Timezone: »
Poster
More Supervision, Less Computation: Statistical-Computational Tradeoffs in Weakly Supervised Learning
Xinyang Yi · Zhaoran Wang · Zhuoran Yang · Constantine Caramanis · Han Liu
We consider the weakly supervised binary classification problem where the labels are randomly flipped with probability $1-\alpha$. Although there exist numerous algorithms for this problem, it remains theoretically unexplored how the statistical accuracies and computational efficiency of these algorithms depend on the degree of supervision, which is quantified by $\alpha$. In this paper, we characterize the effect of $\alpha$ by establishing the information-theoretic and computational boundaries, namely, the minimax-optimal statistical accuracy that can be achieved by all algorithms, and polynomial-time algorithms under an oracle computational model. For small $\alpha$, our result shows a gap between these two boundaries, which represents the computational price of achieving the information-theoretic boundary due to the lack of supervision. Interestingly, we also show that this gap narrows as $\alpha$ increases. In other words, having more supervision, i.e., more correct labels, not only improves the optimal statistical accuracy as expected, but also enhances the computational efficiency for achieving such accuracy.
Author Information
Xinyang Yi (UT Austin)
Zhaoran Wang (Princeton University)
Zhuoran Yang (Princeton University)
Constantine Caramanis (UT Austin)
Han Liu (Tencent AI Lab)
More from the Same Authors
-
2021 Spotlight: RL for Latent MDPs: Regret Guarantees and a Lower Bound »
Jeongyeol Kwon · Yonathan Efroni · Constantine Caramanis · Shie Mannor -
2021 : Reinforcement Learning in Reward-Mixing MDPs »
Jeongyeol Kwon · Yonathan Efroni · Constantine Caramanis · Shie Mannor -
2021 : GPU-Podracer: Scalable and Elastic Library for Cloud-Native Deep Reinforcement Learning »
Xiao-Yang Liu · Zhuoran Yang · Zhaoran Wang · Anwar Walid · Jian Guo · Michael Jordan -
2021 : Exponential Family Model-Based Reinforcement Learning via Score Matching »
Gene Li · Junbo Li · Nathan Srebro · Zhaoran Wang · Zhuoran Yang -
2023 Poster: Optimizing Solution-Samplers for Combinatorial Problems: The Landscape of Policy-Gradient Method »
Constantine Caramanis · Dimitris Fotakis · Alkis Kalavasis · Vasilis Kontonis · Christos Tzamos -
2023 Poster: Solving Inverse Problems Provably via Posterior Sampling with Latent Diffusion Models »
Litu Rout · Negin Raoof · Giannis Daras · Constantine Caramanis · Alex Dimakis · Sanjay Shakkottai -
2023 Poster: Logarithmic Bayes Regret Bounds »
Alexia Atsidakou · Branislav Kveton · Sumeet Katariya · Constantine Caramanis · Sujay Sanghavi -
2023 Oral: Optimizing Solution-Samplers for Combinatorial Problems: The Landscape of Policy-Gradient Method »
Constantine Caramanis · Dimitris Fotakis · Alkis Kalavasis · Vasilis Kontonis · Christos Tzamos -
2022 Poster: Tractable Optimality in Episodic Latent MABs »
Jeongyeol Kwon · Yonathan Efroni · Constantine Caramanis · Shie Mannor -
