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In recent years, implicit deep learning has emerged as a method to increase the effective depth of deep neural networks. While their training is memory-efficient, they are still significantly slower to train than their explicit…

机器学习 · 计算机科学 2023-03-13 Zaccharie Ramzi , Florian Mannel , Shaojie Bai , Jean-Luc Starck , Philippe Ciuciu , Thomas Moreau

The Newton, Gauss--Newton and Levenberg--Marquardt methods all use the first derivative of a vector function (the Jacobian) to minimise its sum of squares. When the Jacobian matrix is ill-conditioned, the function varies much faster in some…

数值分析 · 数学 2025-08-01 S. J. Brooks

Deep reinforcement learning (DRL) techniques have become increasingly used in various fields for decision-making processes. However, a challenge that often arises is the trade-off between both the computational efficiency of the…

机器学习 · 计算机科学 2023-08-21 Anthony Kobanda , Valliappan C. A. , Joshua Romoff , Ludovic Denoyer

We present two analytical formulae for estimating the sensitivity -- namely, the gradient or Jacobian -- at given realizations of an arbitrary-dimensional random vector with respect to its distributional parameters. The first formula…

机器学习 · 统计学 2025-08-14 Pi-Yueh Chuang , Ahmed Attia , Emil Constantinescu

Column generation (CG) is one of the most successful approaches for solving large-scale linear programming (LP) problems. Given an LP with a prohibitively large number of variables (i.e., columns), the idea of CG is to explicitly consider…

最优化与控制 · 数学 2024-04-09 Haofeng Yuan , Lichang Fang , Shiji Song

All known elimination techniques for (first-order) algorithmic differentiation (AD) rely on Jacobians to be given for a set of relevant elemental functions. Realistically, elemental tangents and adjoints are given instead. They can be…

最优化与控制 · 数学 2023-03-29 Uwe Naumann , Erik Schneidereit , Simon Maertens , Markus Towara

With the increasing number of images and videos consumed by computer vision algorithms, compression methods are evolving to consider both perceptual quality and performance in downstream tasks. Traditional codecs can tackle this problem by…

图像与视频处理 · 电气工程与系统科学 2024-08-14 Samuel Fernández Menduiña , Eduardo Pavez , Antonio Ortega

We investigate improvements to the algorithm for the computation of ideal class groups described by Jacobson in the imaginary quadratic case. These improvements rely on the large prime strategy and a new method for performing the linear…

数论 · 数学 2012-04-06 Jean-François Biasse

In practice, it is quite common to face combinatorial optimization problems which contain uncertainty along with non-determinism and dynamicity. These three properties call for appropriate algorithms; reinforcement learning (RL) is dealing…

人工智能 · 计算机科学 2020-11-10 Nathan Grinsztajn , Olivier Beaumont , Emmanuel Jeannot , Philippe Preux

Deep reinforcement learning (RL) algorithms can learn complex policies to optimize agent operation over time. RL algorithms have shown promising results in solving complicated problems in recent years. However, their application on…

机器学习 · 计算机科学 2021-09-29 Hamed Khorasgani , Haiyan Wang , Chetan Gupta , Susumu Serita

Real-time recurrent learning (RTRL) computes exact online gradients by propagating a Jacobian tensor forward through recurrent dynamics, but at O(n^4) cost per step. Prior work has sought structured approximations (rank-1 compression,…

机器学习 · 计算机科学 2026-03-30 Aur Shalev Merin

Combinatorial optimization has found applications in numerous fields, from aerospace to transportation planning and economics. The goal is to find an optimal solution among a finite set of possibilities. The well-known challenge one faces…

人工智能 · 计算机科学 2020-06-03 Quentin Cappart , Thierry Moisan , Louis-Martin Rousseau , Isabeau Prémont-Schwarz , Andre Cire

Reinforcement Learning (RL) has emerged as a powerful tool for neural combinatorial optimization, enabling models to learn heuristics that solve complex problems without requiring expert knowledge. Despite significant progress, existing RL…

机器学习 · 计算机科学 2025-05-14 Mingjun Pan , Guanquan Lin , You-Wei Luo , Bin Zhu , Zhien Dai , Lijun Sun , Chun Yuan

Deep reinforcement learning (DRL) algorithms have achieved great success on sequential decision-making problems, yet is criticized for the lack of data-efficiency and explainability. Especially, explainability of subtasks is critical in…

人工智能 · 计算机科学 2020-05-20 Daoming Lyu

Differential evolution (DE) algorithm is recognized as one of the most effective evolutionary algorithms, demonstrating remarkable efficacy in black-box optimization due to its derivative-free nature. Numerous enhancements to the…

神经与进化计算 · 计算机科学 2025-03-25 Xu Yang , Rui Wang , Kaiwen Li , Ling Wang

In distributional reinforcement learning (RL), the estimated distribution of value function models both the parametric and intrinsic uncertainties. We propose a novel and efficient exploration method for deep RL that has two components. The…

机器学习 · 计算机科学 2019-05-16 Borislav Mavrin , Shangtong Zhang , Hengshuai Yao , Linglong Kong , Kaiwen Wu , Yaoliang Yu

This paper presents a novel learning-based trajectory planning framework for quadrotors that combines model-based optimization techniques with deep learning. Specifically, we formulate the trajectory optimization problem as a quadratic…

机器人学 · 计算机科学 2023-12-05 Yuwei Wu , Xiatao Sun , Igor Spasojevic , Vijay Kumar

Effective feature selection, representation and transformation are principal steps in machine learning to improve prediction accuracy, model generalization and computational efficiency. Reinforcement learning provides a new perspective…

机器学习 · 计算机科学 2025-03-18 Sumana Sanyasipura Nagaraju

Adversarial examples are crafted with imperceptible perturbations with the intent to fool neural networks. Against such attacks, adversarial training and its variants stand as the strongest defense to date. Previous studies have pointed out…

计算机视觉与模式识别 · 计算机科学 2020-01-30 Alvin Chan , Yi Tay , Yew Soon Ong , Jie Fu

In reinforcement learning, the graph Laplacian has proved to be a valuable tool in the task-agnostic setting, with applications ranging from skill discovery to reward shaping. Recently, learning the Laplacian representation has been framed…