most citedCost-Driven Representation Learning for Linear Quadratic Gaussian Control: Part I

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math.OC2026

Free Heavy-Tailed Lunch for Muon: A Theoretical Justification of Empirical Success

Florian Hübler, Thomas Pethick, Suvrit Sra

Non-Euclidean optimisation methods with matrix-valued updates, such as Muon and Scion, have recently shown strong empirical performance for training Transformer models, yet their t…

math.OC2026

The Multi-Block DC Function Class: Theory, Algorithms, and Applications

Pouria Fatemi, Hoomaan Maskan, Alp Yurtsever +1

We present the Multi-Block DC (BDC) class, a rich class of structured nonconvex functions that admit a DC ("difference-of-convex") decomposition across parameter blocks. This multi…

math.OC2025

Revisiting Frank-Wolfe for Structured Nonconvex Optimization

Hoomaan Maskan, Yikun Hou, Suvrit Sra +1

We introduce a new projection-free (Frank-Wolfe) method for optimizing structured nonconvex functions that are expressed as a difference of two convex functions. This problem class…

math.OC2025

Randomized Block Coordinate DC Programming

Hoomaan Maskan, Paniz Halvachi, Suvrit Sra +1

We introduce an extension of the Difference of Convex Algorithm (DCA) in the form of a randomized block coordinate approach for problems with separable structure. For coordinat…

math.OC2025

Improved Rates for Stochastic Variance-Reduced Difference-of-Convex Algorithms

Anh Duc Nguyen, Alp Yurtsever, Suvrit Sra +1

In this work, we propose and analyze DCA-PAGE, a novel algorithm that integrates the difference-of-convex algorithm (DCA) with the ProbAbilistic Gradient Estimator (PAGE) to solve…

math.OC2025

Linearly Convergent Algorithms for Nonsmooth Problems with Unknown Smooth Pieces

Zhe Zhang, Suvrit Sra

We develop efficient algorithms for optimizing piecewise smooth (PWS) functions where the underlying partition of the domain into smooth pieces is \emph{unknown}. For PWS functions…