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Recently, it has been recognized that phase transitions play an important role in the probabilistic analysis of combinatorial optimization problems. However, there are in fact many other relations that lead to close ties between computer…

统计力学 · 物理学 2007-05-23 O. C. Martin , R. Monasson , R. Zecchina

Spatially Coherent Random Forest (SCRF) extends Random Forest to create spatially coherent labeling. Each split function in SCRF is evaluated based on a traditional information gain measure that is regularized by a spatial coherency term.…

计算机视觉与模式识别 · 计算机科学 2015-12-08 Tal Remez , Shai Avidan

As clean energy demand grows to meet sustainability and net-zero goals, nuclear energy emerges as a reliable option. However, high capital costs remain a challenge for nuclear power plants (NPP), where repurposing coal power plant sites…

计算工程、金融与科学 · 计算机科学 2025-04-02 Omer Erdem , Kevin Daley , Gabrielle Hoelzle , Majdi I. Radaideh

The Euclidean Steiner tree problem, normally posed in two dimensions, seeks to connect a set of prescribed terminal nodes by placing additional nodes, known as Steiner points, with edges connecting such nodes either to another Steiner point…

系统与控制 · 电气工程与系统科学 2026-04-24 Manou Rosenberg , Mengbin Ye , Brian D. O. Anderson

We describe a combinatorial approach for investigating properties of rational numbers. The overall approach rests on structural bijections between rational numbers and familiar combinatorial objects, namely rooted trees. We emphasize that…

组合数学 · 数学 2012-01-13 Edinah K. Gnang , Chetan Tonde

Neural Radiance Field (NeRF) and its variants have recently emerged as successful methods for novel view synthesis and 3D scene reconstruction. However, most current NeRF models either achieve high accuracy using large model sizes, or…

计算机视觉与模式识别 · 计算机科学 2024-10-16 Shiran Yuan , Hao Zhao

Recent years have witnessed rapid advances in the use of neural networks to solve combinatorial optimization problems. Nevertheless, designing the "right" neural model that can effectively handle a given optimization problem can be…

人工智能 · 计算机科学 2023-12-21 Andrew B. Kahng , Robert R. Nerem , Yusu Wang , Chien-Yi Yang

In [18], Mozerov et al. propose to perform stereo matching as a two-step energy minimization problem. For the first step they solve a fully connected MRF model. And in the next step the marginal output is employed as the unary cost for a…

计算机视觉与模式识别 · 计算机科学 2016-02-15 Hongyang Xue , Deng Cai

Adaptive importance sampling for stochastic optimization is a promising approach that offers improved convergence through variance reduction. In this work, we propose a new framework for variance reduction that enables the use of mixtures…

机器学习 · 计算机科学 2019-04-01 Zalán Borsos , Sebastian Curi , Kfir Y. Levy , Andreas Krause

In this paper we relate the partition function to the max-statistics of random variables. In particular, we provide a novel framework for approximating and bounding the partition function using MAP inference on randomly perturbed models. As…

机器学习 · 计算机科学 2012-07-03 Tamir Hazan , Tommi Jaakkola

Effective therapy of complex diseases requires control of highly non-linear complex networks that remain incompletely characterized. In particular, drug intervention can be seen as control of signaling in cellular networks. Identification…

We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is…

数值分析 · 数学 2020-08-11 Daniel Drzisga , Brendan Keith , Barbara Wohlmuth

In this work, we consider a method of searching of the direction of a wireless network development (the places of new access points or base stations etc.) optimized with criteria of coverage of important territories and minimum cost of…

网络与互联网体系结构 · 计算机科学 2012-09-03 Lev Kazakovtsev

We describe a new technique for computing lower-bounds on the minimum energy configuration of a planar Markov Random Field (MRF). Our method successively adds large numbers of constraints and enforces consistency over binary projections of…

机器学习 · 计算机科学 2012-02-20 Julian Yarkony , Ragib Morshed , Alexander T. Ihler , Charless C. Fowlkes

Dynamic programming on tree decompositions is a frequently used approach to solve otherwise intractable problems on instances of small treewidth. In recent work by Bodlaender et al., it was shown that for many connectivity problems, there…

数据结构与算法 · 计算机科学 2013-06-03 Stefan Fafianie , Hans L. Bodlaender , Jesper Nederlof

To solve complex real-world problems, heuristics and concept-based approaches can be used in order to incorporate information into the problem. In this study, a concept-based approach called variable functioning Fx is introduced to reduce…

计算工程、金融与科学 · 计算机科学 2022-05-17 Amir H Gandomi , Kalyanmoy Deb , Ronald C Averill , Shahryar Rahnamayan , Mohammad Nabi Omidvar

Stochastic First-Order (SFO) methods have been a cornerstone in addressing a broad spectrum of modern machine learning (ML) challenges. However, their efficacy is increasingly questioned, especially in large-scale applications where…

机器学习 · 计算机科学 2024-08-01 Di Zhang , Suvrajeet Sen

We propose a framework for optimization of the chemical composition of multinary compounds with the aid of machine learning. The scheme is based on first-principles calculation using the Korringa-Kohn-Rostoker method and the coherent…

材料科学 · 物理学 2019-06-05 Taro Fukazawa , Yosuke Harashima , Zhufeng Hou , Takashi Miyake

Optimization over the Stiefel manifold is a fundamental computational problem in many scientific and engineering applications. Despite considerable research effort, high-dimensional optimization problems over the Stiefel manifold remain…

最优化与控制 · 数学 2025-05-16 Andy Yat-Ming Cheung , Jinxin Wang , Man-Chung Yue , Anthony Man-Cho So

The area of topology optimization of continuum structures of which is allowed to change in order to improve the performance is now dominated by methods that employ the material distribution concept. The typical methods of the topology…

计算工程、金融与科学 · 计算机科学 2013-09-24 Jun-ichi Koga , Jiro Koga , Shunji Homma