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Showing 1 to 12 of 12 for “"Minimax Optimization"”.
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Novel first-order methods for bilevel and minimax optimization.
Bilevel and minimax optimization problems arise in various fields, including machine learning, game theory, and decision science. This thesis highlights the underlying connections between constrained minimax and bilevel optimization and develops novel first-order methods with strong theoretical …
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On the Complexity of Nonconvex-Strongly-Concave Smooth Minimax Optimization Using First-Order Methods
The problem of minimax optimization arises in a wide range of applications. When the objective function is convex-concave, almost the full picture is known. However, the general nonconvex-concave setting is less understood. In this work, we study the complexity of nonconvex-strongly-concave minimax …
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Robust Control of Stochastic Nonlinear Systems
The third topic studied involves the constrained minimax optimization problem for a class of stochastic nonlinear systems in strict-feedback form, where in addition to the standard Wiener process there is a norm-bounded unknown disturbance driving the system. The bound on the disturbance is a …
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A Minimax Approach for Learning Gaussian Mixtures
… Training for Gaussian Mixture Models (GATGMM), a minimax GAN framework for learning GMMs. Motivated by optimal transport theory, we design the zero-sum game in GAT-GMM using a random linear generator and a softmax-based quadratic discriminator architecture, which leads to a non-convex concave …
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Analysis of Transient and Steady State Vehicle Handling with Torque Vectoring
… force allocation strategy is formulated as a minimax optimization problem. A two-track vehicle model is simulated for this strategy, and it verified the analytical proof by displaying neutralsteering behavior.
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Wideband Digital Filter-and-Sum Beamforming with Simultaneous Correction of Dispersive Cable and Antenna Effects
… are derived. One solution is found via minimax optimization. To assess feasibility, the cost is analyzed in terms of filter length. These designs are considered in the context of LWA1, the first ``station'' of the Long Wavelength Array (LWA) radio telescope, consisting of 512 bowtie-type …
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Understanding and Mitigating Data-Centric Vulnerabilities in Modern AI Systems
… outputs, we formulate backdoor removal as a minimax optimization problem and develop I-BAU (Implicit Backdoor Adversarial Unlearning), an efficient algorithm that outperforms existing defenses across diverse attack settings. As AI systems evolve toward large foundation models, so too must our …
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Multi-Domain Text Classification with Adversarial Training
… learning can reduce domain divergence through a minimax optimization to produce domain-invariant features. The domain-invariant features are supposed to be both transferable and discriminative, while shared-private employs domain-specific features to boost the discriminability of the …
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Designing policy optimization algorithms for multi-agent reinforcement learning
… algorithms essentially solve a bi-level optimization problem by tracking an artificial auxiliary variable in addition to the decision variable and updating them at different rates. We propose a two-time-scale stochastic gradient descent method under a special type of gradient oracle which …
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Exploitable structures and complexities of modern nonconvex optimization: Fundamental limits and efficient algorithms
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01
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Enhanced Formulations for Minimax and Discrete Optimization Problems with Applications to Scheduling and Routing
… the development of enhanced formulations for minimax and mixed-integer programming models for certain industrial and logistical systems, along with the design and implementation of efficient algorithmic strategies. We first examine the general class of minimax mixed-integer 0-1 problems of the …
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Guaranteed safe autonomy: Probabilistic and game-theoretic approaches
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-19 without embargo terms