\( \def\vepsi{\varepsilon} \def\bold#1{{\bf #1}} \) \( \def\Hcal{{\mathcal{H}}} \def\bold#1{{\bf #1}} \) \( \def\RR{{\bf R}} \def\bold#1{{\bf #1}} \) \( \def\LL{{\bf L}} \def\bold#1{{\bf #1}} \) \( \def\xv{{\bf x}} \def\bold#1{{\bf #1}} \) \( \def\uv{{\bf u}} \def\bold#1{{\bf #1}} \) \( \def\qv{{\bf q}} \def\bold#1{{\bf #1}} \) \( \def\vv{{\bf v}} \def\bold#1{{\bf #1}} \) \( \def\Xv{{\bf X}} \def\bold#1{{\bf #1}} \) \( \def\cv{{\bf c}} \def\bold#1{{\bf #1}} \) \( \def\gv{{\bf g}} \def\bold#1{{\bf #1}} \) \( \def\wv{{\bf w}} \def\bold#1{{\bf #1}} \) \( \def\Omegamat{{\bf \Omega}} \def\bold#1{{\bf #1}} \) \( \def\Smat{{\bf S}} \def\bold#1{{\bf #1}} \) \( \def\Pmat{{\bf P}} \def\bold#1{{\bf #1}} \) \( \def\Hmat{{\bf H}} \def\bold#1{{\bf #1}} \) \( \def\Imat{{\bf I}} \def\bold#1{{\bf #1}} \) \( \def\Gmat{{\bf G}} \def\bold#1{{\bf #1}} \) \( \def\Gammamat{{\bf \Gamma}} \def\bold#1{{\bf #1}} \) \( \def\Qmat{{\bf Q}} \def\bold#1{{\bf #1}} \) \( \def\Rmat{{\bf R}} \def\bold#1{{\bf #1}} \) \( \def\omegas{{\bf \omega^{\star}}} \def\bold#1{{\bf #1}} \) \( \def\hf{{\frac{1}{2}}} \) \( \def\nablau{\nabla_{\uv}^{2}} \def\bold#1{{\bf #1}} \) \( \def\nablav{\nabla_{\vv}^{2}} \def\bold#1{{\bf #1}} \) \( \def\nablaw{\nabla_{\wv}^{2}} \def\bold#1{{\bf #1}} \) \( \def\nablavv{\nabla_{\vv\vv}^{2}} \def\bold#1{{\bf #1}} \) \( \def\xbar{\overset{-}{\xv}} \def\bold#1{{\bf #1}} \) \( \def\ubar{\overset{-}{\uv}} \def\bold#1{{\bf #1}} \) \( \def\vbar{\overset{-}{\vv}} \def\bold#1{{\bf #1}} \)

MGDA Platform

Multiple Gradient Descent Algorithm for Multi Objective Differentiable Optimization.