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This paper develops a new framework for indirect statistical inference with guaranteed necessity and sufficiency, applicable to continuous random variables. We prove that when comparing exponentially transformed order statistics from an…

Statistics Theory · Mathematics 2025-09-25 Z Zhang , X Hu , C Lu , T Liu

Deep neural networks excel at comprehending complex visual signals, delivering on par or even superior performance to that of human experts. However, ad-hoc visual explanations of model decisions often reveal an alarming level of reliance…

Computer Vision and Pattern Recognition · Computer Science 2021-05-03 Dong Wang , Yuewei Yang , Chenyang Tao , Zhe Gan , Liqun Chen , Fanjie Kong , Ricardo Henao , Lawrence Carin

Probabilistic shaping (PS) has attracted significant attention in intensity-modulation and direct-detection (IM-DD) systems. However, due to the unique system model and inherent constraints, the effective application of the PS technique is…

Signal Processing · Electrical Eng. & Systems 2025-07-25 Dongdong Zou , Wei Wang , Jiawen Yao , Zhongxing Tian , Zeyu Feng , Huan Huang , Fan Li , Gordon Ning Liu , Gangxiang Shen , Yi Cai

We give an introduction to a notion of weak dependence which is more general than mixing and allows to treat for example processes driven by discrete innovations as they appear with time series bootstrap. As a typical example, we analyze…

Probability · Mathematics 2008-12-18 Paul Doukhan , Michael H. Neumann

Shannon's entropy power inequality (EPI) can be viewed as a statement of concavity of an entropic function of a continuous random variable under a scaled addition rule: $$f(\sqrt{a}\,X + \sqrt{1-a}\,Y) \ge a f(X) + (1-a) f(Y) \quad \forall…

Quantum Physics · Physics 2016-06-06 Koenraad Audenaert , Nilanjana Datta , Maris Ozols

Input-to-State Stability (ISS) is fundamental in mathematically quantifying how stability degrades in the presence of bounded disturbances. If a system is ISS, its trajectories will remain bounded, and will converge to a neighborhood of an…

Systems and Control · Electrical Eng. & Systems 2023-05-01 Preston Culbertson , Ryan K. Cosner , Maegan Tucker , Aaron D. Ames

An efficient and reliable stress computation algorithm is presented, which is based on implicit integration of the local evolution equations of multiplicative finite-strain plasticity/viscoplasticity. The algorithm is illustrated by an…

Numerical Analysis · Mathematics 2016-05-25 A. V. Shutov

Instance sparsification is well-known in the world of exact computation since it is very closely linked to the Exponential Time Hypothesis. In this paper, we extend the concept of sparsification in order to capture subexponential time…

Computational Complexity · Computer Science 2014-02-17 Edouard Bonnet , Vangelis Th. Paschos

Structural network embedding is a crucial step in enabling effective downstream tasks for complex systems that aims to project a network into a lower-dimensional space while preserving similarities among nodes. We introduce a simple and…

Social and Information Networks · Computer Science 2024-12-23 Giuseppe Squillace , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

Given a statistical model, we propose a novel estimation method that yields randomised estimators for the unknown distribution of an observed random variable. We establish non-asymptotic bounds for the performance of these estimators and…

Statistics Theory · Mathematics 2026-05-06 Yannick Baraud

Entropy notions for $\varepsilon$-incremental practical stability and incremental stability of deterministic nonlinear systems under disturbances are introduced. The entropy notions are constructed via a set of points in state space which…

Optimization and Control · Mathematics 2022-09-13 Michelle S. Chong

Efficient Balanced Networks (EBNs) are networks of spiking neurons in which excitatory and inhibitory synaptic currents are balanced on a short timescale, leading to desirable coding properties such as high encoding precision, low firing…

Emerging Technologies · Computer Science 2021-02-15 Julian Büchel , Jonathan Kakon , Michel Perez , Giacomo Indiveri

Semi-implicit variational inference (SIVI) is introduced to expand the commonly used analytic variational distribution family, by mixing the variational parameter with a flexible distribution. This mixing distribution can assume any density…

Machine Learning · Statistics 2018-05-30 Mingzhang Yin , Mingyuan Zhou

We study identification of stochastic Wiener dynamic systems using so-called indirect inference. The main idea is to first fit an auxiliary model to the observed data and then in a second step, often by simulation, fit a more structured…

Optimization and Control · Mathematics 2015-07-21 Bo Wahlberg , James Welsh , Lennart Ljung

A metric called exponentially-weighted energy dispersion index (EEDI) is proposed to explain the blocklength-dependent effective signal-to-noise ratio (SNR) in probabilistically shaped fiber-optic systems. EEDI is better than energy…

Signal Processing · Electrical Eng. & Systems 2021-06-10 Kaiquan Wu , Gabriele Liga , Yunus Can Gültekin , Alex Alvarado

Future wireless networks are envisioned to provide ubiquitous sensing services, which also gives rise to a substantial demand for high-dimensional non-convex parameter estimation, i.e., the associated likelihood function is non-convex and…

Signal Processing · Electrical Eng. & Systems 2023-10-10 Zhixiang Hu , An Liu , Minjian Zhao

This paper shows how we can make use of an asynchronous transition system, whose transitions are labelled with events and which is equipped with a notion of independence of events, to define non-interleaving semantics for the applied…

Logic in Computer Science · Computer Science 2022-09-13 Clément Aubert , Ross Horne , Christian Johansen

This paper addresses the challenge of transient stability in power systems with missing parameters and uncertainty propagation in swing equations. We introduce a novel application of Physics-Informed Neural Networks (PINNs), specifically an…

Artificial Intelligence · Computer Science 2023-11-23 Ren Wang , Ming Zhong , Kaidi Xu , Lola Giráldez Sánchez-Cortés , Ignacio de Cominges Guerra

Bayesian networks (BNs) are attractive, because they are graphical and interpretable machine learning models. However, exact inference on BNs is time-consuming, especially for complex problems. To improve the efficiency, we propose a fast…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-03-14 Jiantong Jiang , Zeyi Wen , Atif Mansoor , Ajmal Mian

Simulation-based inference (SBI) is emerging as a new statistical paradigm for addressing complex scientific inference problems. By leveraging the representational power of deep neural networks, SBI can extract the most informative…

Instrumentation and Methods for Astrophysics · Physics 2025-10-17 Huifang Lyu , James Alvey , Noemi Anau Montel , Mauro Pieroni , Christoph Weniger