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We present formalized proofs verifying that the first-order unification algorithm defined over lists of satisfiable constraints generates a most general unifier (MGU), which also happens to be idempotent. All of our proofs have been…

计算机科学中的逻辑 · 计算机科学 2010-12-23 Sunil Kothari , James Caldwell

The performance of a reinforcement learning algorithm can vary drastically during learning because of exploration. Existing algorithms provide little information about the quality of their current policy before executing it, and thus have…

机器学习 · 计算机科学 2019-05-29 Christoph Dann , Lihong Li , Wei Wei , Emma Brunskill

We present a novel preconditioning technique for proximal optimization methods that relies on graph algorithms to construct effective preconditioners. Such combinatorial preconditioners arise from partitioning the graph into forests. We…

最优化与控制 · 数学 2018-02-22 Thomas Möllenhoff , Zhenzhang Ye , Tao Wu , Daniel Cremers

In this work, we provide an upper bound for global certification of graph homomorphism, a generalization of graph coloring. In certification, the nodes of a network should decide if the network satisfies a given property, thanks to small…

分布式、并行与集群计算 · 计算机科学 2024-02-07 Nicolas Bousquet , Laurent Feuilloley , Sébastien Zeitoun

In this work we study approximation algorithms for the \textit{Bounded Color Matching} problem (a.k.a. Restricted Matching problem) which is defined as follows: given a graph in which each edge $e$ has a color $c_e$ and a profit $p_e \in…

数据结构与算法 · 计算机科学 2013-11-22 Monaldo Mastrolilli , Georgios Stamoulis

Many real-world applications involve black-box optimization of multiple objectives using continuous function approximations that trade-off accuracy and resource cost of evaluation. For example, in rocket launching research, we need to find…

机器学习 · 统计学 2020-11-24 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

We propose a new no-go theorem by proving the impossibility of constructing a deterministic quantum circuit that iterates a unitary oracle by calling it only once. Different schemes are provided to bypass this result and to approximately…

量子物理 · 物理学 2016-01-28 Mehdi Soleimanifar , Vahid Karimipour

We introduce a new topological encoding of executions of round-based, full-information distributed protocols via spectral spaces. Such protocols constitute a model of distributed computations which are functorially presented and englobe…

分布式、并行与集群计算 · 计算机科学 2026-05-12 Cameron Calk , Emmanuel Godard

A pseudorandom code is a keyed error-correction scheme with the property that any polynomial number of encodings appear random to any computationally bounded adversary. We show that the pseudorandomness of any code tolerating a constant…

密码学与安全 · 计算机科学 2025-10-01 Sanjam Garg , Sam Gunn , Mingyuan Wang

An effective technique for solving optimization problems over massive data sets is to partition the data into smaller pieces, solve the problem on each piece and compute a representative solution from it, and finally obtain a solution…

数据结构与算法 · 计算机科学 2015-06-23 Vahab Mirrokni , Morteza Zadimoghaddam

A recent trend in multi-party computation is to achieve cryptographic fairness via monetary penalties, i.e. each honest player either obtains the output or receives a compensation in the form of a cryptocurrency. We pioneer another type of…

密码学与安全 · 计算机科学 2022-08-12 Daniele Friolo , Fabio Massacci , Chan Nam Ngo , Daniele Venturi

In this paper we design a new primal-dual algorithm for the classic discrete optimization problem of maximizing a monotone submodular function subject to a cardinality constraint achieving the optimal approximation of $(1-1/e)$. This…

数据结构与算法 · 计算机科学 2023-11-15 Deeparnab Chakrabarty , Luc Cote

Polynomial, or Delsarte's, method in coding theory accounts for a variety of structural results on, and bounds on the size of, extremal configurations (codes and designs) in various metric spaces. In recent works of the authors the…

组合数学 · 数学 2007-07-16 A. Ashikhmin , A. Barg , S. Litsyn

A new class of folded subspace codes for noncoherent network coding is presented. The codes can correct insertions and deletions beyond the unique decoding radius for any code rate $R\in[0,1]$. An efficient interpolation-based decoding…

信息论 · 计算机科学 2015-04-22 Hannes Bartz , Vladimir Sidorenko

We consider a periodic-review, fixed-lifetime perishable inventory control problem where demand is a general stochastic process. The optimal solution for this problem is intractable due to "curse of dimensionality". In this paper, we first…

最优化与控制 · 数学 2016-05-10 Can Zhang , Turgay Ayer , Chelsea C. White

We show that every universally truthful randomized mechanism for combinatorial auctions with submodular valuations that provides $m^{\frac 1 2 -\epsilon}$ approximation to the social welfare and uses value queries only must use…

计算机科学与博弈论 · 计算机科学 2015-03-17 Shahar Dobzinski

Large-scale online service platforms face severe challenges from organized platform abuse: multiple forms such as credit card fraud and promotion abuse continually emerge, characterized by large numbers of involved accounts, rapid…

密码学与安全 · 计算机科学 2026-05-11 Meng He , Jia Long Loh

Bayesian optimization has emerged as a prominent methodology for optimizing expensive black-box functions by leveraging Gaussian process surrogates, which focus on capturing the global characteristics of the objective function. However, in…

机器学习 · 计算机科学 2026-03-03 Qiyu Wei , Haowei Wang , Richard Allmendinger , Mauricio A. Álvarez

This paper presents a method called sampling-computation-optimization (SCO) to design batch Bayesian optimization. SCO does not construct new high-dimensional acquisition functions but samples from the existing one-site acquisition function…

最优化与控制 · 数学 2022-02-22 Kai Jia , Xiaojun Duan , Zhengming Wang , Liang Yan

In the certification problem, the algorithm is given a function $f$ with certificate complexity $k$ and an input $x^\star$, and the goal is to find a certificate of size $\le \text{poly}(k)$ for $f$'s value at $x^\star$. This problem is in…

计算复杂性 · 计算机科学 2022-11-07 Guy Blanc , Caleb Koch , Jane Lange , Carmen Strassle , Li-Yang Tan