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Compact and discriminative visual codebooks are preferred in many visual recognition tasks. In the literature, a number of works have taken the approach of hierarchically merging visual words of an initial large-sized codebook, but…

Computer Vision and Pattern Recognition · Computer Science 2014-01-31 Lingqiao Liu , Lei Wang , Chunhua Shen

We consider the well-studied problem of finding a spanning tree with minimum average distance between vertex pairs (called a MAD tree). This is a classic network design problem which is known to be NP-hard. While approximation algorithms…

Data Structures and Algorithms · Computer Science 2026-04-01 Tom-Lukas Breitkopf , Vincent Froese , Anton Herrmann , André Nichterlein , Camille Richer

We extend the notion of lossy kernelization, introduced by Lokshtanov et al. [STOC 2017], to approximate Turing kernelization. An $\alpha$-approximate Turing kernel for a parameterized optimization problem is a polynomial-time algorithm…

Data Structures and Algorithms · Computer Science 2020-04-28 Eva-Maria C. Hols , Stefan Kratsch , Astrid Pieterse

We present a method for reducing the treewidth of a graph while preserving all the minimal $s-t$ separators. This technique turns out to be very useful for establishing the fixed-parameter tractability of constrained separation and…

Data Structures and Algorithms · Computer Science 2010-02-03 Dániel Marx , Barry O'Sullivan , Igor Razgon

In this work we contribute to the study of the fine-grained complexity of problems parameterized by multi-clique-width, which was initiated by F\"urer [ITCS 2017] and pursued further by Chekan and Kratsch [MFCS 2023]. Multi-clique-width is…

Data Structures and Algorithms · Computer Science 2026-04-29 Benjamin Bergougnoux , Vera Chekan , Stefan Kratsch

Structural parameters of graph (such as degeneracy and arboricity) had rarely been considered when designing algorithms for $\textit{(edge) clique cover}$ problems. Taking degeneracy of graph into account, we present a greedy framework and…

Data Structures and Algorithms · Computer Science 2022-09-07 Ahammed Ullah

We give an algorithm that for an input n-vertex graph G and integer k>0, in time 2^[O(k)]n either outputs that the treewidth of G is larger than k, or gives a tree decomposition of G of width at most 5k+4. This is the first algorithm…

Data Structures and Algorithms · Computer Science 2013-04-24 Hans Bodlaender , Pål G. Drange , Markus S. Dregi , Fedor V. Fomin , Daniel Lokshtanov , Michał Pilipczuk

We propose a novel algorithm for monocular depth estimation that decomposes a metric depth map into a normalized depth map and scale features. The proposed network is composed of a shared encoder and three decoders, called G-Net, N-Net, and…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Jinyoung Jun , Jae-Han Lee , Chul Lee , Chang-Su Kim

The linear induced matching width (LMIM-width) of a graph is a width parameter defined by using the notion of branch-decompositions of a set function on ternary trees. In this paper we study output-polynomial enumeration algorithms on…

Data Structures and Algorithms · Computer Science 2015-09-16 Petr A. Golovach , Pinar Heggernes , Mamadou Moustapha Kanté , Dieter Kratsch , Sigve H. Sæther , Yngve Villanger

Binary decompilation aims to recover binaries into high-level source code, but existing evaluations mainly rely on syntactic similarity or single-axis readability metrics, which fail to capture practical reusability. We propose a…

Software Engineering · Computer Science 2026-05-29 Puzhuo Liu , Yuhan Huang , Jianlei Chi , Peng Di , Yu Jiang

Cliquewidth is a dense analogue of treewidth. It can be deduced from recent results by Hickingbotham [arXiv:2501.10840] and Nguyen, Scott, and Seymour [arXiv:2501.09839] that graphs of bounded cliquewidth are quasi-isometric to graphs of…

Combinatorics · Mathematics 2025-05-26 Marc Distel

Tensor networks are powerful factorization techniques which reduce resource requirements for numerically simulating principal quantum many-body systems and algorithms. The computational complexity of a tensor network simulation depends on…

Data Structures and Algorithms · Computer Science 2019-03-06 Eugene F. Dumitrescu , Allison L. Fisher , Timothy D. Goodrich , Travis S. Humble , Blair D. Sullivan , Andrew L. Wright

Constrained coding plays a key role in optimizing performance and mitigating errors in applications such as storage and communication, where specific constraints on codewords are required. While non-parametric constraints have been…

Information Theory · Computer Science 2025-05-05 Daniella Bar-Lev , Michael Shlizerman

Fully convolutional U-shaped neural networks have largely been the dominant approach for pixel-wise image segmentation. In this work, we tackle two defects that hinder their deployment in real-world applications: 1) Predictions lack…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Martin Ferianc , Divyansh Manocha , Hongxiang Fan , Miguel Rodrigues

We study the parameterized complexity of computing the tree-partition-width, a graph parameter equivalent to treewidth on graphs of bounded maximum degree. On one hand, we can obtain approximations of the tree-partition-width efficiently:…

Discrete Mathematics · Computer Science 2025-02-19 Hans L. Bodlaender , Carla Groenland , Hugo Jacob

We present an axiomatic framework for analyzing the algorithmic properties of decision trees. This framework supports the classification of decision tree problems through structural and ancestral constraints within a rigorous mathematical…

Machine Learning · Computer Science 2025-10-24 Xi He , Max A. Little

Many different deep networks have been used to approximate, accelerate or improve traditional image operators, such as image smoothing, super-resolution and denoising. Among these traditional operators, many contain parameters which need to…

Computer Vision and Pattern Recognition · Computer Science 2018-08-10 Qingnan Fan , Dongdong Chen , Lu Yuan , Gang Hua , Nenghai Yu , Baoquan Chen

Benders' decomposition (BD) is a framework for solving optimization problems by removing some variables and modeling their contribution to the original problem via so-called Benders cuts. While many advanced optimization techniques can be…

Optimization and Control · Mathematics 2025-12-18 Christopher Hojny , Cédric Roy

In this paper, we present a Branch and Bound algorithm called QuickBB for computing the treewidth of an undirected graph. This algorithm performs a search in the space of perfect elimination ordering of vertices of the graph. The algorithm…

Data Structures and Algorithms · Computer Science 2012-07-19 Vibhav Gogate , Rina Dechter

We introduce harmonization, an ensembling method that combines several "noisy" decoders to generate highly accurate decoding predictions. Harmonized ensembles of MWPM-based decoders achieve lower logical error rates than their individual…

Quantum Physics · Physics 2024-03-18 Noah Shutty , Michael Newman , Benjamin Villalonga