no code implementations • 3 Oct 2022 • Ermis Soumalias, Behnoosh Zamanlooy, Jakob Weissteiner, Sven Seuken
We study the course allocation problem, where universities assign course schedules to students.
no code implementations • 24 Apr 2022 • Anastasis Kratsios, Behnoosh Zamanlooy
Our first main result transcribes this "structured" approximation problem into a universality problem.
no code implementations • ICLR 2022 • Anastasis Kratsios, Behnoosh Zamanlooy, Tianlin Liu, Ivan Dokmanić
Many practical problems need the output of a machine learning model to satisfy a set of constraints, $K$.
1 code implementation • 29 Oct 2020 • Anastasis Kratsios, Behnoosh Zamanlooy
Most stochastic gradient descent algorithms can optimize neural networks that are sub-differentiable in their parameters; however, this implies that the neural network's activation function must exhibit a degree of continuity which limits the neural network model's uniform approximation capacity to continuous functions.
2 code implementations • 24 Jun 2020 • Anastasis Kratsios, Behnoosh Zamanlooy
The transformed model class, denoted by $\mathscr{F}\text{-tope}$, is shown to be dense in $L^p_{\mu,\text{strict}}(\mathbb{R}^d,\mathbb{R}^D)$ which is a topological space whose elements are locally $p$-integrable functions and whose topology is much finer than usual norm topology on $L^p_{\mu}(\mathbb{R}^d,\mathbb{R}^D)$; here $\mu$ is any suitable $\sigma$-finite Borel measure $\mu$ on $\mathbb{R}^d$.