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EEMLA..bbl
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EEMLA..bbl
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EEMLA..blg
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EEMLA..blg
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[0] Config.pm:307> INFO - This is Biber 2.19
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[0] Config.pm:310> INFO - Logfile is 'EEMLA..blg'
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[40] biber:340> INFO - === Fri Feb 28, 2025, 01:01:10
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[87] Utils.pm:410> ERROR - Cannot find 'EEMLA..bcf'!
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[87] Biber.pm:136> INFO - ERRORS: 1
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EEMLA.aux
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EEMLA.aux
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\relax
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\abx@aux@refcontext{nty/global//global/global}
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\abx@aux@cite{0}{app14020744}
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\abx@aux@segm{0}{0}{app14020744}
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\abx@aux@read@bbl@mdfivesum{AEE4F911165DE78F7C9D7634D26F9914}
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\abx@aux@defaultrefcontext{0}{app14020744}{nty/global//global/global}
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\gdef \@abspage@last{2}
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EEMLA.bbl
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EEMLA.bbl
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% $ biblatex auxiliary file $
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% $ biblatex bbl format version 3.2 $
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% Do not modify the above lines!
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%
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% This is an auxiliary file used by the 'biblatex' package.
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% This file may safely be deleted. It will be recreated by
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% biber as required.
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%
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\begingroup
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\makeatletter
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\@ifundefined{ver@biblatex.sty}
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{\@latex@error
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{Missing 'biblatex' package}
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{The bibliography requires the 'biblatex' package.}
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\aftergroup\endinput}
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{}
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\endgroup
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\refsection{0}
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\datalist[entry]{nty/global//global/global}
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\entry{app14020744}{article}{}
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\name{author}{1}{}{%
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{{un=0,uniquepart=base,hash=d8c43e5429158fe51408ffa847a4a856}{%
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family={Testolin},
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familyi={T\bibinitperiod},
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given={Alberto},
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giveni={A\bibinitperiod},
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givenun=0}}%
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}
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\strng{namehash}{d8c43e5429158fe51408ffa847a4a856}
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\strng{fullhash}{d8c43e5429158fe51408ffa847a4a856}
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\strng{bibnamehash}{d8c43e5429158fe51408ffa847a4a856}
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\strng{authorbibnamehash}{d8c43e5429158fe51408ffa847a4a856}
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\strng{authornamehash}{d8c43e5429158fe51408ffa847a4a856}
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\strng{authorfullhash}{d8c43e5429158fe51408ffa847a4a856}
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\field{sortinit}{T}
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\field{sortinithash}{9af77f0292593c26bde9a56e688eaee9}
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\true{singletitle}
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\field{labelnamesource}{author}
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\field{labeltitlesource}{title}
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\field{abstract}{Creating learning models that can exhibit sophisticated reasoning abilities is one of the greatest challenges in deep learning research, and mathematics is rapidly becoming one of the target domains for assessing scientific progress in this direction. In the past few years there has been an explosion of neural network architectures, datasets, and benchmarks specifically designed to tackle mathematical problems, reporting impressive achievements in disparate fields such as automated theorem proving, numerical integration, and the discovery of new conjectures or matrix multiplication algorithms. However, despite this notable success it is still unclear whether deep learning models possess an elementary understanding of quantities and numbers. This survey critically examines the recent literature, concluding that even state-of-the-art architectures and large language models often fall short when probed with relatively simple tasks designed to test basic numerical and arithmetic knowledge.}
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\field{issn}{2076-3417}
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\field{journaltitle}{Applied Sciences}
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\field{number}{2}
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\field{title}{Can Neural Networks Do Arithmetic? A Survey on the Elementary Numerical Skills of State-of-the-Art Deep Learning Models}
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\field{volume}{14}
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\field{year}{2024}
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\verb{doi}
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\verb 10.3390/app14020744
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\endverb
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\endentry
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\enddatalist
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\endrefsection
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\endinput
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EEMLA.bbl-SAVE-ERROR
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EEMLA.bbl-SAVE-ERROR
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EEMLA.bcf-SAVE-ERROR
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EEMLA.bcf-SAVE-ERROR
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EEMLA.blg
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EEMLA.blg
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[0] Config.pm:307> INFO - This is Biber 2.19
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[0] Config.pm:310> INFO - Logfile is 'EEMLA.blg'
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[37] biber:340> INFO - === Fri Feb 28, 2025, 01:10:48
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[45] Biber.pm:419> INFO - Reading 'EEMLA.bcf'
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[79] Biber.pm:979> INFO - Found 1 citekeys in bib section 0
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[86] Biber.pm:4419> INFO - Processing section 0
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[93] Biber.pm:4610> INFO - Looking for bibtex file 'references.bib' for section 0
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[93] bibtex.pm:1713> INFO - LaTeX decoding ...
