using observed outputs vs using the observed outputs

Both phrases are correct, but they are used in different contexts. "Using observed outputs" is used when referring to observed outputs in a general sense, while "using the observed outputs" is used when referring to specific observed outputs. The choice between the two depends on whether you are talking about outputs in general or specific outputs.

Last updated: March 20, 2024 • 549 views

using observed outputs

This phrase is correct and commonly used when referring to observed outputs in a general sense.

This phrase is used when talking about observed outputs in a general sense, without specifying any particular outputs.

Examples:

Using observed outputs can help in understanding the system behavior.
The model was trained using observed outputs from previous experiments.

Show examples from the web [+]

We assume that we are modelling an unknown nonlinear system ¢ гд ¥, with known inputs ¤, using observed outputs ¦. These have been corrupted by an ...
Jul 1, 2013 ... The model was trained using observed outputs x and uncertain labels pl1,...,plT as explained in Subection III-B. The E2M algorithm was run 10.
Jul 1, 2013 ... The model was trained using observed outputs x and uncertain labels pl1,...,plT as explained in Subection III-B. The E2M algorithm was run 10.
Compute values for output units, using observed outputs; For each layer from output back: Propagate the values back to previous layer; Update incoming ...

Alternatives:

utilizing observed outputs
employing observed outputs

using the observed outputs

This phrase is correct and commonly used when referring to specific observed outputs.

This phrase is used when referring to specific observed outputs, indicating a particular set of outputs that have been observed.

Examples:

The analysis was conducted using the observed outputs from the experiment.
Using the observed outputs as input, the system generated accurate predictions.

Show examples from the web [+]

simulation model at some design points θ1,...,θk and using the observed outputs. µ(θ1),...,µ(θk) to construct ˆµ by regression, interpolation, or both. In stochastic.
states be inferred using the observed outputs. It has been reported that in order to satisfy the observability criterion for range-only tracking, multiple static ...

Alternatives:

utilizing the observed outputs
employing the observed outputs

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using observed outputs vs using the observed outputs