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在论文中，作者提到这个损失函数可能会导致专家网络之间的强烈耦合，因为一个专家网络的权重变化会影响到其他专家网络的loss。这种耦合可能会导致多个专家网络被用于处理每条样本，而不是专注于它们各自擅长的子任务。为了解决这个问题，论文提出了重新定义损失函数的方法，以鼓励专家网络之间的相互竞争。
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作者还尝试了混合精度的方法，例如用 bfloat16 精度训练专家，同时对其余计算使用全精度进行。较低的精度可以减少处理器间的通信成本、计算成本以及存储 tensor 的内存。然而，在最初的实验中，当专家和门控网络都使用 bfloat16 精度训练时，出现了不稳定的训练现象。这种不稳定性主要是由路由计算引起的，因为路由涉及指数函数等操作，这些操作对精度要求较高。因此，为了保持计算的稳定性和精确性，保持更高的精度是重要的。为了减轻不稳定性，路由过程也使用了全精度。
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在稀疏模型中，专家的数量通常分布在多个设备上，每个专家负责处理一部分输入数据。理想情况下，每个专家应该处理相同数量的数据，以实现资源的均匀利用。然而，在实际训练过程中，由于数据分布的不均匀性，某些专家可能会处理更多的数据，而其他专家可能会处理较少的数据。这种不均衡可能导致训练效率低下，因为某些专家可能会过载，而其他专家则可能闲置。为了解决这个问题，论文中引入了一种辅助损失函数，以促进专家之间的负载均衡。