2022 Poster: Non-Stationary Bandits under Recharging Payoffs: Improved Planning with Sublinear Regret »
Orestis Papadigenopoulos · Constantine Caramanis · Sanjay Shakkottai -
2021 Poster: Pessimism Meets Invariance: Provably Efficient Offline Mean-Field Multi-Agent RL »
Minshuo Chen · Yan Li · Ethan Wang · Zhuoran Yang · Zhaoran Wang · Tuo Zhao -
2021 Poster: Exponential Bellman Equation and Improved Regret Bounds for Risk-Sensitive Reinforcement Learning »
Yingjie Fei · Zhuoran Yang · Yudong Chen · Zhaoran Wang -
2021 Poster: A Near-Optimal Algorithm for Stochastic Bilevel Optimization via Double-Momentum »
Prashant Khanduri · Siliang Zeng · Mingyi Hong · Hoi-To Wai · Zhaoran Wang · Zhuoran Yang -
2021 Poster: RL for Latent MDPs: Regret Guarantees and a Lower Bound »
Jeongyeol Kwon · Yonathan Efroni · Constantine Caramanis · Shie Mannor -
2021 Poster: BooVI: Provably Efficient Bootstrapped Value Iteration »
Boyi Liu · Qi Cai · Zhuoran Yang · Zhaoran Wang -
2021 Poster: Wasserstein Flow Meets Replicator Dynamics: A Mean-Field Analysis of Representation Learning in Actor-Critic »
Yufeng Zhang · Siyu Chen · Zhuoran Yang · Michael Jordan · Zhaoran Wang -
2021 Poster: Offline Constrained Multi-Objective Reinforcement Learning via Pessimistic Dual Value Iteration »
Runzhe Wu · Yufeng Zhang · Zhuoran Yang · Zhaoran Wang -
2021 Poster: Recurrent Submodular Welfare and Matroid Blocking Semi-Bandits »
Orestis Papadigenopoulos · Constantine Caramanis -
2021 Poster: Reinforcement Learning in Reward-Mixing MDPs »
Jeongyeol Kwon · Yonathan Efroni · Constantine Caramanis · Shie Mannor -
2021 Poster: Dynamic Bottleneck for Robust Self-Supervised Exploration »
Chenjia Bai · Lingxiao Wang · Lei Han · Animesh Garg · Jianye Hao · Peng Liu · Zhaoran Wang -
2021 Poster: Provably Efficient Causal Reinforcement Learning with Confounded Observational Data »
Lingxiao Wang · Zhuoran Yang · Zhaoran Wang -
2020 Poster: Second Order Optimality in Decentralized Non-Convex Optimization via Perturbed Gradient Tracking »
Isidoros Tziotis · Constantine Caramanis · Aryan Mokhtari -
2020 Poster: Mix and Match: An Optimistic Tree-Search Approach for Learning Models from Mixture Distributions »
Matthew Faw · Rajat Sen · Karthikeyan Shanmugam · Constantine Caramanis · Sanjay Shakkottai -
2020 Poster: Applications of Common Entropy for Causal Inference »
Murat Kocaoglu · Sanjay Shakkottai · Alex Dimakis · Constantine Caramanis · Sriram Vishwanath -
2020 Poster: Robust compressed sensing using generative models »
Ajil Jalal · Liu Liu · Alex Dimakis · Constantine Caramanis -
2019 : Poster Spotlight 2 »
Aaron Sidford · Mengdi Wang · Lin Yang · Yinyu Ye · Zuyue Fu · Zhuoran Yang · Yongxin Chen · Zhaoran Wang · Ofir Nachum · Bo Dai · Ilya Kostrikov · Dale Schuurmans · Ziyang Tang · Yihao Feng · Lihong Li · Denny Zhou · Qiang Liu · Rodrigo Toro Icarte · Ethan Waldie · Toryn Klassen · Rick Valenzano · Margarita Castro · Simon Du · Sham Kakade · Ruosong Wang · Minshuo Chen · Tianyi Liu · Xingguo Li · Zhaoran Wang · Tuo Zhao · Philip Amortila · Doina Precup · Prakash Panangaden · Marc Bellemare -
