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Quantum algorithms for unstructured search problems rely on the preparation of a uniform superposition, traditionally achieved through Hadamard gates. However, this incidentally creates an auxiliary search space consisting of nonsensical…

量子物理 · 物理学 2024-04-30 Mark Ariel Levin

The dramatic improvements in combinatorial optimization algorithms over the last decades have had a major impact in artificial intelligence, operations research, and beyond, but the output of current state-of-the-art solvers is often hard…

计算机科学中的逻辑 · 计算机科学 2022-09-27 Stephan Gocht , Jakob Nordström

Three candidate approaches for univariate sumcheck over roots of unity are presented. The first takes the form of a multilinear evaluation protocol, which can be combined with the standard multivariate sumcheck protocol. The other two are…

密码学与安全 · 计算机科学 2026-03-24 Malcom Mohamed

When applying Machine Learning techniques to problems, one must select model parameters to ensure that the system converges but also does not become stuck at the objective function's local minimum. Tuning these parameters becomes a…

机器学习 · 统计学 2017-11-16 Lawrence Stewart , Mark Stalzer

Unsupervised hashing methods have attracted widespread attention with the explosive growth of large-scale data, which can greatly reduce storage and computation by learning compact binary codes. Existing unsupervised hashing methods attempt…

计算机视觉与模式识别 · 计算机科学 2023-01-09 Huibing Wang , Mingze Yao , Guangqi Jiang , Zetian Mi , Xianping Fu

Anti-unification in logic programming refers to the process of capturing common syntactic structure among given goals, computing a single new goal that is more general called a generalization of the given goals. Finding an arbitrary common…

计算复杂性 · 计算机科学 2021-10-22 Gonzague Yernaux , Wim Vanhoof

Recently exposed vulnerabilities reveal the necessity to improve the security of branch predictors. Branch predictors record history about the execution of different programs, and such information from different processes are stored in the…

密码学与安全 · 计算机科学 2020-05-20 Lutan Zhao , Peinan Li , Rui Hou , Michael C. Huang , Jiazhen Li , Lixin Zhang , Xuehai Qian , Dan Meng

For unsupervised data-dependent hashing, the two most important requirements are to preserve similarity in the low-dimensional feature space and to minimize the binary quantization loss. A well-established hashing approach is Iterative…

计算机视觉与模式识别 · 计算机科学 2019-11-14 Tuan Hoang , Thanh-Toan Do , Huu Le , Dang-Khoa Le-Tan , Ngai-Man Cheung

In the oracle identification problem, we are given oracle access to an unknown N-bit string x promised to belong to a known set C of size M and our task is to identify x. We present a quantum algorithm for the problem that is optimal in its…

量子物理 · 物理学 2014-04-24 Robin Kothari

Computer-aided analysis of security protocols heavily relies on equational theories to model cryptographic primitives. Most automated verifiers for security protocols focus on equational theories that satisfy the Finite Variant Property…

密码学与安全 · 计算机科学 2024-10-22 Vincent Cheval , Caroline Fontaine

Algorithms based on non-unitary evolution have attracted much interest for ground state preparation on quantum computers. One recently proposed method makes use of ancilla qubits and controlled unitary operators to implement weak…

量子物理 · 物理学 2025-12-25 Tobias Stollenwerk , Stuart Hadfield

In this work, we provide a fundamental unified convergence theorem used for deriving expected and almost sure convergence results for a series of stochastic optimization methods. Our unified theorem only requires to verify several…

最优化与控制 · 数学 2022-10-20 Xiao Li , Andre Milzarek

Classification and clustering algorithms have been proved to be successful individually in different contexts. Both of them have their own advantages and limitations. For instance, although classification algorithms are more powerful than…

机器学习 · 计算机科学 2017-08-30 Tanmoy Chakraborty

In this paper, we introduce a unified framework for analyzing a large family of Q-learning algorithms, based on switching system perspectives and ODE-based stochastic approximation. We show that the nonlinear ODE models associated with…

最优化与控制 · 数学 2021-02-18 Donghwan Lee , Niao He

Quantum information brings together theories of physics and computer science. This synthesis challenges the basic intuitions of both fields. In this thesis, we show that adopting a unified and general language for process theories advances…

量子物理 · 物理学 2015-12-29 William Zeng

Equational unification of two terms consists of finding a substitution that, when applied to both terms, makes them equal modulo some equational properties. A narrowing-based equational unification algorithm relying on the concept of the…

计算机科学中的逻辑 · 计算机科学 2020-09-24 Damián Aparicio-Sánchez , Santiago Escobar , Julia Sapiña

Integrating a product of linear forms over the unit simplex can be done in polynomial time if the number of variables n is fixed (V. Baldoni et al., 2011). In this note, we highlight that this problem is equivalent to obtaining the…

性能 · 计算机科学 2026-03-16 Giuliano Casale

With 95% of Internet traffic now encrypted, an effective approach to classifying this traffic is crucial for network security and management. This paper introduces ECHO -- a novel optimization process for ML/DL-based encrypted traffic…

网络与互联网体系结构 · 计算机科学 2024-07-11 Shilo Daum , Tal Shapira , Anat Bremler-Barr , David Hay

We give new quantum algorithms for evaluating composed functions whose inputs may be shared between bottom-level gates. Let $f$ be an $m$-bit Boolean function and consider an $n$-bit function $F$ obtained by applying $f$ to conjunctions of…

量子物理 · 物理学 2021-09-22 Mark Bun , Robin Kothari , Justin Thaler

Parametric optimal control problems governed by partial differential equations (PDEs) are widely found in scientific and engineering applications. Traditional grid-based numerical methods for such problems generally require repeated…

最优化与控制 · 数学 2023-02-07 Pengfei Yin , Guangqiang Xiao , Kejun Tang , Chao Yang