Results 131 to 140 of about 25,635 (317)

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

The geometry of independence tree models with hidden variables [PDF]

, 2010
In this paper we investigate the geometry of undirected discrete graphical models of trees when all the variables in the system are binary, where leaves represent the observable variables and where the inner nodes are unobserved.
Zwiernik, Piotr, Smith, J. Q.
core  

Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley   +1 more source

Patient‐Centric First‐in‐Human Dose Selection: An Ex Vivo Minimal Anticipated Biological Effect Level Approach for T‐Cell Engagers in Multiple Myeloma

Clinical Pharmacology &Therapeutics, EarlyView.
The minimal anticipated biological effect level (MABEL) approach to first‐in‐human (FIH) dose calculation can lead to long dose‐escalation periods before observing clinical activity. We used a novel ex vivo MABEL approach to calculate the FIH starting dose for forimtamig, a T‐cell bispecific antibody under investigation for the treatment of relapsed ...
Thomas E. Kraft, Estelle Marrer‐Berger, Sara Belli, Helene Haegel, Anneliese Schneider, Anna Maria Giusti, Michael Bscheider, Wolfgang Jacob, Martin Weisser, Laura Blanco, Nicolas Frances, Eva Rossmann, Guido Steiner, Aintzane Zabaleta Azpiroz, Bruno Paiva, Ludovic Martinet, Tanja Fauti   +16 more
wiley   +1 more source

Algebra and geometry of camera resectioning

Mathematics of Computation
We study algebraic varieties associated with the camera resectioning problem. We characterize these resectioning varieties’ multigraded vanishing ideals using Gröbner basis techniques. As an application, we derive and re-interpret celebrated results in geometric computer vision related to camera-point duality. We also clarify some relationships between
Erin Connelly, Timothy Duff, Jessie Loucks-Tavitas   +2 more
openaire   +3 more sources

Photometric Diagnostic of the Sheath Dynamics and Electron Density Trends in Single and Dual Frequency CCRF Argon Plasmas

Contributions to Plasma Physics, EarlyView.
ABSTRACT A methodological study is presented on a noninvasive photometric diagnostic for determining trends in electron density and sheath dynamics in single (1f) and a dual (2f) radio frequency capacitively coupled (CCRF) argon plasmas. The 1f discharges are operated at 13.56 and 27.12 MHz, respectively, while the 2f discharge is driven by both ...
Daniel Zuhayra, Jessica Niemann, Viktor Schneider, Holger Kersten   +3 more
wiley   +1 more source

IDENTIFYING THE NUMBER OF COMPONENTS IN GAUSSIAN MIXTURE MODELS USING NUMERICAL ALGEBRAIC GEOMETRY. [PDF]

J Algebra Appl, 2020
Shirinkam S, Alaeddini A, Gross E.
europepmc   +1 more source

Computer Algebra and Algebraic. Geometry—Achievements and Perspectives

Journal of Symbolic Computation, 2000
33 pages, 36 figures, to appear in: Journal of Symbolic Computation ...
openaire   +3 more sources

Review and prospects of shear test of bolted rock joints

Deep Underground Science and Engineering, EarlyView.
The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren, Fan Yang, Manchao He, Yong Yuan, Zhigang Tao   +4 more
wiley   +1 more source

Influence of Structural and Environmental Parameters on Solar Air Collector Performance

Energy Science &Engineering, EarlyView.
Increasing air gap depth and mass flow rate significantly enhances the thermal performance of solar air collectors, with optimal performance achieved at an 8.5 cm air gap and 0.01318 kg/s mass flow rate. Air gap depth is identified as the dominant factor influencing system efficiency.
Quankun Zhu, István Farkas, János Buzas   +2 more
wiley   +1 more source