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[94] bibtex.pm:1519> INFO - Found BibTeX data source 'references.bib'
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[112] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'variable = shifted' with 'variable = non-ignorable'
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[112] UCollate.pm:68> INFO - Overriding locale 'en-US' defaults 'normalization = NFD' with 'normalization = prenormalized'
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[112] Biber.pm:4239> INFO - Sorting list 'nty/global//global/global' of type 'entry' with template 'nty' and locale 'en-US'
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[112] Biber.pm:4245> INFO - No sort tailoring available for locale 'en-US'
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[113] bbl.pm:660> INFO - Writing 'EEMLA.bbl' with encoding 'UTF-8'
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[113] bbl.pm:763> INFO - Output to EEMLA.bbl
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EEMLA.fdb_latexmk
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EEMLA.fdb_latexmk
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# Fdb version 4
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["biber EEMLA"] 1740726648.62462 "EEMLA.bcf" "EEMLA.bbl" "EEMLA" 1740727159.44349 0
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(generated)
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"EEMLA.bbl"
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"EEMLA.blg"
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(rewritten before read)
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"EEMLA.log"
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"EEMLA.run.xml"
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(rewritten before read)
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EEMLA.fls
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PWD /mnt/ee-work
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INPUT /usr/share/texmf-dist/web2c/texmf.cnf
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INPUT /var/lib/texmf/web2c/pdftex/pdflatex.fmt
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INPUT EEMLA.tex
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
<internal package="biblatex" priority="9" active="0">
|
||||
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||||
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||||
<file>EEMLA.bcf</file>
|
||||
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||||
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|
||||
<file>EEMLA.bbl</file>
|
||||
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||||
<requires type="static">
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||||
<file>blx-dm.def</file>
|
||||
<file>mla.dbx</file>
|
||||
<file>blx-compat.def</file>
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||||
<file>biblatex.def</file>
|
||||
<file>standard.bbx</file>
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||||
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||||
<file>mla.bbx</file>
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||||
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BIN
EEMLA.synctex.gz
Normal file
BIN
EEMLA.synctex.gz
Normal file
Binary file not shown.
