Tootfinder

EBRD to unlock $1 billion in credit for Ukraine's key sectors, considers mineral projects: https://benborges.xyz/2025/07/07/ebrd-to-unlock-billion-in.html

NSA considers -- then disavows -- leadership reshuffle (John Sakellariadis/Politico)
https://www.politico.com/news/2025/06/05/nsa-considers-then-disavows-leadership-reshuffle-00391130
http://www.memeorandum.com/250605/p141#a250605p141

Comprehensive Modeling of Camera Spectral and Color Behavior
Sanush K Abeysekera, Ye Chow Kuang, Melanie Po-Leen Ooi
https://arxiv.org/abs/2507.04617 https…

Comprehensive Modeling of Camera Spectral and Color Behavior
The spectral response of a digital camera defines the mapping between scene radiance and pixel intensity. Despite its critical importance, there is currently no comprehensive model that considers the end-to-end interaction between light input and pixel intensity output. This paper introduces a novel technique to model the spectral response of an RGB digital camera, addressing this gap. Such models are indispensable for applications requiring accurate color and spectral data interpretation. The …

On the well-posedness of time-space fractional Schr\"{o}dinger equation on $\mathbb{R}^{d}$
Yong Zhen Yang, Yong Zhou
https://arxiv.org/abs/2507.04433

On the well-posedness of time-space fractional Schrödinger equation on $\mathbb{R}^{d}$
This paper considers the well-posedness of a class of time-space fractional Schrödinger equations introduced by Naber. In contrast to the classical Schrödinger equation, the solution operator here exhibits derivative loss and lacks the structure of a semigroup, which makes the classical Strichartz estimates inapplicable. By using harmonic analysis tools -- including the smoothing effect theory of Kenig and Ponce for Korteweg-de Vries equations \cite[\emph{Commun.~Pure Appl.~Math.}]{Kenig}, re…

This https://arxiv.org/abs/2505.20597 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

LSZ ghostbusters in the quadratic gravity stage
The present letter considers the quantization method developed in [1]-[9], which postulates that, in several situations, negative norm or ghost states can be avoided in order to give positive probabilities. These authors also postulate a candidate for a path integral for those theories, following pioneer works initiated by Dirac [10]} and Pauli \[11]. However, taking into account the non standard oscillator algebra inherent to this method, in order to be sure that unitarity is not violated, one…

“This considers how two modern cameras handle a difficult color challenge, illustrated by photos of a perfect rose and a piano.” https://www.tbray.org/ongoing/When/202x/2025/05/31/Colors

Perfectly Different Colors

This https://arxiv.org/abs/2410.14899 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Out-of-distribution Robust Optimization
In this paper, we consider the contextual robust optimization problem under an out-of-distribution setting. The contextual robust optimization problem considers a risk-sensitive objective function for an optimization problem with the presence of a context vector (also known as covariates or side information) capturing related information. While the existing works mainly consider the in-distribution setting, and the resultant robustness achieved is in an out-of-sample sense, our paper studies an…

Spectral Efficiency Maximization for mmWave MIMO-Aided Integrated Sensing and Communication Under Practical Constraints
Jitendra Singh, Anand Mehrotra, Suraj Srivastava, Aditya K. Jagannatham, Lajos Hanzo
https://arxiv.org/abs/2506.04683

Spectral Efficiency Maximization for mmWave MIMO-Aided Integrated Sensing and Communication Under Practical Constraints
A hybrid transmit precoder (TPC) and receive combiner (RC) pair is conceived for millimeter wave (mmWave) multiple input multiple output (MIMO) integrated sensing and communication (ISAC) systems. The proposed design considers a practical mean squared error (MSE) constraint between the desired and the achieved beampatterns constructed for identifying radar targets (RTs). To achieve optimal performance, we formulate an optimization problem relying on sum spectral efficiency (SE) maximization of …

Strong stability of linear delay-difference equations
Felipe Gon\c{c}alves Netto, Yacine Chitour, Guilherme Mazanti
https://arxiv.org/abs/2506.05002 https:…

Strong stability of linear delay-difference equations
This paper considers linear delay-difference equations, that is, equations relating the state at a given time with its past values over a given bounded interval. After providing a well-posedness result and recalling Hale--Silkowski Criterion for strong stability in the case of equations with finitely many pointwise delays, we propose a generalization of the notion of strong stability to the more general class of linear delay-difference equations with an integral term defined by a matrix-valued …

