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In this paper, a Lie group-based neural network method is proposed for solving initial value problems of non linear dynamics. Due to its single-layer structure (MLP), the approach is substantially cheaper than the multilayer perceptron…

Dynamical Systems · Mathematics 2022-03-10 Ying Wen , Temuer Chaolu

Deep learning methods have been exerting their strengths in long-term time series forecasting. However, they often struggle to strike a balance between expressive power and computational efficiency. Resorting to multi-layer perceptrons…

Machine Learning · Computer Science 2024-05-21 Nannan Bian , Minhong Zhu , Li Chen , Weiran Cai

Functional principal component analysis has become the most important dimension reduction technique in functional data analysis. Based on B-spline approximation, functional principal components (FPCs) can be efficiently estimated by the…

Methodology · Statistics 2022-11-10 Shiyuan He , Hanxuan Ye , Kejun He

Multi-task IRL allows for the possibility that the expert could be switching between multiple ways of solving the same problem, or interleaving demonstrations of multiple tasks. The learner aims to learn the multiple reward functions that…

Machine Learning · Computer Science 2020-04-28 Saurabh Arora , Bikramjit Banerjee , Prashant Doshi

A novel batch sequential quadratic Hamiltonian (bSQH) algorithm for training convolutional neural networks (CNNs) with $L^0$-based regularization is presented. This methodology is based on a discrete-time Pontryagin maximum principle (PMP).…

Optimization and Control · Mathematics 2025-08-26 Sebastian Hofmann , Alfio Borzì

In this paper, we present a MLP-like architecture for sequential recommendation, namely TriMLP, with a novel Triangular Mixer for cross-token communications. In designing Triangular Mixer, we simplify the cross-token operation in MLP as the…

Machine Learning · Computer Science 2023-07-26 Yiheng Jiang , Yuanbo Xu , Yongjian Yang , Funing Yang , Pengyang Wang , Hui Xiong

The convolutional-based methods provide good segmentation performance in the medical image segmentation task. However, those methods have the following challenges when dealing with the edges of the medical images: (1) Previous…

Image and Video Processing · Electrical Eng. & Systems 2022-08-24 Jinkai Lv , Yuyong Hu , Quanshui Fu , Zhiwang Zhang , Yuqiang Hu , Lin Lv , Guoqing Yang , Jinpeng Li , Yi Zhao

Hamiltonian Monte Carlo is a widely used algorithm for sampling from posterior distributions of complex Bayesian models. It can efficiently explore high-dimensional parameter spaces guided by simulated Hamiltonian flows. However, the…

Computation · Statistics 2019-04-29 Lingge Li , Andrew Holbrook , Babak Shahbaba , Pierre Baldi

Due to their weak inductive bias, Multi-Layer Perceptrons (MLPs) have subpar performance at low-compute levels compared to standard architectures such as convolution-based networks (CNN). Recent work, however, has shown that the performance…

Machine Learning · Computer Science 2024-10-15 Sean Wu , Jordan Hong , Keyu Bai , Gregor Bachmann

We have designed, fabricated, and successfully tested a prototype mixed-signal, 28x28-binary-input, 10-output, 3-layer neuromorphic network ("MLP perceptron"). It is based on embedded nonvolatile floating-gate cell arrays redesigned from a…

Emerging Technologies · Computer Science 2016-10-12 F. Merrikh Bayat , X. Guo , M. Klachko , M. Prezioso , K. K. Likharev , D. B. Strukov

Hypercomplex-valued neural networks, including quaternion-valued neural networks, can treat multi-dimensional data as a single entity. In this paper, we present the quaternion-valued recurrent projection neural networks (QRPNNs). Briefly,…

Machine Learning · Computer Science 2020-09-14 Marcos Eduardo Valle , Rodolfo Anibal Lobo

This paper presents multilevel hybrid transport (MLHT) methods for solving the neutral-particle Boltzmann transport equation. The proposed MLHT methods are formulated on a sequence of spatial grids using a multilevel Monte Carlo (MLMC)…

Numerical Analysis · Mathematics 2026-05-12 Vincent N. Novellino , Dmitriy Y. Anistratov

Multi-Label Continual Learning (MLCL) builds a class-incremental framework in a sequential multi-label image recognition data stream. The critical challenges of MLCL are the construction of label relationships on past-missing and…

Computer Vision and Pattern Recognition · Computer Science 2022-11-29 Kaile Du , Fan Lyu , Linyan Li , Fuyuan Hu , Wei Feng , Fenglei Xu , Xuefeng Xi , Hanjing Cheng

This work studies the problem of high-dimensional data (referred to as tensors) completion from partially observed samplings. We consider that a tensor is a superposition of multiple low-rank components. In particular, each component can be…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Chang Nie , Huan Wang , Zhihui Lai

We consider Monte Carlo approximations to the maximum likelihood estimator in models with intractable norming constants. This paper deals with adaptive Monte Carlo algorithms, which adjust control parameters in the course of simulation. We…

Methodology · Statistics 2016-12-08 Blazej Miasojedow , Wojciech Niemiro , Jan Palczewski , Wojciech Rejchel

In this paper, we provide two new stable online algorithms for the problem of prediction in reinforcement learning, \emph{i.e.}, estimating the value function of a model-free Markov reward process using the linear function approximation…

Machine Learning · Computer Science 2018-06-19 Ajin George Joseph , Shalabh Bhatnagar

Recently, transformer and multi-layer perceptron (MLP) architectures have achieved impressive results on various vision tasks. However, how to effectively combine those operators to form high-performance hybrid visual architectures still…

Computer Vision and Pattern Recognition · Computer Science 2022-09-13 Jihao Liu , Xin Huang , Guanglu Song , Hongsheng Li , Yu Liu

This paper addresses the inherent inference latency challenges associated with deploying multimodal large language models (MLLM) in quadruped vision-language-action (QUAR-VLA) tasks. Our investigation reveals that conventional parameter…

Multi-Chip-Modules (MCMs) reduce the design and fabrication cost of machine learning (ML) accelerators while delivering performance and energy efficiency on par with a monolithic large chip. However, ML compilers targeting MCMs need to…

The paper proposes a numerically stable recursive algorithm for the exact computation of the linear-chain conditional random field gradient. It operates as a forward algorithm over the log-domain expectation semiring and has the purpose of…

Artificial Intelligence · Computer Science 2012-05-31 Velimir M. Ilic , Dejan I. Mancev , Branimir T. Todorovic , Miomir S. Stankovic
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