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We give a detailed proof of a new characterization of the Weak Expectation Property (WEP) announced by Haagerup in the 1990's but unavailable (in any form) till now. Our main result is motivated by a well known conjecture of Kirchberg,…

Operator Algebras · Mathematics 2019-07-24 Gilles Pisier

We analyze variational inference for highly symmetric graphical models such as those arising from first-order probabilistic models. We first show that for these graphical models, the tree-reweighted variational objective lends itself to a…

Artificial Intelligence · Computer Science 2014-06-23 Hung Hai Bui , Tuyen N. Huynh , David Sontag

The formulation of Weak Isolated Horizons (WIH) based on the Isolated Horizon formulation of black hole horizons is reconsidered. The first part of the paper deals with the derivation of laws of mechanics of a WIH. While the zeroth law…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Ayan Chatterjee , Amit Ghosh

Einstein's Weak Equivalence Principle (WEP), the universality of free fall, is a fundamental component of general relativity and other metric theories of gravity. Its validity can be tested through the post-Newtonian parameter gamma, which…

High Energy Astrophysical Phenomena · Physics 2026-04-21 Tian-Cong Wang , Aleksandra Piorkowska - Kurpas , Marek Biesiada , He Gao

This work provides some general theorems about unconditional and conditional weak convergence of empirical processes in the case of Poisson sampling designs. The theorems presented in this work are stronger than previously published…

Statistics Theory · Mathematics 2019-06-12 Leo Pasquazzi

We investigate the geometry of forking for U-rank 2 elements in supersimple w-categorical theories and prove stable forking and some structural properties for such elements. We extend this analysis to the case of U-rank 3 elements.

Logic · Mathematics 2007-05-23 Assaf Peretz

Deep quantization methods have shown high efficiency on large-scale image retrieval. However, current models heavily rely on ground-truth information, hindering the application of quantization in label-hungry scenarios. A more realistic…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Jinpeng Wang , Bin Chen , Qiang Zhang , Zaiqiao Meng , Shangsong Liang , Shu-Tao Xia

Insects, such as fruit flies and honey bees, can solve simple associative learning tasks and learn abstract concepts such as "sameness" and "difference", which is viewed as a higher-order cognitive function and typically thought to depend…

Computer Vision and Pattern Recognition · Computer Science 2021-09-15 Jinyung Hong , Theodore P. Pavlic

Strong artificial intelligence (AI) is envisioned to possess general cognitive abilities and scientific creativity comparable to human intelligence, encompassing both knowledge acquisition and problem-solving. While remarkable progress has…

Other Statistics · Statistics 2024-12-31 Samuel J. Eschker , Chuanhai Liu

We describe some basic facts about the weak subintegral closure of ideals in both the algebraic and complex-analytic settings. We focus on the analogy between results on the integral closure of ideals and modules and the weak subintegral…

Commutative Algebra · Mathematics 2008-09-12 Terence Gaffney , Marie A. Vitulli

In this paper, by using the decomposition theorem for weak Hardy spaces, we will obtain the boundedness properties of some integral operators with variable kernels on these spaces, under some Dini type conditions imposed on the variable…

Classical Analysis and ODEs · Mathematics 2014-01-27 Hua Wang

Observational evidence for dark matter can be explained by Weakly Interacting Massive Particles (WIMPs). These dark matter particle candidates could indirectly be detected through the observation of signals produced as part of WIMP…

High Energy Astrophysical Phenomena · Physics 2015-06-11 Carsten Rott

We review the halo-independent formalism, that allows to compare data from different direct dark matter detection experiments without making assumptions on the properties of the dark matter halo. We apply this method to spin-independent…

High Energy Physics - Phenomenology · Physics 2014-04-17 Eugenio Del Nobile

We perform a model-independent classification of Weakly Interacting Massive Particle (WIMP) dark matter candidates that have the property that their scattering off nucleons is dominated by spin-dependent interactions. We study…

High Energy Physics - Phenomenology · Physics 2010-07-01 Prateek Agrawal , Zackaria Chacko , Can Kilic , Rashmish K. Mishra

State-space search with explicit abstraction heuristics is at the state of the art of cost-optimal planning. These heuristics are inherently limited, nonetheless, because the size of the abstract space must be bounded by some, even if a…

Artificial Intelligence · Computer Science 2014-01-17 Michael Katz , Carmel Domshlak

In a recent Letter [PRL 113, 120404 (2014)] Ferrie and Combes claimed to show "that weak values are not inherently quantum, but rather a purely statistical feature of pre- and post-selection with disturbance." In this Comment I will show…

Quantum Physics · Physics 2014-09-19 Lev Vaidman

In this short note we clarify some aspects of the impact that the Weak Gravity Conjecture has on models of (generalized) natural inflation. We address in particular certain technical and conceptual concerns recently raised regarding the…

High Energy Physics - Theory · Physics 2016-05-04 Jon Brown , William Cottrell , Gary Shiu , Pablo Soler

We define strict and weak duality involutions on 2-categories, and prove a coherence theorem that every bicategory with a weak duality involution is biequivalent to a 2-category with a strict duality involution. For this purpose we…

Category Theory · Mathematics 2018-01-26 Michael Shulman

In this paper, I try to tame "Basu's elephants" (data with extreme selection on observables). I propose new practical large-sample and finite-sample methods for estimating and inferring heterogeneous causal effects (under unconfoundedness)…

Econometrics · Economics 2023-01-20 Ganesh Karapakula

Humans effortlessly navigate the physical world by predicting how objects behave under gravity and contact forces, yet how such judgments support sequential physical planning under resource constraints remains poorly understood. Research on…

Artificial Intelligence · Computer Science 2026-04-13 Ruihong Shen , Shiqian Li , Yixin Zhu