Search Results for author: Kyriakos Axiotis

Found 9 papers, 0 papers with code

Data-Efficient Learning via Clustering-Based Sensitivity Sampling: Foundation Models and Beyond

no code implementations27 Feb 2024 Kyriakos Axiotis, Vincent Cohen-Addad, Monika Henzinger, Sammy Jerome, Vahab Mirrokni, David Saulpic, David Woodruff, Michael Wunder

We study the data selection problem, whose aim is to select a small representative subset of data that can be used to efficiently train a machine learning model.

Clustering

Greedy PIG: Adaptive Integrated Gradients

no code implementations10 Nov 2023 Kyriakos Axiotis, Sami Abu-al-haija, Lin Chen, Matthew Fahrbach, Gang Fu

We demonstrate the success of Greedy PIG on a wide variety of tasks, including image feature attribution, graph compression/explanation, and post-hoc feature selection on tabular data.

feature selection

Performance of $\ell_1$ Regularization for Sparse Convex Optimization

no code implementations14 Jul 2023 Kyriakos Axiotis, Taisuke Yasuda

We give the first recovery guarantees for the Group LASSO for sparse convex optimization with vector-valued features.

feature selection

Gradient Descent Converges Linearly for Logistic Regression on Separable Data

no code implementations26 Jun 2023 Kyriakos Axiotis, Maxim Sviridenko

We show that running gradient descent with variable learning rate guarantees loss $f(x) \leq 1. 1 \cdot f(x^*) + \epsilon$ for the logistic regression objective, where the error $\epsilon$ decays exponentially with the number of iterations and polynomially with the magnitude of the entries of an arbitrary fixed solution $x^*$.

regression

Iterative Hard Thresholding with Adaptive Regularization: Sparser Solutions Without Sacrificing Runtime

no code implementations11 Apr 2022 Kyriakos Axiotis, Maxim Sviridenko

We propose a simple modification to the iterative hard thresholding (IHT) algorithm, which recovers asymptotically sparser solutions as a function of the condition number.

Decomposable Submodular Function Minimization via Maximum Flow

no code implementations5 Mar 2021 Kyriakos Axiotis, Adam Karczmarz, Anish Mukherjee, Piotr Sankowski, Adrian Vladu

This paper bridges discrete and continuous optimization approaches for decomposable submodular function minimization, in both the standard and parametric settings.

Local Search Algorithms for Rank-Constrained Convex Optimization

no code implementations ICLR 2021 Kyriakos Axiotis, Maxim Sviridenko

We propose greedy and local search algorithms for rank-constrained convex optimization, namely solving $\underset{\mathrm{rank}(A)\leq r^*}{\min}\, R(A)$ given a convex function $R:\mathbb{R}^{m\times n}\rightarrow \mathbb{R}$ and a parameter $r^*$.

Matrix Completion

Sparse Convex Optimization via Adaptively Regularized Hard Thresholding

no code implementations ICML 2020 Kyriakos Axiotis, Maxim Sviridenko

We present a new Adaptively Regularized Hard Thresholding (ARHT) algorithm that makes significant progress on this problem by bringing the bound down to $\gamma=O(\kappa)$, which has been shown to be tight for a general class of algorithms including LASSO, OMP, and IHT.

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