This https://arxiv.org/abs/2502.18284 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Nested Expectations with Kernel Quadrature
This paper considers the challenging computational task of estimating nested expectations. Existing algorithms, such as nested Monte Carlo or multilevel Monte Carlo, are known to be consistent but require a large number of samples at both inner and outer levels to converge. Instead, we propose a novel estimator consisting of nested kernel quadrature estimators and we prove that it has a faster convergence rate than all baseline methods when the integrands have sufficient smoothness. We then dem…

Benchmark for Antibody Binding Affinity Maturation and Design
Xinyan Zhao, Yi-Ching Tang, Akshita Singh, Victor J Cantu, KwanHo An, Junseok Lee, Adam E Stogsdill, Ashwin Kumar Ramesh, Zhiqiang An, Xiaoqian Jiang, Yejin Kim
https://arxiv.org/abs/2506.04235

Benchmark for Antibody Binding Affinity Maturation and Design
We introduce AbBiBench (Antibody Binding Benchmarking), a benchmarking framework for antibody binding affinity maturation and design. Unlike existing antibody evaluation strategies that rely on antibody alone and its similarity to natural ones (e.g., amino acid identity rate, structural RMSD), AbBiBench considers an antibody-antigen (Ab-Ag) complex as a functional unit and evaluates the potential of an antibody design binding to given antigen by measuring protein model's likelihood on the Ab-Ag…

Direct reconstruction of general elastic inclusions
Sarah Eberle-Blick, Henrik Garde, Nuutti Hyv\"onen
https://arxiv.org/abs/2507.04831 https://

Direct reconstruction of general elastic inclusions
The inverse problem of linear elasticity is to determine the Lamé parameters, which characterize the mechanical properties of a domain, from pairs of pressure activations and the resulting displacements on its boundary. This work considers the specific problem of reconstructing inclusions that manifest themselves as deviations from the background Lamé parameters. The monotonicity method is a direct reconstruction method that has previously been considered for domains only containing positiv…

Beamforming for Secure RSMA-Aided ISAC Systems
Qian Dan, Hongjiang Lei, Ki-Hong Park, Gaofeng Pan
https://arxiv.org/abs/2506.03622 https://

Beamforming for Secure RSMA-Aided ISAC Systems
This work investigates the physical layer security of rate-splitting multiple access (RSMA)-aided integrated communication and sensing (ISAC) systems. The ISAC base station (BS) transmits signals to communicate with users in an eavesdropped scenario and to estimate the parameters of the sensed targets. The research considers different sensing signals under RSMA technology and the Cram{é}r-Rao bound of the parameter estimation is utilized as the sensing metric. With the channel state informatio…

Occlusion-Aware Ground Target Tracking by a Dubins Vehicle Using Visibility Volumes
Collin Hague, Artur Wolek
https://arxiv.org/abs/2506.03400 https://

Occlusion-Aware Ground Target Tracking by a Dubins Vehicle Using Visibility Volumes
This paper considers the problem of tracking a point of interest (POI) moving along a known trajectory on the ground with an uncrewed aerial vehicle (UAV) modeled as a Dubins vehicle using a line-of-sight (LOS) sensor through an urban environment that may occlude the POI. A visibility volume (VV) encodes a time-varying, three-dimensional representation of the sensing constraints for a particular POI position. A constant-altitude, translating, and radially time-varying circular standoff orbit is…

Sources: Reddit is exploring Tools for Humanity's World ID identity system to allow users to verify that they are unique individuals while remaining anonymous (Reed Albergotti/Semafor)
https://www.semafor.com/article/06/20/2025

Reddit in talks to embrace Sam Altman’s iris-scanning Orb to verify users
Reddit, racing to preserve “humanness and authenticity,” has discussed using Sam Altman’s World ID, sources say.

