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A deep neural network (DNN) with piecewise linear activations can partition the input space into numerous small linear regions, where different linear functions are fitted. It is believed that the number of these regions represents the…

Machine Learning · Computer Science 2020-04-30 Xiao Zhang , Dongrui Wu

Recent developments in transformer-based language models have allowed them to capture a wide variety of world knowledge that can be adapted to downstream tasks with limited resources. However, what pieces of information are understood in…

Computation and Language · Computer Science 2024-01-31 Shrayani Mondal , Rishabh Garodia , Arbaaz Qureshi , Taesung Lee , Youngja Park

Neurons can display highly variable dynamics. While such variability presumably supports the wide range of behaviors generated by the organism, their gene expressions are relatively stable in the adult brain. This suggests that neuronal…

Neurons and Cognition · Quantitative Biology 2023-11-07 Lu Mi , Trung Le , Tianxing He , Eli Shlizerman , Uygar Sümbül

This paper presents a compact, matrix-based representation of neural networks in a self-contained tutorial fashion. Specifically, we develop neural networks as a composition of several vector-valued functions. Although neural networks are…

Systems and Control · Electrical Eng. & Systems 2022-12-01 Turibius Rozario , Arjun Trivedi , Ankit Goel

Understanding internal feature representations of deep neural networks (DNNs) is a fundamental step toward model interpretability. Inspired by neuroscience methods that probe biological neurons using visual stimuli, recent deep learning…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Hongbo Zhu , Angelo Cangelosi

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…

Machine Learning · Computer Science 2021-01-28 Francesco Craighero , Fabrizio Angaroni , Alex Graudenzi , Fabio Stella , Marco Antoniotti

Intelligent agents such as robots are increasingly deployed in real-world, safety-critical settings. It is vital that these agents are able to explain the reasoning behind their decisions to human counterparts; however, their behavior is…

Machine Learning · Computer Science 2023-12-01 Xijia Zhang , Yue Guo , Simon Stepputtis , Katia Sycara , Joseph Campbell

When explaining the decisions of deep neural networks, simple stories are tempting but dangerous. Especially in computer vision, the most popular explanation approaches give a false sense of comprehension to its users and provide an overly…

Machine Learning · Computer Science 2021-09-17 Matthias Kirchler , Martin Graf , Marius Kloft , Christoph Lippert

The following work presents how autoencoding all the possible hidden activations of a network for a given problem can provide insight about its structure, behavior, and vulnerabilities. The method, termed self-introspection, can show that a…

It is a mystery which input features contribute to a neural network's output. Various explanation (feature attribution) methods are proposed in the literature to shed light on the problem. One peculiar observation is that these explanations…

Machine Learning · Computer Science 2022-03-07 Ashkan Khakzar , Pedram Khorsandi , Rozhin Nobahari , Nassir Navab

The neural coding is yet to be discovered. The neuronal operational modes that arise with fixed inputs but with varying degrees of stimulation help to elucidate their coding properties. In neurons receiving {\it in vivo} stimulation, we…

Neurons and Cognition · Quantitative Biology 2025-11-05 Lindsey Knowles , Cesar Ceballos , Rodrigo Pena

To compensate for sensory processing delays, the visual system must make predictions to ensure timely and appropriate behaviors. Recent work has found predictive information about the stimulus in neural populations early in vision…

Neurons and Cognition · Quantitative Biology 2018-10-05 Audrey J. Sederberg , Jason N. MacLean , Stephanie E. Palmer

Empirical observation of high dimensional phenomena, such as the double descent behaviour, has attracted a lot of interest in understanding classical techniques such as kernel methods, and their implications to explain generalization…

A precise understanding of why units in an artificial network respond to certain stimuli would constitute a big step towards explainable artificial intelligence. One widely used approach towards this goal is to visualize unit responses via…

Computer Vision and Pattern Recognition · Computer Science 2021-11-15 Roland S. Zimmermann , Judy Borowski , Robert Geirhos , Matthias Bethge , Thomas S. A. Wallis , Wieland Brendel

A major challenge in Explainable AI is in correctly interpreting activations of hidden neurons: accurate interpretations would provide insights into the question of what a deep learning system has internally detected as relevant on the…

Machine Learning · Computer Science 2023-08-10 Abhilekha Dalal , Md Kamruzzaman Sarker , Adrita Barua , Eugene Vasserman , Pascal Hitzler

The response time of physical computational elements is finite, and neurons are no exception. In hierarchical models of cortical networks each layer thus introduces a response lag. This inherent property of physical dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-10-28 Paul Haider , Benjamin Ellenberger , Laura Kriener , Jakob Jordan , Walter Senn , Mihai A. Petrovici

Deep learning models have shown their superior performance in various vision tasks. However, the lack of precisely interpreting kernels in convolutional neural networks (CNNs) is becoming one main obstacle to wide applications of deep…

Computer Vision and Pattern Recognition · Computer Science 2021-08-26 Jia-Xin Zhuang , Wanying Tao , Jianfei Xing , Wei Shi , Ruixuan Wang , Wei-shi Zheng

Understanding how neural networks transform inputs into outputs is crucial for interpreting and manipulating their behavior. Most existing approaches analyze internal representations by identifying hidden-layer activation patterns…

Machine Learning · Computer Science 2026-03-09 Joshua Brendan Melander , Zaki Alaoui , Shenghua Liu , Surya Ganguli , Stephen A. Baccus

Intelligent agents such as robots are increasingly deployed in real-world, safety-critical settings. It is vital that these agents are able to explain the reasoning behind their decisions to human counterparts, however, their behavior is…

Machine Learning · Computer Science 2023-09-20 Xijia Zhang , Yue Guo , Simon Stepputtis , Katia Sycara , Joseph Campbell

Deep neural networks (DNNs) have demonstrated state-of-the-art results on many pattern recognition tasks, especially vision classification problems. Understanding the inner workings of such computational brains is both fascinating basic…

Neural and Evolutionary Computing · Computer Science 2016-11-24 Anh Nguyen , Alexey Dosovitskiy , Jason Yosinski , Thomas Brox , Jeff Clune
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