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We present a new paradigm for creating random features to approximate bi-variate functions (in particular, kernels) defined on general manifolds. This new mechanism of Manifold Random Features (MRFs) leverages discretization of the manifold…

Machine Learning · Computer Science 2026-05-19 Ananya Parashar , Derek Long , Dwaipayan Saha , Krzysztof Choromanski

Model-agnostic tools for interpreting machine-learning models struggle to summarize the joint effects of strongly dependent features in high-dimensional feature spaces, which play an important role in pattern recognition, for example in…

Machine Learning · Computer Science 2023-06-01 Alexander Brenning

Random feature mapping (RFM) is a popular method for speeding up kernel methods at the cost of losing a little accuracy. We study kernel ridge regression with random feature mapping (RFM-KRR) and establish novel out-of-sample error upper…

Machine Learning · Statistics 2019-09-26 Shusen Wang

Machine and deep learning have grown in popularity and use in biological research over the last decade but still present challenges in interpretability of the fitted model. The development and use of metrics to determine features driving…

Machine Learning · Statistics 2025-07-31 Daniel Claborne , Javier Flores , Samantha Erwin , Luke Durell , Rachel Richardson , Ruby Fore , Lisa Bramer

High-quality mesh generation is the foundation of accurate finite element analysis. Due to the vast interior vertices search space and complex initial boundaries, mesh generation for complicated domains requires substantial manual…

Numerical Analysis · Mathematics 2023-05-02 Hua Tong , Kuanren Qian , Eni Halilaj , Yongjie Jessica Zhang

Proteins are the most important biomolecules for living organisms. The understanding of protein structure, function, dynamics and transport is one of most challenging tasks in biological science. In the present work, persistent homology is,…

Biomolecules · Quantitative Biology 2014-12-10 Kelin Xia , Guo-Wei Wei

Machine Unlearning has emerged as a significant area of research, focusing on `removing' specific subsets of data from a trained model. Fine-tuning (FT) methods have become one of the fundamental approaches for approximating unlearning, as…

Machine Learning · Computer Science 2025-11-25 Meng Ding , Rohan Sharma , Changyou Chen , Jinhui Xu , Kaiyi Ji

Cross-resolution face recognition (CRFR), which is important in intelligent surveillance and biometric forensics, refers to the problem of matching a low-resolution (LR) probe face image against high-resolution (HR) gallery face images.…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Guangwei Gao , Yi Yu , Jian Yang , Guo-Jun Qi , Meng Yang

Understanding the classifications of deep neural networks, e.g. used in safety-critical situations, is becoming increasingly important. While recent models can locally explain a single decision, to provide a faithful global explanation…

Computer Vision and Pattern Recognition · Computer Science 2025-02-28 Thomas Norrenbrock , Timo Kaiser , Sovan Biswas , Ramesh Manuvinakurike , Bodo Rosenhahn

We introduce a fingerprint representation of molecules based on a Fourier series of atomic radial distribution functions. This fingerprint is unique (except for chirality), continuous, and differentiable with respect to atomic coordinates…

Chemical Physics · Physics 2015-03-18 O. Anatole von Lilienfeld , Raghunathan Ramakrishnan , Matthias Rupp , Aaron Knoll

Protein function and dynamics are closely related to its sequence and structure. However prediction of protein function and dynamics from its sequence and structure is still a fundamental challenge in molecular biology. Protein…

Biomolecules · Quantitative Biology 2015-10-06 Zixuan Cang , Lin Mu , Kedi Wu , Kristopher Opron , Kelin Xia , Guo-Wei Wei

Feature selection is critical in machine learning to reduce dimensionality and improve model accuracy and efficiency. The exponential growth in feature space dimensionality for modern datasets directly results in ambiguous samples and…

Quantum Physics · Physics 2023-11-30 Haiyan Wang

Kernel methods represent one of the most powerful tools in machine learning to tackle problems expressed in terms of function values and derivatives due to their capability to represent and model complex relations. While these methods show…

Statistics Theory · Mathematics 2015-11-06 Bharath K. Sriperumbudur , Zoltan Szabo

Magnetic Resonance Fingerprinting (MRF) is a novel technique that simultaneously estimates multiple tissue-related parameters, such as the longitudinal relaxation time T1, the transverse relaxation time T2, off resonance frequency B0 and…

Image and Video Processing · Electrical Eng. & Systems 2022-09-20 Zhe Wang , Hongsheng Li , Qinwei Zhang , Jing Yuan , Xiaogang Wang

The efficient exploration of chemical space remains a central challenge, as many generative models still produce unstable or non-synthesizable compounds. To address these limitations, we present EvoMol-RL, a significant extension of the…

Machine Learning · Computer Science 2025-10-02 Gaelle Milon-Harnois , Chaimaa Touhami , Nicolas Gutowski , Benoit Da Mota , Thomas Cauchy

Conditional random field (CRF) and Structural Support Vector Machine (Structural SVM) are two state-of-the-art methods for structured prediction which captures the interdependencies among output variables. The success of these methods is…

Machine Learning · Computer Science 2015-03-19 Qi Mao , Ivor W. Tsang

Magnetic resonance fingerprinting (MRF) is able to estimate multiple quantitative tissue parameters from a relatively short acquisition. The main characteristic of an MRF sequence is the simultaneous application of (a) transient states…

Medical Physics · Physics 2019-02-26 Christiaan C. Stolk , Alessandro Sbrizzi

Quantum machine learning models that leverage quantum circuits as quantum feature maps (QFMs) are recognized for their enhanced expressive power in learning tasks. Such models have demonstrated rigorous end-to-end quantum speedups for…

Quantum Physics · Physics 2026-04-29 Nasa Matsumoto , Quoc Hoan Tran , Koki Chinzei , Yasuhiro Endo , Hirotaka Oshima

Modern datasets arising from social media, genomics, and biomedical informatics are often heterogeneous and (ultra) high-dimensional, creating substantial challenges for conventional modeling techniques. Quantile regression (QR) not only…

Methodology · Statistics 2026-01-07 Hanqing Wu , Jonas Wallin , Iuliana Ionita-Laza

Understanding the results of deep neural networks is an essential step towards wider acceptance of deep learning algorithms. Many approaches address the issue of interpreting artificial neural networks, but often provide divergent…

Machine Learning · Computer Science 2021-11-16 Vadim Borisov , Johannes Meier , Johan van den Heuvel , Hamed Jalali , Gjergji Kasneci
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