2-Homogeneous bipartite distance-regular graphs and the quantum group $U^\prime_q(\mathfrak{so}_6)$
Paul Terwilliger
https://arxiv.org/abs/2506.02190 https…

2-Homogeneous bipartite distance-regular graphs and the quantum group $U^\prime_q(\mathfrak{so}_6)$
We consider a 2-homogeneous bipartite distance-regular graph $Γ$ with diameter $D \geq 3$. We assume that $Γ$ is not a hypercube nor a cycle. We fix a $Q$-polynomial ordering of the primitive idempotents of $Γ$. This $Q$-polynomial ordering is described using a nonzero parameter $q \in \mathbb C$ that is not a root of unity. We investigate $Γ$ using an $S_3$-symmetric approach. In this approach one considers $V^{\otimes 3} = V \otimes V \otimes V$ where $V$ is the standard module of $Γ$. W…

Was Residual Penalty and Neural Operators All We Needed for Solving Optimal Control Problems?
Oliver G. S. Lundqvist, Fabricio Oliveira
https://arxiv.org/abs/2506.04742

Was Residual Penalty and Neural Operators All We Needed for Solving Optimal Control Problems?
Neural networks have been used to solve optimal control problems, typically by training neural networks using a combined loss function that considers data, differential equation residuals, and objective costs. We show that including cost functions in the training process is unnecessary, advocating for a simpler architecture and streamlined approach by decoupling the optimal control problem from the training process. Thus, our work shows that a simple neural operator architecture, such as DeepON…

Trump Considers Naming Next Fed Chair Early in Bid to Undermine Powell (Wall Street Journal)
https://www.wsj.com/economy/central-banking/trump-considers-naming-next-fed-chair-early-in-bid-to-undermine-powell-d3edcb9c?st=RsjPmE&reflink=article_copyURL_share
http://www.memeorandum.com/250625/p141#a250625p141

Uh, World Bank, solar?
World Bank Lifts Ban on Nuclear Power, Considers Upstream Gas | Financial Post
https://financialpost.com/pmn/business-pmn/world-bank-lifts-ban-on-nuclear-power-considers-upstream-gas

On one of Erd\H{o}s' Problems -- An Efficient Search for Benelux Pairs
Christian Hercher
https://arxiv.org/abs/2506.01099 https://

On one of Erdős' Problems -- An Efficient Search for Benelux Pairs
Erdős asked for positive integers $m

Modulator-free transmitter for quantum key distribution in metropolitan area networks
Roman Shakhovoy, Evgeniy Dedkov, Igor Kudryashov
https://arxiv.org/abs/2507.00625

Modulator-free transmitter for quantum key distribution in metropolitan area networks
A positive economic effect from the implementation of quantum key distribution (QKD) technology can be achieved only with significant scaling, which involves the deployment of branched metropolitan area networks. The creation of QKD systems suitable for such networks is an important task for the coming years. This paper considers a method for preparing quantum states using pulsed optical injection, which can be used as a basis for a compact modulator-free transmitter ideally suited for QKD at t…

Analyzing Contact Patterns in Public Transportation Systems for Opportunistic Communication Services
Eduardo R. Manika, Emilio C. G. Wille, Joilson Alves Jr
https://arxiv.org/abs/2506.02217

Analyzing Contact Patterns in Public Transportation Systems for Opportunistic Communication Services
Vehicle mobility has a significant impact on wireless communication between vehicles (buses) in Public Transportation Systems (PTS). Nevertheless, the transportation literature does not provide satisfactory models for bus movements because they are influenced by a variety of factors (itineraries, timetables, etc.). Custom-made mobility models that take these issues into account require a great deal of effort and may render simulations unfeasible. This article considers a tool (EMMS) that automa…

Enhanced Influence-aware Group Recommendation for Online Media Propagation
Chengkun He, Xiangmin Zhou, Chen Wang, Longbing Cao, Jie Shao, Xiaodong Li, Guang Xu, Carrie Jinqiu Hu, Zahir Tari
https://arxiv.org/abs/2507.01616

Enhanced Influence-aware Group Recommendation for Online Media Propagation
Group recommendation over social media streams has attracted significant attention due to its wide applications in domains such as e-commerce, entertainment, and online news broadcasting. By leveraging social connections and group behaviours, group recommendation (GR) aims to provide more accurate and engaging content to a set of users rather than individuals. Recently, influence-aware GR has emerged as a promising direction, as it considers the impact of social influence on group decision-maki…

This https://arxiv.org/abs/2412.20697 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

An inverse obstacle scattering problem with passive data in the time domain
This work considers a time domain inverse acoustic obstacle scattering problem due to passive data. Motivated by the Helmholtz-Kirchhoff identity in the frequency domain, we propose to relate the time domain measurement data in passive imaging to an approximate data set given by the subtraction of two scattered wave fields. We propose a time domain linear sampling method for the approximate data set and show how to tackle the measurement data in passive imaging. An imaging functional is built b…