96
EEMLA.tex
Normal file
96
EEMLA.tex
Normal file
@@ -0,0 +1,96 @@
|
||||
\documentclass[12pt]{article}
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||||
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||||
%
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%Rotating tables (e.g. sideways when too long)
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%Fancy-header package to modify header/page numbering (insert last name)
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\pagestyle{fancy}
|
||||
\lhead{}
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||||
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|
||||
\rhead{Ayyalasomayajula \thepage}
|
||||
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|
||||
\rfoot{}
|
||||
\renewcommand{\headrulewidth}{0pt}
|
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%To make sure we actually have header 0.5in away from top edge
|
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%12pt is one-sixth of an inch. Subtract this from 0.5in to get headsep value
|
||||
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|
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|
||||
%
|
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%Works cited environment
|
||||
%(to start, use \begin{workscited...}, each entry preceded by \bibent)
|
||||
% - from Ryan Alcock's MLA style file
|
||||
%
|
||||
\newcommand{\bibent}{\noindent \hangindent 40pt}
|
||||
\newenvironment{workscited}{\newpage \begin{center} Works Cited \end{center}}{\newpage }
|
||||
|
||||
\addbibresource{references.bib}
|
||||
%
|
||||
%Begin document
|
||||
%
|
||||
\def\refname{}
|
||||
|
||||
\begin{document}
|
||||
\begin{flushleft}
|
||||
|
||||
%%%%First page name, class, etc
|
||||
Krishna Ayyalasomayajula\\
|
||||
Ms. Horton\\
|
||||
IB Extended Essay\\
|
||||
February 28 2025\\
|
||||
|
||||
|
||||
%%%%Title
|
||||
\begin{center}
|
||||
\vspace{1em}
|
||||
Rule-based Tensor Mutations Embedded within LLMs for Low-Cost Mathematical Comptuation
|
||||
\end{center}
|
||||
|
||||
|
||||
%%%%Changes paragraph indentation to 0.5in
|
||||
\setlength{\parindent}{0.5in}
|
||||
%%%%Begin body of paper here
|
||||
|
||||
{\raggedright \normalsize \textbf{Introduction}}
|
||||
|
||||
Artificial Intelligence (AI) has surged in popularity and capability in recent years, leading to immense developments and investments into the technology. AI, since its modern inception, has been based on a Multi-Layer Perceptron (MLP), with the underlying structure being a Neural Network (NN) \parencite[1]{app14020744}. An MLP is a type of artificial neural network (ANN) that consists of a layering of neurons computed through the vector multiplication of weights and biases, resulting in propagation to a set of values that represents the states of the next layer. This structure, called a neural network is a computational model inspired by the human brain, borrowing from its chaining of neurons to create complex understanding from basic electrical impulses. The below expression details the computational process involved in evaluating progressive layers of neurons in a neural network.
|
||||
|
||||
\[
|
||||
\vec{y} = f\Bigl( \Bigl[ \sum_{j=1}^{n} w_{1j}x_j + b_1,\;\sum_{j=1}^{n} w_{2j}x_j + b_2,\;\ldots,\;\sum_{j=1}^{n} w_{mj}x_j + b_m \Bigr]^T \Bigr)
|
||||
\]
|
||||
|
||||
|
||||
|
||||
%%%%Works cited
|
||||
\newpage
|
||||
\begin{center}
|
||||
\textbf{Works Cited}
|
||||
|
||||
\end{center}
|
||||
|
||||
\printbibliography[heading=none]
|
||||
%\printbiblist
|
||||
\end{flushleft}
|
||||
\end{document}
|
||||
\}
|
||||
18
references.bib
Normal file
18
references.bib
Normal file
@@ -0,0 +1,18 @@
|
||||
|
||||
@Article{app14020744,
|
||||
AUTHOR = {Testolin, Alberto},
|
||||
TITLE = {Can Neural Networks Do Arithmetic? A Survey on the Elementary Numerical Skills of State-of-the-Art Deep Learning Models},
|
||||
JOURNAL = {Applied Sciences},
|
||||
VOLUME = {14},
|
||||
YEAR = {2024},
|
||||
NUMBER = {2},
|
||||
ARTICLE-NUMBER = {744},
|
||||
URL = {https://www.mdpi.com/2076-3417/14/2/744},
|
||||
ISSN = {2076-3417},
|
||||
ABSTRACT = {Creating learning models that can exhibit sophisticated reasoning abilities is one of the greatest challenges in deep learning research, and mathematics is rapidly becoming one of the target domains for assessing scientific progress in this direction. In the past few years there has been an explosion of neural network architectures, datasets, and benchmarks specifically designed to tackle mathematical problems, reporting impressive achievements in disparate fields such as automated theorem proving, numerical integration, and the discovery of new conjectures or matrix multiplication algorithms. However, despite this notable success it is still unclear whether deep learning models possess an elementary understanding of quantities and numbers. This survey critically examines the recent literature, concluding that even state-of-the-art architectures and large language models often fall short when probed with relatively simple tasks designed to test basic numerical and arithmetic knowledge.},
|
||||
DOI = {10.3390/app14020744}
|
||||
}
|
||||
|
||||
|
||||
|
||||
|
||||
Reference in New Issue
Block a user