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Initial Placement for Fruchterman--Reingold Force Model With Coordinate Newton Direction
Hiroki Hamaguchi, Naoki Marumo, Akiko Takeda
The Fruchterman--Reingold (FR) force model is widely used in force-directed graph drawing, and multilevel approaches such as sfdp in Graphviz scale these methods effectively. A cru…
Heavy-ball Differential Equation Achieves Convergence for Nonconvex Functions
Kaito Okamura, Naoki Marumo, Akiko Takeda
First-order optimization methods for nonconvex functions with Lipschitz continuous gradient and Hessian have been extensively studied. State-of-the-art methods for finding an $\var…
Prediction-Correction Algorithm for Time-Varying Smooth Non-Convex Optimization
Hidenori Iwakiri, Tomoya Kamijima, Shinji Ito +1
Time-varying optimization problems are prevalent in various engineering fields, and the ability to solve them accurately in real-time is becoming increasingly important. The predic…