2019 : Poster and Coffee Break 1 »
Aaron Sidford · Aditya Mahajan · Alejandro Ribeiro · Alex Lewandowski · Ali H Sayed · Ambuj Tewari · Angelika Steger · Anima Anandkumar · Asier Mujika · Hilbert J Kappen · Bolei Zhou · Byron Boots · Chelsea Finn · Chen-Yu Wei · Chi Jin · Ching-An Cheng · Christina Yu · Clement Gehring · Craig Boutilier · Dahua Lin · Daniel McNamee · Daniel Russo · David Brandfonbrener · Denny Zhou · Devesh Jha · Diego Romeres · Doina Precup · Dominik Thalmeier · Eduard Gorbunov · Elad Hazan · Elena Smirnova · Elvis Dohmatob · Emma Brunskill · Enrique Munoz de Cote · Ethan Waldie · Florian Meier · Florian Schaefer · Ge Liu · Gergely Neu · Haim Kaplan · Hao Sun · Hengshuai Yao · Jalaj Bhandari · James A Preiss · Jayakumar Subramanian · Jiajin Li · Jieping Ye · Jimmy Smith · Joan Bas Serrano · Joan Bruna · John Langford · Jonathan Lee · Jose A. Arjona-Medina · Kaiqing Zhang · Karan Singh · Yuping Luo · Zafarali Ahmed · Zaiwei Chen · Zhaoran Wang · Zhizhong Li · Zhuoran Yang · Ziping Xu · Ziyang Tang · Yi Mao · David Brandfonbrener · Shirli Di-Castro · Riashat Islam · Zuyue Fu · Abhishek Naik · Saurabh Kumar · Benjamin Petit · Angeliki Kamoutsi · Simone Totaro · Arvind Raghunathan · Rui Wu · Donghwan Lee · Dongsheng Ding · Alec Koppel · Hao Sun · Christian Tjandraatmadja · Mahdi Karami · Jincheng Mei · Chenjun Xiao · Junfeng Wen · Zichen Zhang · Ross Goroshin · Mohammad Pezeshki · Jiaqi Zhai · Philip Amortila · Shuo Huang · Mariya Vasileva · El houcine Bergou · Adel Ahmadyan · Haoran Sun · Sheng Zhang · Lukas Gruber · Yuanhao Wang · Tetiana Parshakova -
2019 : Poster Session »
Jonathan Scarlett · Piotr Indyk · Ali Vakilian · Adrian Weller · Partha P Mitra · Benjamin Aubin · Bruno Loureiro · Florent Krzakala · Lenka Zdeborová · Kristina Monakhova · Joshua Yurtsever · Laura Waller · Hendrik Sommerhoff · Michael Moeller · Rushil Anirudh · Shuang Qiu · Xiaohan Wei · Zhuoran Yang · Jayaraman Thiagarajan · Salman Asif · Michael Gillhofer · Johannes Brandstetter · Sepp Hochreiter · Felix Petersen · Dhruv Patel · Assad Oberai · Akshay Kamath · Sushrut Karmalkar · Eric Price · Ali Ahmed · Zahra Kadkhodaie · Sreyas Mohan · Eero Simoncelli · Carlos Fernandez-Granda · Oscar Leong · Wesam Sakla · Rebecca Willett · Stephan Hoyer · Jascha Sohl-Dickstein · Sam Greydanus · Gauri Jagatap · Chinmay Hegde · Michael Kellman · Jonathan Tamir · Nouamane Laanait · Ousmane Dia · Mirco Ravanelli · Jonathan Binas · Negar Rostamzadeh · Shirin Jalali · Tiantian Fang · Alex Schwing · Sébastien Lachapelle · Philippe Brouillard · Tristan Deleu · Simon Lacoste-Julien · Stella Yu · Arya Mazumdar · Ankit Singh Rawat · Yue Zhao · Jianshu Chen · Xiaoyang Li · Hubert Ramsauer · Gabrio Rizzuti · Nikolaos Mitsakos · Dingzhou Cao · Thomas Strohmer · Yang Li · Pei Peng · Gregory Ongie -
2019 : Robust One-Bit Recovery via ReLU Generative Networks: Improved Statistical Rate and Global Landscape Analysis »
Shuang Qiu · Xiaohan Wei · Zhuoran Yang -
