: You can be creative as to the vegetables you want to include or exclude in your salad. For example, you can use baby peas in season, or diced Chinese pea pods, or diced Italian squash, etc.