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From fully connected neural networks to convolutional neural networks, the learned parameters within a neural network have been primarily relegated to the linear parameters (e.g., convolutional filters). The non-linear functions (e.g.,…

Neural and Evolutionary Computing · Computer Science 2019-11-22 Andrew Hryniowski , Alexander Wong

We study the problem of learning general (i.e., not necessarily homogeneous) halfspaces under the Gaussian distribution on $R^d$ in the presence of some form of query access. In the classical pool-based active learning model, where the…

Machine Learning · Computer Science 2025-01-03 Ilias Diakonikolas , Daniel M. Kane , Mingchen Ma

Adversarial attacks represent a serious menace for learning algorithms and may compromise the security of future autonomous systems. A theorem by Khoury and Hadfield-Menell (KH), provides sufficient conditions to guarantee the robustness of…

Quantum Physics · Physics 2020-07-23 P. A. M. Casares , M. A. Martin-Delgado

Active learning comprises many varied techniques that engage students actively in the construction of their understanding. Because of this variation, different active learning techniques may be best suited to achieving different learning…

General Economics · Economics 2025-08-11 Sarah A. Jacobson , Luyao Zhang , Jiasheng Zhu

We introduce a general framework for active learning in regression problems. Our framework extends the standard setup by allowing for general types of data, rather than merely pointwise samples of the target function. This generalization…

Machine Learning · Computer Science 2023-12-11 Ben Adcock , Juan M. Cardenas , Nick Dexter

This paper investigates the approximation properties of deep neural networks with piecewise-polynomial activation functions. We derive the required depth, width, and sparsity of a deep neural network to approximate any H\"{o}lder smooth…

Numerical Analysis · Mathematics 2022-12-06 Denis Belomestny , Alexey Naumov , Nikita Puchkin , Sergey Samsonov

Reinforcement learning is about learning agent models that make the best sequential decisions in unknown environments. In an unknown environment, the agent needs to explore the environment while exploiting the collected information, which…

Machine Learning · Computer Science 2021-02-12 Hong Qian , Yang Yu

We consider the problem of learning an unknown ReLU network with respect to Gaussian inputs and obtain the first nontrivial results for networks of depth more than two. We give an algorithm whose running time is a fixed polynomial in the…

Machine Learning · Computer Science 2020-09-29 Sitan Chen , Adam R. Klivans , Raghu Meka

Active learning is a setting in which a student queries a teacher, through membership and equivalence queries, in order to learn a language. Performance on these algorithms is often measured in the number of queries required to learn a…

Formal Languages and Automata Theory · Computer Science 2021-04-27 Raphaël Berthon , Adrien Boiret , Guillermo A. Perez , Jean-François Raskin

It is known that there are classes of 2-CNFs requiring exponential size non-deterministic read-once branching programs to compute them. However, to the best of our knowledge, there are no superpolynomial lower bounds for branching programs…

Computational Complexity · Computer Science 2016-05-17 Igor Razgon

Active learning is an important technique to reduce the number of labeled examples in supervised learning. Active learning for binary classification has been well addressed in machine learning. However, active learning of the reject option…

Machine Learning · Computer Science 2020-04-03 Kulin Shah , Naresh Manwani

Model extraction attacks have renewed interest in the classic problem of learning neural networks from queries. In this work we give the first polynomial-time algorithm for learning arbitrary one hidden layer neural networks activations…

Machine Learning · Computer Science 2021-11-09 Sitan Chen , Adam R Klivans , Raghu Meka

The key to reconciling the polynomial-time intractability of many machine learning tasks in the worst case with the surprising solvability of these tasks by heuristic algorithms in practice seems to be exploiting restrictions on real-world…

Machine Learning · Computer Science 2022-05-11 Todd Wareham

We explore the theoretical possibility of learning $d$-dimensional targets with $W$-parameter models by gradient flow (GF) when $W<d$. Our main result shows that if the targets are described by a particular $d$-dimensional probability…

Machine Learning · Statistics 2024-11-11 Dmitry Yarotsky

Sample complexity bounds are a common performance metric in the Reinforcement Learning literature. In the discounted cost, infinite horizon setting, all of the known bounds have a factor that is a polynomial in $1/(1-\gamma)$, where $\gamma…

Machine Learning · Computer Science 2020-07-09 Adithya M. Devraj , Sean P. Meyn

We give two results on PAC learning DNF formulas using membership queries in the challenging "distribution-free" learning framework, where learning algorithms must succeed for an arbitrary and unknown distribution over $\{0,1\}^n$. (1) We…

Data Structures and Algorithms · Computer Science 2025-05-27 Josh Alman , Shivam Nadimpalli , Shyamal Patel , Rocco A. Servedio

Active learning is a practical field of machine learning that automates the process of selecting which data to label. Current methods are effective in reducing the burden of data labeling but are heavily model-reliant. This has led to the…

Machine Learning · Computer Science 2023-03-01 Sai Prathyush Katragadda , Tyler Cody , Peter Beling , Laura Freeman

Deep active inference has been proposed as a scalable approach to perception and action that deals with large policy and state spaces. However, current models are limited to fully observable domains. In this paper, we describe a deep active…

Machine Learning · Computer Science 2021-02-08 Otto van der Himst , Pablo Lanillos

Activation functions (AFs) are an important part of the design of neural networks (NNs), and their choice plays a predominant role in the performance of a NN. In this work, we are particularly interested in the estimation of flexible…

Machine Learning · Computer Science 2021-06-28 Yassine Zniyed , Konstantin Usevich , Sebastian Miron , David Brie

When we can not assume a large amount of annotated data , active learning is a good strategy. It consists in learning a model on a small amount of annotated data (annotation budget) and in choosing the best set of points to annotate in…

Computer Vision and Pattern Recognition · Computer Science 2022-01-19 Umang Aggarwal , Adrian Popescu , Céline Hudelot