2019 Poster: Statistical-Computational Tradeoff in Single Index Models »
Lingxiao Wang · Zhuoran Yang · Zhaoran Wang -
2019 Poster: Provably Global Convergence of Actor-Critic: A Case for Linear Quadratic Regulator with Ergodic Cost »
Zhuoran Yang · Yongxin Chen · Mingyi Hong · Zhaoran Wang -
2019 Poster: Neural Proximal/Trust Region Policy Optimization Attains Globally Optimal Policy »
Boyi Liu · Qi Cai · Zhuoran Yang · Zhaoran Wang -
2019 Poster: Neural Temporal-Difference Learning Converges to Global Optima »
Qi Cai · Zhuoran Yang · Jason Lee · Zhaoran Wang -
2019 Poster: Primal-Dual Block Generalized Frank-Wolfe »
Qi Lei · JIACHENG ZHUO · Constantine Caramanis · Inderjit Dhillon · Alex Dimakis -
2019 Poster: Variance Reduced Policy Evaluation with Smooth Function Approximation »
Hoi-To Wai · Mingyi Hong · Zhuoran Yang · Zhaoran Wang · Kexin Tang -
2019 Poster: Policy Optimization Provably Converges to Nash Equilibria in Zero-Sum Linear Quadratic Games »
Kaiqing Zhang · Zhuoran Yang · Tamer Basar -
2019 Poster: Convergent Policy Optimization for Safe Reinforcement Learning »
Ming Yu · Zhuoran Yang · Mladen Kolar · Zhaoran Wang -
2018 Poster: Contrastive Learning from Pairwise Measurements »
Yi Chen · Zhuoran Yang · Yuchen Xie · Zhaoran Wang -
2018 Poster: Provable Gaussian Embedding with One Observation »
Ming Yu · Zhuoran Yang · Tuo Zhao · Mladen Kolar · Zhaoran Wang -
2018 Poster: Multi-Agent Reinforcement Learning via Double Averaging Primal-Dual Optimization »
Hoi-To Wai · Zhuoran Yang · Zhaoran Wang · Mingyi Hong -
2018 Poster: Exponentially Weighted Imitation Learning for Batched Historical Data »
Qing Wang · Jiechao Xiong · Lei Han · peng sun · Han Liu · Tong Zhang -
2017 Poster: Estimating High-dimensional Non-Gaussian Multiple Index Models via Stein’s Lemma »
Zhuoran Yang · Krishnakumar Balasubramanian · Zhaoran Wang · Han Liu -
2017 Poster: Parametric Simplex Method for Sparse Learning »
Haotian Pang · Han Liu · Robert J Vanderbei · Tuo Zhao -
2016 Workshop: Adaptive and Scalable Nonparametric Methods in Machine Learning »
Aaditya Ramdas · Arthur Gretton · Bharath Sriperumbudur · Han Liu · John Lafferty · Samory Kpotufe · Zoltán Szabó -
2016 Poster: Fast Algorithms for Robust PCA via Gradient Descent »
Xinyang Yi · Dohyung Park · Yudong Chen · Constantine Caramanis -
2016 Poster: NESTT: A Nonconvex Primal-Dual Splitting Method for Distributed and Stochastic Optimization »
Davood Hajinezhad · Mingyi Hong · Tuo Zhao · Zhaoran Wang -
2016 Poster: Agnostic Estimation for Misspecified Phase Retrieval Models »
Matey Neykov · Zhaoran Wang · Han Liu -
2016 Poster: Online ICA: Understanding Global Dynamics of Nonconvex Optimization via Diffusion Processes »
Chris Junchi Li · Zhaoran Wang · Han Liu -
2016 Poster: Blind Attacks on Machine Learners »
Alex Beatson · Zhaoran Wang · Han Liu -
2015 Poster: Optimal Linear Estimation under Unknown Nonlinear Transform »
Xinyang Yi · Zhaoran Wang · Constantine Caramanis · Han Liu -
2015 Poster: Non-convex Statistical Optimization for Sparse Tensor Graphical Model »
