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In these lecture notes we present different methods and concepts developed in statistical physics to analyze gradient descent dynamics in high-dimensional non-convex landscapes. Our aim is to show how approaches developed in physics, mainly…

Disordered Systems and Neural Networks · Physics 2023-11-13 Tony Bonnaire , Davide Ghio , Kamesh Krishnamurthy , Francesca Mignacco , Atsushi Yamamura , Giulio Biroli

Many natural and technological systems fail to adapt to changing external conditions and move to a different state if the conditions vary too fast. Such "non-adiabatic" processes are ubiquitous, but little understood. We identify these…

Dynamical Systems · Mathematics 2015-06-18 Clare Perryman , Sebastian Wieczorek

While statistical learning methods have proved powerful tools for predictive modeling, the black-box nature of the models they produce can severely limit their interpretability and the ability to conduct formal inference. However, the…

Machine Learning · Statistics 2016-08-30 Lucas Mentch , Giles Hooker

The affective brain-computer interface is a crucial technology for affective interaction and emotional intelligence, emerging as a significant area of research in the human-computer interaction. Compared to single-type features, multi-type…

Human-Computer Interaction · Computer Science 2025-08-11 Xueyuan Xu , Wenjia Dong , Fulin Wei , Li Zhuo

Nonprobability samples have rapidly emerged to address time-sensitive priority topics in a variety of fields. While these data are timely, they are prone to selection bias. To mitigate selection bias, a large number of survey research…

Methodology · Statistics 2025-08-08 Kangrui Liu , Lingxiao Wang , Yan Li

A geometric representation for multivariate extremes, based on the shapes of scaled sample clouds in light-tailed margins and their so-called limit sets, has recently been shown to connect several existing extremal dependence concepts.…

Methodology · Statistics 2023-11-03 Jennifer Wadsworth , Ryan Campbell

Experimental High Energy Physics has entered an era of precision measurements. However, measurements of many of the accessible processes assume that the final states' underlying kinematic distribution is the same as the Standard Model…

High Energy Physics - Phenomenology · Physics 2024-07-16 Lorenz Gärtner , Nikolai Hartmann , Lukas Heinrich , Malin Horstmann , Thomas Kuhr , Méril Reboud , Slavomira Stefkova , Danny van Dyk

The inclusion of a macroscopic adaptive threshold is studied for the retrieval dynamics of both layered feedforward and fully connected neural network models with synaptic noise. These two types of architectures require a different method…

Disordered Systems and Neural Networks · Physics 2007-08-03 D. Bolle , R. Heylen

Current psychiatric research is in crisis. In this review I will describe the causes of this crisis and highlight recent efforts to overcome current challenges. One particularly promising approach is the emerging field of computational…

Neurons and Cognition · Quantitative Biology 2013-03-25 Thomas V. Wiecki

Scalable algorithms of posterior approximation allow Bayesian nonparametrics such as Dirichlet process mixture to scale up to larger dataset at fractional cost. Recent algorithms, notably the stochastic variational inference performs local…

Machine Learning · Computer Science 2025-02-25 Kart-Leong Lim , Xudong Jiang

We present a new asymptotic strategy for general micro-macro models which analyze complex viscoelastic fluids governed by coupled multiscale dynamics. In such models, the elastic stress appearing in the macroscopic continuum equation is…

Mathematical Physics · Physics 2025-12-22 Xuenan Li , Chun Liu , Di Qi

Empathetic Conversational Systems (ECS) are built to respond empathetically to the user's emotions and sentiments, regardless of the application domain. Current ECS studies evaluation approaches are restricted to offline evaluation…

Computation and Language · Computer Science 2024-07-29 Aravind Sesagiri Raamkumar , Siyuan Brandon Loh

High-dimensional classification has become an increasingly important problem. In this paper we propose a "Multivariate Adaptive Stochastic Search" (MASS) approach which first reduces the dimension of the data space and then applies a…

Applications · Statistics 2010-10-08 Tian Siva Tian , Gareth M. James , Rand R. Wilcox

Motivated by humans' ability to adapt skills in the learning of new ones, this paper presents AdaptNet, an approach for modifying the latent space of existing policies to allow new behaviors to be quickly learned from like tasks in…

The advancement and adoption of Artificial Intelligence (AI) models across diverse domains have transformed the way we interact with technology. However, it is essential to recognize that while AI models have introduced remarkable…

Cryptography and Security · Computer Science 2025-05-07 Hema Karnam Surendrababu , Nithin Nagaraj

A fully Bayesian approach is proposed for ultrahigh-dimensional nonparametric additive models in which the number of additive components may be larger than the sample size, though ideally the true model is believed to include only a small…

Methodology · Statistics 2013-09-24 Zuofeng Shang , Ping Li

We propose a new approach that combines multiple non-parametric likelihood-type components to build a data-driven approximation of the true likelihood function. Our approach is built on empirical likelihood, a non-parametric approximation…

Methodology · Statistics 2017-12-15 Adam Jaeger , Nicole Lazar

Entropy is useful in statistical problems as a measure of irreversibility, randomness, mixing, dispersion, and number of microstates. However, there remains ambiguity over the precise mathematical formulation of entropy, generalized beyond…

Statistical Mechanics · Physics 2023-08-21 Vladimir Zhdankin

Modeling and computation for multivariate longitudinal surveys have proven challenging, particularly when data are not all continuous and Gaussian but contain discrete measurements. In many social science surveys, study participants are…

Applications · Statistics 2016-06-09 Tsuyoshi Kunihama , Carolyn T. Halpern , Amy H. Herring

Many high-dimensional hypothesis tests aim to globally examine marginal or low-dimensional features of a high-dimensional joint distribution, such as testing of mean vectors, covariance matrices and regression coefficients. This paper…

Statistics Theory · Mathematics 2020-02-04 Yinqiu He , Gongjun Xu , Chong Wu , Wei Pan