as a sigmoid for example

USAGE SUMMARY

The phrase "as a sigmoid for example" is correct and usable in written English.
It can be used when providing an illustration or example related to a sigmoid function, often in mathematical or statistical contexts. Example: "In machine learning, activation functions can significantly impact model performance, as a sigmoid for example, which maps input values to a range between 0 and 1."

✓ Grammatically correct

Science

Wiki

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

It is usually modeled as a sigmoid, for example F x) = frac{1}{1+e^{-gamma x-kappa)}} for some (gamma>0) and some threshold (kappa>0), imitating the threshold-like nature of spiking activity.

The Journal of Mathematical Neuroscience

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

As usual, we take the gain function (F:mathbb {R}rightarrow[0,1]) to be a sigmoid function, for example (F x) = frac{1}{1+ e^{-gamma x-kappa)}}) for some^{-gamma x-kappakappa<1).

The Journal of Mathematical Neuroscience

The outcome is different when fishing is conducted with a gear type that has a sigmoid size-selectivity, for example trawls (Fig. 4D F).

Evolutionary Applications

For example, a sigmoid function for a Boolean input matrix, or a rounding function in the case of integer input matrix.   5.

Advanced Structural and Chemical Imaging

where l is a sigmoid function, one example of which is: l ( d ) = 1 1 + exp ( − ζd + θ ).

EURASIP Journal on Advances in Signal Processing

We described the result as a sigmoid function (Fig  3A, see Materials and Methods for details).

EMBO Journal

A few articles model user utility as a sigmoid function of instantaneous rate or bandwidth.

EURASIP Journal on Wireless Communications and Networking

The nonlinearity in MLP is implemented by a fixed function such as a sigmoid.

Procedia Engineering

To achieve this, we estimate the posterior probabilities as a sigmoid loss function using Platt calibration.

EURASIP Journal on Image and Video Processing

A common choice for the firing rate function is a bounded, monotonic function such as a sigmoid.

Cognitive Computation

Logical states represent a discrete approximation of a continuous reality, for example, a discrete approximation of the sigmoid curve dictated by the Hill equation used to describe both gene expression and enzyme activity.

BMC Systems Biology

Expert writing Tips

Best practice

When using "as a sigmoid for example", ensure the context clearly defines what the sigmoid function is being used to exemplify, such as an activation function or a curve shape.

Common error

Avoid using "as a sigmoid for example" without properly introducing the concept of a sigmoid function or clarifying what aspect of the sigmoid is being illustrated. This can lead to confusion if the reader is unfamiliar with the term.

Linguistic Context

The phrase "as a sigmoid for example" functions as an illustrative element, introducing a specific instance of a sigmoid function to clarify a broader concept or principle. According to Ludwig AI, it's grammatically correct and usable.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "as a sigmoid for example" is a grammatically sound phrase used to illustrate concepts with the specific instance of a sigmoid function. As Ludwig AI indicates, it is suitable for technical writing. The phrase is most commonly found in scientific contexts. When using this phrase, ensure you clearly define the role and properties of the sigmoid function within the context to enhance clarity and avoid potential misunderstandings. Consider alternative phrases like "such as a sigmoid function" for variety. Although grammatically correct the scarcity of instances classifies it as rare.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

like a sigmoid function as an illustration

Changes the structure by placing "as an illustration" at the end for emphasis.

such as a sigmoid, to illustrate

Reorders the phrase and uses "to illustrate" for a slightly different flow.

for instance, a sigmoid curve

Uses "for instance" instead of "for example" and specifies "sigmoid curve".

a sigmoid function as demonstration

Substitutes "example" with "demonstration" for a slightly more formal tone.

a sigmoid, by way of example

Replaces "for example" with the more formal "by way of example".

a sigmoid serving as an example

Changes the structure to emphasize the sigmoid's role as an example.

taking a sigmoid as a case in point

Replaces "for example" with "taking as a case in point", which is more emphatic.

as an illustration, consider a sigmoid

Directly introduces the sigmoid as an illustration.

imagine a sigmoid as a concrete example

Adds a visualization element ("imagine") to emphasize the concrete nature of the example.

a sigmoid acts as a representative example

Highlights the representative nature of the sigmoid example.

FAQs

How can I use "as a sigmoid for example" in a sentence?

You can use "as a sigmoid for example" when illustrating a concept or property that a sigmoid function possesses. For instance: "Activation functions, such "as a sigmoid", introduce non-linearity into neural networks."

What are some alternatives to "as a sigmoid for example"?

Alternatives include "such as a sigmoid function", "for instance, a sigmoid curve", or "a sigmoid, by way of example". Each offers a slightly different emphasis while retaining the core meaning.

When is it appropriate to use "as a sigmoid for example"?

It's appropriate when you want to provide a sigmoid function as a specific instance or illustration of a more general concept, particularly in technical or scientific contexts.

Is "as a sigmoid for example" formal or informal?

The phrase is generally suitable for technical and scientific writing. More informal alternatives might be used in casual explanations, but "as a sigmoid for example" itself is neutral to slightly formal.