Timezone: »
We investigate the problem of active learning in the streaming setting in non-parametric regimes, where the labels are stochastically generated from a class of functions on which we make no assumptions whatsoever. We rely on recently proposed Neural Tangent Kernel (NTK) approximation tools to construct a suitable neural embedding that determines the feature space the algorithm operates on and the learned model computed atop. Since the shape of the label requesting threshold is tightly related to the complexity of the function to be learned, which is a-priori unknown, we also derive a version of the algorithm which is agnostic to any prior knowledge. This algorithm relies on a regret balancing scheme to solve the resulting online model selection problem, and is computationally efficient. We prove joint guarantees on the cumulative regret and number of requested labels which depend on the complexity of the labeling function at hand. In the linear case, these guarantees recover known minimax results of the generalization error as a function of the label complexity in a standard statistical learning setting.
Author Information
Zhilei Wang (NYU Courant)
Pranjal Awasthi (Google)
Christoph Dann (Google Research)
Ayush Sekhari (Cornell University)
Claudio Gentile (Google Research)
More from the Same Authors
-
2021 Spotlight: Agnostic Reinforcement Learning with Low-Rank MDPs and Rich Observations »
Ayush Sekhari · Christoph Dann · Mehryar Mohri · Yishay Mansour · Karthik Sridharan -
2021 Spotlight: On the Existence of The Adversarial Bayes Classifier »
Pranjal Awasthi · Natalie Frank · Mehryar Mohri -
2021 Spotlight: Beyond Value-Function Gaps: Improved Instance-Dependent Regret Bounds for Episodic Reinforcement Learning »
Christoph Dann · Teodor Vanislavov Marinov · Mehryar Mohri · Julian Zimmert -
2021 Spotlight: Online Active Learning with Surrogate Loss Functions »
Giulia DeSalvo · Claudio Gentile · Tobias Sommer Thune -
2021 Spotlight: Calibration and Consistency of Adversarial Surrogate Losses »
Pranjal Awasthi · Natalie Frank · Anqi Mao · Mehryar Mohri · Yutao Zhong -
2022 : A Theory of Learning with Competing Objectives and User Feedback »
Pranjal Awasthi · Corinna Cortes · Yishay Mansour · Mehryar Mohri -
2022 : Theory and Algorithm for Batch Distribution Drift Problems »
Pranjal Awasthi · Corinna Cortes · Christopher Mohri -
2022 : A Theory of Learning with Competing Objectives and User Feedback »
Pranjal Awasthi · Corinna Cortes · Yishay Mansour · Mehryar Mohri -
2022 : A Theory of Learning with Competing Objectives and User Feedback »
Pranjal Awasthi · Corinna Cortes · Yishay Mansour · Mehryar Mohri -
2022 Poster: On the Adversarial Robustness of Mixture of Experts »
Joan Puigcerver · Rodolphe Jenatton · Carlos Riquelme · Pranjal Awasthi · Srinadh Bhojanapalli -
2022 Poster: Trimmed Maximum Likelihood Estimation for Robust Generalized Linear Model »
Pranjal Awasthi · Abhimanyu Das · Weihao Kong · Rajat Sen -
2022 Poster: Best of Both Worlds Model Selection »
Aldo Pacchiano · Christoph Dann · Claudio Gentile -
2022 Poster: Multi-Class $H$-Consistency Bounds »
Pranjal Awasthi · Anqi Mao · Mehryar Mohri · Yutao Zhong -
2022 Poster: Regret Bounds for Multilabel Classification in Sparse Label Regimes »
RĂ³bert Busa-Fekete · Heejin Choi · Krzysztof Dembczynski · Claudio Gentile · Henry Reeve · Balazs Szorenyi -
