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Adversarial Approaches in Machine Learning 2022

min-max optimization researchers, machine learning researchers, theoretical computer scientists, reinforcement learning researchers, adversarial robustness researchers, causal and semiparametric inference researchers, representation learning researchers

constrained min-max optimization; extra-gradient methods; Halpern iteration for monotone operators; variational method of moments; offline reinforcement learning with density ratios; computational complexity of min-max (PPAD); dynamical systems view of algorithms; zeroth-order convex-concave methods; imitation learning via moment matching; certified robustness and perceptual threat models; generalized energy-based models; policy gradient estimation and generalization

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Last-Iterate Convergence in Constrained Min-Max Optimization: SOS to the RescueYang Cai01h 04m
Proves that the extra-gradient method with constant step η = C / L achieves last-iterate convergence for monotone variational inequalities over arbitrary…
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Fast Rates for No-Regret Learning in General GamesNoah Golowich49m
Shows that when all players use Optimistic Hedge in finite general‑sum games each player’s external regret falls to roughly O(log |A| · log^4 T) — i.e., near…
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The Variational Method of MomentsNathan Kallus57m
Proposes the variational method of moments (VMM): a minimax formulation that replaces K test functions with a rich RKHS or neural-net class and an…
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Offline Reinforcement Learning With Only RealizabilityJason Lee48m
Proposes solving offline RL by solving a regularized primal-dual LP (density-regularized DICE-style objective) to recover an importance weight w and extract a…
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Min-max Optimization: From Complexity to AlgorithmsEmmanouil Zampetakis51m
Shows that finding an approximate local min‑max equilibrium is PPAD-complete and that any black‑box first‑order method needs an exponential query lower bound…
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Min-Max Optimization from a Dynamical Systems ViewpointPanayotis Mertikopoulos01h 00m
Shows that first-order min–max methods (gradient descent-ascent, extra-gradient/optimistic, proximal-point and their stochastic variants) are asymptotic…
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Smooth Nonconvex Min-Max OptimizationMeisam Razaviyayn46m
Gives concrete solvable cases and iteration counts rather than vague promises: when f is smooth and strongly concave in the adversary coordinate a provable…
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Studying Failure Modes of Deep Learning and Ways To Fix ThemSoheil Feizi59m
Shows that non-additive splitting noise (SSN) produces deterministic certificates and a 1/(2λ) L1 Lipschitz bound, doubling ImageNet-scale certified radii…
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Is Minimax Optimization the Right Framework to Understand Learning in Minimax Games?Gauthier Gidel47m
Shows that Adam’s edge in GANs comes from its step-norm, not direction: reproducing Adam with a normalized SGD variant (AdaLR/AdaDIR) matches or beats Adam…
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Beyond Adversarial Approaches on Distributional RobustnessQi Lei42m
Proposes using label propagation over a learned representation to fix covariate shift: train on source labels, add consistency regularization over unlabeled…
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Computationally Efficient Alternatives to Nonconvex-Nonconcave Min-Max OptimizationNisheeth Vishnoi57m
Proposes a new solution concept called epsilon-greedy adversarial equilibrium that limits the maximizer to greedy paths and proves such equilibria exist for…
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Halpern Iteration and Equilibria ProblemsJelena Diakonikolas54m
Shows that Halpern iteration (anchored fixed-point updates plus a potential function) achieves the optimal 1/K rate for making the monotone operator norm…
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Zeroth-Order Methods for Convex-Concave Minmax Problems: Learning from Strategically Generated DataChinmay Maheshwari55m
Recasts decision dependent robustness into a finite dimensional convex concave min max via Wasserstein DRO and a strategic agent model where utility equals…
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Are Single-Loop Algorithms Sufficient for Unbalanced Minimax Optimization?Niao He51m
A constructive claim: a primal‑dual lifting converts FX and HY to dual variables and yields a single‑loop first‑order algorithm (extrapolation + gradient…
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Policy Gradient: Optimal Estimation, Convergence, and Generalization beyond Cumulative RewardsMengdi Wang45m
Shows that policy gradients obey a policy-gradient Bellman equation and uses a practical double fitted iteration (regression over Q and its gradient) to get a…
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Of Moments and Matching: Trade-offs and Treatments in Imitation LearningSteven Wu56m
Presents a unifying game‑theoretic recipe that casts three imitation regimes as minimax moment‑matching games (off‑Q, reward‑matching, on‑Q), proves that…
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Learning Uninformative RepresentationsRichard Zemel54m
Claims an algorithm called EIEL that infers worst-case domains from a reference model that has learned shortcuts, then alternates environment assignment…
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Generalized Energy-Based ModelsArthur Gretton49m
Paper argues that GAN critics contain reusable density information and turns them into a generalized energy-based model that learns an energy E and normalizer…
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Rebel: Combining Deep Reinforcement Learning and Search for Imperfect-Information GamesNoam Brown47m
ReBeL combines counterfactual regret minimization with deep value nets and search over public belief state rooted subgames, proving convergence to a Nash…
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Online Adversarial Multicalibration And (Multi)CalibeatingAaron Roth48m
A unifying framework called online minimax multi-objective optimization converts many adversarial online goals into a zero-sum surrogate game and yields…
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Adversarial Machine Learning and Instrumental Variables for Flexible Causal ModelingVasilis Syrgkanis53m
Proposes an adversarial minimax objective that converts nonparametric instrumental-variable conditions into a loss minimization problem, proves fast, adaptive…
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