Meta-heuristic design of a light-weight homologous backup structure of the primary reflector for the Large Submillimeter Telescope
Chihiro Imamura, Yoichi Tamura, Hiroaki Kawamura, Toshiaki Kimura, Akio Taniguchi, Mikio Kurita
#toXiv_bot_toot

The United States is moving B-2 bombers to the Pacific island of Guam,
as Donald Trump weighs whether the United States should take part in Israel’s strikes against Iran.
It was unclear whether the bomber deployment is tied to Middle East tensions.
The B-2 can be equipped to carry America’s 30,000lb GBU-57 Massive Ordnance Penetrator,
designed to destroy targets deep underground.
That is the weapon that experts say could be used to strike Iran’s nuclear program, i…

The justification that Trump used to claim (illegally) federalize the California National Guard and deploy the marines is from 10 U.S. Code § 252:
> Whenever the President considers that unlawful obstructions, combinations, or assemblages, or rebellion against the authority of the United States, make it impracticable to enforce the laws of the United States in any State by the ordinary course of judicial proceedings, he may call into Federal service such of the militia of any State, and use such of the armed forces, as he considers necessary to enforce those laws or to suppress the rebellion.
Specifically he's called out the "make it impracticable to enforce the laws of the United States."
Trump cannot legally hold office because of his participation in an insurrection. Trump should have been impeached and removed on day 1 of his first administration based on the Emoluments clause. Trump colluded with Russia to manipulate the election, so even his swearing in was a failure of the US government to "enforce the laws of the United States." The supreme court justices he appointed explictly undermined and continue to "make it impracticable to enforce the laws of the United States," as with all of his appointees. The troops he has federalized remain deployed, even after being declared illegal.
When, then, do we call the entire time since January 20th, 2017 to now an insurrection and his government an illegal assembly? Who will order them to "disperse?"
#NoKingsDay

A Quantized Order Estimator
Lida Jing
https://arxiv.org/abs/2506.00984 https://arxiv.org/pdf/2506.00984

A Quantized Order Estimator
This paper considers the order estimation problem of stochastic autoregressive exogenous input (ARX) systems by using quantized data. Based on the least squares algorithm and inspired by the control systems information criterion (CIC), a new kind of criterion aimed at addressing the inaccuracy of quantized data is proposed for ARX systems with quantized data. When the upper bounds of the system orders are known and the persistent excitation condition is satisfied, the system order estimates are…

Search for decays of the Higgs boson into scalar particles decaying into four or six $b$-quarks using $pp$ collisions at $\sqrt{s}= 13\,\mathrm{TeV}$ with the ATLAS detector
ATLAS Collaboration
https://arxiv.org/abs/2507.01165

Search for decays of the Higgs boson into scalar particles decaying into four or six $b$-quarks using $pp$ collisions at $\sqrt{s}= 13\,\mathrm{TeV}$ with the ATLAS detector
A search for exotic decays of the Higgs boson $H$ into new scalar or pseudoscalar particles that subsequently decay into $b$-quarks is presented. The search considers $ZH$ production with several decay scenarios for the Higgs boson: first to a pair of identical scalars, $H\rightarrow 2a \rightarrow 4b$, second to a pair of scalars with different masses ($m_{a1}

🔊 #NowPlaying on #BBCRadio3:
#TheEssay
- Highland Tails
Kenneth Steven considers the introduction of wild animals back into the Highlands of Scotland and the impact on rural life, reflecting in poetry at the end of each essay.
Relisten now 👇
https://www.bbc.co.uk/programmes/m001rr6g

Sparse Gaussian Processes: Structured Approximations and Power-EP Revisited
Thang D. Bui, Michalis K. Titsias
https://arxiv.org/abs/2507.02377 https://

Sparse Gaussian Processes: Structured Approximations and Power-EP Revisited
Inducing-point-based sparse variational Gaussian processes have become the standard workhorse for scaling up GP models. Recent advances show that these methods can be improved by introducing a diagonal scaling matrix to the conditional posterior density given the inducing points. This paper first considers an extension that employs a block-diagonal structure for the scaling matrix, provably tightening the variational lower bound. We then revisit the unifying framework of sparse GPs based on Pow…

Not All Water Consumption Is Equal: A Water Stress Weighted Metric for Sustainable Computing
Yanran Wu, Inez Hua, Yi Ding
https://arxiv.org/abs/2506.22773 …

