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We consider component-wise estimation of order restricted location/scale parameters $\theta_1$ and $\theta_2$ ($\theta_1\leq \theta_2$) of a general bivariate distribution under the squared error loss function. To find improvements over the…

Statistics Theory · Mathematics 2022-07-05 Naresh Garg , Neeraj Misra

Statistical independence is a notion ubiquitous in various fields such as in statistics, probability, number theory and physics. We establish the stability of independence for any pair of random variables by their corresponding Brockwell…

Probability · Mathematics 2024-04-12 Xingzhi Wang

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are…

Machine Learning · Statistics 2019-01-15 Felipe Tobar

We propose an approximation of nonlinear renewal equations by means of ordinary differential equations. We consider the integrated state, which is absolutely continuous and satisfies a delay differential equation. By applying the…

Numerical Analysis · Mathematics 2021-03-23 Francesca Scarabel , Odo Diekmann , Rossana Vermiglio

We propose that the symmetry-breaking bifurcation of coupled topological edge states (CTESs) can be used as a general principle for achieving spontaneous symmetry breaking (SSB) in a nonlinear topological lattice. Using an optical resonator…

Optics · Physics 2026-03-02 Rujiang Li , Letian Xu , Muhammad Imran , Wencai Wang , Yongtao Jia , Ying Liu

Bayesian neural networks (BNNs) provide a formalism to quantify and calibrate uncertainty in deep learning. Current inference approaches for BNNs often resort to few-sample estimation for scalability, which can harm predictive performance,…

Machine Learning · Computer Science 2024-02-14 Zhe Zeng , Guy Van den Broeck

Many-body eigenstates that are neither thermal nor many-body-localized (MBL) were numerically found in certain interacting chains with moderate quasiperiodic potentials. The energy regime consisting of these non-ergodic but extended (NEE)…

Disordered Systems and Neural Networks · Physics 2025-05-12 Colin Beveridge , Kathleen Hart , Cassio Rodrigo Cristani , Xiao Li , Enrico Barbierato , Yi-Ting Hsu

Reliable and efficient computation of the pseudospectral abscissa in the large-scale setting is still not settled. Unlike the small-scale setting where there are globally convergent criss-cross algorithms, all algorithms in the large-scale…

Numerical Analysis · Mathematics 2025-06-09 Waqar Ahmed , Emre Mengi

Bayesian Deep Learning (BDL) gives access not only to aleatoric uncertainty, as standard neural networks already do, but also to epistemic uncertainty, a measure of confidence a model has in its own predictions. In this article, we show…

Machine Learning · Statistics 2024-07-03 Mohammed Fellaji , Frédéric Pennerath

Weakly supervised semantic segmentation has attracted much research interest in recent years considering its advantage of low labeling cost. Most of the advanced algorithms follow the design principle that expands and constrains the seed…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Yude Wang , Jie Zhang , Meina Kan , Shiguang Shan , Xilin Chen

We propose a novel and theoretical model, blocked and hierarchical variational autoencoder (BHiVAE), to get better-disentangled representation. It is well known that information theory has an excellent explanatory meaning for the network,…

Information Theory · Computer Science 2021-01-22 Ziwen Liu , Mingqiang Li , Congying Han

Various biological phenomena, like cell differentiation and pattern formation in multicellular organisms, are explained using the bifurcation theory. Molecular network motifs like positive feedback and mutual repressor exhibit bifurcation…

Dynamical Systems · Mathematics 2024-11-26 Shikhar Raj , Biplab Bose

We introduce a new isomorphism invariant for generalized Baumslag-Solitar (GBS) groups, which we call the limit angle. Unlike previously known invariants, which are primarily algebraic, the limit angle admits a dynamical interpretation,…

Group Theory · Mathematics 2025-08-06 Dario Ascari , Montserrat Casals-Ruiz , Ilya Kazachkov

We develop a new framework of uncertainty variables to model uncertainty. An uncertainty variable is characterized by an uncertainty set, in which its realization is bound to lie, while the conditional uncertainty is characterized by a set…

Machine Learning · Statistics 2019-12-10 Rajat Talak , Sertac Karaman , Eytan Modiano

We perform an extensive numerical analysis of $\beta$-skeleton graphs, a particular type of proximity graphs. In a $\beta$-skeleton graph (BSG) two vertices are connected if a proximity rule, that depends of the parameter…

Physics and Society · Physics 2019-12-25 L. Alonso , J. A. Méndez-Bermúdez , Ernesto Estrada

The Bethe-Salpeter (BS) equation in the ladder approximation is studied within a scalar theory: two scalar fields (constituents) with mass $m$ interacting via an exchange of a scalar field (tieon) with mass $\mu$. The BS equation is written…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. V. Efimov

A Bayesian Network (BN) is a probabilistic model that represents a set of variables using a directed acyclic graph (DAG). Current algorithms for learning BN structures from data focus on estimating the edges of a specific DAG, and often…

Combinatorics · Mathematics 2022-10-17 Luke Duttweiler , Sally W. Thurston , Anthony Almudevar

We analyze a phenomenon called ``image reflection'' on a type of characterization graphs -- LLEE charts -- of 1-free regular expressions. Due to the correspondence between 1-free regular expressions and the provable solutions of LEE/LLEE…

Logic in Computer Science · Computer Science 2024-02-08 Yuanrui Zhang , Xinxin Liu

In [5] the structure of the bifurcation diagrams of a class of superlinear indefinite problems with a symmetric weight was ascertained, showing that they consist of a primary branch and secondary loops bifurcating from it. In [4] it has…

Classical Analysis and ODEs · Mathematics 2015-12-08 Andrea Tellini

Pretrained multilingual language models (LMs) can be successfully transformed into multilingual sentence encoders (SEs; e.g., LaBSE, xMPNet) via additional fine-tuning or model distillation with parallel data. However, it remains unclear…

Computation and Language · Computer Science 2022-10-14 Ivan Vulić , Goran Glavaš , Fangyu Liu , Nigel Collier , Edoardo Maria Ponti , Anna Korhonen