2022 Poster: Semi-supervised Active Linear Regression »
Nived Rajaraman · Fnu Devvrit · Pranjal Awasthi -
2021 Poster: SGD: The Role of Implicit Regularization, Batch-size and Multiple-epochs »
Ayush Sekhari · Karthik Sridharan · Satyen Kale -
2021 Poster: Batch Active Learning at Scale »
Gui Citovsky · Giulia DeSalvo · Claudio Gentile · Lazaros Karydas · Anand Rajagopalan · Afshin Rostamizadeh · Sanjiv Kumar -
2021 Poster: A Provably Efficient Model-Free Posterior Sampling Method for Episodic Reinforcement Learning »
Christoph Dann · Mehryar Mohri · Tong Zhang · Julian Zimmert -
2021 Poster: On the Existence of The Adversarial Bayes Classifier »
Pranjal Awasthi · Natalie Frank · Mehryar Mohri -
2021 Poster: Beyond Value-Function Gaps: Improved Instance-Dependent Regret Bounds for Episodic Reinforcement Learning »
Christoph Dann · Teodor Vanislavov Marinov · Mehryar Mohri · Julian Zimmert -
2021 Poster: Online Active Learning with Surrogate Loss Functions »
Giulia DeSalvo · Claudio Gentile · Tobias Sommer Thune -
2021 Poster: Efficient Algorithms for Learning Depth-2 Neural Networks with General ReLU Activations »
Pranjal Awasthi · Alex Tang · Aravindan Vijayaraghavan -
2021 Poster: Agnostic Reinforcement Learning with Low-Rank MDPs and Rich Observations »
Ayush Sekhari · Christoph Dann · Mehryar Mohri · Yishay Mansour · Karthik Sridharan -
2021 Poster: A Convergence Analysis of Gradient Descent on Graph Neural Networks »
Pranjal Awasthi · Abhimanyu Das · Sreenivas Gollapudi -
2021 Poster: Remember What You Want to Forget: Algorithms for Machine Unlearning »
Ayush Sekhari · Jayadev Acharya · Gautam Kamath · Ananda Theertha Suresh -
2021 Poster: Calibration and Consistency of Adversarial Surrogate Losses »
Pranjal Awasthi · Natalie Frank · Anqi Mao · Mehryar Mohri · Yutao Zhong -
2020 Poster: Reinforcement Learning with Feedback Graphs »
Christoph Dann · Yishay Mansour · Mehryar Mohri · Ayush Sekhari · Karthik Sridharan -
2019 Poster: Flattening a Hierarchical Clustering through Active Learning »
Fabio Vitale · Anand Rajagopalan · Claudio Gentile -
2018 Poster: Online Reciprocal Recommendation with Theoretical Performance Guarantees »
Claudio Gentile · Nikos Parotsidis · Fabio Vitale -
2018 Poster: On Oracle-Efficient PAC RL with Rich Observations »
Christoph Dann · Nan Jiang · Akshay Krishnamurthy · Alekh Agarwal · John Langford · Robert Schapire -
2018 Poster: Uniform Convergence of Gradients for Non-Convex Learning and Optimization »
Dylan Foster · Ayush Sekhari · Karthik Sridharan -
2018 Spotlight: On Oracle-Efficient PAC RL with Rich Observations »
Christoph Dann · Nan Jiang · Akshay Krishnamurthy · Alekh Agarwal · John Langford · Robert Schapire -
2017 Poster: Unifying PAC and Regret: Uniform PAC Bounds for Episodic Reinforcement Learning »
Christoph Dann · Tor Lattimore · Emma Brunskill -
2017 Spotlight: Unifying PAC and Regret: Uniform PAC Bounds for Episodic Reinforcement Learning »
Christoph Dann · Tor Lattimore · Emma Brunskill -
2016 Poster: (Withdrawn)Only H is left: Near-tight Episodic PAC RL »
Christoph Dann · Emma Brunskill -
2015 Poster: Sample Complexity of Episodic Fixed-Horizon Reinforcement Learning »
Christoph Dann · Emma Brunskill -
2015 Poster: The Human Kernel »
Andrew Wilson · Christoph Dann · Chris Lucas · Eric Xing -
2015 Spotlight: The Human Kernel »
Andrew Wilson · Christoph Dann · Chris Lucas · Eric Xing