4 citations · 9 across the 6 of their papers we have counts for
6 papers
The Impact of Reinitialization on Generalization in Convolutional Neural Networks
Ibrahim Alabdulmohsin, Hartmut Maennel, Daniel Keysers
Recent results suggest that reinitializing a subset of the parameters of a neural network during training can improve generalization, particularly for small training sets. We study…
A Generalized Lottery Ticket Hypothesis
Ibrahim Alabdulmohsin, Larisa Markeeva, Daniel Keysers +1
We introduce a generalization to the lottery ticket hypothesis in which the notion of "sparsity" is relaxed by choosing an arbitrary basis in the space of parameters. We present ev…
A Generalization of Classical Formulas in Numerical Integration and Series Convergence Acceleration
Ibrahim Alabdulmohsin
Summation formulas, such as the Euler-Maclaurin expansion or Gregory's quadrature, have found many applications in mathematics, ranging from accelerating series, to evaluating frac…
Fractional Parts and their Relations to the Values of the Riemann Zeta Function
Ibrahim Alabdulmohsin
A well-known result, due to Dirichlet and later generalized by de la Vallee-Poussin, expresses a relationship between the sum of fractional parts and the Euler-Mascheroni constant.…
Uniform Generalization, Concentration, and Adaptive Learning
Ibrahim Alabdulmohsin
One fundamental goal in any learning algorithm is to mitigate its risk for overfitting. Mathematically, this requires that the learning algorithm enjoys a small generalization risk…
A Mathematical Theory of Learning
Ibrahim Alabdulmohsin
In this paper, a mathematical theory of learning is proposed that has many parallels with information theory. We consider Vapnik's General Setting of Learning in which the learning…