Not All Water Consumption Is Equal: A Water Stress Weighted Metric for Sustainable Computing
Water consumption is an increasingly critical dimension of computing sustainability, especially as AI workloads rapidly scale. However, current water impact assessment often overlooks where and when water stress is more severe. To fill in this gap, we present SCARF, the first general framework that evaluates water impact of computing by factoring in both spatial and temporal variations in water stress. SCARF calculates an Adjusted Water Impact (AWI) metric that considers both consumption volume…

Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory
Amritendu Dhar, Apratim Chakraborty, Vijay Natarajan
https://arxiv.org/abs/2507.00725

Analyzing Time-Varying Scalar Fields using Piecewise-Linear Morse-Cerf Theory
Morse-Cerf theory considers a one-parameter family of smooth functions defined on a manifold and studies the evolution of their critical points with the parameter. This paper presents an adaptation of Morse-Cerf theory to a family of piecewise-linear (PL) functions. The vertex diagram and Cerf diagram are introduced as representations of the evolution of critical points of the PL function. The characterization of a crossing in the vertex diagram based on the homology of the lower links of verti…

Optimising task allocation to balance business goals and worker well-being for financial service workforces
Chris Duckworth, Zlatko Zlatev, James Sciberras, Peter Hallett, Enrico Gerding
https://arxiv.org/abs/2507.01968

Optimising task allocation to balance business goals and worker well-being for financial service workforces
Purpose: Financial service companies manage huge volumes of data which requires timely error identification and resolution. The associated tasks to resolve these errors frequently put financial analyst workforces under significant pressure leading to resourcing challenges and increased business risk. To address this challenge, we introduce a formal task allocation model which considers both business orientated goals and analyst well-being. Methodology: We use a Genetic Algorithm (GA) to optim…

Track-before-detect in RIS-aided Integrated Sensing and Communication
Georgios Mylonopoulos, Luca Venturino, Emanuele Grossi, Stefano Buzzi, Ciro D'Elia
https://arxiv.org/abs/2507.02352

Track-before-detect in RIS-aided Integrated Sensing and Communication
This study considers a base station equipped with sensing and communication capabilities, which serves a ground user and scans a portion of the sky via a passive reconfigurable intelligent surface. To achieve more favorable system tradeoffs, we utilize a multi-frame radar detector, comprising a detector, a plot-extractor, and a track-before-detect processor. The main idea proposed here is that user spectral efficiency can be enhanced by increasing the number of scans jointly processed by the mu…

Good time for Xi to create a crisis around Taiwan.
https://apnews.com/article/taiwan-china-planes-center-line-british-ship-b1618804e7a4bc66c411cb3cb171480a

China sends scores of planes across central line in Taiwan Strait
China has sent 74 warplanes toward Taiwan between late Thursday and early Friday, 61 of which crossed the central line in the Taiwan Strait unofficially dividing the sides. China considers Taiwan its own territory and uses such deployments to advertise its threat to encircle and possibly invade the self-governing island. It wasn't clear why so many planes were scrambled between late Thursday and early Friday, as tabulated by Taiwan's Defense Ministry. The planes were sent in two separate tranch…

This https://arxiv.org/abs/2505.04316 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

On local fields invariant under the action of topological defects
In the context of rational conformal field theories (RCFT) we look into the problem of constructing and classifying pairs consisting of a local operator and a topological defect which commutes or anticommutes with it. We discuss the bulk and boundary versions of the problem. In the latter one considers a conformal boundary condition, a boundary operator on it and a junction with a topological defect. In the case of the charge conjugation modular invariant commuting configurations in each proble…

This https://arxiv.org/abs/2204.07330 has been replaced.
link: https://scholar.google.com/scholar?q=a

Differentially Private Distributed Mismatch Tracking Algorithm for Constraint-Coupled Resource Allocation Problems
This paper considers privacy-concerned distributed constraint-coupled resource allocation problems over an undirected network, where each agent holds a private cost function and obtains the solution via only local communication. With privacy concerns, we mask the exchanged information with independent Laplace noise against a potential attacker with potential access to all network communications. We propose a differentially private distributed mismatch tracking algorithm (diff-DMAC) to achieve c…

This week’s #news summary:
- Boris Johnson announces the birth of his ninth child.
- The government considers compulsory chemical castration.
#ukpol

Probabilistic Proton Treatment Planning: a novel approach for optimizing underdosage and overdosage probabilities of target and organ structures
Jelte R. de Jong, Sebastiaan Breedveld, Steven J. M. Habraken, Mischa S. Hoogeman, Danny Lathouwers, Zolt\'an Perk\'o
https://arxiv.org/abs/2507.01763