Wei Sun · Zhaoran Wang · Han Liu · Guang Cheng -
2015 Poster: Local Smoothness in Variance Reduced Optimization »
Daniel Vainsencher · Han Liu · Tong Zhang -
2015 Poster: High Dimensional EM Algorithm: Statistical Optimization and Asymptotic Normality »
Zhaoran Wang · Quanquan Gu · Yang Ning · Han Liu -
2015 Poster: Robust Portfolio Optimization »
Huitong Qiu · Fang Han · Han Liu · Brian Caffo -
2015 Poster: A Nonconvex Optimization Framework for Low Rank Matrix Estimation »
Tuo Zhao · Zhaoran Wang · Han Liu -
2015 Poster: Regularized EM Algorithms: A Unified Framework and Statistical Guarantees »
Xinyang Yi · Constantine Caramanis -
2014 Workshop: Modern Nonparametrics 3: Automating the Learning Pipeline »
Eric Xing · Mladen Kolar · Arthur Gretton · Samory Kpotufe · Han Liu · Zoltán Szabó · Alan Yuille · Andrew G Wilson · Ryan Tibshirani · Sasha Rakhlin · Damian Kozbur · Bharath Sriperumbudur · David Lopez-Paz · Kirthevasan Kandasamy · Francesco Orabona · Andreas Damianou · Wacha Bounliphone · Yanshuai Cao · Arijit Das · Yingzhen Yang · Giulia DeSalvo · Dmitry Storcheus · Roberto Valerio -
2014 Poster: Mode Estimation for High Dimensional Discrete Tree Graphical Models »
Chao Chen · Han Liu · Dimitris Metaxas · Tianqi Zhao -
2014 Poster: Accelerated Mini-batch Randomized Block Coordinate Descent Method »
Tuo Zhao · Mo Yu · Yiming Wang · Raman Arora · Han Liu -
2014 Poster: Multivariate Regression with Calibration »
Han Liu · Lie Wang · Tuo Zhao -
2014 Poster: Sparse PCA with Oracle Property »
Quanquan Gu · Zhaoran Wang · Han Liu -
2014 Spotlight: Mode Estimation for High Dimensional Discrete Tree Graphical Models »
Chao Chen · Han Liu · Dimitris Metaxas · Tianqi Zhao -
2014 Poster: Greedy Subspace Clustering »
Dohyung Park · Constantine Caramanis · Sujay Sanghavi -
2014 Poster: Tighten after Relax: Minimax-Optimal Sparse PCA in Polynomial Time »
Zhaoran Wang · Huanran Lu · Han Liu -
2013 Workshop: Modern Nonparametric Methods in Machine Learning »
Arthur Gretton · Mladen Kolar · Samory Kpotufe · John Lafferty · Han Liu · Bernhard Schölkopf · Alexander Smola · Rob Nowak · Mikhail Belkin · Lorenzo Rosasco · peter bickel · Yue Zhao -
2013 Poster: Sparse Inverse Covariance Estimation with Calibration »
Tuo Zhao · Han Liu -
2013 Poster: Robust Sparse Principal Component Regression under the High Dimensional Elliptical Model »
Fang Han · Han Liu -
2013 Poster: Memory Limited, Streaming PCA »
Ioannis Mitliagkas · Constantine Caramanis · Prateek Jain -
2013 Spotlight: Robust Sparse Principal Component Regression under the High Dimensional Elliptical Model »
Fang Han · Han Liu -
2012 Workshop: Modern Nonparametric Methods in Machine Learning »
Sivaraman Balakrishnan · Arthur Gretton · Mladen Kolar · John Lafferty · Han Liu · Tong Zhang -
2012 Poster: High-dimensional Nonparanormal Graph Estimation via Smooth-projected Neighborhood Pursuit »
Tuo Zhao · Kathryn Roeder · Han Liu -
2012 Poster: Exponential Concentration for Mutual Information Estimation with Application to Forests »
Han Liu · John Lafferty · Larry Wasserman