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We develop a quantum-classical hybrid algorithm for function optimization that is particularly useful in the training of neural networks since it makes use of particular aspects of high-dimensional energy landscapes. Due to a recent…

量子物理 · 物理学 2017-10-20 Leonard Wossnig , Sebastian Tschiatschek , Stefan Zohren

An important difference between brains and deep neural networks is the way they learn. Nervous systems learn online where a stream of noisy data points are presented in a non-independent, identically distributed (non-i.i.d.) way. Further,…

神经与进化计算 · 计算机科学 2023-07-28 Nick Alonso , Jeff Krichmar

We propose a semismooth Newton algorithm for pathwise optimization (SNAP) for the LASSO and Enet in sparse, high-dimensional linear regression. SNAP is derived from a suitable formulation of the KKT conditions based on Newton derivatives.…

机器学习 · 统计学 2018-10-10 Jian Huang , Yuling Jiao , Xiliang Lu , Yueyong Shi , Qinglong Yang

Feature selection with large-scale high-dimensional data is important yet very challenging in machine learning and data mining. Online feature selection is a promising new paradigm that is more efficient and scalable than batch feature…

机器学习 · 计算机科学 2015-11-20 Yue Wu , Steven C. H. Hoi , Tao Mei , Nenghai Yu

In online convex optimization (OCO), a decision-maker is confronted with an unknown environment and seeks to play an optimal sequence of decisions on a short time-scale using only past information. Recent advances in second-order OCO…

最优化与控制 · 数学 2026-05-28 Jean-Luc Lupien , Yuen-Man Pun , Youssef Diouane , Iman Shames , Antoine Lesage-Landry

The human brain utilizes spikes for information transmission and dynamically reorganizes its network structure to boost energy efficiency and cognitive capabilities throughout its lifespan. Drawing inspiration from this spike-based…

人机交互 · 计算机科学 2025-02-20 Jiangrong Shen , Qi Xu , Gang Pan , Badong Chen

Tuning step sizes is crucial for the stability and efficiency of optimization algorithms. While adaptive coordinate-wise step sizes have been shown to outperform scalar step size in first-order methods, their use in second-order methods is…

机器学习 · 计算机科学 2025-05-20 Wei Lin , Qingyu Song , Hong Xu

The increasing complexity of modern deep neural network models and the expanding sizes of datasets necessitate the development of optimized and scalable training methods. In this white paper, we addressed the challenge of efficiently…

机器学习 · 计算机科学 2024-04-29 Raphael Ruschel , A. S. M. Iftekhar , B. S. Manjunath , Suya You

It is well-known that any sum of squares (SOS) program can be cast as a semidefinite program (SDP) of a particular structure and that therein lies the computational bottleneck for SOS programs, as the SDPs generated by this procedure are…

最优化与控制 · 数学 2017-10-05 Amir Ali Ahmadi , Georgina Hall , Antonis Papachristodoulou , James Saunderson , Yang Zheng

Sparsification-based pruning has been an important category in model compression. Existing methods commonly set sparsity-inducing penalty terms to suppress the importance of dropped weights, which is regarded as the suppressed…

计算机视觉与模式识别 · 计算机科学 2024-03-12 Shengji Tang , Weihao Lin , Hancheng Ye , Peng Ye , Chong Yu , Baopu Li , Tao Chen

Spiking Neural Networks (SNNs) are biologically-inspired models that are capable of processing information in streams of action potentials. However, simulating and training SNNs is computationally expensive due to the need to solve large…

神经元与认知 · 定量生物学 2023-12-29 Rainer Engelken

Sparse matrix ordering is a vital optimization technique often employed for solving large-scale sparse matrices. Its goal is to minimize the matrix bandwidth by reorganizing its rows and columns, thus enhancing efficiency. Conventional…

分布式、并行与集群计算 · 计算机科学 2025-11-14 Tao Tang , Youfu Jiang , Yingbo Cui , Jianbin Fang , Peng Zhang , Lin Peng , Chun Huang

Deep neural networks (DNNs) must cater to a variety of users with different performance needs and budgets, leading to the costly practice of training, storing, and maintaining numerous user/task-specific models. There are solutions in the…

Many modern big data applications feature large scale in both numbers of responses and predictors. Better statistical efficiency and scientific insights can be enabled by understanding the large-scale response-predictor association network…

统计方法学 · 统计学 2017-04-28 Yoshimasa Uematsu , Yingying Fan , Kun Chen , Jinchi Lv , Wei Lin

Recurrent Neural Networks (RNN) are widely used to solve a variety of problems and as the quantity of data and the amount of available compute have increased, so have model sizes. The number of parameters in recent state-of-the-art networks…

机器学习 · 计算机科学 2017-11-08 Sharan Narang , Erich Elsen , Gregory Diamos , Shubho Sengupta

We present a second order algorithm, based on orthantwise directions, for solving optimization problems involving the sparsity enhancing $\ell_1$-norm. The main idea of our method consists in modifying the descent orthantwise directions by…

最优化与控制 · 数学 2016-07-05 J. C. De los Reyes , E. Loayza , P. Merino

In this paper, we propose a distributed second- order method for reinforcement learning. Our approach is the fastest in literature so-far as it outperforms state-of-the-art methods, including ADMM, by significant margins. We achieve this by…

最优化与控制 · 数学 2016-08-08 Rasul Tutunov , Haitham Bou-Ammar , Ali Jadbabaie

We investigate boosted online regression and propose a novel family of regression algorithms with strong theoretical bounds. In addition, we implement several variants of the proposed generic algorithm. We specifically provide theoretical…

统计理论 · 数学 2016-12-07 Dariush Kari , Farhan Khan , Selami Ciftci , Suleyman Serdar Kozat

Shampoo is one of the leading approximate second-order optimizers: a variant of it has won the MLCommons AlgoPerf competition, and it has been shown to produce models with lower activation outliers that are easier to compress. Yet, applying…

机器学习 · 计算机科学 2026-02-03 Ionut-Vlad Modoranu , Philip Zmushko , Erik Schultheis , Mher Safaryan , Dan Alistarh

We present a novel network pruning algorithm called Dynamic Sparse Training that can jointly find the optimal network parameters and sparse network structure in a unified optimization process with trainable pruning thresholds. These…

机器学习 · 计算机科学 2020-05-15 Junjie Liu , Zhe Xu , Runbin Shi , Ray C. C. Cheung , Hayden K. H. So