Probabilistic Proton Treatment Planning: a novel approach for optimizing underdosage and overdosage probabilities of target and organ structures
Treatment planning uncertainties are typically managed using margin-based or robust optimization. Margin-based methods expand the clinical target volume (CTV) to a planning target volume, generally unsuited for proton therapy. Robust optimization considers worst-case scenarios, but its quality depends on the uncertainty scenario set: excluding extremes reduces robustness, while too many make plans overly conservative. Probabilistic optimization overcomes these limits by modeling a continuous sc…

This https://arxiv.org/abs/2505.07501 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGT_…

The Complexity of Pure Strategy Relevant Equilibria in Concurrent Games
We study rational synthesis problems for concurrent games with $ω$-regular objectives. Our model of rationality considers only pure strategy Nash equilibria that satisfy either a social welfare or Pareto optimality condition with respect to an $ω$-regular objective for each agent. This extends earlier work on equilibria in concurrent games, without consideration about their quality. Our results show that the existence of Nash equilibria satisfying social welfare conditions can be computed as …

Multi-User Generative Semantic Communication with Intent-Aware Semantic-Splitting Multiple Access
Jiayi Lu, Wanting Yang, Zehui Xiong, Rahim Tafazolli, Tony Q. S. Quek, M\'erouane Debbah, Dong In Kim
https://arxiv.org/abs/2507.01333

Multi-User Generative Semantic Communication with Intent-Aware Semantic-Splitting Multiple Access
With the booming development of generative artificial intelligence (GAI), semantic communication (SemCom) has emerged as a new paradigm for reliable and efficient communication. This paper considers a multi-user downlink SemCom system, using vehicular networks as the representative scenario for multi-user content dissemination. To address diverse yet overlapping user demands, we propose a multi-user Generative SemCom-enhanced intent-aware semantic-splitting multiple access (SS-MGSC) framework. …

Controller Design for Bilinear Neural Feedback Loops
Dhruv Shah, Jorge Cort\'es
https://arxiv.org/abs/2505.24106 https://arxiv.or…

Controller Design for Bilinear Neural Feedback Loops
This paper considers a class of bilinear systems with a neural network in the loop. These arise naturally when employing machine learning techniques to approximate general, non-affine in the input, control systems. We propose a controller design framework that combines linear fractional representations and tools from linear parameter varying control to guarantee local exponential stability of a desired equilibrium. The controller is obtained from the solution of linear matrix inequalities, whic…

Which part of this does not exactly hold for Katz and his involvement in bombing hospitals in Gaza?
Certainly that in the civilised world due process is part of life.
Context:

The justification that Trump used to claim (illegally) federalize the California National Guard and deploy the marines is from 10 U.S. Code § 252:
> Whenever the President considers that unlawful obstructions, combinations, or assemblages, or rebellion against the authority of the United States, make it impracticable to enforce the laws of the United States in any State by the ordinary course of judicial proceedings, he may call into Federal service such of the militia of any State, and use such of the armed forces, as he considers necessary to enforce those laws or to suppress the rebellion.
Specifically he's called out the "make it impracticable to enforce the laws of the United States."
Trump cannot legally hold office because of his participation in an insurrection. Trump should have been impeached and removed on day 1 of his first administration based on the Emoluments clause. Trump colluded with Russia to manipulate the election, so even his swearing in was a failure of the US government to "enforce the laws of the United States." The supreme court justices he appointed explictly undermined and continue to "make it impracticable to enforce the laws of the United States," as with all of his appointees. The troops he has federalized remain deployed, even after being declared illegal.
When, then, do we call the entire time since January 20th, 2017 to now an insurrection and his government an illegal assembly? Who will order them to "disperse?"
#NoKingsDay

This https://arxiv.org/abs/2311.06891 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Design-based Estimation Theory for Complex Experiments
This paper considers the estimation of treatment effects in randomized experiments with complex experimental designs, including cases with interference between units. We develop a design-based estimation theory for arbitrary experimental designs. Our theory facilitates the analysis of many design-estimator pairs that researchers commonly employ in practice and provide procedures to consistently estimate asymptotic variance bounds. We propose new classes of estimators with favorable asymptotic p…

