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We consider the optimization problem of the form $\min_{x \in \mathbb{R}^d} f(x) \triangleq \mathbb{E}_{\xi} [F(x; \xi)]$, where the component $F(x;\xi)$ is $L$-mean-squared Lipschitz but possibly nonconvex and nonsmooth. The recently…

Optimization and Control · Mathematics 2024-05-15 Lesi Chen , Jing Xu , Luo Luo

Multi-user multiple-input multiple-output (MU-MIMO) beamforming design is typically formulated as a non-convex weighted sum rate (WSR) maximization problem that is known to be NP-hard. This problem is solved either by iterative algorithms,…

Signal Processing · Electrical Eng. & Systems 2022-10-28 Jing-Yuan Xia , Zhixiong Yang , Tong Qiu , Huaizhang Liao , Deniz Gunduz

Many challenges in science and engineering, such as drug discovery and communication network design, involve optimizing complex and expensive black-box functions across vast search spaces. Thus, it is essential to leverage existing data to…

Machine Learning · Computer Science 2024-12-04 Juncheng Dong , Zihao Wu , Hamid Jafarkhani , Ali Pezeshki , Vahid Tarokh

Vision transformer based models bring significant improvements for image segmentation tasks. Although these architectures offer powerful capabilities irrespective of specific segmentation tasks, their use of computational resources can be…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Manyi Yao , Abhishek Aich , Yumin Suh , Amit Roy-Chowdhury , Christian Shelton , Manmohan Chandraker

In model-based optimisation (MBO) we are interested in using machine learning to design candidates that maximise some measure of reward with respect to a black box function called the (ground truth) oracle, which is expensive to compute…

Machine Learning · Statistics 2024-01-17 Christopher Beckham , Alexandre Piche , David Vazquez , Christopher Pal

In this work, multi-variable derivative-free optimization algorithms for unconstrained optimization problems are developed. A novel procedure for approximating the gradient of multi-variable objective functions based on non-commutative maps…

Optimization and Control · Mathematics 2021-11-17 Jan Feiling , Mohamed-Ali Belabbas , Christian Ebenbauer

Robust machine learning is currently one of the most prominent topics which could potentially help shaping a future of advanced AI platforms that not only perform well in average cases but also in worst cases or adverse situations. Despite…

Computer Vision and Pattern Recognition · Computer Science 2019-12-06 Pu Zhao , Sijia Liu , Pin-Yu Chen , Nghia Hoang , Kaidi Xu , Bhavya Kailkhura , Xue Lin

We present a novel learning-based method to build a differentiable computational model of a real fluorescence microscope. Our model can be used to calibrate a real optical setup directly from data samples and to engineer point spread…

Image and Video Processing · Electrical Eng. & Systems 2023-06-12 Josue Page , Paolo Favaro

We address the problem of accurate, training-free guidance for conditional generation in trained diffusion models. Existing methods typically rely on point-estimates to approximate the posterior score, often resulting in biased…

Machine Learning · Statistics 2026-01-30 Aidan Gleich , Scott C. Schmidler

We design Local LMO - a new projection-free gradient-type method for constrained optimization. The key algorithmic idea is to replace the global linear minimization oracle over the constraint set used by Frank-Wolfe (FW) with a local linear…

Optimization and Control · Mathematics 2026-05-12 Peter Richtárik , Kaja Gruntkowska , Hanmin Li

We study reinforcement learning in hybrid discrete-continuous action spaces, such as settings where the discrete component selects a regime (or index) and the continuous component optimizes within it -- a structure common in robotics,…

Machine Learning · Computer Science 2026-05-15 Matias Alvo , Daniel Russo , Yash Kanoria

One of the grand enduring goals of AI is to create generalist agents that can learn multiple different tasks from diverse data via multitask learning (MTL). However, in practice, applying gradient descent (GD) on the average loss across all…

Machine Learning · Computer Science 2023-10-31 Bo Liu , Yihao Feng , Peter Stone , Qiang Liu

This paper studies the performative prediction problem where a learner aims to minimize the expected loss with a decision-dependent data distribution. Such setting is motivated when outcomes can be affected by the prediction model, e.g., in…

Optimization and Control · Mathematics 2024-05-24 Haitong Liu , Qiang Li , Hoi-To Wai

When training deep learning models, the performance depends largely on the selected hyperparameters. However, hyperparameter optimization (HPO) is often one of the most expensive parts of model design. Classical HPO methods treat this as a…

In statistics, it is common to encounter multi-modal and non-smooth likelihood (or objective function) maximization problems, where the parameters have known upper and lower bounds. This paper proposes a novel derivative-free global…

Optimization and Control · Mathematics 2023-09-14 Priyam Das

Molecule optimization is an important problem in chemical discovery and has been approached using many techniques, including generative modeling, reinforcement learning, genetic algorithms, and much more. Recent work has also applied…

Biomolecules · Quantitative Biology 2022-10-31 Elvin Lo , Pin-Yu Chen

In this paper, we study the problem of constrained robust (min-max) optimization ina black-box setting, where the desired optimizer cannot access the gradients of the objective function but may query its values. We present a principled…

Machine Learning · Computer Science 2020-06-18 Sijia Liu , Songtao Lu , Xiangyi Chen , Yao Feng , Kaidi Xu , Abdullah Al-Dujaili , Minyi Hong , Una-May O'Reilly

While test-time fine-tuning is beneficial in few-shot learning, the need for multiple backpropagation steps can be prohibitively expensive in real-time or low-resource scenarios. To address this limitation, we propose an approach that…

Machine Learning · Computer Science 2025-04-23 Donggyun Kim , Chanwoo Kim , Seunghoon Hong

The remarkable success of diffusion and flow-matching models has ignited a surge of works on adapting them at test time for controlled generation tasks. Examples range from image editing to restoration, compression and personalization.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Or Ronai , Vladimir Kulikov , Tomer Michaeli

Derivative-free optimization (DFO) consists in finding the best value of an objective function without relying on derivatives. To tackle such problems, one may build approximate derivatives, using for instance finite-difference estimates.…

Optimization and Control · Mathematics 2024-06-04 Clément W. Royer , Oumaima Sohab , Luis Nunes Vicente