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We analyze parallel algorithms in the context of exhaustive search over totally ordered sets. Imagine an infinite list of "boxes", with a "treasure" hidden in one of them, where the boxes' order reflects the importance of finding the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-03 Pierre Fraigniaud , Amos Korman , Yoav Rodeh

Parametric search has been widely used in geometric algorithms. Cole's improvement provides a way of saving a logarithmic factor in the running time over what is achievable using the standard method. Unfortunately, this improvement comes at…

Data Structures and Algorithms · Computer Science 2013-06-14 Michael T. Goodrich , Paweł Pszona

In today's data driven world, storing, processing, and gleaning insights from large-scale data are major challenges. Data compression is often required in order to store large amounts of high-dimensional data, and thus, efficient inference…

Machine Learning · Statistics 2018-09-11 Denali Molitor , Deanna Needell

We study the integration of machine learning advice to improve upon traditional data structure designed for efficient search queries. Although there has been recent effort in improving the performance of binary search trees using machine…

Data Structures and Algorithms · Computer Science 2025-03-10 Chunkai Fu , Brandon G. Nguyen , Jung Hoon Seo , Ryan Zesch , Samson Zhou

In many contemporary optimization problems such as those arising in machine learning, it can be computationally challenging or even infeasible to evaluate an entire function or its derivatives. This motivates the use of stochastic…

Optimization and Control · Mathematics 2021-07-01 El-houcine Bergou , Youssef Diouane , Vladimir Kunc , Vyacheslav Kungurtsev , Clément W. Royer

In this paper we analyze the efficiency of various search results diversification methods. While efficacy of diversification approaches has been deeply investigated in the past, response time and scalability issues have been rarely…

Information Retrieval · Computer Science 2011-05-24 Gabriele Capannini , Franco Maria Nardini , Raffaele Perego , Fabrizio Silvestri

We consider two active binary-classification problems with atypical objectives. In the first, active search, our goal is to actively uncover as many members of a given class as possible. In the second, active surveying, our goal is to…

Machine Learning · Computer Science 2016-11-11 Roman Garnett , Yamuna Krishnamurthy , Xuehan Xiong , Jeff Schneider , Richard Mann

Smart Sort algorithm is a "smart" fusion of heap construction procedures (of Heap sort algorithm) into the conventional "Partition" function (of Quick sort algorithm) resulting in a robust version of Quick sort algorithm. We have also…

Data Structures and Algorithms · Computer Science 2012-04-24 Niraj Kumar Singh , Soubhik Chakraborty

Sequential search models provide a powerful framework for studying consumer search using rich data that records the sequence of consumer actions taken during the search process. In existing empirical applications, their implementation often…

Econometrics · Economics 2026-05-05 Tinghan Zhang

The aim of structured optimization is to assemble a solution, using a given set of (possibly uncountably infinite) atoms, to fit a model to data. A two-stage algorithm based on gauge duality and bundle method is proposed. The first stage…

Optimization and Control · Mathematics 2019-11-05 Zhenan Fan , Yifan Sun , Michael P. Friedlander

Bipartite ranking aims to learn a real-valued ranking function that orders positive instances before negative instances. Recent efforts of bipartite ranking are focused on optimizing ranking accuracy at the top of the ranked list. Most…

Machine Learning · Computer Science 2020-07-07 Nan Li , Rong Jin , Zhi-Hua Zhou

Practical use of neural networks often involves requirements on latency, energy and memory among others. A popular approach to find networks under such requirements is through constrained Neural Architecture Search (NAS). However, previous…

Machine Learning · Computer Science 2022-04-28 Niv Nayman , Yonathan Aflalo , Asaf Noy , Rong Jin , Lihi Zelnik-Manor

The existing machine learning algorithms for minimizing the convex function over a closed convex set suffer from slow convergence because their learning rates must be determined before running them. This paper proposes two machine learning…

Optimization and Control · Mathematics 2019-09-02 Kazuhiro Hishinuma , Hideaki Iiduka

This paper proposes an arc-search interior-point algorithm for the nonlinear constrained optimization problem. The proposed algorithm uses the second-order derivatives to construct a search arc that approaches the optimizer. Because the arc…

Optimization and Control · Mathematics 2025-06-13 Yaguang Yang

We introduce a structured quantum search algorithm that leverages entanglement maps and a fixed-point method to minimize oracle query complexity in unsorted datasets. By partitioning qubits into rows based on their entanglement order, the…

Quantum Physics · Physics 2025-07-22 Yash Prabhat , Snigdha Thakur , Ankur Raina

Rank fusion is a powerful technique that allows multiple sources of information to be combined into a single result set. However, to date fusion has not been regarded as being cost-effective in cases where strict per-query efficiency…

Information Retrieval · Computer Science 2020-11-11 Rodger Benham , Joel Mackenzie , Alistair Moffat , J. Shane Culpepper

Beam search is a go-to strategy for decoding neural sequence models. The algorithm can naturally be viewed as a subset optimization problem, albeit one where the corresponding set function does not reflect interactions between candidates.…

Computation and Language · Computer Science 2023-06-26 Clara Meister , Martina Forster , Ryan Cotterell

With the advancement of machine learning and deep learning, vector search becomes instrumental to many information retrieval systems, to search and find best matches to user queries based on their semantic similarities.These online services…

Computer Vision and Pattern Recognition · Computer Science 2018-09-13 Minjia Zhang , Yuxiong He

Efficient and automated design of optimizers plays a crucial role in full-stack AutoML systems. However, prior methods in optimizer search are often limited by their scalability, generability, or sample efficiency. With the goal of…

Machine Learning · Computer Science 2022-09-29 Ruochen Wang , Yuanhao Xiong , Minhao Cheng , Cho-Jui Hsieh

In this paper, we propose a method that has foundations in the line search sequential quadratic programming paradigm for solving general nonlinear equality constrained optimization problems. The method employs a carefully designed modified…

Optimization and Control · Mathematics 2024-07-29 Albert S. Berahas , Raghu Bollapragada , Jiahao Shi