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Deep neural networks set the state-of-the-art across many tasks in computer vision, but their generalization ability to image distortions is surprisingly fragile. In contrast, the mammalian visual system is robust to a wide range of…

计算机视觉与模式识别 · 计算机科学 2021-12-21 Shahd Safarani , Arne Nix , Konstantin Willeke , Santiago A. Cadena , Kelli Restivo , George Denfield , Andreas S. Tolias , Fabian H. Sinz

The organization of the connectivity between mammalian cortical areas has become a major subject of study, because of its important role in scaffolding the macroscopic aspects of animal behavior and intelligence. In this study we present a…

神经元与认知 · 定量生物学 2007-05-23 Luciano da F Costa , Marcus Kaiser , Claus C Hilgetag

This paper presents a mathematical analysis of ODE-Net, a continuum model of deep neural networks (DNNs). In recent years, Machine Learning researchers have introduced ideas of replacing the deep structure of DNNs with ODEs as a continuum…

偏微分方程分析 · 数学 2024-10-22 Noboru Isobe , Mizuho Okumura

It has been suggested that neural systems across several scales of organization show optimal component placement, in which any spatial rearrangement of the components would lead to an increase of total wiring. Using extensive connectivity…

神经元与认知 · 定量生物学 2007-05-23 Marcus Kaiser , Claus C. Hilgetag

Global integration of information in the brain results from complex interactions of segregated brain networks. Identifying the most influential neuronal populations that efficiently bind these networks is a fundamental problem of systems…

In this article, we propose the approach to procedural optimization of a neural network, based on the combination of information theory and braid theory. The network studied in the article implemented with the intersections between the…

神经与进化计算 · 计算机科学 2021-04-21 Olga Lukyanova , Oleg Nikitin , Alex Kunin

In this paper, we address the adversarial training of neural ODEs from a robust control perspective. This is an alternative to the classical training via empirical risk minimization, and it is widely used to enforce reliable outcomes for…

最优化与控制 · 数学 2024-04-02 Cristina Cipriani , Alessandro Scagliotti , Tobias Wöhrer

Neural ordinary differential equations (ODEs) provide expressive representations of invertible transport maps that can be used to approximate complex probability distributions, e.g., for generative modeling, density estimation, and Bayesian…

机器学习 · 计算机科学 2025-02-07 Youssef Marzouk , Zhi Ren , Jakob Zech

As our understanding of the mechanisms of brain function is enhanced, the value of insights gained from neuroscience to the development of AI algorithms deserves further consideration. Here, we draw parallels with an existing tree-based ANN…

神经与进化计算 · 计算机科学 2023-07-04 Fahad Sarfraz , Elahe Arani , Bahram Zonooz

The fragility of deep neural networks to adversarially-chosen inputs has motivated the need to revisit deep learning algorithms. Including adversarial examples during training is a popular defense mechanism against adversarial attacks. This…

最优化与控制 · 数学 2020-05-05 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

We characterized the generalization capabilities of DNN-based encoding models when predicting neuronal responses from the visual cortex. We collected \textit{MacaqueITBench}, a large-scale dataset of neural population responses from the…

信号处理 · 电气工程与系统科学 2024-06-26 Spandan Madan , Will Xiao , Mingran Cao , Hanspeter Pfister , Margaret Livingstone , Gabriel Kreiman

Purpose: (1) To develop a deep learning algorithm to identify major tissue structures of the optic nerve head (ONH) in 3D optical coherence tomography (OCT) scans; (2) to exploit such information to robustly differentiate among healthy,…

In recent years, deep learning has been connected with optimal control as a way to define a notion of a continuous underlying learning problem. In this view, neural networks can be interpreted as a discretization of a parametric Ordinary…

最优化与控制 · 数学 2020-07-07 Joubine Aghili , Olga Mula

Out-of-distribution (OOD) detection and OOD generalization are widely studied in Deep Neural Networks (DNNs), yet their relationship remains poorly understood. We empirically show that the degree of Neural Collapse (NC) in a network layer…

机器学习 · 计算机科学 2025-09-23 Md Yousuf Harun , Jhair Gallardo , Christopher Kanan

Neural ordinary differential equations (Neural ODEs) propose the idea that a sequence of layers in a neural network is just a discretisation of an ODE, and thus can instead be directly modelled by a parameterised ODE. This idea has had…

机器学习 · 计算机科学 2024-05-07 Christina Runkel , Ander Biguri , Carola-Bibiane Schönlieb

Hard visual attention is a promising approach to reduce the computational burden of modern computer vision methodologies. Hard attention mechanisms are typically non-differentiable. They can be trained with reinforcement learning but the…

机器学习 · 计算机科学 2020-06-16 William Harvey , Michael Teng , Frank Wood

We examine how the saccade mechanism from biological vision can be used to make deep neural networks more efficient for classification and object detection problems. Our proposed approach is based on the ideas of attention-driven visual…

计算机视觉与模式识别 · 计算机科学 2022-06-13 Saurabh Farkya , Zachary Daniels , Aswin Nadamuni Raghavan , David Zhang , Michael Piacentino

Training dynamic models, such as neural ODEs, on long trajectories is a hard problem that requires using various tricks, such as trajectory splitting, to make model training work in practice. These methods are often heuristics with poor…

机器学习 · 计算机科学 2023-02-09 Valerii Iakovlev , Cagatay Yildiz , Markus Heinonen , Harri Lähdesmäki

Constellation shaping is a practical and effective technique to improve the performance and the rate adaptivity of optical communication systems. In principle, it could also be used to mitigate the impact of nonlinear effects, possibly…

信息论 · 计算机科学 2022-06-08 Marco Secondini , Stella Civelli , Enrico Forestieri , Lareb Zar Khan

Brain networks are expected to be modular. However, existing techniques for estimating a network's modules make it difficult to assess the influence of organizational principles such as wiring cost reduction on the detected modules. Here,…