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Mathematics of Online Decision Making 2020

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Online Multiserver Convex Chasing and OptimizationYuval Rabani33m
Shows a constructive reduction that turns online k-means into a k-server style procedure and yields an order k^2 competitive algorithm (uses an order-k…
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Multi-Task Optimal Experiment DesignSteffen Grunewalder31m
Shows that pooling samples with the maximum likelihood / least-squares estimator gives zero improvement at epoch-2 design points unless the subspaces overlap…
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Selfish Robustness and Equilibria in Multi-Player BanditsVianney Perchet37m
Claims that decentralized protocols recover the centralized regret rate under full or statistical sensing even if one agent acts selfishly, and proves…
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Pure Exploration ProblemsWouter Koolen29m
Defines fixed‑confidence, instance‑dependent pure exploration where sample complexity scales like f(mu)·log(1/δ) and gives an information‑theoretic lower bound…
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Gradient Descent-Ascent Provably Converges to Strict Local Minmax Equilibria with a Finite TimescaleLillian Ratliff31m
Claim: gradient descent–ascent with a constructed finite tau_star provably makes the only locally attracting fixed points the strict local minimax (local…
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Learning Outcomes in Queueing SystemsEva Tardos29m
Queues arrive at rate λ, choose one server per round, and run no-regret learning while servers serve one random or timestamp-prioritized packet per round. Main…
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Pandora's Box with Correlations: Learning and ApproximationShuchi Chawla34m
Shows that with only sample access to an unknown joint distribution over costs it is possible to learn a partially adaptive probing policy that is provably…
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Regret Minimization for Stochastic Shortest PathsYishay Mansour31m
Yishay Mansour (Tel Aviv University) Regret Minimization for Stochastic Shortest Paths Mathematics of Online Decision Making
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Robust Algorithms for Secretaries and BanditsAnupam Gupta33m
Algorithm works on a red/green model where an unknown fraction of items are adversarially timed and values are arbitrary while the rest arrive uniformly at…
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The Non-Stochastic Control FrameworkNaman Agarwal34m
Provides an efficient algorithm for known, fully observed linear time invariant systems with adversarial bounded disturbances that guarantees O(√T) regret…
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Competitive Algorithms for Online ControlYisong Yue41m
Presents a reduction from LQR-style problems (input-disturbed squared regulator) to a new online convex optimization with structured memory, then designs an…
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A Unifying View of Optimism in Episodic Reinforcement LearningCiara Pike-Burke28m
Claim: the optimization solved by model‑optimistic RL (optimize p in a confidence set) is the Lagrangian dual of a value‑optimistic dynamic program, so every…
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On the Complexity of Learning Good Policies With and Without RewardsEmilie Kaufmann31m
Proposes a model-based UCB algorithm called RF-UCRL that estimates transitions from visit counts and drives exploration by maximizing a data-dependent upper…
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Model-Based Reinforcement Learning with Value-Targeted RegressionMengdi Wang36m
Proposes using value-targeted regression: fit transition models only to predict next-step value estimates, then build confidence sets over models and do…
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A Generalization Bound for Online Variational InferencePierre Alquier36m
Proposes two sequential variational updates called SVA and SVB and proves regret bounds matching Bayesian online guarantees under convexity and…
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Beating the Curse of Dimensionality in High-Dimensional Optimal StoppingDavid Goldberg36m
Claims a closed-form infinite sum representation of the optimal stopping value and shows truncating after K terms yields a tight error ≤ 1/K guarantee for…
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Online Learning via Offline Greedy Algorithms: Applications in Market Design and OptimizationNegin Golrezaei41m
Framework converts offline greedy procedures into online learners for NP‑hard combinatorial rewards by treating each greedy stage as a Blackwell game and…
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Country-Scale Bandit Implementation for Targeted COVID-19 TestingHamsa Bastani32m
Implemented a country-scale testing system called AVA that uses an optimistic Gittins-style index with pseudo-Gittins indices (certainty-equivalent updates)…
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Multi-Player Multi-Armed Bandit: Can We Still Collaborate at Homes Without "Zoom"?Yuanzhi Li32m
Models non-stochastic (oblivious adversary) multi-player bandits and gives concrete algorithms: one uses a low-switching leader plus exploration by the…
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Multiplayer Bandit Learning - From Competition to CooperationSimina Branzei28m
Two-player bandits compare safe arm p to a risky arm with prior μ and Gittins index g. Competitive play reduces exploration: there is a threshold p_star < g so…
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Representation Learning and Exploration in Reinforcement LearningAkshay Krishnamurthy30m
Describes two concrete algorithms: HOMER uses a contrastive supervised reduction to decode a latent Block MDP into a tabular state space and explores with…
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Corruption Robust Exploration in Episodic Reinforcement LearningAleksandrs Slivkins29m
Proposes algorithms for episodic RL under an adversarial corruptions model where an unknown number C of whole episodes can be arbitrarily altered; main…
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On the Global Convergence and Approximation Benefits of Policy Gradient MethodsDaniel Russo35m
Shows that gradient descent on parameterized policies avoids suboptimal stationary points when two concrete conditions hold: the policy class is closed under…
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An Alternative Softmax Operator for Reinforcement LearningMichael L. Littman31m
Introduces the Mellowmax (mellomax) operator: log of the average of e^{omega·Q}/omega (a softened Boltzmann-style average) and proves it satisfies a…
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What Are the Statistical Limits of Offline Reinforcement Learning With Function Approximation?Sham Kakade55m
Assumes linear Q realizability and spectral coverage and then proves an information-theoretic lower bound: any offline algorithm can require about D^{H/2}…
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