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Many engineering problems involve learning hidden dynamics from indirect observations, where the physical processes are described by systems of partial differential equations (PDE). Gradient-based optimization methods are considered…

Numerical Analysis · Mathematics 2019-12-17 Kailai Xu , Dongzhuo Li , Eric Darve , Jerry M. Harris

Automated medical report generation has become increasingly important in medical analysis. It can produce computer-aided diagnosis descriptions and thus significantly alleviate the doctors' work. Inspired by the huge success of neural…

Computer Vision and Pattern Recognition · Computer Science 2023-08-11 Keqiang Fan , Xiaohao Cai , Mahesan Niranjan

Mixing by cutting-and-shuffling can be understood and predicted using dynamical systems based tools and techniques. In existing studies, mixing is generated by maps that repeat the same cut-and-shuffle process at every iteration, in a…

Dynamical Systems · Mathematics 2018-03-23 Lachlan D. Smith , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

The Transformer architecture revolutionized the field of natural language processing (NLP). Transformers-based models (e.g., BERT) power many important Web services, such as search, translation, question-answering, etc. While enormous…

Computation and Language · Computer Science 2021-02-23 Dave Dice , Alex Kogan

The integration of machine learning techniques into Inertial Confinement Fusion (ICF) simulations has emerged as a powerful approach for enhancing computational efficiency. By replacing the costly Non-Local Thermodynamic Equilibrium (NLTE)…

Passage retrieval is a fundamental task in many information systems, such as web search and question answering, where both efficiency and effectiveness are critical concerns. In recent years, neural retrievers based on pre-trained language…

Information Retrieval · Computer Science 2024-03-21 Qian Dong , Yiding Liu , Qingyao Ai , Haitao Li , Shuaiqiang Wang , Yiqun Liu , Dawei Yin , Shaoping Ma

Optimization theory assisted algorithms have received great attention for precoding design in multiuser multiple-input multiple-output (MU-MIMO) systems. Although the resultant optimization algorithms are able to provide excellent…

Information Theory · Computer Science 2020-06-16 Qiyu Hu , Yunlong Cai , Qingjiang Shi , Kaidi Xu , Guanding Yu , Zhi Ding

Dataset distillation compresses the original data into compact synthetic datasets, reducing training time and storage while retaining model performance, enabling deployment under limited resources. Although recent decoupling-based…

Computer Vision and Pattern Recognition · Computer Science 2026-02-20 Muhammad J. Alahmadi , Peng Gao , Feiyi Wang , Dongkuan Xu

An efficient approximate version of implicit Taylor methods for initial-value problems of systems of ordinary differential equations (ODEs) is introduced. The approach, based on an approximate formulation of Taylor methods, produces a…

Numerical Analysis · Mathematics 2024-02-05 Antonio Baeza , Raimund Bürger , María del Carmen Martí , Pep Mulet , David Zorío

The human vision and perception system is inherently incremental where new knowledge is continually learned over time whilst existing knowledge is retained. On the other hand, deep learning networks are ill-equipped for incremental…

Computer Vision and Pattern Recognition · Computer Science 2020-10-08 Can Peng , Kun Zhao , Brian C. Lovell

In this work we derive a second-order approach to bilevel optimization, a type of mathematical programming in which the solution to a parameterized optimization problem (the "lower" problem) is itself to be optimized (in the "upper"…

Optimization and Control · Mathematics 2022-05-06 Robert Dyro , Edward Schmerling , Nikos Arechiga , Marco Pavone

Diffusion Transformer (DiT) is a crucial method for content generation. However, it needs a lot of time to sample. Many studies have attempted to use caching to reduce the time consumption of sampling. Existing caching methods accelerate…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Junxiang Qiu , Shuo Wang , Jinda Lu , Lin Liu , Houcheng Jiang , Xingyu Zhu , Yanbin Hao

Recent works on multi-modal emotion recognition move towards end-to-end models, which can extract the task-specific features supervised by the target task compared with the two-phase pipeline. However, previous methods only model the…

Computation and Language · Computer Science 2022-09-21 Yang Wu , Pai Peng , Zhenyu Zhang , Yanyan Zhao , Bing Qin

This report considers linear multistep methods through time filtering. The approach has several advantages. It is modular and requires the addition of only one line of additional code. Error estimation and variable timesteps is…

Numerical Analysis · Mathematics 2017-08-22 Ahmet Guzel , William Layton

We study --both in theory and practice-- the use of momentum motions in classic iterative hard thresholding (IHT) methods. By simply modifying plain IHT, we investigate its convergence behavior on convex optimization criteria with…

Optimization and Control · Mathematics 2019-09-17 Rajiv Khanna , Anastasios Kyrillidis

Large language models (LLMs) have shown impressive capabilities in real-world applications. The capability of in-context learning (ICL) allows us to adapt an LLM to downstream tasks by including input-label exemplars in the prompt without…

Artificial Intelligence · Computer Science 2024-10-30 Zhaoxuan Wu , Xiaoqiang Lin , Zhongxiang Dai , Wenyang Hu , Yao Shu , See-Kiong Ng , Patrick Jaillet , Bryan Kian Hsiang Low

Objective: Inclusion of individualised electrical conductivities of head tissues is crucial for the accuracy of electrical source imaging techniques based on electro/magnetoencephalography and the efficacy of transcranial electrical…

Catastrophic forgetting poses a substantial challenge for managing intelligent agents controlled by a large model, causing performance degradation when these agents face new tasks. In our work, we propose a novel solution - the Progressive…

Machine Learning · Computer Science 2025-09-04 Zhiyuan Wang , Xiaoyang Qu , Jing Xiao , Bokui Chen , Jianzong Wang

Residual networks are an Euler discretization of solutions to Ordinary Differential Equations (ODE). This paper explores a deeper relationship between Transformer and numerical ODE methods. We first show that a residual block of layers in…

Computation and Language · Computer Science 2022-04-13 Bei Li , Quan Du , Tao Zhou , Yi Jing , Shuhan Zhou , Xin Zeng , Tong Xiao , JingBo Zhu , Xuebo Liu , Min Zhang

The inherent heavy computation of deep neural networks prevents their widespread applications. A widely used method for accelerating model inference is quantization, by replacing the input operands of a network using fixed-point values.…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Hongwei Xie , Shuo Zhang , Huanghao Ding , Yafei Song , Baitao Shao , Conggang Hu , Ling Cai , Mingyang Li