若用参数$\theta \in \Theta = \mathbb{R}^\text{参数数量}$训练神经网络，则可将每个训练样本视为向量场。具体而言，若$x$是训练样本，$\mathcal{L}^{(x)}$是该样本的损失函数，则对应的向量场为：
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What to expect: Edwards steps in as the clear RB1 in a revamped Spartans backfield and should immediately elevate a run game that finished fourth worst in the Big Ten in both yards and yards per attempt last year. His elusiveness and contact balance show up in the advanced numbers. He forced 49 missed tackles and ripped off 28 runs of 10-plus yards last season, all without a single fumble. Behind an improved line and alongside complementary transfers Marvis Parrish and Jaziun Patterson, Edwards projects as the volume carrier who can move the chains, generate explosives and take pressure off a new quarterback. If his UConn efficiency translates to the Big Ten, he has a chance to be Michigan State's most impactful offensive newcomer and the centerpiece of an offense trying to regain its identity on the ground.