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We consider the problem of online linear regression on arbitrary deterministic sequences when the ambient dimension d can be much larger than the number of time rounds T. We introduce the notion of sparsity regret bound, which is a…

机器学习 · 统计学 2013-04-17 Sébastien Gerchinovitz

The theory of deep learning focuses almost exclusively on supervised learning, non-convex optimization using stochastic gradient descent, and overparametrized neural networks. It is common belief that the optimizer dynamics, network…

机器学习 · 计算机科学 2022-02-18 Xinyi Chen , Edgar Minasyan , Jason D. Lee , Elad Hazan

We provide the first sub-linear space and sub-linear regret algorithm for online learning with expert advice (against an oblivious adversary), addressing an open question raised recently by Srinivas, Woodruff, Xu and Zhou (STOC 2022). We…

数据结构与算法 · 计算机科学 2022-11-09 Binghui Peng , Fred Zhang

We study stochastic linear bandits where, in each round, the learner receives a set of actions (i.e., feature vectors), from which it chooses an element and obtains a stochastic reward. The expected reward is a fixed but unknown linear…

机器学习 · 计算机科学 2024-06-04 Tianyuan Jin , Kyoungseok Jang , Nicolò Cesa-Bianchi

Recent advances, such as RegretNet, ALGnet, RegretFormer and CITransNet, use deep learning to approximate optimal multi item auctions by relaxing incentive compatibility (IC) and measuring its violation via ex post regret. However, the true…

计算机科学与博弈论 · 计算机科学 2026-01-21 Shuyuan You , Zhiqiang Zhuang , Kewen Wang , Zhe Wang

A natural goal when designing online learning algorithms for non-stationary environments is to bound the regret of the algorithm in terms of the temporal variation of the input sequence. Intuitively, when the variation is small, it should…

机器学习 · 计算机科学 2021-12-08 Gautam Goel , Babak Hassibi

A dataset is a shred of crucial evidence to describe a task. However, each data point in the dataset does not have the same potential, as some of the data points can be more representative or informative than others. This unequal importance…

机器学习 · 计算机科学 2022-03-21 Jaehong Yoon , Divyam Madaan , Eunho Yang , Sung Ju Hwang

Peer prediction refers to a collection of mechanisms for eliciting information from human agents when direct verification of the obtained information is unavailable. They are designed to have a game-theoretic equilibrium where everyone…

计算机科学与博弈论 · 计算机科学 2022-10-28 Shi Feng , Fang-Yi Yu , Yiling Chen

We consider the problem of learning preferences over trajectories for mobile manipulators such as personal robots and assembly line robots. The preferences we learn are more intricate than simple geometric constraints on trajectories; they…

机器人学 · 计算机科学 2016-01-06 Ashesh Jain , Shikhar Sharma , Thorsten Joachims , Ashutosh Saxena

We consider the problem of PAC learning the most valuable item from a pool of $n$ items using sequential, adaptively chosen plays of subsets of $k$ items, when, upon playing a subset, the learner receives relative feedback sampled according…

机器学习 · 计算机科学 2020-02-20 Aadirupa Saha , Aditya Gopalan

In performative prediction, the deployment of a predictive model triggers a shift in the data distribution. As these shifts are typically unknown ahead of time, the learner needs to deploy a model to get feedback about the distribution it…

机器学习 · 计算机科学 2022-07-19 Meena Jagadeesan , Tijana Zrnic , Celestine Mendler-Dünner

We revisit the classic problem of optimal subset selection in the online learning set-up. Assume that the set $[N]$ consists of $N$ distinct elements. On the $t$th round, an adversary chooses a monotone reward function $f_t: 2^{[N]} \to…

机器学习 · 计算机科学 2023-02-10 Sourav Sahoo , Siddhant Chaudhary , Samrat Mukhopadhyay , Abhishek Sinha

Providing users with alternatives to choose from is an essential component in many online platforms, making the accurate prediction of choice vital to their success. A renewed interest in learning choice models has led to significant…

机器学习 · 计算机科学 2020-01-22 Nir Rosenfeld , Kojin Oshiba , Yaron Singer

Existing online learning algorithms for adversarial Markov Decision Processes achieve ${O}(\sqrt{T})$ regret after $T$ rounds of interactions even if the loss functions are chosen arbitrarily by an adversary, with the caveat that the…

机器学习 · 计算机科学 2023-10-27 Tiancheng Jin , Junyan Liu , Chloé Rouyer , William Chang , Chen-Yu Wei , Haipeng Luo

We present a new framework for deriving bounds on the generalization bound of statistical learning algorithms from the perspective of online learning. Specifically, we construct an online learning game called the "generalization game",…

机器学习 · 统计学 2024-10-18 Gábor Lugosi , Gergely Neu

We consider the online version of the isotonic regression problem. Given a set of linearly ordered points (e.g., on the real line), the learner must predict labels sequentially at adversarially chosen positions and is evaluated by her total…

机器学习 · 计算机科学 2016-10-10 Wojciech Kotłowski , Wouter M. Koolen , Alan Malek

We consider a partial-feedback variant of the well-studied online PCA problem where a learner attempts to predict a sequence of $d$-dimensional vectors in terms of a quadratic loss, while only having limited feedback about the environment's…

机器学习 · 计算机科学 2019-02-11 Wojciech Kotłowski , Gergely Neu

Learning a reward function from human preferences is challenging as it typically requires having a high-fidelity simulator or using expensive and potentially unsafe actual physical rollouts in the environment. However, in many tasks the…

机器学习 · 计算机科学 2023-01-05 Daniel Shin , Anca D. Dragan , Daniel S. Brown

We present a new recommendation setting for picking out two items from a given set to be highlighted to a user, based on contextual input. These two items are presented to a user who chooses one of them, possibly stochastically, with a bias…

机器学习 · 计算机科学 2016-01-26 Daniel Barsky , Koby Crammer

We consider the problem of online learning in Linear Quadratic Control systems whose state transition and state-action transition matrices $A$ and $B$ may be initially unknown. We devise an online learning algorithm and provide guarantees…

机器学习 · 计算机科学 2021-09-30 Yassir Jedra , Alexandre Proutiere