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We consider minimizing high-dimensional smooth nonconvex objectives using only noisy pairwise comparisons. Unlike classical zeroth-order methods limited by the ambient dimension $d$, we propose Noisy-Comparison Random Search (NCRS), a…

Optimization and Control · Mathematics 2026-01-30 Taha El Bakkali , Rayane Bouftini , Qiuyi Zhang , Omar Saadi

This paper studies a long-term resource allocation problem over multiple periods where each period requires a multi-stage decision-making process. We formulate the problem as an online allocation problem in an episodic finite-horizon…

Data Structures and Algorithms · Computer Science 2023-10-20 Duksang Lee , William Overman , Dabeen Lee

We present a deterministic sorting algorithm, SPMS (Sample, Partition, and Merge Sort), that interleaves the partitioning of a sample sort with merging. Sequentially, it sorts $n$ elements in $O(n \log n)$ time cache-obliviously with an…

Data Structures and Algorithms · Computer Science 2017-11-03 Richard Cole , Vijaya Ramachandran

Cross-domain sequential recommendation (CDSR) aims to align heterogeneous user behavior sequences collected from different domains. While cross-attention is widely used to enhance alignment and improve recommendation performance, its…

We propose a concealing-restoring system (CRS) for data on physical layer of the OSI reference model. CRS conceals those data by disturbing them with some random noises, and restores the data from the concealed ones to the original ones by…

Information Theory · Computer Science 2021-08-17 Tomohiro Fujii , Masao Hirokawa

In Bayesian inference, predictive distributions are typically in the form of samples generated via Markov chain Monte Carlo (MCMC) or related algorithms. In this paper, we conduct a systematic analysis of how to make and evaluate…

Methodology · Statistics 2020-06-25 Fabian Krüger , Sebastian Lerch , Thordis L. Thorarinsdottir , Tilmann Gneiting

This paper studies the fixed budget formulation of the Ranking and Selection (R&S) problem with independent normal samples, where the goal is to investigate different algorithms' convergence rate in terms of their resulting probability of…

Optimization and Control · Mathematics 2018-11-30 Di Wu , Enlu Zhou

In both observational data and randomized control trials, researchers select statistical models to articulate how the outcome of interest varies with combinations of observable covariates. Choosing a model that is too simple can obfuscate…

This paper considers online convex optimization (OCO) with stochastic constraints, which generalizes Zinkevich's OCO over a known simple fixed set by introducing multiple stochastic functional constraints that are i.i.d. generated at each…

Optimization and Control · Mathematics 2017-08-15 Hao Yu , Michael J. Neely , Xiaohan Wei

Some of the most compelling applications of online convex optimization, including online prediction and classification, are unconstrained: the natural feasible set is R^n. Existing algorithms fail to achieve sub-linear regret in this…

Machine Learning · Computer Science 2012-11-13 Matthew Streeter , H. Brendan McMahan

Objective prior distributions represent an important tool that allows one to have the advantages of using the Bayesian framework even when information about the parameters of a model is not available. The usual objective approaches work off…

Methodology · Statistics 2018-09-25 Fabrizio Leisen , Cristiano Villa , Stephen G. Walker

Auto-bidding problem under a strict return-on-spend constraint (ROSC) is considered, where an algorithm has to make decisions about how much to bid for an ad slot depending on the revealed value, and the hidden allocation and payment…

Computer Science and Game Theory · Computer Science 2025-05-26 Rahul Vaze , Abhishek Sinha

We study online convex optimization in the random order model, recently proposed by \citet{garber2020online}, where the loss functions may be chosen by an adversary, but are then presented to the online algorithm in a uniformly random…

Machine Learning · Computer Science 2021-06-30 Uri Sherman , Tomer Koren , Yishay Mansour

In this paper we discuss the variable selection method from \ell0-norm constrained regression, which is equivalent to the problem of finding the best subset of a fixed size. Our study focuses on two aspects, consistency and computation. We…

Methodology · Statistics 2013-03-20 Shifeng Xiong

Many decision-making processes involve solving a combinatorial optimization problem with uncertain input that can be estimated from historic data. Recently, problems in this class have been successfully addressed via end-to-end learning…

Machine Learning · Computer Science 2021-07-07 Maxime Mulamba , Jayanta Mandi , Michelangelo Diligenti , Michele Lombardi , Victor Bucarey , Tias Guns

Evaluating and optimizing policies in the presence of unobserved confounders is a problem of growing interest in offline reinforcement learning. Using conventional methods for offline RL in the presence of confounding can not only lead to…

Machine Learning · Statistics 2023-11-08 Chinmaya Kausik , Yangyi Lu , Kevin Tan , Maggie Makar , Yixin Wang , Ambuj Tewari

The paradigm of decision-making has been revolutionised by reinforcement learning and deep learning. Although this has led to significant progress in domains such as robotics, healthcare, and finance, the use of RL in practice is…

Machine Learning · Computer Science 2026-02-23 Daqian Shao

Online learning algorithms continually update their models as data arrive, making it essential to accurately estimate the expected loss at the current time step. The prequential method is an effective estimation approach which can be…

Machine Learning · Statistics 2025-10-28 Kanad Pardeshi , Bryan Wilder , Aarti Singh

We introduce the online stochastic Convex Programming (CP) problem, a very general version of stochastic online problems which allows arbitrary concave objectives and convex feasibility constraints. Many well-studied problems like online…

Machine Learning · Computer Science 2014-10-29 Shipra Agrawal , Nikhil R. Devanur

Distributional regression aims at estimating the conditional distribution of a targetvariable given explanatory co-variates. It is a crucial tool for forecasting whena precise uncertainty quantification is required. A popular methodology…

Statistics Theory · Mathematics 2024-11-22 Clément Dombry , Ahmed Zaoui
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