Compositions of Variant Experts for Integrating Short-Term and Long-Term Preferences
Jaime Hieu Do, Trung-Hoang Le, Hady W. Lauw
https://arxiv.org/abs/2506.23170

Compositions of Variant Experts for Integrating Short-Term and Long-Term Preferences
In the online digital realm, recommendation systems are ubiquitous and play a crucial role in enhancing user experience. These systems leverage user preferences to provide personalized recommendations, thereby helping users navigate through the paradox of choice. This work focuses on personalized sequential recommendation, where the system considers not only a user's immediate, evolving session context, but also their cumulative historical behavior to provide highly relevant and timely recommen…

Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe
Jaturaporn Wattanakumpolkij, Patinya Ma-ardlerd, Natthason Autthisin, Pornpatara Chuvala, Nutthaphat Lunrasri, Chakrit Pongkitivanichkul, Daris Samart
https://arxiv.org/abs/2506.16139

Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe
This work considers the dynamics of the gauge vector and inflaton (dilaton) fields inspired by Kaluza-Klein theory in an inflationary universe with Bianchi type-I spacetime. The inverse power-law potential of the inflaton field is used to study dynamical system analysis. As a result, all fixed points in the autonomous system are non-hyperbolic fixed points, and one cannot determine their stability. Therefore, a center manifold theory is required to analyze the stability of the dynamical system …

HighRateMOS: Sampling-Rate Aware Modeling for Speech Quality Assessment
Wenze Ren, Yi-Cheng Lin, Wen-Chin Huang, Ryandhimas E. Zezario, Szu-Wei Fu, Sung-Feng Huang, Erica Cooper, Haibin Wu, Hung-Yu Wei, Hsin-Min Wang, Hung-yi Lee, Yu Tsao
https://arxiv.org/abs/2506.21951

HighRateMOS: Sampling-Rate Aware Modeling for Speech Quality Assessment
Modern speech quality prediction models are trained on audio data resampled to a specific sampling rate. When faced with higher-rate audio at test time, these models can produce biased scores. We introduce HighRateMOS, the first non-intrusive mean opinion score (MOS) model that explicitly considers sampling rate. HighRateMOS ensembles three model variants that exploit the following information: (i) a learnable embedding of speech sampling rate, (ii) Wav2vec 2.0 self-supervised embeddings, (iii)…

On scaling factor for $^{28}$Si $^{12}$C charge-changing cross sections at 90-1296 MeV/nucleon: Toward finding energy-dependent scaling factor for other elements
Z. Hasan, M. Imran, A. A. Usmani, Z. A. Khan
https://arxiv.org/abs/2506.22859

On scaling factor for $^{28}$Si + $^{12}$C charge-changing cross sections at 90-1296 MeV/nucleon: Toward finding energy-dependent scaling factor for other elements
Based on the detailed study of the scaling factor for $^{28}$\rm Si + $^{12}$\rm C charge-changing cross sections (CCCSs) at 90-1296 MeV/nucleon, we introduced a new approach to find the systematic energy dependence of the scaling factor that can be used to predict the CCCSs for other elements. The analysis considers the study of charge-changing cross sections for $^{7,9-12,14}$\rm Be, $^{10-15,17}$\rm B, $^{12-19}$\rm C, $^{14,15,,17-22}$\rm N, $^{16,18-24}$\rm O, $^{18-21,23-26}$\rm F, and $^…

Implications of Yukawa interactions in scalar sector
Muhammad Saad, Tajdar Mufti
https://arxiv.org/abs/2506.23390 https://arxiv.org/p…

Implications of Yukawa interactions in scalar sector
In this work, a field theory model containing a real scalar singlet and an SU(2) symmetry preserving complex doublet is studied using the method of lattice simulations. The model considers all quartic vertices along with the Yukawa vertex between a real scalar singlet and an SU(2) symmetry preserving complex doublet field. Machine learning is used to extract representative functions of the field propagators, lattice regulator, and the Yukawa vertex. In the considered renormalization scheme the …

CIRO7.2: A Material Network with Circularity of -7.2 and Reinforcement-Learning-Controlled Robotic Disassembler
Federico Zocco, Monica Malvezzi
https://arxiv.org/abs/2506.11748

CIRO7.2: A Material Network with Circularity of -7.2 and Reinforcement-Learning-Controlled Robotic Disassembler
The competition over natural reserves of minerals is expected to increase in part because of the linear-economy paradigm based on take-make-dispose. Simultaneously, the linear economy considers end-of-use products as waste rather than as a resource, which results in large volumes of waste whose management remains an unsolved problem. Since a transition to a circular economy can mitigate these open issues, in this paper we begin by enhancing the notion of circularity based on compartmental dynam…

