
CapillaryNet: An Automated System to Analyze Microcirculation Videos from Handheld Vital Microscopy
Capillaries are the smallest vessels in the body responsible for the del...
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Unconstrained optimisation on Riemannian manifolds
In this paper, we give explicit descriptions of versions of (Local) Bac...
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Asymptotic behaviour of learning rates in Armijo's condition
Fix a constant 0<α <1. For a C^1 function f:ℝ^k→ℝ, a point x and a posit...
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A modification of quasiNewton's methods helping to avoid saddle points
We recall that if A is an invertible and symmetric real m× m matrix, the...
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Coordinatewise Armijo's condition: General case
Let z=(x,y) be coordinates for the product space R^m_1×R^m_2. Let f:R^m_...
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Some convergent results for Backtracking Gradient Descent method on Banach spaces
Our main result concerns the following condition: Condition C. Let X ...
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Backtracking Gradient Descent allowing unbounded learning rates
In unconstrained optimisation on an Euclidean space, to prove convergenc...
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Coordinatewise Armijo's condition
Let z=(x,y) be coordinates for the product space R^m_1×R^m_2. Let f:R^m_...
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Convergence to minima for the continuous version of Backtracking Gradient Descent
The main result of this paper is: Theorem. Let f:R^k→R be a C^1 funct...
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Tuyen Trung Truong
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