Courant Institute of Mathematical Sciences

The basins of attraction of soft-sphere packings are not fractal

The energy landscape picture is a central tool to study many-body systems. In particular, the energy landscapes of glass-forming liquids, jammed packings, constraint satisfaction problems, or neural networks contain a plethora of minima corresponding to competing states. Due to t...

Foveated metamers of the early visual system

Abstract The ability of humans to discriminate and identify spatial patterns varies across the visual field, and is generally worse in the periphery than in the fovea. This decline in performance is revealed in many kinds of tasks, from detection to recognition. A parsimonious hy...

Lighting and circadian cues shape locomotor strategies for balance and navigation in larval zebrafish

Most fish are inherently unstable and must swim to stabilize posture. How diurnal fish reduce activity at night while maintaining postural control remains unclear. We defined distinct locomotor strategies that larval zebrafish (Danio rerio) use to control posture and navigate the...

Nonlinear Quantum Effects Drive Grotthuss Proton Conduction in Structured Electrolytes Based on Deep Eutectic Solvents

ABSTRACT Structured electrolytes based on deep eutectic solvents (DESs) face electrochemical limitations of vehicular diffusion due to high viscosities often leading to low conductivities. Here, we demonstrate that the inverse relationship between viscosity and conductivity in DE...

Building blocks of localized storm tracks: revisiting asymmetries between the NH and SH in storm track strength

An intermediate-complexity moist general circulation model is used to investigate the forcing of localized storm tracks by land–sea contrast, horizontal gradients in ocean heat uptake, planetary albedo, and topography. The additivity of the response to these building blocks is in...

Random analog prediction provides a benchmark for seasonal Arctic sea ice extent forecasting

Abstract We develop a random analog predictor (RAP) algorithm for the forecasting of Arctic sea ice extent (SIE) on seasonal timescales. This is a stochastic variant for scalar time series of the method of the analogues that only uses the historical SIE record to produce ensemble...

Development and validation of VentPilot: an AI-based recommendation system for mechanical ventilation

BACKGROUND: Mechanical ventilation requires repeated adjustment to changing patient physiology, but consistent individualized management remains challenging. We developed VentPilot, an artificial intelligence-based system for recommending ventilator settings, and evaluated it in...

Cheating by the Rules

Calculating candidate options.

Transition to Double‐Cell Mock Walker Circulations With Surface Warming Explained by Periodic Convection

Abstract Idealized mock Walker simulations are widely used to study the interactions between overturning circulation and convection in the tropics. Previous studies documented a transition from a single‐cell to a double‐cell mock Walker circulation when the average sea surface te...

\({\mathcal{H}}_{2}\)-Optimal Model Reduction of Linear Quadratic-Output Systems by Multivariate Rational Interpolation

Abstract. This paper addresses the [Formula: see text]-optimal approximation of linear dynamical systems with quadratic-output functions, also known as linear quadratic-output systems. Our major contributions are threefold. First, we derive interpolatory first-order optimality co...

Information Geometric Regularization of the Barotropic Euler Equation

Abstract. Shock waves in gas dynamics feature jump discontinuities that hinder numerical simulations. Viscous regularizations are prone to excessive dissipation of fine-scale structures. In this work, we propose the first inviscid regularization of the multidimensional Euler equa...

DyAb: sequence-based antibody design and property prediction in a low-data regime

ABSTRACT Protein therapeutic design and property prediction are frequently hampered by data scarcity. Here we propose a new model, DyAb, that addresses these issues by leveraging a pair-wise representation to predict differences in protein properties, rather than absolute values....

Symmetric Hermite Quadrature‐Based Balanced Truncation for Learning Linear Dynamical Systems From Derivative Data

ABSTRACT Data‐driven reduced‐order modeling is an essential component in the computer‐aided design of control systems. In this work, we present a novel symmetric Hermite formulation of the quadrature‐based balanced truncation algorithm that constructs linear reduced‐order models...

Deep learning models for reliable weather forecasting in crowded regions performing traditional or religious activities

Forecasting weather during large-scale traditional or religious events in densely populated regions is particularly challenging because of the ever-evolving microclimatic changes caused by human activities. This study designed and tested two new deep learning-based approaches for...

Joint-RPCA: domain-aware multi-omics integration for systems microbiology

Integrating multi-omics data is essential for microbiome research, as microbial communities are shaped by and respond to interdependent processes, including taxonomic composition, metabolite production and utilization, and gene expression. However, accurately capturing ecosystem-...

Realization of unconventional staircase topological Anderson phase transitions

Topological Anderson insulators provide a paradigm for disorder-induced topology, in which the underlying system turns from a trivial to a topological phase. It is widely recognized that the latter disappears at large disorder amplitude. Here, and contrary to the general belief,...