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In this paper, we describe a novel iterative procedure called SISTA to learn the underlying cost in optimal transport problems. SISTA is a hybrid between two classical methods, coordinate descent ("S"-inkhorn) and proximal gradient descent…

最优化与控制 · 数学 2020-10-22 Guillaume Carlier , Arnaud Dupuy , Alfred Galichon , Yifei Sun

This paper presents a compression framework for Reservoir Computing that enables systematic design-space exploration of trade-offs among quantization levels, pruning rates, model accuracy, and hardware efficiency. The proposed approach…

硬件体系结构 · 计算机科学 2026-03-11 Atousa Jafari , Mahdi Taheri , Hassan Ghasemzadeh Mohammadi , Christian Herglotz , Marco Platzner

We review the connection between statistical mechanics and the analysis of random optimization problems, with particular emphasis on the random k-SAT problem. We discuss and characterize the different phase transitions that are met in these…

计算复杂性 · 计算机科学 2009-01-08 Fabrizio Altarelli , Remi Monasson , Guilhem Semerjian , Francesco Zamponi

As its core computation, a self-attention mechanism gauges pairwise correlations across the entire input sequence. Despite favorable performance, calculating pairwise correlations is prohibitively costly. While recent work has shown the…

机器学习 · 计算机科学 2022-09-02 Amir Yazdanbakhsh , Ashkan Moradifirouzabadi , Zheng Li , Mingu Kang

We introduce an algorithm to improve the error scaling of product formulas by randomly sampling the generator of their exact error unitary. Our approach takes an arbitrary product formula of time $t$, $S_k(t)$ with error $O(t^{k+1})$ and…

量子物理 · 物理学 2025-08-26 Lana Mineh , Adrian Chapman , Raul A. Santos

Many relevant problems in the area of systems and control, such as controller synthesis, observer design and model reduction, can be viewed as optimization problems involving dynamical systems: for instance, maximizing performance in the…

最优化与控制 · 数学 2023-11-15 Pascal Den Boef , Jos Maubach , Wil Schilders , Nathan van de Wouw

In view of a direct and simple improvement of vanilla SGD, this paper presents a fine-tuning of its step-sizes in the mini-batch case. For doing so, one estimates curvature, based on a local quadratic model and using only noisy gradient…

机器学习 · 计算机科学 2022-02-10 Camille Castera , Jérôme Bolte , Cédric Févotte , Edouard Pauwels

Variational quantum algorithms (VQAs) offer the most promising path to obtaining quantum advantages via noisy intermediate-scale quantum (NISQ) processors. Such systems leverage classical optimization to tune the parameters of a…

量子物理 · 物理学 2022-09-26 Sharu Theresa Jose , Osvaldo Simeone

Stochastic versions of proximal methods have gained much attention in statistics and machine learning. These algorithms tend to admit simple, scalable forms, and enjoy numerical stability via implicit updates. In this work, we propose and…

机器学习 · 统计学 2024-09-09 Haoyu Jiang , Jason Xu

We give three new algorithms for efficient in-place estimation, without using ancilla qubits, of average fidelity of a quantum logic gate acting on a d-dimensional system using much fewer random bits than what was known so far. Previous…

量子物理 · 物理学 2019-01-23 Aditya Nema , Pranab Sen

In general, we can not use algebraic or enumerative methods to optimize a quality control (QC) procedure so as to detect the critical random and systematic analytical errors with stated probabilities, while the probability for false…

神经与进化计算 · 计算机科学 2018-12-03 Aristides T. Hatjimihail , Theophanes T. Hatjimihail

Outcome probability estimation via classical methods is an important task for validating quantum computing devices. Outcome probabilities of any quantum circuit can be estimated using Monte Carlo sampling, where the amount of negativity…

量子物理 · 物理学 2022-10-14 Nikolaos Koukoulekidis , Hyukjoon Kwon , Hyejung H. Jee , David Jennings , M. S. Kim

This paper addresses the problem of robust clock phase offset estimation for the IEEE 1588 precision time protocol (PTP) in the presence of delay attacks. Delay attacks are one of the most effective cyber attacks in PTP, as they cannot be…

应用统计 · 统计学 2016-11-17 Anantha K. Karthik , Rick S. Blum

With the pervasiveness of Stochastic Shortest-Path (SSP) problems in high-risk industries, such as last-mile autonomous delivery and supply chain management, robust planning algorithms are crucial for ensuring successful task completion…

人工智能 · 计算机科学 2024-08-19 Clinton Enwerem , Erfaun Noorani , John S. Baras , Brian M. Sadler

Modern stochastic optimization methods often rely on uniform sampling which is agnostic to the underlying characteristics of the data. This might degrade the convergence by yielding estimates that suffer from a high variance. A possible…

机器学习 · 统计学 2018-06-07 Zalán Borsos , Andreas Krause , Kfir Y. Levy

Targeted data selection has emerged as a crucial paradigm for efficient instruction tuning, aiming to identify a small yet influential subset of training examples for a specific target task. In practice, influence is often measured through…

机器学习 · 计算机科学 2026-05-19 Guanghui Min , Tianhao Huang , Ke Wan , Chen Chen

We study the computational complexity of approximately computing the partition function of a spin system. Techniques based on standard counting-to-sampling reductions yield $\tilde{O}(n^2)$-time algorithms, where $n$ is the size of the…

数据结构与算法 · 计算机科学 2026-04-03 Xiaoyu Chen , Zongchen Chen , Kuikui Liu , Xinyuan Zhang

Stochastic convex optimization algorithms are the most popular way to train machine learning models on large-scale data. Scaling up the training process of these models is crucial, but the most popular algorithm, Stochastic Gradient Descent…

机器学习 · 统计学 2018-10-30 Ashok Cutkosky , Robert Busa-Fekete

This paper studies an optimal control problem for continuous-time stochastic systems subject to reachability objectives specified in a subclass of metric interval temporal logic specifications, a temporal logic with real-time constraints.…

系统与控制 · 计算机科学 2015-04-21 Jie Fu , Ufuk Topcu

Fan et al. [$\mathit{Annals}$ $\mathit{of}$ $\mathit{Statistics}$ $\textbf{47}$(6) (2019) 3009-3031] constructed a distributed principal component analysis (PCA) algorithm to reduce the communication cost between multiple servers…

统计理论 · 数学 2021-10-07 Kangqiang Li , Han Bao , Lixin Zhang
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