École Polytechnique Fédérale de Lausanne

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part II: Stochastic discretization

In this second article (Part II), we analyze the numerical algorithms for the Dynamical Low-Rank Approximation (DLRA) of Stochastic Differential Equations (SDEs) introduced in Part I arXiv:2601.21428 under the perspective of the stochastic discretization. Specifically, we employ...

Existence of Dynamical Low-Rank Approximation for SDEs with Locally Lipschitz Coefficients

Numerical simulations of high-dimensional stochastic differential equations (SDEs), which are increasingly employed in real-world applications, can be unaffordable in terms of computational time and memory. A possible solution is the deployment of reduced order methods (ROMs) tha...

Numerical Methods for Dynamical Low-Rank Approximations of Stochastic Differential Equations -- Part II: Stochastic discretization

In this second article (Part II), we analyze the numerical algorithms for the Dynamical Low-Rank Approximation (DLRA) of Stochastic Differential Equations (SDEs) introduced in Part I arXiv:2601.21428 under the perspective of the stochastic discretization. Specifically, we employ...

Existence of Dynamical Low-Rank Approximation for SDEs with Locally Lipschitz Coefficients

Numerical simulations of high-dimensional stochastic differential equations (SDEs), which are increasingly employed in real-world applications, can be unaffordable in terms of computational time and memory. A possible solution is the deployment of reduced order methods (ROMs) tha...

Machine learning reveals divergent drivers and migrating thresholds of cropland degradation in Southern and Northern China

Under the dual pressures of rapid urbanization and climate change, cropland systems in China are facing escalating degradation risks, posing a critical threat to national food security. However, the compound driving mechanisms and nonlinear threshold effects underlying cropland d...

Deciphering the genomic signatures of climate vulnerability across 77 sheep breeds

Abstract Among domesticated species, sheep ( Ovis aries ) have achieved a wide geographic distribution due to their mobility, rusticity and ability to adapt to diverse environments and climatic conditions. Here, we characterise the genome-wide diversity of >1,000 sheep representi...

A general and robust 3D finite element dynamics framework for railway vehicle–bridge interaction with nonlinear wheel–rail contact modeling

Abstract A key challenge in 3D finite element models of coupled railway vehicle–bridge dynamics is the rigorous definition of kinematic constraints and the development of an efficient, robust solution. This paper presents a novel approach that can be implemented in general finite...

Calibration of Event-Based Camera for High-Speed Observations of Lightning and Transient Luminous Events

Event-based vision sensors (EVSs) offer an innovative approach to optical sensing by responding solely to changes in photon flux with asynchronous pixels. This enables high-speed imaging with minimal data throughput and a large dynamical range > 120 dB. Despite their growing use...

Some singular examples of relative Langlands duality

Abstract Relative Langlands duality structures the study of automorphic periods around a putative duality between certain G -spaces and $$\check{G}$$ G ˇ -spaces, where $$G, \check{G}$$ G , G ˇ are dual reductive groups. In this article, after giving a self-contained exposition o...

A conserved tyrosine motif encodes a structural vulnerability controlling stability and activity across J-domain proteins

J-domain proteins (JDPs) direct Hsp70 functions through a conserved J-domain that engages and activates Hsp70. JDPs support proteostasis and are linked to development and disease, yet how they are regulated remains unclear. Here, we identify a conserved tyrosine motif outside the...

A Capsid Tyrosine Residue Governs the Proteolytic Inactivation of Echovirus 11 in Lakewater

Abstract Enteroviruses are environmentally transmissible human pathogens whose stability in natural waters varies widely, yet the molecular determinants underlying this variability remain largely unknown. Echovirus 11 (E11), a reemerging cause of severe neonatal infections, is ef...

Spatially Explicit Assessment of Pathogen-Related Health Impacts in Life Cycle Assessment

Abstract Pathogen-related human health impacts from wastewater emissions are not normally addressed in life cycle impact assessment (LCIA), limiting the use of life cycle assessment (LCA) to compare wastewater infrastructure and management options that differ in treatment perform...

Aggregation framework for continuous digital health measures and application to walking activity data

Abstract No standardized procedures for aggregating continuous digital health measures exist. Using a modified Delphi approach, we developed a framework to standardize the selection of aggregations that provide clinically meaningful, stable values. This was applied to aggregate s...

Characterization and Applications of the Protein Corona Forming on the Naturally Occurring Nanoparticles, Low-Density Lipoproteins

Abstract Low-density lipoproteins (LDL) are naturally occurring, monodisperse nanoparticles composed of proteins and lipids with an average diameter of 18–25 nm. Their biological functions such as cholesterol trafficking and their role in various diseases have been extensively st...

rsx: a high-performance streaming toolkit for RAD-seq sex determination

Abstract Background Restriction site-associated DNA sequencing (RAD-seq) is widely used to discover sex-linked markers in non-model organisms, and RADSex provides the reference workflow for building marker-by-individual depth tables and testing sex-biased marker distributions. It...

Measure Rigidity and Equidistribution for Fractal Carpets

Abstract Let $\theta $ θ be a Bernoulli measure which is stationary for a random walk generated by finitely many contracting rational affine dilations of $\mathbb{R}^{d}$ R d , and let $\mathcal{K} = \mathrm{supp}(\theta )$ K = supp ( θ ) be the corresponding attractor. An exampl...

The SITE syndrome produces classroom-blind technologies

Many experiments have shown the effectiveness of learning technologies, yet few results have been replicated at scale. This contribution questions the causal relationship between technology and learning outcomes and the myths of intrinsic technology effects. Rather than blaming t...

Advancing conflict research and response through satellite-derived data

Abstract With armed conflicts at a historic high and attacks on civilians rising 1 , understanding the evolving nature of conflict is a critical research priority. The current paradigm in conflict research relies heavily on text-based data, using fatalities as the primary—and oft...

CAF-mediated immune exclusion in osteosarcoma: mechanisms, translational vulnerabilities, and therapeutic strategies

Abstract Background Osteosarcoma remains a highly aggressive bone malignancy with limited therapeutic progress in metastatic and treatment-refractory disease. Beyond tumor-intrinsic drivers, the tumor microenvironment has emerged as a critical determinant of immune escape, therap...

Invited perspectives: Towards usable compound event research

Abstract. Supporting stakeholders with science-based decision-making to mitigate and adapt to climate change impacts is a central mandate of the climate research community. In particular, mapping out scenario-dependent climate risk landscapes is one of the most pressing challenge...