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We provide a framework for computing the exact worst-case performance of any algorithm belonging to a broad class of oracle-based first-order methods for composite convex optimization, including those performing explicit, projected,…

Optimization and Control · Mathematics 2019-11-22 Adrien B. Taylor , Julien M. Hendrickx , François Glineur

Many real-world tasks such as recommending videos with the kids tag can be reduced to finding most similar vectors associated with hard predicates. This task, filtered vector search, is challenging as prior state-of-the-art graph-based…

Databases · Computer Science 2025-07-22 Zhaoheng Li , Silu Huang , Wei Ding , Yongjoo Park , Jianjun Chen

A set of accelerated first order algorithms with memory are proposed for minimising strongly convex functions. The algorithms are differentiated by their use of the iterate history for the gradient step. The increased convergence rate of…

Optimization and Control · Mathematics 2018-08-31 Ross Drummond , Stephen Duncan

Long-sequence modeling faces a fundamental trade-off between the efficiency of compressive fixed-size memory in RNN-like models and the fidelity of lossless growing memory in attention-based Transformers. Inspired by the Multi-Store Model…

Computation and Language · Computer Science 2025-12-18 Yunhao Fang , Weihao Yu , Shu Zhong , Qinghao Ye , Xuehan Xiong , Lai Wei

For deployment, neural architecture search should be hardware-aware, in order to satisfy the device-specific constraints (e.g., memory usage, latency and energy consumption) and enhance the model efficiency. Existing methods on…

Machine Learning · Computer Science 2021-12-03 Hayeon Lee , Sewoong Lee , Song Chong , Sung Ju Hwang

This paper presents a proper generalized decomposition (PGD) based reduced-order model of hierarchical deep-learning neural networks (HiDeNN). The proposed HiDeNN-PGD method keeps both advantages of HiDeNN and PGD methods. The automatic…

Numerical Analysis · Mathematics 2022-01-12 Lei Zhang , Ye Lu , Shaoqiang Tang , Wing Kam Liu

Hierarchical classification problems are commonly seen in practice. However, most existing methods do not fully utilize the hierarchical information among class labels. In this paper, a novel label embedding approach is proposed, which…

Methodology · Statistics 2020-07-23 Yiwei Fan , Xiaoling Lu , Yufeng Liu , Junlong Zhao

Random reshuffling, which randomly permutes the dataset each epoch, is widely adopted in model training because it yields faster convergence than with-replacement sampling. Recent studies indicate greedily chosen data orderings can further…

Machine Learning · Computer Science 2023-01-05 Yucheng Lu , Wentao Guo , Christopher De Sa

Representing visual data using compact binary codes is attracting increasing attention as binary codes are used as direct indices into hash table(s) for fast non-exhaustive search. Recent methods show that ranking binary codes using…

Data Structures and Algorithms · Computer Science 2023-06-07 Zhenyu Weng , Huiping Zhuang , Haizhou Li , Zhiping Lin

Machine learning (ML) systems that guarantee security and privacy often rely on Fully Homomorphic Encryption (FHE) as a cornerstone technique, enabling computations on encrypted data without exposing sensitive information. However, a…

Cryptography and Security · Computer Science 2024-12-20 Dongfang Zhao

Importance weighted variational inference (Burda et al., 2015) uses multiple i.i.d. samples to have a tighter variational lower bound. We believe a joint proposal has the potential of reducing the number of redundant samples, and introduce…

Machine Learning · Computer Science 2019-05-14 Chin-Wei Huang , Kris Sankaran , Eeshan Dhekane , Alexandre Lacoste , Aaron Courville

Test Case Prioritization (TCP) techniques aim at proposing new test case execution orders to favor the achievement of certain testing goal, such as fault detection. Current TCP research focus mainly on code-based regression testing; however…

Most existing distance metric learning methods assume perfect side information that is usually given in pairwise or triplet constraints. Instead, in many real-world applications, the constraints are derived from side information, such as…

Machine Learning · Computer Science 2012-03-19 Kaizhu Huang , Rong Jin , Zenglin Xu , Cheng-Lin Liu

The pairing heap is a classical heap data structure introduced in 1986 by Fredman, Sedgewick, Sleator, and Tarjan. It is remarkable both for its simplicity and for its excellent performance in practice. The "magic" of pairing heaps lies in…

Data Structures and Algorithms · Computer Science 2018-06-22 Dani Dorfman , Haim Kaplan , László Kozma , Uri Zwick

In BUNDLE: Real-Time Multi-Threaded Scheduling to Reduce Cache Contention, Tessler and Fisher propose a scheduling mechanism and combined worst-case execution time calculation method that treats the instruction cache as a beneficial…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-31 Corey Tessler , Nathan Fisher

This paper aims to improve the performance of large language models by addressing the variable computational demands in inference steps, where some tokens require more computational resources than others. We present HARP, a simple…

Computation and Language · Computer Science 2025-05-27 Romain Storaï , Seung-won Hwang

We consider the NP-hard problem of MAP-inference for undirected discrete graphical models. We propose a polynomial time and practically efficient algorithm for finding a part of its optimal solution. Specifically, our algorithm marks some…

Computer Vision and Pattern Recognition · Computer Science 2017-02-06 Alexander Shekhovtsov , Paul Swoboda , Bogdan Savchynskyy

The Performance Estimation Problem (PEP) approach consists in computing worst-case performance bounds on optimization algorithms by solving an optimization problem: one maximizes an error criterion over all initial conditions allowed and…

Optimization and Control · Mathematics 2024-02-13 Anne Rubbens , Nizar Bousselmi , Sebastien Colla , Julien M. Hendrickx

The resource constrained project scheduling problem (RCPSP) is an NP-Hard combinatorial optimization problem. The objective of RCPSP is to schedule a set of activities without violating any activity precedence or resource constraints. In…

Neural and Evolutionary Computing · Computer Science 2022-04-26 Shelvin Chand , Kousik Rajesh , Rohitash Chandra

In this paper, we propose a fast method for exactly enumerating a very large number of all lower cost solutions for various combinatorial problems. Our method is based on backtracking for a given decision diagram which represents all the…

Data Structures and Algorithms · Computer Science 2022-04-29 Shin-ichi Minato , Mutsunori Banbara , Takashi Horiyama , Jun Kawahara , Ichigaku Takigawa , Yutaro Yamaguchi
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