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Training neural networks is a challenging non-convex optimization problem, and backpropagation or gradient descent can get stuck in spurious local optima. We propose a novel algorithm based on tensor decomposition for guaranteed training of…

Machine Learning · Computer Science 2016-01-13 Majid Janzamin , Hanie Sedghi , Anima Anandkumar

The emerging field of learning-augmented online algorithms uses ML techniques to predict future input parameters and thereby improve the performance of online algorithms. Since these parameters are, in general, real-valued functions, a…

Machine Learning · Computer Science 2022-05-26 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

Graphons offer a powerful framework for modeling large-scale networks, yet estimation remains challenging. We propose a novel approach that leverages a low-rank additive representation, yielding both a low-rank connection probability matrix…

Methodology · Statistics 2026-04-14 Xinyuan Fan , Feiyan Ma , Chenlei Leng , Weichi Wu

Contemporary applications, such as recommendation systems and mobile health monitoring, require real-time processing and analysis of sequentially arriving high-dimensional tensor data. Traditional offline learning, involving the storage and…

Machine Learning · Statistics 2026-02-16 Xin Wen , Will Wei Sun , Yichen Zhang

We present a new accelerated stochastic second-order method that is robust to both gradient and Hessian inexactness, which occurs typically in machine learning. We establish theoretical lower bounds and prove that our algorithm achieves…

Optimization and Control · Mathematics 2024-05-28 Artem Agafonov , Dmitry Kamzolov , Alexander Gasnikov , Ali Kavis , Kimon Antonakopoulos , Volkan Cevher , Martin Takáč

We revisit the common practice of evaluating adaptation of Online Continual Learning (OCL) algorithms through the metric of online accuracy, which measures the accuracy of the model on the immediate next few samples. However, we show that…

Machine Learning · Computer Science 2023-05-17 Hasan Abed Al Kader Hammoud , Ameya Prabhu , Ser-Nam Lim , Philip H. S. Torr , Adel Bibi , Bernard Ghanem

The orthogonal decomposition factorizes a tensor into a sum of an orthogonal list of rankone tensors. We present several properties of orthogonal rank. We find that a subtensor may have a larger orthogonal rank than the whole tensor and…

Numerical Analysis · Mathematics 2022-12-05 Chao Zeng

In this paper, we study the generalization properties of online learning based stochastic methods for supervised learning problems where the loss function is dependent on more than one training sample (e.g., metric learning, ranking). We…

Machine Learning · Computer Science 2013-05-14 Purushottam Kar , Bharath K Sriperumbudur , Prateek Jain , Harish C Karnick

Standard neural network based on general back propagation learning using delta method or gradient descent method has some great faults like poor optimization of error-weight objective function, low learning rate, instability .This paper…

Neural and Evolutionary Computing · Computer Science 2012-12-20 Mriganka Chakraborty , Arka Ghosh

We develop a unified and systematic framework for performing online nonnegative matrix factorization under a wide variety of important divergences. The online nature of our algorithm makes it particularly amenable to large-scale data. We…

Machine Learning · Statistics 2016-08-17 Renbo Zhao , Vincent Y. F. Tan , Huan Xu

The vector-balancing problem is a fundamental problem in discrepancy theory: given T vectors in $[-1,1]^n$, find a signing $\sigma(a) \in \{\pm 1\}$ of each vector $a$ to minimize the discrepancy $\| \sum_{a} \sigma(a) \cdot a \|_{\infty}$.…

Data Structures and Algorithms · Computer Science 2021-11-12 Anupam Gupta , Vijaykrishna Gurunathan , Ravishankar Krishnaswamy , Amit Kumar , Sahil Singla

Clinicians need ranking systems that work in real time and still justify their choices. Motivated by the need for a low-latency, decoder-based reranker, we present OG-Rank, a single-decoder approach that pairs a pooled first-token scoring…

Artificial Intelligence · Computer Science 2025-10-21 Praphul Singh , Corey Barrett , Sumana Srivasta , Irfan Bulu , Sri Gadde , Krishnaram Kenthapadi

The regret bound of an optimization algorithms is one of the basic criteria for evaluating the performance of the given algorithm. By inspecting the differences between the regret bounds of traditional algorithms and adaptive one, we…

Machine Learning · Statistics 2017-07-07 HyoungSeok Kim , JiHoon Kang , WooMyoung Park , SukHyun Ko , YoonHo Cho , DaeSung Yu , YoungSook Song , JungWon Choi

Practical online learning tasks are often naturally defined on unconstrained domains, where optimal algorithms for general convex losses are characterized by the notion of comparator adaptivity. In this paper, we design such algorithms in…

Machine Learning · Computer Science 2022-10-13 Zhiyu Zhang , Ashok Cutkosky , Ioannis Ch. Paschalidis

This paper describes an efficient reduction of the learning problem of ranking to binary classification. The reduction guarantees an average pairwise misranking regret of at most that of the binary classifier regret, improving a recent…

Machine Learning · Computer Science 2007-12-07 Nir Ailon , Mehryar Mohri

The performance of state-of-the-art neural rankers can deteriorate substantially when exposed to noisy inputs or applied to a new domain. In this paper, we present a novel method for fine-tuning neural rankers that can significantly improve…

Information Retrieval · Computer Science 2021-06-01 Xiaofei Ma , Cicero Nogueira dos Santos , Andrew O. Arnold

Deep regression models typically learn in an end-to-end fashion without explicitly emphasizing a regression-aware representation. Consequently, the learned representations exhibit fragmentation and fail to capture the continuous nature of…

Machine Learning · Computer Science 2023-10-11 Kaiwen Zha , Peng Cao , Jeany Son , Yuzhe Yang , Dina Katabi

We study online learning in contextual pay-per-click auctions where at each of the $T$ rounds, the learner receives some context along with a set of ads and needs to make an estimate on their click-through rate (CTR) in order to run a…

Machine Learning · Computer Science 2023-10-10 Mengxiao Zhang , Haipeng Luo

We introduce a novel framework of ranking with abstention, where the learner can abstain from making prediction at some limited cost $c$. We present a extensive theoretical analysis of this framework including a series of $H$-consistency…

Machine Learning · Computer Science 2023-07-06 Anqi Mao , Mehryar Mohri , Yutao Zhong

We consider a setting where a system learns to rank a fixed set of $m$ items. The goal is produce good item rankings for users with diverse interests who interact online with the system for $T$ rounds. We consider a novel top-$1$ feedback…

Machine Learning · Computer Science 2016-08-24 Sougata Chaudhuri , Ambuj Tewari