the output dimension

USAGE SUMMARY

The phrase "the output dimension" is correct and usable in written English.
It can be used in contexts related to mathematics, data analysis, or machine learning, where it refers to the size or shape of the output produced by a function or model. Example: "In this neural network, the output dimension is set to 10, indicating that the model will produce 10 different classes."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

Note that, unlike in the figure, the proposed feature synthesis approach allows the output dimension to differ from the original dimension.

EURASIP Journal on Audio, Speech, and Music Processing

Such requirements can be met with the EFS technique by setting the output dimension range equal to the requested one, or by setting it to a single specific value.

EURASIP Journal on Audio, Speech, and Music Processing

However, as the output dimension of the EFS is not fixed in advance, a separate target vector is generated for each dimension d ∈ D min, D max, resulting to a complete target matrix.

EURASIP Journal on Audio, Speech, and Music Processing

For further comparison, note that in the SLP topology the output layer dimension is fixed, whereas in the EFS the output dimension is (as mentioned) optimized within the set range.

EURASIP Journal on Audio, Speech, and Music Processing

First of all, formulate an MLP as a non-linear mapping function ( f_{theta }: mathcal {R}^{M} longmapsto mathcal {R}^{K}) where M is the input dimension and K is the output dimension, and θ encodes all the parameters of the network including weights and biases.

EURASIP Journal on Audio, Speech, and Music Processing

The LDA linearly weights the input features in such a way that the output dimension exhibits maximum discriminatory power.

BMC Plant Biology

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

Whenever the output of softmax cross-entropy is retained from each expert stream, the gating network's output weights both experts' output (the output dimensions of the gating network are two when only two expert networks are used).

EURASIP Journal on Image and Video Processing

The technology/supply-oriented business units will constitute the third output dimension of COM/Energy's value chain.

Systems Thinking Managing Chaos and Complexity: A Platform for Designing Business Architecture

For the case of this study, these neural networks apply the hyperbolic tangent as the activation function with an output dimension of 100.

Journal of Big Data

Furthermore, by allowing the output vector dimension vary during the synthesis process, the most suitable FV dimension can be found concurrently in a single experiment, obviating the need to perform separate experiments with different (fixed) FV dimensions.

EURASIP Journal on Audio, Speech, and Music Processing

This new deal augments that arrangement, and includes the output of Dimension Films - a subsidiary of The Weinstein Company (TWC).

Independent

Expert writing Tips

Best practice

When discussing neural networks or machine learning models, clearly define "the output dimension" to specify the number of nodes in the output layer or the size of the output vector. This helps ensure clarity and avoids ambiguity in technical documentation.

Common error

Avoid using "the output dimension" interchangeably with the input dimension. The output dimension refers to the size of the output vector, while the input dimension refers to the size of the input vector. Incorrectly using these terms can lead to misunderstandings about the model's architecture and functionality.

Linguistic Context

The phrase "the output dimension" functions as a noun phrase that identifies a specific attribute or characteristic of a system, model, or process. Ludwig AI shows its usage in technical and scientific contexts.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

In summary, "the output dimension" is a noun phrase used to specify the size or range of an output, particularly in scientific and technical contexts. Ludwig AI confirms that the phrase is grammatically correct. It is most commonly found in scientific literature, with a formal register. When writing, it's crucial to distinguish the output dimension from the input dimension to avoid confusion. Alternatives such as "the output size" can be used, but "dimension" offers more formality.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

the output size

Replaces "dimension" with "size", focusing on the magnitude or extent of the output.

the output vector size

Specifies "vector size" instead of "dimension", clarifying the output is a vector and focusing on its size.

the output magnitude

Substitutes "dimension" with "magnitude", emphasizing the numerical value of the output.

the output feature size

Uses "feature size" in place of "dimension", specifying that the output is a feature and focusing on its size.

the output range

Changes "dimension" to "range", highlighting the span or scope of the output values.

the output scale

Replaces "dimension" with "scale", focusing on the relative size or extent of the output.

the output extent

Substitutes "dimension" with "extent", emphasizing the scope or range of the output.

the output characteristic

Replaces "dimension" with "characteristic", focusing on a specific measurable attribute of the output.

the output property

Substitutes "dimension" with "property", emphasizing a specific attribute or feature of the output.

the output attribute

Changes "dimension" to "attribute", highlighting a specific characteristic or feature of the output.

FAQs

What does "the output dimension" refer to in machine learning?

In machine learning, "the output dimension" typically refers to the size of the output vector produced by a model. For example, in a classification task, the output dimension might represent the number of classes the model can predict.

How does the output dimension affect model complexity?

Generally, a higher output dimension increases the complexity of the model, as it requires more parameters to learn the mapping from input to output. This can lead to overfitting if not properly regularized.

Can I use "the output size" instead of "the output dimension"?

Yes, "the output size" can often be used interchangeably with "the output dimension", especially when referring to the length or number of elements in the output vector. However, "dimension" might be preferred in more formal or mathematical contexts.

What's the difference between the input dimension and "the output dimension" in a neural network?

The input dimension refers to the number of features in the input data, while "the output dimension" refers to the number of nodes in the output layer of the neural network. They represent different aspects of the network's architecture and functionality.