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Uniform Manifold Approximation and Projection (UMAP) is a widely used manifold learning technique for dimensionality reduction. This paper studies UMAP, supervised UMAP, and several competing dimensionality reduction methods, including…

Machine Learning · Computer Science 2026-05-04 Guanzhe Zhang , Shanshan Ding , Zhezhen Jin

A neuron is a basic physiological and computational unit of the brain. While much is known about the physiological properties of a neuron, its computational role is poorly understood. Here we propose to view a neuron as a signal processing…

Neurons and Cognition · Quantitative Biology 2014-05-14 Tao Hu , Zaid J. Towfic , Cengiz Pehlevan , Alex Genkin , Dmitri B. Chklovskii

Inverse imaging problems (IIPs) arise in various applications, with the main objective of reconstructing an image from its compressed measurements. This problem is often ill-posed for being under-determined with multiple interchangeably…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Xiwen Chen , Wenhui Zhu , Peijie Qiu , Abolfazl Razi

We propose a new method for blind system identification. Resorting to a Gaussian regression framework, we model the impulse response of the unknown linear system as a realization of a Gaussian process. The structure of the covariance matrix…

Systems and Control · Computer Science 2016-05-20 Giulio Bottegal , Riccardo S. Risuleo , Håkan Hjalmarsson

The human visual system contains a hierarchical sequence of modules that take part in visual perception at superordinate, basic, and subordinate categorization levels. During the last decades, various computational models have been proposed…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Fatemeh Sharifizadeh , Mohammad Ganjtabesh , Abbas Nowzari-Dalini

We propose a unified optimization framework that combines neural networks with dictionary learning to model complex interactions between resting state functional MRI and behavioral data. The dictionary learning objective decomposes patient…

Machine Learning · Computer Science 2024-11-21 Niharika Shimona D'Souza , Mary Beth Nebel , Nicholas Wymbs , Stewart Mostofsky , Archana Venkataraman

This research is to search for alternatives to the resolution of complex medical diagnosis where human knowledge should be apprehended in a general fashion. Successful application examples show that human diagnostic capabilities are…

Neural and Evolutionary Computing · Computer Science 2010-09-28 Abu Bakar Siddiquee , Md. Ehsanul Hoque Mazumder , S. M. Kamruzzaman

The maximum a posteriori (MAP) inference for determinantal point processes (DPPs) is crucial for selecting diverse items in many machine learning applications. Although DPP MAP inference is NP-hard, the greedy algorithm often finds…

Data Structures and Algorithms · Computer Science 2022-06-14 Shinichi Hemmi , Taihei Oki , Shinsaku Sakaue , Kaito Fujii , Satoru Iwata

In this paper, we focus on how to locate the relevant or discriminative brain regions related with external stimulus or certain mental decease, which is also called support identification, based on the neuroimaging data. The main difficulty…

Computer Vision and Pattern Recognition · Computer Science 2015-06-09 Yilun Wang , Sheng Zhang , Junjie Zheng , Heng Chen , Huafu Chen

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

In neuroscience, all kinds of computation models were designed to answer the open question of how sensory stimuli are encoded by neurons and conversely, how sensory stimuli can be decoded from neuronal activities. Especially, functional…

Computer Vision and Pattern Recognition · Computer Science 2018-01-03 Kai Qiao , Chi Zhang , Linyuan Wang , Bin Yan , Jian Chen , Lei Zeng , Li Tong

Most methods for neural network verification focus on bounding the image, i.e., set of outputs for a given input set. This can be used to, for example, check the robustness of neural network predictions to bounded perturbations of an input.…

Machine Learning · Computer Science 2025-06-24 Xiyue Zhang , Benjie Wang , Marta Kwiatkowska , Huan Zhang

Recent developments in system identification have brought attention to regularized kernel-based methods. This type of approach has been proven to compare favorably with classic parametric methods. However, current formulations are not…

Systems and Control · Computer Science 2016-11-25 Giulio Bottegal , Aleksandr Y. Aravkin , Håkan Hjalmarsson , Gianluigi Pillonetto

Most existing matching algorithms are one-off algorithms, i.e., they usually measure the distance between the two image feature representation vectors for only one time. In contrast, human's vision system achieves this task, i.e., image…

Machine Learning · Computer Science 2017-06-20 Donghao Luo , Bingbing Ni , Yichao Yan , Xiaokang Yang

The max-product algorithm, a local message-passing scheme that attempts to compute the most probable assignment (MAP) of a given probability distribution, has been successfully employed as a method of approximate inference for applications…

Information Theory · Computer Science 2014-01-07 Nicholas Ruozzi , Sekhar Tatikonda

Neural reflectance models are capable of reproducing the spatially-varying appearance of many real-world materials at different scales. Unfortunately, existing techniques such as NeuMIP have difficulties handling materials with strong…

Graphics · Computer Science 2024-04-25 Bowen Xue , Shuang Zhao , Henrik Wann Jensen , Zahra Montazeri

Humans are expert explorers. Understanding the computational cognitive mechanisms that support this efficiency can advance the study of the human mind and enable more efficient exploration algorithms. We hypothesize that humans explore new…

Machine Learning · Computer Science 2022-03-21 Sugandha Sharma , Aidan Curtis , Marta Kryven , Josh Tenenbaum , Ila Fiete

Neural computation in biological and artificial networks relies on the nonlinear summation of many inputs. The structural connectivity matrix of synaptic weights between neurons is a critical determinant of overall network function, but…

Neurons and Cognition · Quantitative Biology 2022-07-01 Tirthabir Biswas , James E. Fitzgerald

We investigate the sparse functional identification of complex cells and the decoding of visual stimuli encoded by an ensemble of complex cells. The reconstruction algorithm of both temporal and spatio-temporal stimuli is formulated as a…

Neurons and Cognition · Quantitative Biology 2017-06-20 Aurel A. Lazar , Nikul H. Ukani , Yiyin Zhou