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In the Tree Deletion Set problem the input is a graph G together with an integer k. The objective is to determine whether there exists a set S of at most k vertices such that G-S is a tree. The problem is NP-complete and even NP-hard to…

Data Structures and Algorithms · Computer Science 2013-10-01 Archontia C. Giannopoulou , Daniel Lokshtanov , Saket Saurabh , Ondrej Suchy

Pruning the weights of randomly initialized neural networks plays an important role in the context of lottery ticket hypothesis. Ramanujan et al. (2020) empirically showed that only pruning the weights can achieve remarkable performance…

Machine Learning · Computer Science 2022-04-06 Daiki Chijiwa , Shin'ya Yamaguchi , Yasutoshi Ida , Kenji Umakoshi , Tomohiro Inoue

We introduce a new phylogenetic reconstruction algorithm which, unlike most previous rigorous inference techniques, does not rely on assumptions regarding the branch lengths or the depth of the tree. The algorithm returns a forest which is…

Populations and Evolution · Quantitative Biology 2011-09-30 Constantinos Daskalakis , Elchanan Mossel , Sebastien Roch

The problem of selecting a small, yet high quality subset of patterns from a larger collection of itemsets has recently attracted lot of research. Here we discuss an approach to this problem using the notion of decomposable families of…

Machine Learning · Computer Science 2020-06-18 Nikolaj Tatti , Hannes Heikinheimo

We propose a new point-based method for approximate planning in Dec-POMDP which outperforms the state-of-the-art approaches in terms of solution quality. It uses a heuristic estimation of the prior probability of beliefs to choose a bounded…

Artificial Intelligence · Computer Science 2012-03-19 Gabriel Corona , Francois Charpillet

The treedepth of a graph $G$ is the least possible depth of an elimination forest of $G$: a rooted forest on the same vertex set where every pair of vertices adjacent in $G$ is bound by the ancestor/descendant relation. We propose an…

Data Structures and Algorithms · Computer Science 2022-05-06 Wojciech Nadara , Michał Pilipczuk , Marcin Smulewicz

Tree-width and path-width are widely successful concepts. Many NP-hard problems have efficient solutions when restricted to graphs of bounded tree-width. Many efficient algorithms are based on a tree decomposition. Sometimes the more…

Data Structures and Algorithms · Computer Science 2016-06-22 Martin Fürer

Artificial neural network pruning is a method in which artificial neural network sizes can be reduced while attempting to preserve the predicting capabilities of the network. This is done to make the model smaller or faster during inference…

Machine Learning · Computer Science 2025-05-21 Alexandre Broggi , Nathaniel Bastian , Lance Fiondella , Gokhan Kul

Rotation distance between rooted binary trees measures the number of simple operations it takes to transform one tree into another. There are no known polynomial-time algorithms for computing rotation distance. We give an efficient,…

Data Structures and Algorithms · Computer Science 2018-03-19 Sean Cleary , Katherine St. John

The problem of deciding whether CSP instances admit solutions has been deeply studied in the literature, and several structural tractability results have been derived so far. However, constraint satisfaction comes in practice as a…

Artificial Intelligence · Computer Science 2013-07-19 Gianluigi Greco , Francesco Scarcello

This paper describes a generalization of previous methods for constructing tree-structured belief network with hidden variables. The major new feature of the described method is the ability to produce a tree decomposition even when there…

Artificial Intelligence · Computer Science 2013-04-05 L. Liu , Y. Ma , D. Wilkins , Z. Bian , X. Ying

Lottery ticket hypothesis for deep neural networks emphasizes the importance of initialization used to re-train the sparser networks obtained using the iterative magnitude pruning process. An explanation for why the specific initialization…

Machine Learning · Computer Science 2024-06-26 Tausifa Jan Saleem , Ramanjit Ahuja , Surendra Prasad , Brejesh Lall

We present a new approximation algorithm for the treewidth problem which finds an upper bound on the treewidth and constructs a corresponding tree decomposition as well. Our algorithm is a faster variation of Reed's classical algorithm. For…

Data Structures and Algorithms · Computer Science 2022-06-24 Mahdi Belbasi , Martin Fürer

Programmatically generating tight differential privacy (DP) bounds is a hard problem. Two core challenges are (1) finding expressive, compact, and efficient encodings of the distributions of DP algorithms, and (2) state space explosion…

Cryptography and Security · Computer Science 2024-10-02 Lisa Oakley , Steven Holtzen , Alina Oprea

Pretrained Deep Neural Networks (DNNs), developed from extensive datasets to integrate multifaceted knowledge, are increasingly recognized as valuable intellectual property (IP). To safeguard these models against IP infringement, strategies…

Machine Learning · Computer Science 2024-10-11 Ruyi Ding , Lili Su , Aidong Adam Ding , Yunsi Fei

This study addresses the predictive limitation of probabilistic circuits and introduces transformations as a remedy to overcome it. We demonstrate this limitation in robotic scenarios. We motivate that independent component analysis is a…

Machine Learning · Statistics 2023-10-09 Tom Schierenbeck , Vladimir Vutov , Thorsten Dickhaus , Michael Beetz

Many probabilistic inference tasks involve summations over exponentially large sets. Recently, it has been shown that these problems can be reduced to solving a polynomial number of MAP inference queries for a model augmented with randomly…

Artificial Intelligence · Computer Science 2013-09-27 Stefano Ermon , Carla P. Gomes , Ashish Sabharwal , Bart Selman

The Weighted Tree Augmentation Problem (WTAP) is a fundamental network design problem where the goal is to find a minimum-cost set of additional edges (links) to make an input tree 2-edge-connected. While a 2-approximation is standard and…

Data Structures and Algorithms · Computer Science 2026-04-01 Vincent Cohen-Addad , Marina Drygala , Nathan Klein , Ola Svensson

Neural network pruning techniques reduce the number of parameters without compromising predicting ability of a network. Many algorithms have been developed for pruning both over-parameterized fully-connected networks (FCNs) and…

Machine Learning · Computer Science 2021-05-24 Xin Qian , Diego Klabjan

The subtree prune-and-regraft (SPR) distance metric is a fundamental way of comparing evolutionary trees. It has wide-ranging applications, such as to study lateral genetic transfer, viral recombination, and Markov chain Monte Carlo…

Discrete Mathematics · Computer Science 2016-11-09 Chris Whidden , Frederick A. Matsen