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Relying on either deep models or physical models are two mainstream approaches for solving inverse sample reconstruction problems in programmable illumination computational microscopy. Solutions based on physical models possess strong…

图像与视频处理 · 电气工程与系统科学 2024-03-21 Ruiqing Sun , Delong Yang , Shaohui Zhang , Qun Hao

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

机器学习 · 统计学 2023-10-11 Nick Polson , Vadim Sokolov

Graph-structured data provide a comprehensive description of complex systems, encompassing not only the interactions among nodes but also the intrinsic features that characterize these nodes. These features play a fundamental role in the…

物理与社会 · 物理学 2023-11-27 Roya Aliakbarisani , M. Ángeles Serrano , Marián Boguñá

Dense prediction tasks such as depth perception and semantic segmentation are important applications in computer vision that have a concrete topological description in terms of partitioning an image into connected components or estimating a…

计算机视觉与模式识别 · 计算机科学 2022-10-26 Deqing Fu , Bradley J. Nelson

Neural networks designed for the task of classification have become a commodity in recent years. Many works target the development of more effective networks, which results in a complexification of their architectures with more layers,…

机器学习 · 计算机科学 2019-11-14 A. Deliege , A. Cioppa , M. Van Droogenbroeck

Engineers learn from every design they create, building intuition that helps them quickly identify promising solutions for new problems. Topology optimization (TO) - a well-established computational method for designing structures with…

计算工程、金融与科学 · 计算机科学 2025-02-05 Igor Kuszczak , Gawel Kus , Federico Bosi , Miguel A. Bessa

Previous works studied how deep neural networks (DNNs) perceive image content in terms of their biases towards different image cues, such as texture and shape. Previous methods to measure shape and texture biases are typically…

计算机视觉与模式识别 · 计算机科学 2025-03-18 Edgar Heinert , Thomas Gottwald , Annika Mütze , Matthias Rottmann

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

神经与进化计算 · 计算机科学 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

Various topological techniques and tools have been applied to neural networks in terms of network complexity, explainability, and performance. One fundamental assumption of this line of research is the existence of a global (Euclidean)…

机器学习 · 计算机科学 2022-01-02 Dongfang Zhao

After training complex deep learning models, a common task is to compress the model to reduce compute and storage demands. When compressing, it is desirable to preserve the original model's per-example decisions (e.g., to go beyond top-1…

机器学习 · 计算机科学 2022-10-18 Jerry Chee , Megan Renz , Anil Damle , Christopher De Sa

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

神经与进化计算 · 计算机科学 2014-12-19 Sharat C. Prasad , Piyush Prasad

Deep neural networks are workhorse models in machine learning with multiple layers of non-linear functions composed in series. Their loss function is highly non-convex, yet empirically even gradient descent minimisation is sufficient to…

无序系统与神经网络 · 物理学 2020-03-18 Simon Becker , Yao Zhang , Alpha A. Lee

We introduce a principled approach for unsupervised structure learning of deep neural networks. We propose a new interpretation for depth and inter-layer connectivity where conditional independencies in the input distribution are encoded…

机器学习 · 统计学 2018-10-18 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Guy Koren , Gal Novik

A neural network with fixed topology can be regarded as a parametrization of functions, which decides on the correlations between functional variations when parameters are adapted. We propose an analysis, based on a differential geometry…

适应与自组织系统 · 物理学 2007-05-23 Marc Toussaint

The mathematical formulation of constitutive models to describe the path-dependent, i.e., inelastic, behavior of materials is a challenging task and has been a focus in mechanics research for several decades. There have been increased…

计算工程、金融与科学 · 计算机科学 2023-09-06 Max Rosenkranz , Karl A. Kalina , Jörg Brummund , Markus Kästner

Deep-learning-based methods for different applications have been shown vulnerable to adversarial examples. These examples make deployment of such models in safety-critical tasks questionable. Use of deep neural networks as inverse problem…

机器学习 · 计算机科学 2020-02-28 Ankit Raj , Yoram Bresler , Bo Li

Recent years have witnessed a remarkable success of large deep learning models. However, training these models is challenging due to high computational costs, painfully slow convergence, and overfitting issues. In this paper, we present…

计算机视觉与模式识别 · 计算机科学 2023-03-17 Zanlin Ni , Yulin Wang , Jiangwei Yu , Haojun Jiang , Yue Cao , Gao Huang

The current understanding of deep neural networks can only partially explain how input structure, network parameters and optimization algorithms jointly contribute to achieve the strong generalization power that is typically observed in…

机器学习 · 计算机科学 2021-01-28 Francesco Craighero , Fabrizio Angaroni , Alex Graudenzi , Fabio Stella , Marco Antoniotti

Deep Neural Networks are highly susceptible to shortcut learning, frequently memorizing low-dimensional spurious correlations instead of underlying causal mechanisms. This phenomenon not only degrades out-of-distribution robustness but also…

机器学习 · 计算机科学 2026-04-14 Nicolas Rodriguez-Alvarez , Fernando Rodriguez-Merino

Deep neural networks (DNNs), especially deep convolutional neural networks (CNNs), have emerged as the powerful technique in various machine learning applications. However, the large model sizes of DNNs yield high demands on computation…

计算机视觉与模式识别 · 计算机科学 2019-03-01 Siyu Liao , Zhe Li , Liang Zhao , Qinru Qiu , Yanzhi Wang , Bo Yuan