An engineer is designing a component for a neural network where input vectors have a fixed dimension d of 1024. The design involves splitting the processing into a number of parallel streams, τ. The engineer is evaluating two design options:

• Option 1: Use τ = 8 parallel streams.
• Option 2: Use τ = 16 parallel streams.

For each option, a specific transformation matrix is used for each stream, with dimensions defined as d rows and d/τ columns. Evaluate the trade-offs between these two options. Your evaluation should compare the resulting matrix dimensions for a single stream in each option and discuss the potential impact of each choice on the model's ability to learn from the input data.