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In this paper, an adjustment to the original differentially private stochastic gradient descent (DPSGD) algorithm for deep learning models is proposed. As a matter of motivation, to date, almost no state-of-the-art machine learning…

机器学习 · 计算机科学 2021-07-13 Mehdi Amian

In this work, we propose a novel backward differential deep learning-based algorithm for solving high-dimensional nonlinear backward stochastic differential equations (BSDEs), where the deep neural network (DNN) models are trained not only…

数值分析 · 数学 2024-04-15 Lorenc Kapllani , Long Teng

In this article, deep learning is applied to estimate the uplink channels for mixed analog-to-digital converters (ADCs) massive multiple-input multiple-output (MIMO) systems, where a portion of antennas are equipped with high-resolution…

信息论 · 计算机科学 2019-08-20 Shen Gao , Peihao Dong , Zhiwen Pan , Geoffrey Ye Li

Graph convolutional networks (GCNs) allow us to learn topologically-aware node embeddings, which can be useful for classification or link prediction. However, they are unable to capture long-range dependencies between nodes without adding…

机器学习 · 计算机科学 2023-08-17 Reza Namazi , Elahe Ghalebi , Sinead Williamson , Hamidreza Mahyar

Deep Belief Network (DBN) has a deep architecture that represents multiple features of input patterns hierarchically with the pre-trained Restricted Boltzmann Machines (RBM). A traditional RBM or DBN model cannot change its network…

神经与进化计算 · 计算机科学 2018-07-12 Shin Kamada , Takumi Ichimura

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…

数值分析 · 数学 2020-07-15 Christian Beck , Weinan E , Arnulf Jentzen

In this paper, we propose a deep learning-based signal detector called DuaIM-3DNet for dual-mode index modulation-based three-dimensional (3D) orthogonal frequency division multiplexing (DM-IM-3D-OFDM). Herein, DM-IM-3D- OFDM is a…

信息论 · 计算机科学 2022-09-21 Dang-Y Hoang , Tien-Hoa Nguyen , Vu-Duc Ngo , Trung Tan Nguyen , Nguyen Cong Luong , Thien Van Luong

It has been observed that the input space of deep neural network classifiers can exhibit `fragmentation', where the model function rapidly changes class as the input space is traversed. The severity of this fragmentation tends to follow the…

We introduce a model-based image reconstruction framework with a convolution neural network (CNN) based regularization prior. The proposed formulation provides a systematic approach for deriving deep architectures for inverse problems with…

计算机视觉与模式识别 · 计算机科学 2019-06-06 Hemant Kumar Aggarwal , Merry P. Mani , Mathews Jacob

We present a novel adaptive optimization algorithm for large-scale machine learning problems. Equipped with a low-cost estimate of local curvature and Lipschitz smoothness, our method dynamically adapts the search direction and step-size.…

机器学习 · 计算机科学 2021-09-14 Majid Jahani , Sergey Rusakov , Zheng Shi , Peter Richtárik , Michael W. Mahoney , Martin Takáč

Training large-scale distributed machine learning models imposes considerable demands on network infrastructure, often resulting in sudden traffic spikes that lead to congestion, increased latency, and reduced throughput, which would…

分布式、并行与集群计算 · 计算机科学 2025-06-23 Yisu Wang , Xinjiao Li , Ruilong Wu , Huangxun Chen , Dirk Kutscher

In this work, we introduce a machine/deep learning methodology to solve parametric integrals. Besides classical machine learning approaches, we consider a differential learning framework that incorporates derivative information during…

机器学习 · 计算机科学 2025-12-15 Álvaro Leitao , Jonatan Ráfales

Deep multitask networks, in which one neural network produces multiple predictive outputs, can offer better speed and performance than their single-task counterparts but are challenging to train properly. We present a gradient normalization…

计算机视觉与模式识别 · 计算机科学 2018-07-16 Zhao Chen , Vijay Badrinarayanan , Chen-Yu Lee , Andrew Rabinovich

Implicit deep learning has recently become popular in the machine learning community since these implicit models can achieve competitive performance with state-of-the-art deep networks while using significantly less memory and computational…

机器学习 · 计算机科学 2022-05-17 Tianxiang Gao , Hongyang Gao

In this paper, we propose a deep learning-enhanced multigrid solver for high-frequency and heterogeneous Helmholtz equations. By applying spectral analysis, we categorize the iteration error into characteristic and non-characteristic…

数值分析 · 数学 2025-03-12 Chen Cui , Kai Jiang , Shi Shu

Discrete time stochastic optimal control problems and Markov decision processes (MDPs) are fundamental models for sequential decision-making under uncertainty and as such provide the mathematical framework underlying reinforcement learning…

最优化与控制 · 数学 2025-07-01 Arnulf Jentzen , Konrad Kleinberg , Thomas Kruse

Diffractive neural networks leverage the high-dimensional characteristics of electromagnetic (EM) fields for high-throughput computing. However, the existing architectures face challenges in integrating large-scale multidimensional…

光学 · 物理学 2025-09-09 Songtao Yang , Sheng Gao , Chu Wu , Zejia Zhao , Haiou Zhang , Xing Lin

A multi-fidelity regression model is proposed for combining multiple datasets with different fidelities, particularly abundant low-fidelity data and scarce high-fidelity observations. The model builds upon recent multi-fidelity frameworks…

流体动力学 · 物理学 2023-11-21 Mohammad Hossein Saadat

Drawing inspiration from gradient-based meta-learning methods with infinitely small gradient steps, we introduce Continuous-Time Meta-Learning (COMLN), a meta-learning algorithm where adaptation follows the dynamics of a gradient vector…

机器学习 · 计算机科学 2022-03-04 Tristan Deleu , David Kanaa , Leo Feng , Giancarlo Kerg , Yoshua Bengio , Guillaume Lajoie , Pierre-Luc Bacon

The primary goal of this research is to propose a novel architecture for a deep neural network that can solve fractional differential equations accurately. A Gaussian integration rule and a $L_1$ discretization technique are used in the…

机器学习 · 计算机科学 2023-09-15 Ali Nosrati Firoozsalari , Hassan Dana Mazraeh , Alireza Afzal Aghaei , Kourosh Parand