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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…

数值分析 · 数学 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…

机器学习 · 计算机科学 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…

统计计算 · 统计学 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…

机器学习 · 计算机科学 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…

最优化与控制 · 数学 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…

机器人学 · 计算机科学 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…

机器学习 · 计算机科学 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.…

计算复杂性 · 计算机科学 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,…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算复杂性 · 计算机科学 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…

机器学习 · 计算机科学 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…

编程语言 · 计算机科学 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…

机器学习 · 计算机科学 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…

最优化与控制 · 数学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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 · 计算机科学 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)…