Results 11 to 20 of about 631,257 (354)
Monotonicity of saddle maps [PDF]
Geometriae Dedicata, 2018 9 pages, 3 ...
Anton Petrunin, Stephan Stadler
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Saddle-to-saddle dynamics in diagonal linear networks* [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2023 Abstract In this paper we fully describe the trajectory of gradient flow over two-layer diagonal linear networks for the regression setting in the limit of vanishing initialisation. We show that the limiting flow successively jumps from a saddle of the training loss to another until reaching the minimum
Pesme, Scott, Flammarion, Nicolas
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SGD learning on neural networks: leap complexity and saddle-to-saddle dynamics [PDF]
Annual Conference Computational Learning Theory, 2023 We investigate the time complexity of SGD learning on fully-connected neural networks with isotropic data. We put forward a complexity measure -- the leap -- which measures how"hierarchical"target functions are.
E. Abbe +2 more
semanticscholar +1 more source
Electronic instabilities of kagome metals: Saddle points and Landau theory [PDF]
Physical review B, 2021 We study electronic instabilities of a kagomé metal with a Fermi energy close to saddle points at the hexagonal Brillouin zone face centers.
Ta-Ryeong Park, Mengxing Ye, L. Balents
semanticscholar +1 more source
Escaping Saddle Points for Effective Generalization on Class-Imbalanced Data [PDF]
Neural Information Processing Systems, 2022 Real-world datasets exhibit imbalances of varying types and degrees. Several techniques based on re-weighting and margin adjustment of loss are often used to enhance the performance of neural networks, particularly on minority classes.
Harsh Rangwani +3 more
semanticscholar +1 more source
Searching the solution landscape by generalized high-index saddle dynamics [PDF]
Science China Mathematics, 2020 We introduce a generalized numerical algorithm to construct the solution landscape, which is a pathway map consisting of all stationary points and their connections.
Jianyuan Yin, Bing Yu, Lei Zhang
semanticscholar +1 more source
Homoclinic saddle to saddle-focus transitions in 4D systems [PDF]
Nonlinearity, 2019 A saddle to saddle-focus homoclinic transition when the stable leading eigenspace is 3-dimensional (called the 3DL bifurcation) is analyzed. Here a pair of complex eigenvalues and a real eigenvalue exchange their position relative to the imaginary axis, giving rise to a 3-dimensional stable leading eigenspace.
Hil Gaétan Ellart Meijer +3 more
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Engineering Applications of Computational Fluid Mechanics, 2022 Most mixed-flow pumps obtain a saddle-like Q-P curve with a backflow, owing to the increased incidence angle at low flow rates. The backflow was developed near the shroud and followed downstream again at its end to form a recirculating flow. The rotating
Yong-In Kim +3 more
doaj +1 more source
Journal of High Energy Physics, 2022 Abstract We find a new on-shell replica wormhole in a computation of the generating functional of JT gravity coupled to matter. We show that this saddle has lower action than the disconnected one, and that it is stable under restriction to real Lorentzian sections, but can be unstable otherwise.
Venkatesa Chandrasekaran +3 more
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Holonomy saddles and supersymmetry [PDF]
Physical Review D, 2018 66 pages; comments and references added, typos ...
Hwang, Chiung, Lee, Sungjay, Yi, Piljin
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