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In many mechanistic medical, biological, physical and engineered spatiotemporal dynamic models the numerical solution of partial differential equations (PDEs) can make simulations impractically slow. Biological models require the…

Soft Condensed Matter · Physics 2021-02-11 J. Quetzalcóatl Toledo-Marín , Geoffrey Fox , James P. Sluka , James A. Glazier

Integrating deep neural networks with the Hawkes process has significantly improved predictive capabilities in finance, health informatics, and information technology. Nevertheless, these models often face challenges in real-world settings,…

Machine Learning · Computer Science 2024-07-30 Xiaoyu Tan , Bin Li , Xihe Qiu , Jingjing Huang , Yinghui Xu , Wei Chu

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

Computational Physics · Physics 2017-01-05 Daniel Magee , Kyle E Niemeyer

The performance of the code a compiler generates depends on the order in which it applies the optimization passes. Choosing a good order--often referred to as the phase-ordering problem, is an NP-hard problem. As a result, existing…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-09 Qijing Huang , Ameer Haj-Ali , William Moses , John Xiang , Ion Stoica , Krste Asanovic , John Wawrzynek

Supply chain resilience and efficiency are vital in industries characterized by volatile demand and uncertain supply, such as textiles and personal protective equipment (PPE). Traditional forecasting and optimization approaches often…

Hawkes processes are a popular framework to model the occurrence of sequential events, i.e., occurrence dynamics, in several fields such as social diffusion. In real-world scenarios, the inter-arrival time among events is irregular.…

Machine Learning · Computer Science 2023-05-19 Minju Jo , Seungji Kook , Noseong Park

Scaling long-context capabilities is crucial for Multimodal Large Language Models (MLLMs). However, real-world multimodal datasets are extremely heterogeneous. Existing training frameworks predominantly rely on static parallelism…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-26 Yifan Niu , Han Xiao , Dongyi Liu , Wei Zhou , Jia Li

Contemporary deep learning based solution methods used to compute approximate equilibria of high-dimensional dynamic stochastic economic models are often faced with two pain points. The first problem is that the loss function typically…

General Economics · Economics 2023-03-28 Marlon Azinovic , Jan Žemlička

We present the hidden-layer concatenated physics informed neural network (HLConcPINN) method, which combines hidden-layer concatenated feed-forward neural networks, a modified block time marching strategy, and a physics informed approach…

Numerical Analysis · Mathematics 2024-06-11 Yianxia Qian , Yongchao Zhang , Suchuan Dong

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

Deep Learning system architects strive to design a balanced system where the computational accelerator -- FPGA, GPU, etc, is not starved for data. Feeding training data fast enough to effectively keep the accelerator utilization high is…

Performance · Computer Science 2018-12-04 Christian Pinto , Yiannis Gkoufas , Andrea Reale , Seetharami Seelam , Steven Eliuk

High-dimensional partial differential equations (PDE) appear in a number of models from the financial industry, such as in derivative pricing models, credit valuation adjustment (CVA) models, or portfolio optimization models. The PDEs in…

Numerical Analysis · Mathematics 2020-07-15 Christian Beck , Weinan E , Arnulf Jentzen

Hashing methods have made significant progress in cross-modal retrieval tasks with fast query speed and low storage cost. Among them, deep learning-based hashing achieves better performance on large-scale data due to its excellent…

Computer Vision and Pattern Recognition · Computer Science 2023-04-27 Liming Xu , Hanqi Li , Bochuan Zheng , Weisheng Li , Jiancheng Lv

One of the open problems in scientific computing is the long-time integration of nonlinear stochastic partial differential equations (SPDEs). We address this problem by taking advantage of recent advances in scientific machine learning and…

Machine Learning · Computer Science 2019-09-04 Dongkun Zhang , Ling Guo , George Em Karniadakis

High-level synthesis (HLS) has significantly advanced the automation of digital circuits design, yet the need for expertise and time in pragma tuning remains challenging. Existing solutions for the design space exploration (DSE) adopt…

Hardware Architecture · Computer Science 2025-04-14 Ping Chang , Tosiron Adegbija , Yuchao Liao , Claudio Talarico , Ao Li , Janet Roveda

The world needs diverse and unbiased data to train deep learning models. Currently data comes from a variety of sources that are unmoderated to a large extent. The outcomes of training neural networks with unverified data yields biased…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-27 Vaibhav Mathur , Karanbir Chahal

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

Computational Engineering, Finance, and Science · Computer Science 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

Implicit inverse problems, in which noisy observations of a physical quantity are used to infer a nonlinear functional applied to an associated function, are inherently ill posed and often exhibit non uniqueness of solutions. Such problems…

Numerical Analysis · Mathematics 2025-05-27 Davide Parodi , Federico Benvenuto , Sara Garbarino , Michele Piana

Dynamic High-Level Synthesis (HLS) uses additional hardware to perform memory disambiguation at runtime, increasing loop throughput in irregular codes compared to static HLS. However, most irregular codes consist of multiple sibling loops,…

Hardware Architecture · Computer Science 2025-01-27 Robert Szafarczyk , Syed Waqar Nabi , Wim Vanderbauwhede

Data driven discovery of partial differential equations (PDEs) is a promising approach for uncovering the underlying laws governing complex systems. However, purely data driven techniques face the dilemma of balancing search space with…

Machine Learning · Computer Science 2025-05-12 Hao Xu , Yuntian Chen , Rui Cao , Tianning Tang , Mengge Du , Jian Li , Adrian H. Callaghan , Dongxiao Zhang
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