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In distributed training of deep neural networks, people usually run Stochastic Gradient Descent (SGD) or its variants on each machine and communicate with other machines periodically. However, SGD might converge slowly in training some deep…

机器学习 · 计算机科学 2022-10-14 Mingrui Liu , Zhenxun Zhuang , Yunwei Lei , Chunyang Liao

Spiking Neural Networks (SNNs) offer a promising direction for energy-efficient and brain-inspired computing, yet their vulnerability to adversarial perturbations remains poorly understood. In this work, we revisit the adversarial…

机器学习 · 计算机科学 2025-08-18 Jihang Wang , Dongcheng Zhao , Ruolin Chen , Qian Zhang , Yi Zeng

The inverse problem of supervised reconstruction of depth-variable (time-dependent) parameters in a neural ordinary differential equation (NODE) is considered, that means finding the weights of a residual network with time continuous…

机器学习 · 计算机科学 2022-02-14 George Baravdish , Gabriel Eilertsen , Rym Jaroudi , B. Tomas Johansson , Lukáš Malý , Jonas Unger

Stochastic neighbor embedding (SNE) and related nonlinear manifold learning algorithms achieve high-quality low-dimensional representations of similarity data, but are notoriously slow to train. We propose a generic formulation of embedding…

机器学习 · 计算机科学 2012-06-22 Max Vladymyrov , Miguel Carreira-Perpinan

Spiking neural networks (SNNs) are brain-inspired models that enable energy-efficient implementation on neuromorphic hardware. However, the supervised training of SNNs remains a hard problem due to the discontinuity of the spiking neuron…

神经与进化计算 · 计算机科学 2021-12-20 Mingqing Xiao , Qingyan Meng , Zongpeng Zhang , Yisen Wang , Zhouchen Lin

First-order methods like stochastic gradient descent(SGD) are recently the popular optimization method to train deep neural networks (DNNs), but second-order methods are scarcely used because of the overpriced computing cost in getting the…

机器学习 · 计算机科学 2021-04-01 Jingcheng Zhou , Wei Wei , Zhiming Zheng

Deep artificial neural networks (DNNs) are typically trained via gradient-based learning algorithms, namely backpropagation. Evolution strategies (ES) can rival backprop-based algorithms such as Q-learning and policy gradients on…

神经与进化计算 · 计算机科学 2018-04-24 Felipe Petroski Such , Vashisht Madhavan , Edoardo Conti , Joel Lehman , Kenneth O. Stanley , Jeff Clune

In the last decade, deep learning has become a major component of artificial intelligence. The workhorse of deep learning is the optimization of loss functions by stochastic gradient descent (SGD). Traditionally in deep learning, neural…

机器学习 · 计算机科学 2021-04-27 Benjamin Scellier

Many engineering and scientific fields have recently become interested in modeling terms in partial differential equations (PDEs) with neural networks, which requires solving the inverse problem of learning neural network terms from…

机器学习 · 计算机科学 2026-03-30 Konstantin Riedl , Justin Sirignano , Konstantinos Spiliopoulos

Stochastic Gradient Descent (SGD) methods are prominent for training machine learning and deep learning models. The performance of these techniques depends on their hyperparameter tuning over time and varies for different models and…

机器学习 · 统计学 2019-08-22 Tomer Lancewicki , Selcuk Kopru

Recently, Neural Ordinary Differential Equations has emerged as a powerful framework for modeling physical simulations without explicitly defining the ODEs governing the system, but instead learning them via machine learning. However, the…

Recurrent neural networks (RNNs) hold immense potential for computations due to their Turing completeness and sequential processing capabilities, yet existing methods for their training encounter efficiency challenges. Backpropagation…

机器学习 · 计算机科学 2024-10-02 Jesus Garcia Fernandez , Sander Keemink , Marcel van Gerven

In this work, we propose a new deep learning-based scheme for solving high dimensional nonlinear backward stochastic differential equations (BSDEs). The idea is to reformulate the problem as a global optimization, where the local loss…

数值分析 · 数学 2024-04-18 Lorenc Kapllani , Long Teng

Recurrent neural networks (RNNs) have shown promising performance for language modeling. However, traditional training of RNNs using back-propagation through time often suffers from overfitting. One reason for this is that stochastic…

计算与语言 · 计算机科学 2017-04-25 Zhe Gan , Chunyuan Li , Changyou Chen , Yunchen Pu , Qinliang Su , Lawrence Carin

Neural Ordinary Differential Equations (NODEs) are a novel neural architecture, built around initial value problems with learned dynamics which are solved during inference. Thought to be inherently more robust against adversarial…

机器学习 · 计算机科学 2023-03-10 Mustafa Zeqiri , Mark Niklas Müller , Marc Fischer , Martin Vechev

This study examines the challenges of modeling complex and noisy data related to socioeconomic factors over time, with a focus on data from various districts in Odisha, India. Traditional time-series models struggle to capture both trends…

机器学习 · 计算机科学 2026-04-02 Sandeep Kumar Samota , Reema Gupta , Snehashish Chakraverty

The training of Binary Neural Networks (BNNs) is fundamentally based on gradient approximation for non-differentiable binarization operations (e.g., sign function). However, prevailing methods including the Straight-Through Estimator (STE)…

机器学习 · 计算机科学 2026-05-26 Haoyu Huang , Boyu Liu , Linlin Yang , Yanjing Li , Yuguang Yang , Xuhui Liu , Canyu Chen , Zhongqian Fu , Baochang Zhang

Finding parameters in a deep neural network (NN) that fit training data is a nonconvex optimization problem, but a basic first-order optimization method (gradient descent) finds a global optimizer with perfect fit (zero-loss) in many…

机器学习 · 计算机科学 2025-03-07 Zhiyan Ding , Shi Chen , Qin Li , Stephen Wright

Democratization of machine learning requires architectures that automatically adapt to new problems. Neural Differential Equations (NDEs) have emerged as a popular modeling framework by removing the need for ML practitioners to choose the…

机器学习 · 计算机科学 2022-02-08 Avik Pal , Yingbo Ma , Viral Shah , Christopher Rackauckas

Bayesian computation plays an important role in modern machine learning and statistics to reason about uncertainty. A key computational challenge in Bayesian inference is to develop efficient techniques to approximate, or draw samples from…

数值分析 · 数学 2021-09-01 Liang Yan , Tao Zhou