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We consider learning under the constraint of local differential privacy (LDP). For many learning problems known efficient algorithms in this model require many rounds of communication between the server and the clients holding the data…

机器学习 · 计算机科学 2019-10-29 Amit Daniely , Vitaly Feldman

We study the problem of online learning (OL) from revealed preferences: a learner wishes to learn a non-strategic agent's private utility function through observing the agent's utility-maximizing actions in a changing environment. We adopt…

最优化与控制 · 数学 2021-06-07 Violet Xinying Chen , Fatma Kılınç-Karzan

Agnostic online learning is classically solved via a reduction to the realizable setting, utilizing Littlestone's Standard Optimal Algorithm (SOA) as a base learner. However, the SOA is computationally intractable to execute even for a…

机器学习 · 计算机科学 2026-05-11 Idan Attias , Steve Hanneke , Arvind Ramaswami

We introduce new online and batch algorithms that are robust to data with missing features, a situation that arises in many practical applications. In the online setup, we allow for the comparison hypothesis to change as a function of the…

机器学习 · 计算机科学 2012-02-19 Afshin Rostamizadeh , Alekh Agarwal , Peter Bartlett

We initiate the study of differentially private learning in the proportional dimensionality regime, in which the number of data samples $n$ and problem dimension $d$ approach infinity at rates proportional to one another, meaning that…

机器学习 · 计算机科学 2025-02-20 Cynthia Dwork , Pranay Tankala , Linjun Zhang

We study the sample complexity of differentially private optimization of quasi-concave functions. For a fixed input domain $\mathcal{X}$, Cohen et al. (STOC 2023) proved that any generic private optimizer for low sensitive quasi-concave…

密码学与安全 · 计算机科学 2025-04-29 Kobbi Nissim , Eliad Tsfadia , Chao Yan

We consider the problem of offline reinforcement learning from human feedback (RLHF) with pairwise comparisons proposed by Zhu et al. (2023), where the implicit reward is a linear function of an unknown parameter. Given an offline dataset,…

机器学习 · 计算机科学 2026-01-23 Zhirui Chen , Vincent Y. F. Tan

Reinforcement learning from human feedback (RLHF) has achieved great empirical success in aligning large language models (LLMs) with human preference, and it is of great importance to study the statistical efficiency of RLHF algorithms from…

机器学习 · 计算机科学 2025-06-02 Songtao Feng , Jie Fu

Smoothed online learning has emerged as a popular framework to mitigate the substantial loss in statistical and computational complexity that arises when one moves from classical to adversarial learning. Unfortunately, for some spaces, it…

机器学习 · 统计学 2024-03-20 Adam Block , Alexander Rakhlin , Max Simchowitz

We formulate a private learning model to study an intrinsic tradeoff between privacy and query complexity in sequential learning. Our model involves a learner who aims to determine a scalar value, $v^*$, by sequentially querying an external…

机器学习 · 计算机科学 2020-02-27 John N. Tsitsiklis , Kuang Xu , Zhi Xu

We present novel, computationally efficient, and differentially private algorithms for two fundamental high-dimensional learning problems: learning a multivariate Gaussian and learning a product distribution over the Boolean hypercube in…

数据结构与算法 · 计算机科学 2019-05-31 Gautam Kamath , Jerry Li , Vikrant Singhal , Jonathan Ullman

Personalized alignment aims to adapt large language models to heterogeneous user preferences, yet the precise theoretical conditions for its statistical efficiency have not been formally established. This paper characterizes the conditions…

机器学习 · 计算机科学 2026-05-12 Enoch Hyunwook Kang

The sample complexity of learning a Boolean-valued function class is precisely characterized by its Rademacher complexity. This has little bearing, however, on the sample complexity of \emph{efficient} agnostic learning. We introduce…

机器学习 · 计算机科学 2017-12-01 Pravesh K. Kothari , Roi Livni

Training reliable deep learning models which avoid making overconfident but incorrect predictions is a longstanding challenge. This challenge is further exacerbated when learning has to be differentially private: protection provided to…

机器学习 · 计算机科学 2023-05-31 Stephan Rabanser , Anvith Thudi , Abhradeep Thakurta , Krishnamurthy Dvijotham , Nicolas Papernot

In this paper, we study the offline and online settings of reinforcement learning from human feedback (RLHF) with KL-regularization -- a widely used objective function in large language model alignment -- under the $\epsilon$ local…

机器学习 · 计算机科学 2025-10-16 Yulian Wu , Rushil Thareja , Praneeth Vepakomma , Francesco Orabona

One of the main strengths of online algorithms is their ability to adapt to arbitrary data sequences. This is especially important in nonparametric settings, where performance is measured against rich classes of comparator functions that…

机器学习 · 计算机科学 2020-11-03 Ilja Kuzborskij , Nicolò Cesa-Bianchi

Reinforcement Learning from Human Feedback (RLHF) is currently the leading approach for aligning large language models with human preferences. Typically, these models rely on extensive offline preference datasets for training. However,…

机器学习 · 计算机科学 2024-12-17 Avinandan Bose , Zhihan Xiong , Aadirupa Saha , Simon Shaolei Du , Maryam Fazel

We study uniform computability properties of PAC learning using Weihrauch complexity. We focus on closed concept classes, which are either represented by positive, by negative or by full information. Among other results, we prove that…

逻辑 · 数学 2026-01-27 Vasco Brattka , Guillaume Chirache

In discrete convex analysis, the scaling and proximity properties for the class of L$^\natural$-convex functions were established more than a decade ago and have been used to design efficient minimization algorithms. For the larger class of…

组合数学 · 数学 2017-12-13 Satoko Moriguchi , Kazuo Murota , Akihisa Tamura , Fabio Tardella

We present the first theoretical guarantees for differentially private online reinforcement learning (RL) with general function approximation, extending beyond prior work restricted to tabular and linear settings. Our approach combines a…

机器学习 · 计算机科学 2026-05-11 Yi He , Xingyu Zhou