Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Squashing activation functions in benchmark tests: towards eXplainable
  Artificial Intelligence using continuous-valued logic   Over the past few years, deep neural networks have shown excellent results in
multiple tasks, however, there is still an increasing need to address the
problem of interpretability to improve model transparency, performance, and
safety. Achieving eXplainable Artificial Intelligence (XAI) by combining neural
networks with continuous logic and multi-criteria decision-making tools is one
of the most promising ways to approach this problem: by this combination, the
black-box nature of neural models can be reduced. The continuous logic-based
neural model uses so-called Squashing activation functions, a parametric family
of functions that satisfy natural invariance requirements and contain rectified
linear units as a particular case. This work demonstrates the first benchmark
tests that measure the performance of Squashing functions in neural networks.
Three experiments were carried out to examine their usability and a comparison
with the most popular activation functions was made for five different network
types. The performance was determined by measuring the accuracy, loss, and time
per epoch. These experiments and the conducted benchmarks have proven that the
use of Squashing functions is possible and similar in performance to
conventional activation functions. Moreover, a further experiment was conducted
by implementing nilpotent logical gates to demonstrate how simple
classification tasks can be solved successfully and with high performance. The
results indicate that due to the embedded nilpotent logical operators and the
differentiability of the Squashing function, it is possible to solve
classification problems, where other commonly used activation functions fail.

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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
2
The categories of this paper are: math