Two slides show how Frank-Wolfe approximates the constraint intersection in BroxGD

peter_richtarik · x · 2026-11-05

Peter Richtarik explains with two slides how Frank-Wolfe (FW) relates to his recently rediscovered Broximal Gradient Descent (BroxGD): FW approximates BroxGD, which itself approximates the Broximal Point Method (BPM), a projection-free sister of proximal/projected gradient descent. The figure shows the approximate ball B̂(x,t)—X shrunk toward x to diameter t—always lies inside the ball B(x,t), touching the sphere at both ends of a diameter, which is how the constraint-ball intersection is approximated in FW.

Related event: KAUST's BroxGD Paper Clarifies Frank-Wolfe as Projection-Free Approximation(3 posts)→

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