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Non-smooth optimization is a core ingredient of many imaging or machine learning pipelines. Non-smoothness encodes structural constraints on the solutions, such as sparsity, group sparsity, low-rank and sharp edges. It is also the basis for…

最优化与控制 · 数学 2022-05-04 Clarice Poon , Gabriel Peyré

Understanding the operation of biological and artificial networks remains a difficult and important challenge. To identify general principles, researchers are increasingly interested in surveying large collections of networks that are…

机器学习 · 统计学 2022-01-14 Alex H. Williams , Erin Kunz , Simon Kornblith , Scott W. Linderman

The ability to discriminate similar visual stimuli is an important index of memory function. This ability is widely thought to be supported by expanding the dimensionality of relevant neural codes, such that neural representations for…

神经元与认知 · 定量生物学 2025-10-14 Dale Zhou , Sharon Mina Noh , Nora C Harhen , Nidhi V Banavar , C. Brock Kirwan , Michael A Yassa , Aaron M Bornstein

Empirical evidence suggests that for a variety of overparameterized nonlinear models, most notably in neural network training, the growth of the loss around a minimizer strongly impacts its performance. Flat minima -- those around which the…

机器学习 · 计算机科学 2023-02-20 Lijun Ding , Dmitriy Drusvyatskiy , Maryam Fazel , Zaid Harchaoui

Despite the centrality of the notion of representation in neuroscience, the field lacks a unified framework for the concepts used to characterize representation, leading to disparate use of both terminology and measures associated with it.…

神经元与认知 · 定量生物学 2026-04-27 Stephan Pohl , Edgar Y. Walker , David L. Barack , Jennifer Lee , Rachel N. Denison , Ned Block , Florent Meyniel , Wei Ji Ma

Relative representations are an established approach to zero-shot model stitching, consisting of a non-trainable transformation of the latent space of a deep neural network. Based on insights of topological and geometric nature, we propose…

Deep representation learning using triplet network for classification suffers from a lack of theoretical foundation and difficulty in tuning both the network and classifiers for performance. To address the problem, local-margin triplet loss…

Image representations (artificial or biological) are often compared in terms of their global geometric structure; however, representations with similar global structure can have strikingly different local geometries. Here, we propose a…

神经元与认知 · 定量生物学 2025-05-19 Jenelle Feather , David Lipshutz , Sarah E. Harvey , Alex H. Williams , Eero P. Simoncelli

Learning image representations that capture rich semantic relationships remains a significant challenge. Existing approaches are either contrastive, lacking robust theoretical guarantees, or struggle to effectively represent the partial…

计算机视觉与模式识别 · 计算机科学 2025-04-15 Gabriel Moreira , Manuel Marques , João Paulo Costeira , Alexander Hauptmann

Computational reconstruction plays a vital role in computer vision and computational photography. Most of the conventional optimization and deep learning techniques explore local information for reconstruction. Recently, nonlocal low-rank…

图像与视频处理 · 电气工程与系统科学 2023-01-10 Daoyu Li , Hanwen Xu , Miao Cao , Xin Yuan , David J. Brady , Liheng Bian

The highly non-linear nature of deep neural networks causes them to be susceptible to adversarial examples and have unstable gradients which hinders interpretability. However, existing methods to solve these issues, such as adversarial…

机器学习 · 计算机科学 2023-01-11 Suraj Srinivas , Kyle Matoba , Himabindu Lakkaraju , Francois Fleuret

This work focuses on reducing neural network size, which is a major driver of neural network execution time, power consumption, bandwidth, and memory footprint. A key challenge is to reduce size in a manner that can be exploited readily for…

机器学习 · 计算机科学 2025-06-18 Szabolcs Cséfalvay , James Imber

We introduce a sharpness functional for probabilistic models that quantifies sharpness as an intrinsic property of the probability distribution. The measure is derived based on a rank-based concentration principle that tracks upward…

统计方法学 · 统计学 2026-04-03 Pekka Syrjänen

Humans readily generalize abstract relations, such as recognizing "constant" in shape or color, whereas neural networks struggle, limiting their flexible reasoning. To investigate mechanisms underlying such generalization, we introduce…

神经元与认知 · 定量生物学 2025-07-28 Jiaqi Shang , Gabriel Kreiman , Haim Sompolinsky

Quantization, a commonly used technique to reduce the memory footprint of a neural network for edge computing, entails reducing the precision of the floating-point representation used for the parameters of the network. The impact of such…

机器学习 · 计算机科学 2019-03-27 Abhishek Murthy , Himel Das , Md Ariful Islam

Traditional analyses of gradient descent optimization show that, when the largest eigenvalue of the loss Hessian - often referred to as the sharpness - is below a critical learning-rate threshold, then training is 'stable' and training loss…

机器学习 · 计算机科学 2024-12-24 Lawrence Wang , Stephen J. Roberts

Neural Radiance Fields (NeRFs) have emerged as powerful tools for capturing detailed 3D scenes through continuous volumetric representations. Recent NeRFs utilize feature grids to improve rendering quality and speed; however, these…

计算机视觉与模式识别 · 计算机科学 2024-06-14 Tuan Pham , Stephan Mandt

Recent studies have shown that regularization techniques using soft labels, e.g., label smoothing, Mixup, and CutMix, not only enhance image classification accuracy but also mitigate miscalibration due to overconfident predictions, and…

计算机视觉与模式识别 · 计算机科学 2025-10-17 Jonghyun Park , Juyeop Kim , Jong-Seok Lee

We address the challenge of applying existing convolutional neural network (CNN) architectures to compressed images. Existing CNN architectures represent images as a matrix of pixel intensities with a specified dimension; this desired…

计算机视觉与模式识别 · 计算机科学 2019-11-22 Christopher A. George , Bradley M. West

It is generally well understood that predictive classification and compression are intrinsically related concepts in information theory. Indeed, many deep learning methods are explained as learning a kind of compression, and that better…

机器学习 · 计算机科学 2024-10-22 John Hurwitz , Charles Nicholas , Edward Raff