Intersection cohomology groups of instanton moduli spaces and cotangent bundles of affine flag varieties

Kavli Affiliate: Hiraku Nakajima | First 5 Authors: Hiraku Nakajima, , , , | Summary: This is an abstract for my talk at the 68th Geometry Symposium on August 31, 2021. It is based on my joint work in progress with Dinakar Muthiah: a conjectural characterization of the equivariant costalk of the intersection cohomology complex […]


Continue.. Intersection cohomology groups of instanton moduli spaces and cotangent bundles of affine flag varieties

Ambarzumyan-type theorem for the Sturm-Liouville operator on the lasso graph

Kavli Affiliate: Feng Wang | First 5 Authors: Feng Wang, Chuan-Fu Yang | Summary: We consider the Sturm-Liouville operator on the lasso graph with a segment and a loop joined at one point, which has arbitrary length. The Ambarzumyan’s theorem for the operator is proved, which says that if the eigenvalues of the operator coincide […]


Continue.. Ambarzumyan-type theorem for the Sturm-Liouville operator on the lasso graph

Universality of the cross entropy in $mathbb{Z}_2$ symmetric monitored quantum circuits

Kavli Affiliate: Matthew P. A. Fisher | First 5 Authors: Maria Tikhanovskaya, Ali Lavasani, Matthew P. A. Fisher, Sagar Vijay, | Summary: The linear cross-entropy (LXE) has been recently proposed as a scalable probe of the measurement-driven phase transition between volume- and area-law-entangled phases of pure-state trajectories in certain monitored quantum circuits. Here, we demonstrate […]


Continue.. Universality of the cross entropy in $mathbb{Z}_2$ symmetric monitored quantum circuits

Universality of the cross entropy in $mathbb{Z}_2$ symmetric monitored quantum circuits

Kavli Affiliate: Matthew P. A. Fisher | First 5 Authors: Maria Tikhanovskaya, Ali Lavasani, Matthew P. A. Fisher, Sagar Vijay, | Summary: The linear cross-entropy (LXE) has been recently proposed as a scalable probe of the measurement-driven phase transition between volume- and area-law-entangled phases of pure-state trajectories in certain monitored quantum circuits. Here, we demonstrate […]


Continue.. Universality of the cross entropy in $mathbb{Z}_2$ symmetric monitored quantum circuits

Universality of the cross entropy in $mathbb{Z}_2$ symmetric monitored quantum circuits

Kavli Affiliate: Matthew P. A. Fisher | First 5 Authors: Maria Tikhanovskaya, Ali Lavasani, Matthew P. A. Fisher, Sagar Vijay, | Summary: The linear cross-entropy (LXE) has been recently proposed as a scalable probe of the measurement-driven phase transition between volume- and area-law-entangled phases of pure-state trajectories in certain monitored quantum circuits. Here, we demonstrate […]


Continue.. Universality of the cross entropy in $mathbb{Z}_2$ symmetric monitored quantum circuits

Control4D: Dynamic Portrait Editing by Learning 4D GAN from 2D Diffusion-based Editor

Kavli Affiliate: Cheng Peng | First 5 Authors: Ruizhi Shao, Jingxiang Sun, Cheng Peng, Zerong Zheng, Boyao Zhou | Summary: Recent years have witnessed considerable achievements in editing images with text instructions. When applying these editors to dynamic scene editing, the new-style scene tends to be temporally inconsistent due to the frame-by-frame nature of these […]


Continue.. Control4D: Dynamic Portrait Editing by Learning 4D GAN from 2D Diffusion-based Editor

Sensitivity analysis for publication bias on the time-dependent summary ROC analysis in meta-analysis of prognosis studies

Kavli Affiliate: Yi Zhou | First 5 Authors: Yi Zhou, Ao Huang, Satoshi Hattori | Summary: In the analysis of prognosis studies with time-to-event outcomes, dichotomization of patients is often made. As the evaluations of prognostic capacity, the survivals of groups with high/low expression of the biomarker are often estimated by the Kaplan-Meier method, and […]


Continue.. Sensitivity analysis for publication bias on the time-dependent summary ROC analysis in meta-analysis of prognosis studies

Discovering New Interpretable Conservation Laws as Sparse Invariants

Kavli Affiliate: Max Tegmark | First 5 Authors: Ziming Liu, Patrick Obin Sturm, Saketh Bharadwaj, Sam Silva, Max Tegmark | Summary: Discovering conservation laws for a given dynamical system is important but challenging. In a theorist setup (differential equations and basis functions are both known), we propose the Sparse Invariant Detector (SID), an algorithm that […]


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An Open-Source Tool for Automated Human-Level Circling Behavior Detection

Kavli Affiliate: Kathleen Cullen | Authors: Oliver R Stanley, Ananya Swaminathan, Elias Wojahn, Zubair M Ahmed and Kathleen E Cullen | Summary: Quantifying behavior and relating it to underlying biological states is of paramount importance in many life science fields. Although barriers to recording postural data have been reduced by progress in deep-learning-based computer vision […]


Continue.. An Open-Source Tool for Automated Human-Level Circling Behavior Detection