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A physical limitation in quantum circuit design is the fact that gates in a quantum system can only act on qubits that are physically adjacent in the architecture. To overcome this problem, SWAP gates need to be inserted to make the circuit…

Optimization and Control · Mathematics 2025-08-28 Frank de Meijer , Dion Gijswijt , Renata Sotirov

Normalized graph cut (NGC) has become a popular research topic due to its wide applications in a large variety of areas like machine learning and very large scale integration (VLSI) circuit design. Most of traditional NGC methods are based…

Machine Learning · Computer Science 2015-11-10 Cong Xie , Wu-Jun Li , Zhihua Zhang

This paper presents a systematic approach for computing local solutions to motion planning problems in non-convex environments using numerical optimal control techniques. It extends the range of use of state-of-the-art numerical optimal…

Optimization and Control · Mathematics 2017-10-03 Kristoffer Bergman , Daniel Axehill

Subgraph queries also known as subgraph isomorphism search is a fundamental problem in querying graph-like structured data. It consists to enumerate the subgraphs of a data graph that match a query graph. This problem arises in many…

Databases · Computer Science 2018-07-11 C. Nabti , T. Mecharnia , S. E. Boukhetta , H. Seba , K. Amrouche

Manifold regularization methods for matrix factorization rely on the cluster assumption, whereby the neighborhood structure of data in the input space is preserved in the factorization space. We argue that using the k-neighborhoods of all…

Machine Learning · Computer Science 2020-10-21 Priya Mani , Carlotta Domeniconi , Igor Griva

CLIP retrieval is typically framed as a pointwise similarity problem in a shared embedding space. While CLIP achieves strong global cross-modal alignment, many retrieval failures arise from local geometric inconsistencies: nearby items are…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Nirmalendu Prakash , Narmeen Fatimah Oozeer , Xin Su , Phillip Howard , Shaan Shah , Zoe Wanying He , Shuang Wu , Shivam Raval , Roy Ka-Wei Lee , Meenakshi Khosla , Amir Abdullah

A hybrid block copolymer(BCP) nanocomposite computational model is proposed to study nanoparticles(NPs) with a generalised shape including squares, rectangles and rhombus. Simulations are used to study the role of anisotropy in the assembly…

Soft Condensed Matter · Physics 2019-10-28 Javier Diaz , Marco Pinna , Andrei V. Zvelindovsky , Ignacio Pagonabarraga

Structural heterogeneity between knowledge graphs is an outstanding challenge for entity alignment. This paper presents Neighborhood Matching Network (NMN), a novel entity alignment framework for tackling the structural heterogeneity…

Computation and Language · Computer Science 2020-05-13 Yuting Wu , Xiao Liu , Yansong Feng , Zheng Wang , Dongyan Zhao

Time series are often complex and rich in information but sparsely labeled and therefore challenging to model. In this paper, we propose a self-supervised framework for learning generalizable representations for non-stationary time series.…

Machine Learning · Computer Science 2021-06-03 Sana Tonekaboni , Danny Eytan , Anna Goldenberg

Mixture models are a standard approach to dealing with heterogeneous data with non-i.i.d. structure. However, when the dimension $p$ is large relative to sample size $n$ and where either or both of means and covariances/graphical models may…

Machine Learning · Statistics 2019-02-25 Bernd Taschler , Frank Dondelinger , Sach Mukherjee

This paper proposes a local search algorithm for a specific combinatorial optimisation problem in graph theory: the Hamiltonian Completion Problem (HCP) on undirected graphs. In this problem, the objective is to add as few edges as possible…

Discrete Mathematics · Computer Science 2020-07-03 Jorik Jooken , Pieter Leyman , Patrick De Causmaecker

Conformal prediction (CP) is a powerful framework for uncertainty quantification, generating prediction sets with coverage guarantees. Split conformal prediction relies on labeled data in the calibration procedure. However, the labeled data…

Machine Learning · Computer Science 2026-03-11 Xuanning Zhou , Zihao Shi , Hao Zeng , Xiaobo Xia , Bingyi Jing , Hongxin Wei

Probabilistic graphic model is an elegant framework to compactly present complex real-world observations by modeling uncertainty and logical flow (conditionally independent factors). In this paper, we present a probabilistic framework of…

Information Retrieval · Computer Science 2017-01-06 Jun Wang , Qiang Tang

Calculation of near-neighbor interactions among high dimensional, irregularly distributed data points is a fundamental task to many graph-based or kernel-based machine learning algorithms and applications. Such calculations, involving…

Many applications benefit from theory relevant to the identification of variables having large correlations or partial correlations in high dimension. Recently there has been progress in the ultra-high dimensional setting when the sample…

Statistics Theory · Mathematics 2022-08-25 Yun Wei , Bala Rajaratnam , Alfred O. Hero

Distance based knowledge graph embedding methods show promising results on link prediction task, on which two topics have been widely studied: one is the ability to handle complex relations, such as N-to-1, 1-to-N and N-to-N, the other is…

Computation and Language · Computer Science 2021-05-19 Linlin Chao , Jianshan He , Taifeng Wang , Wei Chu

Packing optimization is a prevalent problem that necessitates robust and efficient algorithms that are also simple to implement. One group of approaches is the raster methods, which rely on approximating the objects with pixelated…

Computational Geometry · Computer Science 2020-12-10 Gokhan Serhat

Range closest-pair (RCP) search is a range-search variant of the classical closest-pair problem, which aims to store a given set $S$ of points into some space-efficient data structure such that when a query range $Q$ is specified, the…

Computational Geometry · Computer Science 2019-05-06 Timothy M. Chan , Saladi Rahul , Jie Xue

In this paper, we propose a robust and efficient end-to-end non-local spatial propagation network for depth completion. The proposed network takes RGB and sparse depth images as inputs and estimates non-local neighbors and their affinities…

Computer Vision and Pattern Recognition · Computer Science 2020-07-21 Jinsun Park , Kyungdon Joo , Zhe Hu , Chi-Kuei Liu , In So Kweon

In this paper, we propose a novel self-supervised representation learning by taking advantage of a neighborhood-relational encoding (NRE) among the training data. Conventional unsupervised learning methods only focused on training deep…

Computer Vision and Pattern Recognition · Computer Science 2019-08-29 Mohammad Sabokrou , Mohammad Khalooei , Ehsan Adeli