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相关论文: Toward Attribute Efficient Learning Algorithms

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A fundamental question in reinforcement learning theory is: suppose the optimal value functions are linear in given features, can we learn them efficiently? This problem's counterpart in supervised learning, linear regression, can be solved…

机器学习 · 计算机科学 2023-02-28 Daniel Kane , Sihan Liu , Shachar Lovett , Gaurav Mahajan , Csaba Szepesvári , Gellért Weisz

We give a quasipolynomial-time algorithm for learning stochastic decision trees that is optimally resilient to adversarial noise. Given an $\eta$-corrupted set of uniform random samples labeled by a size-$s$ stochastic decision tree, our…

机器学习 · 计算机科学 2021-05-11 Guy Blanc , Jane Lange , Li-Yang Tan

We introduce the notion of a reproducible algorithm in the context of learning. A reproducible learning algorithm is resilient to variations in its samples -- with high probability, it returns the exact same output when run on two samples…

机器学习 · 计算机科学 2023-04-17 Russell Impagliazzo , Rex Lei , Toniann Pitassi , Jessica Sorrell

The increased availability of data in recent years has led several authors to ask whether it is possible to use data as a {\em computational} resource. That is, if more data is available, beyond the sample complexity limit, is it possible…

机器学习 · 计算机科学 2013-11-12 Amit Daniely , Nati Linial , Shai Shalev Shwartz

Kernel methods augmented with random features give scalable algorithms for learning from big data. But it has been computationally hard to sample random features according to a probability distribution that is optimized for the data, so as…

量子物理 · 物理学 2021-11-02 Hayata Yamasaki , Sathyawageeswar Subramanian , Sho Sonoda , Masato Koashi

Recently, the enactment of privacy regulations has promoted the rise of the machine unlearning paradigm. Existing studies of machine unlearning mainly focus on sample-wise unlearning, such that a learnt model will not expose user's privacy…

机器学习 · 计算机科学 2022-04-19 Tao Guo , Song Guo , Jiewei Zhang , Wenchao Xu , Junxiao Wang

We consider learning problems of an intuitive and concise preference model, called lexicographic preference lists (LP-lists). Given a set of examples that are pairwise ordinal preferences over a universe of objects built of attributes of…

人工智能 · 计算机科学 2019-09-20 Ahmed Moussa , Xudong Liu

In this paper we study the approximate learnability of valuations commonly used throughout economics and game theory for the quantitative encoding of agent preferences. We provide upper and lower bounds regarding the learnability of…

计算机科学与博弈论 · 计算机科学 2011-09-05 Maria Florina Balcan , Florin Constantin , Satoru Iwata , Lei Wang

Learning-augmented algorithms are a prominent recent development in beyond worst-case analysis. In this framework, a problem instance is provided with a prediction (``advice'') from a machine-learning oracle, which provides partial…

数据结构与算法 · 计算机科学 2025-06-03 Idan Attias , Xing Gao , Lev Reyzin

A matrix $M: A \times X \rightarrow \{-1,1\}$ corresponds to the following learning problem: An unknown element $x \in X$ is chosen uniformly at random. A learner tries to learn $x$ from a stream of samples, $(a_1, b_1), (a_2, b_2) \ldots$,…

机器学习 · 计算机科学 2017-08-10 Sumegha Garg , Ran Raz , Avishay Tal

A new line of research for feature selection based on neural networks has recently emerged. Despite its superiority to classical methods, it requires many training iterations to converge and detect informative features. The computational…

机器学习 · 计算机科学 2022-11-29 Ghada Sokar , Zahra Atashgahi , Mykola Pechenizkiy , Decebal Constantin Mocanu

In this paper, we begin the exploration of vertex-ordering problems through the lens of exponential-time approximation algorithms. In particular, we ask the following question: Can we simultaneously beat the running times of the fastest…

数据结构与算法 · 计算机科学 2025-02-18 Matthias Bentert , Fedor V. Fomin , Tanmay Inamdar , Saket Saurabh

Classification algorithms aim to predict an unknown label (e.g., a quality class) for a new instance (e.g., a product). Therefore, training samples (instances and labels) are used to deduct classification hypotheses. Often, it is relatively…

机器学习 · 计算机科学 2019-01-30 Daniel Kottke , Jim Schellinger , Denis Huseljic , Bernhard Sick

We consider the problem of sorting $n$ items, given the outcomes of $m$ pre-existing comparisons. We present a simple and natural deterministic algorithm that runs in $O(m + \log T)$ time and does $O(\log T)$ comparisons, where $T$ is the…

数据结构与算法 · 计算机科学 2026-05-06 Bernhard Haeupler , Richard Hladík , John Iacono , Vaclav Rozhon , Robert Tarjan , Jakub Tětek

We theoretically explore the relationship between sample-efficiency and adaptivity in reinforcement learning. An algorithm is sample-efficient if it uses a number of queries $n$ to the environment that is polynomial in the dimension $d$ of…

机器学习 · 计算机科学 2024-05-29 Emmeran Johnson , Ciara Pike-Burke , Patrick Rebeschini

An important long-term goal in machine learning systems is to build learning agents that, like humans, can learn many tasks over their lifetime, and moreover use information from these tasks to improve their ability to do so efficiently. In…

机器学习 · 计算机科学 2017-07-03 Maria-Florina Balcan , Avrim Blum , Vaishnavh Nagarajan

We consider the problem of learning a loss function which, when minimized over a training dataset, yields a model that approximately minimizes a validation error metric. Though learning an optimal loss function is NP-hard, we present an…

机器学习 · 计算机科学 2019-07-02 Matthew Streeter

We address complexity issues for linear differential equations in characteristic $p>0$: resolution and computation of the $p$-curvature. For these tasks, our main focus is on algorithms whose complexity behaves well with respect to $p$. We…

符号计算 · 计算机科学 2009-01-27 Alin Bostan , Éric Schost

Consider the model where we can access a parity function through random uniform labeled examples in the presence of random classification noise. In this paper, we show that approximating the number of relevant variables in the parity…

机器学习 · 计算机科学 2024-07-17 Nader H. Bshouty , George Haddad

We give the first polynomial-time algorithm for performing linear or polynomial regression resilient to adversarial corruptions in both examples and labels. Given a sufficiently large (polynomial-size) training set drawn i.i.d. from…

机器学习 · 计算机科学 2020-06-05 Adam Klivans , Pravesh K. Kothari , Raghu Meka