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This paper is to build a primitive framework for a new possible extended system of real mathematical analysis - the Isomorphic Mathematical Analysis System (IMAS). It is based on some new concepts: e.g. isomorphic frame,…

General Mathematics · Mathematics 2024-01-30 Yuan Liu

Flexible and scalable decentralized learning solutions are fundamentally important in the application of multi-agent systems. While several recent approaches introduce (ensembles of) kernel machines in the distributed setting, Bayesian…

Machine Learning · Computer Science 2025-02-11 Fernando Llorente , Daniel Waxman , Petar M. Djurić

Gaussian Processes (GPs) are a generic modelling tool for supervised learning. While they have been successfully applied on large datasets, their use in safety-critical applications is hindered by the lack of good performance guarantees. To…

Machine Learning · Statistics 2019-08-27 David Reeb , Andreas Doerr , Sebastian Gerwinn , Barbara Rakitsch

Graph partitioning is the problem of dividing the nodes of a graph into balanced partitions while minimizing the edge cut across the partitions. Due to its combinatorial nature, many approximate solutions have been developed, including…

Machine Learning · Computer Science 2019-03-05 Azade Nazi , Will Hang , Anna Goldie , Sujith Ravi , Azalia Mirhoseini

In robotics, diffusion models can capture multi-modal trajectories from demonstrations, making them a transformative approach in imitation learning. However, achieving optimal performance following this regiment requires a large-scale…

This paper investigates the design of parallel general matrix multiplication (GEMM) for a Versal Adaptive Compute Accelerated Platform (ACAP) equipped with a VC1902 system-on-chip and multiple Artificial Intelligence Engines (AIEs). Our…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-24 Jie Lei , Enrique S. Quintana-Ortí

Gaze estimation methods often experience significant performance degradation when evaluated across different domains, due to the domain gap between the testing and training data. Existing methods try to address this issue using various…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 Pengwei Yin , Guanzhong Zeng , Jingjing Wang , Di Xie

In the overview, a generic mathematical object (mapping) is introduced, and its relation to model physics parameterization is explained. Machine learning (ML) tools that can be used to emulate and/or approximate mappings are introduced.…

Atmospheric and Oceanic Physics · Physics 2022-06-22 Vladimir Krasnopolsky , Aleksei A. Belochitski

Belonging to the family of Bayesian nonparametrics, Gaussian process (GP) based approaches have well-documented merits not only in learning over a rich class of nonlinear functions, but also in quantifying the associated uncertainty.…

Machine Learning · Statistics 2021-10-14 Qin Lu , Georgios V. Karanikolas , Georgios B. Giannakis

Machine learning models often perform poorly under subpopulation shifts in the data distribution. Developing methods that allow machine learning models to better generalize to such shifts is crucial for safe deployment in real-world…

Machine Learning · Statistics 2024-03-18 Tim G. J. Rudner , Ya Shi Zhang , Andrew Gordon Wilson , Julia Kempe

Motion retargeting is a promising approach for generating natural and compelling animations for nonhuman characters. However, it is challenging to translate human movements into semantically equivalent motions for target characters with…

Robotics · Computer Science 2023-05-25 Tianyu Li , Jungdam Won , Alexander Clegg , Jeonghwan Kim , Akshara Rai , Sehoon Ha

Approximate Message Passing (AMP) is a class of iterative algorithms that have found applications in many problems in high-dimensional statistics and machine learning. In its general form, AMP can be formulated as an iterative procedure…

Probability · Mathematics 2023-05-02 Rishabh Dudeja , Yue M. Lu , Subhabrata Sen

For the problem of binary linear classification and feature selection, we propose algorithmic approaches to classifier design based on the generalized approximate message passing (GAMP) algorithm, recently proposed in the context of…

Information Theory · Computer Science 2015-06-18 Justin Ziniel , Philip Schniter , Per Sederberg

We introduce a method for global optimization of the structure of atomic systems that uses additional atoms with fractional existence. The method allows for movement of atoms over long distances bypassing energy barriers encountered in the…

Gaussian process (GP) emulator has been used as a surrogate model for predicting force field and molecular potential, to overcome the computational bottleneck of molecular dynamics simulation. Integrating both atomic force and energy in…

Chemical Physics · Physics 2022-05-13 Hao Li , Musen Zhou , Jessalyn Sebastian , Jianzhong Wu , Mengyang Gu

In a recently developed approximation technique for quantum field theory the standard one-loop result is used as a seed for a recursive formula that gives a sequence of improved Gaussian approximations for the generating functional. In this…

High Energy Physics - Theory · Physics 2011-08-09 Antun Balaz , Aleksandar Belic , Aleksandar Bogojevic

In high energy physics (HEP), machine learning methods have emerged as an effective way to accurately simulate particle collisions at the Large Hadron Collider (LHC). The message-passing generative adversarial network (MPGAN) was the first…

High Energy Physics - Experiment · Physics 2023-12-11 Anni Li , Venkat Krishnamohan , Raghav Kansal , Rounak Sen , Steven Tsan , Zhaoyu Zhang , Javier Duarte

Latent manifolds provide a compact characterization of neural population activity and of shared co-variability across brain areas. Nonetheless, existing statistical tools for extracting neural manifolds face limitations in terms of…

Neurons and Cognition · Quantitative Biology 2022-09-08 Edoardo Balzani , Jean Paul Noel , Pedro Herrero-Vidal , Dora E. Angelaki , Cristina Savin

We consider the estimation of an i.i.d.\ random vector observed through a linear transform followed by a componentwise, probabilistic (possibly nonlinear) measurement channel. A novel algorithm, called generalized approximate message…

Information Theory · Computer Science 2012-08-15 Sundeep Rangan

Recent progress towards universal machine-learned interatomic potentials holds considerable promise for materials discovery. Yet the accuracy of these potentials for predicting phase stability may still be limited. In contrast, cluster…

Materials Science · Physics 2024-05-03 A. Dana , L. Mu , S. Gelin , S. B. Sinnott , I. Dabo
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