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Operator learning has emerged as a promising paradigm for approximating solution operators of partial differential equations (PDEs). However, conventional approaches typically rely on pointwise function discretizations, which often suffer…

Numerical Analysis · Mathematics 2026-02-03 Chuqi Chen , Yang Xiang , Weihong Zhang

We propose a batchwise monotone algorithm for dictionary learning. Unlike the state-of-the-art dictionary learning algorithms which impose sparsity constraints on a sample-by-sample basis, we instead treat the samples as a batch, and impose…

Machine Learning · Computer Science 2015-02-03 Huan Wang , John Wright , Daniel Spielman

Learning probabilistic surrogates for partial differential equations remains challenging in data-scarce regimes: neural operators require large amounts of high-fidelity data, while generative approaches typically sacrifice resolution…

Computation · Statistics 2025-12-18 Sahil Bhola , Karthik Duraisamy

A supervised learning algorithm has access to a distribution of labeled examples, and needs to return a function (hypothesis) that correctly labels the examples. The hypothesis of the learner is taken from some fixed class of functions…

Machine Learning · Computer Science 2020-08-25 Eran Malach , Shai Shalev-Shwartz

We consider Decision-Focused Federated Learning (DFFL), a predict-then-optimize setting in which multiple clients collaboratively train predictive models for downstream linear optimization problems without exchanging raw data. Besides the…

Optimization and Control · Mathematics 2026-05-19 Konstantinos Ziliaskopoulos , Alexander Vinel

Program synthesis aims to automatically generate an executable program that conforms to the given specification. Recent advancements have demonstrated that deep neural methodologies and large-scale pretrained language models are highly…

Robotics · Computer Science 2023-12-14 Tianyi Chen , Qidi Wang , Zhen Dong , Liwei Shen , Xin Peng

Nowadays, AI companies improve service quality by aggressively collecting users' data generated by edge devices, which jeopardizes data privacy. To prevent this, Federated Learning is proposed as a private learning scheme, using which users…

Machine Learning · Computer Science 2022-10-06 Jingtao Li , Runcong Kuang

We connect learning algorithms and algorithms automating proof search in propositional proof systems: for every sufficiently strong, well-behaved propositional proof system $P$, we prove that the following statements are equivalent, 1.…

Computational Complexity · Computer Science 2021-11-23 Ján Pich , Rahul Santhanam

Federated learning (FL) is emerging as a promising technique for collaborative learning without local data leaving their devices. However, clients' data originating from diverse domains may degrade model performance due to domain shifts,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Zheng Wang , Zihui Wang , Zheng Wang , Xiaoliang Fan , Cheng Wang

Federated learning (FL) aims to minimize the communication complexity of training a model over heterogeneous data distributed across many clients. A common approach is local methods, where clients take multiple optimization steps over local…

Machine Learning · Computer Science 2023-04-18 Charlie Hou , Kiran K. Thekumparampil , Giulia Fanti , Sewoong Oh

The currently fastest algorithm for regular expression pattern matching and membership improves the classical O(nm) time algorithm by a factor of about log^{3/2}n. Instead of focussing on general patterns we analyse homogeneous patterns of…

Computational Complexity · Computer Science 2020-09-22 Philipp Schepper

We study the problem of learning to partition users into groups, where one must learn the compatibilities between the users to achieve optimal groupings. We define four natural objectives that optimize for average and worst case…

Machine Learning · Computer Science 2017-03-24 Arun Rajkumar , Koyel Mukherjee , Theja Tulabandhula

The goal of programmatic Learning from Demonstration (LfD) is to learn a policy in a programming language that can be used to control a robot's behavior from a set of user demonstrations. This paper presents a new programmatic LfD algorithm…

Programming Languages · Computer Science 2023-11-16 Noah Patton , Kia Rahmani , Meghana Missula , Joydeep Biswas , Işil Dillig

Most recent neural semi-supervised learning algorithms rely on adding small perturbation to either the input vectors or their representations. These methods have been successful on computer vision tasks as the images form a continuous…

Machine Learning · Computer Science 2019-11-27 Alexander Hanbo Li , Abhinav Sethy

We address the problem of minimizing a convex smooth function $f(x)$ over a compact polyhedral set $D$ given a stochastic zeroth-order constraint feedback model. This problem arises in safety-critical machine learning applications, such as…

Optimization and Control · Mathematics 2019-12-10 Ilnura Usmanova , Andreas Krause , Maryam Kamgarpour

Ou et al. (2022) introduce the problem of learning set functions from data generated by a so-called optimal subset oracle. Their approach approximates the underlying utility function with an energy-based model, whose parameters are…

Machine Learning · Computer Science 2024-12-18 Gözde Özcan , Chengzhi Shi , Stratis Ioannidis

Fractional-order differential equations (FDEs) enhance traditional differential equations by extending the order of differential operators from integers to real numbers, offering greater flexibility in modeling complex dynamical systems…

Machine Learning · Computer Science 2025-03-24 Qiyu Kang , Xuhao Li , Kai Zhao , Wenjun Cui , Yanan Zhao , Weihua Deng , Wee Peng Tay

Federated Learning (FL) algorithms commonly sample a random subset of clients to address the straggler issue and improve communication efficiency. While recent works have proposed various client sampling methods, they have limitations in…

Machine Learning · Computer Science 2024-05-15 Jiaxiang Geng , Yanzhao Hou , Xiaofeng Tao , Juncheng Wang , Bing Luo

This paper describes an algorithm for the computation of FIRST and FOLLOW sets for use with feature-theoretic grammars in which the value of the sets consists of pairs of feature-theoretic categories. The algorithm preserves as much…

cmp-lg · Computer Science 2008-02-03 Arturo Trujillo

The problem of automatically generating a computer program from some specification has been studied since the early days of AI. Recently, two competing approaches for automatic program learning have received significant attention: (1)…

Artificial Intelligence · Computer Science 2017-03-23 Jacob Devlin , Jonathan Uesato , Surya Bhupatiraju , Rishabh Singh , Abdel-rahman Mohamed , Pushmeet Kohli