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A crucial step in constructing a Lattice Boltzmann model is the definition of a suitable set of lattice velocities, and the correct assignment of the associated weights. For high-order models, the solution of this problem requires a…

计算物理 · 物理学 2020-04-29 Dominic Spiller , Burkhard Duenweg

In Bayesian statistical inference and computationally intensive frequentist inference, one is interested in obtaining samples from a high dimensional, and possibly multi-modal target density. The challenge is to obtain samples from this…

统计理论 · 数学 2007-06-13 Raazesh Sainudiin , Thomas L. York

We present an efficient algorithm to reduce the size of nondeterministic tree automata, while retaining their language. It is based on new transition pruning techniques, and quotienting of the state space w.r.t. suitable equivalences. It…

形式语言与自动机理论 · 计算机科学 2016-01-07 Ricardo Almeida , Lukáš Holík , Richard Mayr

We prove complex contraction for zero-free regions of counting weighted set cover problem in which an element can appear in an unbounded number of sets, thus obtaining fully polynomial-time approximation schemes(FPTAS) via Barvinok's…

数据结构与算法 · 计算机科学 2022-01-03 Liang Li , Guangzeng Xie

We extend our techniques developed in our earlier paper appeared in Computational Complexity, 2017 (preprint: arXiv:1508.00690) to obtain a deterministic polynomial time algorithm for computing the non-commutative rank together with…

计算复杂性 · 计算机科学 2018-02-06 Gábor Ivanyos , Youming Qiao , K. V. Subrahmanyam

The quintessential model-based reinforcement-learning agent iteratively refines its estimates or prior beliefs about the true underlying model of the environment. Recent empirical successes in model-based reinforcement learning with…

机器学习 · 计算机科学 2022-11-02 Dilip Arumugam , Benjamin Van Roy

We consider the online problem of minimizing weighted flow-time on unrelated machines. Although much is known about this problem in the resource-augmentation setting, these results assume that jobs can be preempted. We give the first…

数据结构与算法 · 计算机科学 2018-05-25 Anupam Gupta , Amit Kumar , Jason Li

In this paper we investigate the intrinsic sequential time complexity of universal elimination procedures for arbitrary continuous data structures encoding input and output objects of elimination theory (i.e. polynomial equation systems)…

交换代数 · 数学 2007-05-23 David Castro , Marc Giusti , Joos Heintz , Guillermo Matera , Luis Miguel Pardo

We show how rate-distortion theory provides a mechanism for automated theory building by naturally distinguishing between regularity and randomness. We start from the simple principle that model variables should, as much as possible, render…

数据分析、统计与概率 · 物理学 2016-09-08 Susanne Still , James P. Crutchfield

A Riemannian gradient descent algorithm and a truncated variant are presented to solve systems of phaseless equations $|Ax|^2=y$. The algorithms are developed by exploiting the inherent low rank structure of the problem based on the…

数值分析 · 数学 2018-09-11 Jian-Feng Cai , Ke Wei

Pairwise ordered tree alignment are combinatorial objects that appear in RNA secondary structure comparison. However, the usual representation of tree alignments as supertrees is ambiguous, i.e. two distinct supertrees may induce identical…

定量方法 · 定量生物学 2016-03-08 Cedric Chauve , Julien Courtiel , Yann Ponty

To do homological algebra with unbounded chain complexes one needs to first find a way of constructing resolutions. Spaltenstein solved this problem for chain complexes of R-modules by truncating further and further to the left, resolving…

代数拓扑 · 数学 2017-02-20 Wojciech Chacholski , Amnon Neeman , Wolfgang Pitsch , Jerome Scherer

Restricted Boltzmann machines are undirected neural networks which have been shown to be effective in many applications, including serving as initializations for training deep multi-layer neural networks. One of the main reasons for their…

无序系统与神经网络 · 物理学 2016-02-11 Marylou Gabrié , Eric W. Tramel , Florent Krzakala

We learn sensor trees from training data to minimize sensor acquisition costs during test time. Our system adaptively selects sensors at each stage if necessary to make a confident classification. We pose the problem as empirical risk…

机器学习 · 统计学 2015-09-11 Joseph Wang , Kirill Trapeznikov , Venkatesh Saligrama

We consider the problem of discriminatively learning restricted Boltzmann machines in the presence of relational data. Unlike previous approaches that employ a rule learner (for structure learning) and a weight learner (for parameter…

机器学习 · 计算机科学 2020-01-29 Navdeep Kaur , Gautam Kunapuli , Sriraam Natarajan

Partial Rejection Sampling is an algorithmic approach to obtaining a perfect sample from a specified distribution. The objects to be sampled are assumed to be represented by a number of random variables. In contrast to classical rejection…

数据结构与算法 · 计算机科学 2024-09-18 Mark Jerrum

We present an efficient phylogenetic reconstruction algorithm allowing insertions and deletions which provably achieves a sequence-length requirement (or sample complexity) growing polynomially in the number of taxa. Our algorithm is…

概率论 · 数学 2013-02-25 Constantinos Daskalakis , Sebastien Roch

Restricted Boltzmann Machines (RBMs) are a common family of undirected graphical models with latent variables. An RBM is described by a bipartite graph, with all observed variables in one layer and all latent variables in the other. We…

机器学习 · 计算机科学 2020-10-20 Guy Bresler , Rares-Darius Buhai

We study the problem of recovering an incomplete $m\times n$ matrix of rank $r$ with columns arriving online over time. This is known as the problem of life-long matrix completion, and is widely applied to recommendation system, computer…

机器学习 · 计算机科学 2016-12-04 Maria-Florina Balcan , Hongyang Zhang

Rejection Sampling is a fundamental Monte-Carlo method. It is used to sample from distributions admitting a probability density function which can be evaluated exactly at any given point, albeit at a high computational cost. However,…

机器学习 · 统计学 2018-10-23 Juliette Achdou , Joseph C. Lam , Alexandra Carpentier , Gilles Blanchard