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Geometric deep learning organises neural architectures around the symmetries of their data domain, with the choice of symmetry group serving as a geometric prior that determines what representations can be learned. Metric-Aware Principal…

机器学习 · 计算机科学 2026-05-28 Michael Leznik

This work introduces a number of algebraic topology approaches, such as multicomponent persistent homology, multi-level persistent homology and electrostatic persistence for the representation, characterization, and description of small…

定量方法 · 定量生物学 2018-02-07 Zixuan Cang , Lin Mu , Guowei Wei

Data-driven methods based on machine learning have the potential to accelerate computational analysis of atomic structures. In this context, reliable uncertainty estimates are important for assessing confidence in predictions and enabling…

机器学习 · 计算机科学 2021-11-04 Jonas Busk , Peter Bjørn Jørgensen , Arghya Bhowmik , Mikkel N. Schmidt , Ole Winther , Tejs Vegge

Conventional wisdom of materials modelling stipulates that both chemical composition and crystal structure are integral in the prediction of physical properties. However, recent developments challenge this by reporting accurate…

材料科学 · 物理学 2022-06-29 Siyu Isaac Parker Tian , Aron Walsh , Zekun Ren , Qianxiao Li , Tonio Buonassisi

Reconstructing 3D objects from 2D images is both challenging for our brains and machine learning algorithms. To support this spatial reasoning task, contextual information about the overall shape of an object is critical. However, such…

计算机视觉与模式识别 · 计算机科学 2022-09-19 Dominik J. E. Waibel , Scott Atwell , Matthias Meier , Carsten Marr , Bastian Rieck

Approximating functions of a large number of variables poses particular challenges often subsumed under the term ``Curse of Dimensionality'' (CoD). Unless the approximated function exhibits a very high level of smoothness the CoD can be…

数值分析 · 数学 2023-06-16 Wolfgang Dahmen

Planar homography, with eight degrees of freedom (DOFs), is fundamental in numerous computer vision tasks. While the positional offsets of four corners are widely adopted (especially in neural network predictions), this parameterization…

计算机视觉与模式识别 · 计算机科学 2025-05-26 Yao Huang , Si-Yuan Cao , Yaqing Ding , Hao Yin , Shibin Xie , Shuting Wang , Zhijun Fang , Jiachun Wang , Shen Cai , Junchi Yan , Shuhan Shen

Deep learning methods have demonstrated outstanding performances on classification and regression tasks on homogeneous data types (e.g., image, audio, and text data). However, tabular data still pose a challenge, with classic machine…

机器学习 · 计算机科学 2023-11-15 Antonio Briola , Yuanrong Wang , Silvia Bartolucci , Tomaso Aste

This research leverages Conformal Prediction (CP) in the form of Conformal Predictive Systems (CPS) to accurately estimate uncertainty in a suite of machine learning (ML)-based radio metric models [1] as well as in a 2-D map-based ML path…

机器学习 · 计算机科学 2025-01-14 Alexis Bose , Jonathan Ethier , Ryan G. Dempsey , Yifeng Qiu

Predicting drug efficacy and safety in vivo requires information on biological responses (e.g., cell morphology and gene expression) to small molecule perturbations. However, current molecular representation learning methods do not provide…

机器学习 · 计算机科学 2024-10-04 Gang Liu , Srijit Seal , John Arevalo , Zhenwen Liang , Anne E. Carpenter , Meng Jiang , Shantanu Singh

Until quite recently, the backbone of nearly every state-of-the-art computer vision model has been the 2D convolution. At its core, a 2D convolution simultaneously mixes information across both the spatial and channel dimensions of a…

计算机视觉与模式识别 · 计算机科学 2025-03-24 George Cazenavette , Joel Julin , Simon Lucey

Camouflaged Object Detection (COD) stands as a significant challenge in computer vision, dedicated to identifying and segmenting objects visually highly integrated with their backgrounds. Current mainstream methods have made progress in…

计算机视觉与模式识别 · 计算机科学 2025-12-15 Kuan Wang , Yanjun Qin , Mengge Lu , Liejun Wang , Xiaoming Tao

The question of representation of 3D geometry is of vital importance when it comes to leveraging the recent advances in the field of machine learning for geometry processing tasks. For common unstructured surface meshes state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2018-09-28 Isaak Lim , Alexander Dielen , Marcel Campen , Leif Kobbelt

This paper introduces an efficient algorithm based on the Parity-Consistent Decomposition (PCD) method to determine the WD of pre-transformed polar codes. First, to address the bit dependencies introduced by the pre-transformation matrix,…

信息论 · 计算机科学 2026-01-13 Yang Liu , Bolin Wu , Yuxin Han , Kai Niu

Evaluating the (dis)similarity of crystalline, disordered and molecular compounds is a critical step in the development of algorithms to navigate automatically the configuration space of complex materials. For instance, a structural…

材料科学 · 物理学 2020-02-06 Sandip De , Albert P. Bartók , Gábor Csányi , Michele Ceriotti

Molecule representation learning is crucial for understanding and predicting molecular properties. However, conventional atom-centric models, which treat chemical bonds merely as pairwise interactions, often overlook complex bond-level…

机器学习 · 计算机科学 2026-03-03 Yunqing Liu , Yi Zhou , Wenqi Fan

Parametrised quantum circuits are a central framework for near term quantum machine learning. However, it remains challenging to determine in advance how architectural choices, such as encoding strategies, gate placement, and entangling…

量子物理 · 物理学 2026-04-07 Kyle James Stuart Campbell , Luigi Del Debbio , Petros Wallden

Recursive linear structural equation models and the associated directed acyclic graphs (DAGs) play an important role in causal discovery. The classic identifiability result for this class of models states that when only observational data…

统计理论 · 数学 2023-08-21 Jun Wu , Mathias Drton

Large language models (LLMs) often exhibit a puzzling disconnect between their asserted confidence and actual problem-solving competence. We offer a mechanistic account of this decoupling by analyzing the geometry of internal states across…

计算与语言 · 计算机科学 2025-10-30 Debdeep Sanyal , Manya Pandey , Dhruv Kumar , Saurabh Deshpande , Murari Mandal

In the fifth-generation communication system (5G), multipath-assisted positioning (MAP) has emerged as a promising approach. With the enhancement of signal resolution, multipath component (MPC) are no longer regarded as noise but rather as…

信号处理 · 电气工程与系统科学 2025-06-05 Ye Tian , Xueting Xu , Ao Peng