\documentclass{article}

%\usepackage[backend=biber]{biblatex}
\usepackage[backend=biber, sorting=nymdt]{biblatex}  %backend=biber is 'better'  
\addbibresource{bibliography.bib} % Specify the bibliography file to include publications


\DeclareSortingTemplate{nymdt}{
  \sort{
    \field{presort}
  }
  \sort[direction=descending]{
    \field{sortyear}
    \field{year}
    \literal{9999}
  }
  \sort[direction=descending]{
    \field[padside=left,padwidth=2,padchar=0]{month}
    \literal{99}
  }
  \sort[direction=descending]{
    \field[padside=left,padwidth=2,padchar=0]{day}
    \literal{99}
  }
  \sort{
    \field{sorttitle}
  }
  \sort[direction=descending]{
    \field[padside=left,padwidth=4,padchar=0]{volume}
    \literal{9999}
  }
}

\defbibfilter{papers}{
  type=article or
  type=inproceedings
}

\begin{document}
%\printbibsectionnoheader{inproceedings}{}
%\printbibsectionnoheader{article}{} % Print all articles from the bibliography
\DeclareFieldFormat{labelnumberwidth}{\mkbibbold{#1\adddot}~}
\setlength{\biblabelsep}{0pt}
\section*{Paul Lesur}
\subsection*{Publications}
%\bibliographystyle{unsrt}
  \begin{refsection}
    \nocite{*}
      %\printbibliography[type = inproceedings le, heading = none, title = {Peer-reviewed conferences/proceedings}]
      %\printbibliography[type = inproceedings, heading = none, title = {Peer-reviewed conferences/proceedings}]
      \printbibliography[filter = papers, heading = none]
      %\printbibliography[type = {article}, heading = none, title = {article in peer-reviewed journal}]
  \end{refsection}
\printbibliography
\end{document}