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We introduce algorithms to visualize feature spaces used by object detectors. Our method works by inverting a visual feature back to multiple natural images. We found that these visualizations allow us to analyze object detection systems in…

Computer Vision and Pattern Recognition · Computer Science 2015-02-20 Carl Vondrick , Aditya Khosla , Hamed Pirsiavash , Tomasz Malisiewicz , Antonio Torralba

The regression of a functional response on a set of scalar predictors can be a challenging task, especially if there is a large number of predictors, or the relationship between those predictors and the response is nonlinear. In this work,…

Machine Learning · Statistics 2023-08-24 Sidi Wu , Cédric Beaulac , Jiguo Cao

Feature representations, both hand-designed and learned ones, are often hard to analyze and interpret, even when they are extracted from visual data. We propose a new approach to study image representations by inverting them with an…

Neural and Evolutionary Computing · Computer Science 2016-04-28 Alexey Dosovitskiy , Thomas Brox

We study inverse optimization (IO), where the goal is to use a parametric optimization program as the hypothesis class to infer relationships between input-decision pairs. Most of the literature focuses on learning only the objective…

Optimization and Control · Mathematics 2025-05-22 Ke Ren , Peyman Mohajerin Esfahani , Angelos Georghiou

In order to better understand feature learning in neural networks, we propose a framework for understanding linear models in tangent feature space where the features are allowed to be transformed during training. We consider linear…

Machine Learning · Computer Science 2024-02-22 Daniel LeJeune , Sina Alemohammad

Data and knowledge representation are fundamental concepts in machine learning. The quality of the representation impacts the performance of the learning model directly. Feature learning transforms or enhances raw data to structures that…

Artificial Intelligence · Computer Science 2021-04-26 Filipe Alves Neto Verri , Renato Tinós , Liang Zhao

Interpreting how does deep neural networks (DNNs) make predictions is a vital field in artificial intelligence, which hinders wide applications of DNNs. Visualization of learned representations helps we humans understand the vision of DNNs.…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Chen Li , Jinzhe Jiang , Xin Zhang , Tonghuan Zhang , Yaqian Zhao , Dongdong Jiang , RenGang Li

This paper proposes a novel approach to improve the training efficiency and the generalization performance of Feed Forward Neural Networks (FFNNs) resorting to an optimal rescaling of input features (OFR) carried out by a Genetic Algorithm…

Machine Learning · Computer Science 2024-02-21 Federico Maria Vitrò , Marco Leonesio , Lorenzo Fagiano

Consider the problem of finding an optimal value of some objective functional subject to constraints over numerical domain. This type of problem arises frequently in practical engineering tasks. Nowdays almost all general methods for…

Optimization and Control · Mathematics 2019-09-13 Sergey Karpukhin

Given a set of observations generated by an optimization process, the goal of inverse optimization is to determine likely parameters of that process. We cast inverse optimization as a form of deep learning. Our method, called deep inverse…

Machine Learning · Computer Science 2018-12-04 Yingcong Tan , Andrew Delong , Daria Terekhov

Conventional inverse optimization inputs a solution and finds the parameters of an optimization model that render a given solution optimal. The literature mostly focuses on inferring the objective function in linear problems when accepted…

Optimization and Control · Mathematics 2024-10-10 Houra Mahmoudzadeh , Kimia Ghobadi

Visual interpretability of Convolutional Neural Networks (CNNs) has gained significant popularity because of the great challenges that CNN complexity imposes to understanding their inner workings. Although many techniques have been proposed…

Computer Vision and Pattern Recognition · Computer Science 2021-02-01 Alexandros Stergiou

How do neural networks extract patterns from pixels? Feature visualizations attempt to answer this important question by visualizing highly activating patterns through optimization. Today, visualization methods form the foundation of our…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Robert Geirhos , Roland S. Zimmermann , Blair Bilodeau , Wieland Brendel , Been Kim

Inverse optimization seeks to recover unknown objective parameters from observed decisions, yet fundamental questions about when recovery is possible have received limited formal treatment. This paper develops a comprehensive theoretical…

Optimization and Control · Mathematics 2026-03-19 Farzin Ahmadi , Fardin Ganjkhanloo , Kimia Ghobadi

Brain encoder models predict cortical fMRI responses from the internal activations of pretrained vision and language networks, and are typically evaluated by held-out prediction accuracy. This is a useful signal for training but a poor one…

Neurons and Cognition · Quantitative Biology 2026-05-15 Stuart Bladon , Brinnae Bent

The article proposes an n-dimensional mathematical model of the visual representation of a linear programming problem. This model makes it possible to use artificial neural networks to solve multidimensional linear optimization problems,…

Optimization and Control · Mathematics 2022-08-18 Nikolay A. Olkhovsky , Leonid B. Sokolinsky

Function regression/approximation is a fundamental application of machine learning. Neural networks (NNs) can be easily trained for function regression using a sufficient number of neurons and epochs. The forward-forward learning algorithm…

Machine Learning · Computer Science 2025-10-16 Shivam Padmani , Akshay Joshi

Training a neural network using backpropagation algorithm requires passing error gradients sequentially through the network. The backward locking prevents us from updating network layers in parallel and fully leveraging the computing…

Machine Learning · Computer Science 2019-05-30 Zhouyuan Huo , Bin Gu , Heng Huang

We propose a new neural sequence model training method in which the objective function is defined by $\alpha$-divergence. We demonstrate that the objective function generalizes the maximum-likelihood (ML)-based and reinforcement learning…

Machine Learning · Statistics 2017-07-03 Sotetsu Koyamada , Yuta Kikuchi , Atsunori Kanemura , Shin-ichi Maeda , Shin Ishii

In natural vision, feedback connections support versatile visual inference capabilities such as making sense of the occluded or noisy bottom-up sensory information or mediating pure top-down processes such as imagination. However, the…

Neurons and Cognition · Quantitative Biology 2023-11-01 Tahereh Toosi , Elias B. Issa