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It is believed that Gradient Descent (GD) induces an implicit bias towards good generalization in training machine learning models. This paper provides a fine-grained analysis of the dynamics of GD for the matrix sensing problem, whose goal…

Machine Learning · Computer Science 2023-01-30 Jikai Jin , Zhiyuan Li , Kaifeng Lyu , Simon S. Du , Jason D. Lee

Fair-density parity-check (FDPC) codes have been recently introduced demonstrating improved performance compared to low-density parity-check (LDPC) codes standardized in 5G systems particularly in high-rate regimes. In this paper, we…

Information Theory · Computer Science 2025-10-02 Niloufar Hosseinzadeh , Mohsen Moradi , Hessam Mahdavifar

Recent progress in robust statistical learning has mainly tackled convex problems, like mean estimation or linear regression, with non-convex challenges receiving less attention. Phase retrieval exemplifies such a non-convex problem,…

Machine Learning · Statistics 2024-10-15 Alex Buna , Patrick Rebeschini

We propose an approach to do learning in Gaussian factor graphs. We treat all relevant quantities (inputs, outputs, parameters, latents) as random variables in a graphical model, and view both training and prediction as inference problems…

Machine Learning · Computer Science 2024-07-18 Seth Nabarro , Mark van der Wilk , Andrew J Davison

Diffusion models (DMs) excel in image generation but suffer from slow inference and training-inference discrepancies. Although gradient-based solvers for DMs accelerate denoising inference, they often lack theoretical foundations in…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Shigui Li , Wei Chen , Delu Zeng

We introduce a new paradigm for finite precision iterative decoding on low-density parity-check codes over the Binary Symmetric channel. The messages take values from a finite alphabet, and unlike traditional quantized decoders which are…

Information Theory · Computer Science 2012-07-23 Shiva Kumar Planjery , David Declercq , Ludovic Danjean , Bane Vasic

We propose a novel frame prediction method using a deep neural network (DNN), with the goal of improving video coding efficiency. The proposed DNN makes use of decoded frames, at both encoder and decoder, to predict textures of the current…

Image and Video Processing · Electrical Eng. & Systems 2019-06-24 Hyomin Choi , Ivan V. Bajic

This paper studies inference acceleration using distributed convolutional neural networks (CNNs) in collaborative edge computing network. To avoid inference accuracy loss in inference task partitioning, we propose receptive field-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-26 Nan Li , Alexandros Iosifidis , Qi Zhang

The performance of video prediction has been greatly boosted by advanced deep neural networks. However, most of the current methods suffer from large model sizes and require extra inputs, e.g., semantic/depth maps, for promising…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Xiaotao Hu , Zhewei Huang , Ailin Huang , Jun Xu , Shuchang Zhou

Bit-Flipping (BF) decoders are a family of decoders widely employed in post-quantum cryptographic schemes based on Quasi-Cyclic Moderate-Density Parity-Check (QC-MDPC) codes, such as BIKE. BF decoders suffer from trapping sets,…

Information Theory · Computer Science 2026-04-21 Alessio Baldelli , Marco Baldi , Davide De Zuane , Paolo Santini

Diffusion models have achieved unprecedented performance in image generation, yet they suffer from slow inference due to their iterative sampling process. To address this, early-exiting has recently been proposed, where the depth of the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Daniel Gallo Fernández , Răzvan-Andrei Matişan , Alejandro Monroy Muñoz , Ana-Maria Vasilcoiu , Janusz Partyka , Tin Hadži Veljković , Metod Jazbec

We tackle the problem of sampling from intractable high-dimensional density functions, a fundamental task that often appears in machine learning and statistics. We extend recent sampling-based approaches that leverage controlled stochastic…

Machine Learning · Computer Science 2024-03-12 Dinghuai Zhang , Ricky T. Q. Chen , Cheng-Hao Liu , Aaron Courville , Yoshua Bengio

We present a method to predict image deformations based on patch-wise image appearance. Specifically, we design a patch-based deep encoder-decoder network which learns the pixel/voxel-wise mapping between image appearance and registration…

Computer Vision and Pattern Recognition · Computer Science 2016-07-11 Xiao Yang , Roland Kwitt , Marc Niethammer

We propose a variational form of the BDF2 method as an alternative to the commonly used minimizing movement scheme for the time-discrete approximation of gradient flows in abstract metric spaces. Assuming uniform semi-convexity --- but no…

Analysis of PDEs · Mathematics 2017-12-25 Daniel Matthes , Simon Plazotta

How can we process a piece of recorded music to detect and visualize the onset of each instrument? A simple, interpretable approach is based on partially fixed nonnegative matrix factorization (NMF). Yet despite the method's simplicity,…

Numerical Analysis · Mathematics 2026-01-16 Alisha L. Foster , Robert J. Webber

Strong Differential Privacy (DP) and Optimization guarantees are two desirable properties for a method in Federated Learning (FL). However, existing algorithms do not achieve both properties at once: they either have optimal DP guarantees…

Machine Learning · Computer Science 2026-03-06 Rustem Islamov , Samuel Horvath , Aurelien Lucchi , Peter Richtarik , Eduard Gorbunov

Performative distribution shift captures the setting where the choice of which ML model is deployed changes the data distribution. For example, a bank which uses the number of open credit lines to determine a customer's risk of default on a…

Machine Learning · Computer Science 2021-02-17 Zachary Izzo , Lexing Ying , James Zou

Stochastic Gradient Descent (SGD) and its variants are the most used algorithms in machine learning applications. In particular, SGD with adaptive learning rates and momentum is the industry standard to train deep networks. Despite the…

Machine Learning · Statistics 2020-07-29 Xiaoyu Li , Francesco Orabona

Diffusion models have achieved remarkable success in generating high-fidelity content but suffer from slow, iterative sampling, resulting in high latency that limits their use in interactive applications. We introduce DRiffusion, a parallel…

Machine Learning · Computer Science 2026-03-30 Runsheng Bai , Chengyu Zhang , Yangdong Deng

Dense reconstruction and differentiable rendering are fundamental tightly connected operations in 3D vision and computer graphics. Recent neural implicit representations demonstrate compelling advantages in reconstruction fidelity and…

Robotics · Computer Science 2026-05-25 Zhirui Dai , Hojoon Shin , Yulun Tian , Ki Myung Brian Lee , Nikolay Atanasov