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This work introduces a new class of cross-diffusion systems for studying overcrowding dispersal of two species. The approach, based on proximal minimization energy through a minimum flow process, offers a potential generalization of…

偏微分方程分析 · 数学 2024-05-27 Noureddine Igbida

Standard neural network based on general back propagation learning using delta method or gradient descent method has some great faults like poor optimization of error-weight objective function, low learning rate, instability .This paper…

神经与进化计算 · 计算机科学 2012-12-20 Mriganka Chakraborty , Arka Ghosh

Define a forward problem as $\rho_y = G_\#\rho_x$, where the probability distribution $\rho_x$ is mapped to another distribution $\rho_y$ using the forward operator $G$. In this work, we investigate the corresponding inverse problem: Given…

最优化与控制 · 数学 2025-04-29 Qin Li , Maria Oprea , Li Wang , Yunan Yang

Variational inequalities as an effective tool for solving applied problems, including machine learning tasks, have been attracting more and more attention from researchers in recent years. The use of variational inequalities covers a wide…

最优化与控制 · 数学 2024-12-20 Daniil Medyakov , Gleb Molodtsov , Aleksandr Beznosikov

We propose a new framework for binary classification in transfer learning settings where both covariate and label distributions may shift between source and target domains. Unlike traditional covariate shift or label shift assumptions, we…

统计方法学 · 统计学 2025-09-29 Manli Cheng , Subha Maity , Qinglong Tian , Pengfei Li

We revisit the distributed hypothesis testing (or hypothesis testing with communication constraints) problem from the viewpoint of privacy. Instead of observing the raw data directly, the transmitter observes a sanitized or randomized…

信息论 · 计算机科学 2019-06-26 Atefeh Gilani , Selma Belhadj Amor , Sadaf Salehkalaibar , Vincent Y. F. Tan

Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

最优化与控制 · 数学 2022-05-31 Marina Danilova , Eduard Gorbunov

We introduce constraints necessary for type checking a higher-order concurrent constraint language, and solve them with an incremental algorithm. Our constraint system extends rational unification by constraints x$\subseteq$ y saying that…

cmp-lg · 计算机科学 2008-02-03 Martin Mueller , Joachim Niehren

We study a hypothesis testing problem in which data is compressed distributively and sent to a detector that seeks to decide between two possible distributions for the data. The aim is to characterize all achievable encoding rates and…

信息论 · 计算机科学 2011-02-01 Md. Saifur Rahman , Aaron B. Wagner

A well-known technique in estimating probabilities of rare events in general and in information theory in particular (used, e.g., in the sphere-packing bound), is that of finding a reference probability measure under which the event of…

信息论 · 计算机科学 2014-12-23 Rami Atar , Neri Merhav

We study a class of $K$-encoder hypothesis testing against conditional independence problems. Under the criterion that stipulates minimization of the Type II error subject to a (constant) upper bound $\epsilon$ on the Type I error, we…

信息论 · 计算机科学 2022-07-05 Abdellatif Zaidi

Cut-set bounds on achievable rates for network communication protocols are not in general tight. In this paper we introduce a new technique for proving converses for the problem of transmission of correlated sources in networks, that…

信息论 · 计算机科学 2011-05-31 Amin Aminzadeh Gohari , Shenghao Yang , Sidharth Jaggi

We study task-oriented lossy compression through the lens of rate-distortion-classification (RDC) representations. The source is Bernoulli, the distortion measure is Hamming, and the binary classification variable is coupled to the source…

信息论 · 计算机科学 2026-05-19 Nam Nguyen , Thinh Nguyen , Bella Bose

In modern communication systems such as the Internet, random losses of information can be mitigated by oversampling the source. This is equivalent to expanding the source using overcomplete systems of vectors (frames), as opposed to the…

泛函分析 · 数学 2025-10-20 Roman Vershynin

In some scenarios, classifier requires detecting out-of-distribution samples far from its training data. With desirable characteristics, reconstruction autoencoder-based methods deal with this problem by using input reconstruction error as…

计算机视觉与模式识别 · 计算机科学 2023-03-30 Yibo Zhou

Transfer learning, or domain adaptation, is concerned with machine learning problems in which training and testing data come from possibly different probability distributions. In this work, we give an information-theoretic analysis of the…

信息论 · 计算机科学 2024-08-09 Xuetong Wu , Jonathan H. Manton , Uwe Aickelin , Jingge Zhu

In this work, we consider a distributed source coding problem with a joint distortion criterion depending on the sources and the reconstruction. This includes as a special case the problem of computing a function of the sources to within…

信息论 · 计算机科学 2008-08-21 Dinesh Krithivasan , S. Sandeep Pradhan

The problem of detecting whether a test sample is from in-distribution (i.e., training distribution by a classifier) or out-of-distribution sufficiently different from it arises in many real-world machine learning applications. However, the…

机器学习 · 统计学 2018-02-27 Kimin Lee , Honglak Lee , Kibok Lee , Jinwoo Shin

This paper investigates the asymptotics of the maximal throughput of communication over AWGN channels by $n$ channel uses under a covert constraint in terms of an upper bound $\delta$ of Kullback-Leibler divergence (KL divergence). It is…

信息论 · 计算机科学 2026-04-08 Xinchun Yu , Shuangqing Wei , Shao-Lun Huang , Xiao-Ping Zhang

We derive an (almost) guaranteed upper bound on the error of deep neural networks under distribution shift using unlabeled test data. Prior methods either give bounds that are vacuous in practice or give estimates that are accurate on…

机器学习 · 统计学 2023-06-02 Elan Rosenfeld , Saurabh Garg