Robust Noise Attenuation via Adaptive Pooling of Transformer Outputs
Greyson Brothers
https://arxiv.org/abs/2506.09215 https://arxiv.…

Robust Noise Attenuation via Adaptive Pooling of Transformer Outputs
We investigate the design of pooling methods used to summarize the outputs of transformer embedding models, primarily motivated by reinforcement learning and vision applications. This work considers problems where a subset of the input vectors contains requisite information for a downstream task (signal) while the rest are distractors (noise). By framing pooling as vector quantization with the goal of minimizing signal loss, we demonstrate that the standard methods used to aggregate transformer…

Search for the nonresonant and resonant production of a Higgs boson in association with an additional scalar boson in the $\gamma\gamma\tau\tau$ final state in proton-proton collisions at $\sqrt{s}$ = 13 TeV
CMS Collaboration
https://arxiv.org/abs/2506.23012

Search for the nonresonant and resonant production of a Higgs boson in association with an additional scalar boson in the $γγττ$ final state in proton-proton collisions at $\sqrt{s}$ = 13 TeV
The results of a search for the production of two scalar bosons in final states with two photons and two tau leptons are presented. The search considers both nonresonant production of a Higgs boson pair, HH, and resonant production via a new boson X which decays either to HH or to H and a new scalar Y. The analysis uses up to 138 fb$^{-1}$ of proton-proton collision data, recorded between 2016 and 2018 by the CMS experiment at the LHC at a center-of-mass energy of 13 TeV. No evidence for signal…

Scaling limits for sample autocovariance operators of Hilbert space-valued linear processes
Marie-Christine D\"uker, Pavlos Zoubouloglou
https://arxiv.org/abs/2506.17168

Scaling limits for sample autocovariance operators of Hilbert space-valued linear processes
This article considers linear processes with values in a separable Hilbert space exhibiting long-range dependence. The scaling limits for the sample autocovariance operators at different time lags are investigated in the topology of their respective Hilbert spaces. Distinguishing two different regimes of long-range dependence, the limiting object is either a Hilbert space-valued Gaussian or a Hilbert space-valued non-Gaussian random variable. The latter can be represented as a unitary transform…

Effect of Berry connection on attosecond transient absorption spectroscopy in gapped graphene
Jiayu Yan, Hongxuan Er, Wei Dang, Jiahuan Ren, Chao Chen, Dianxiang Ren, Fulong Dong
https://arxiv.org/abs/2506.19286

Effect of Berry connection on attosecond transient absorption spectroscopy in gapped graphene
We investigated the attosecond transient absorption spectroscopy (ATAS) in gapped graphene by numerically solving the four-band density-matrix equations. Our results reveal that, in contrast to graphene whose fishbone-shaped spectra primarily oscillates at twice the frequency of the pump laser, the ATAS of gapped graphene exhibits a first-order harmonic component induced by the Berry connection. To gain insight into this interesting results, we employ a simplified model that considers only the …

Robust Distribution Network Reconfiguration Using Mapping-based Column-and-Constraint Generation
Runjie Zhang, Kaiping Qu, Changhong Zhao, Wanjun Huang
https://arxiv.org/abs/2505.24677

Robust Distribution Network Reconfiguration Using Mapping-based Column-and-Constraint Generation
The integration of intermittent renewable energy sources into distribution networks introduces significant uncertainties and fluctuations, challenging their operational security, stability, and efficiency. This paper considers robust distribution network reconfiguration (RDNR) with renewable generator resizing, modeled as a two-stage robust optimization (RO) problem with decision-dependent uncertainty (DDU). Our model optimizes resizing decisions as the upper bounds of renewable generator outpu…

The Steklov Spectrum of Spherical Cylinders
Spencer Bullent
https://arxiv.org/abs/2506.20498 https://arxiv.org/pdf/2506.20498

The Steklov Spectrum of Spherical Cylinders
The Steklov problem on a compact Lipschitz domain is to find harmonic functions on the interior whose outward normal derivative on the boundary is some multiple (eigenvalue) of its trace on the boundary. These eigenvalues form the Steklov spectrum of the domain. This article considers the Steklov spectrum of spherical cylinders (Euclidean ball times interval). It is shown that the spectral counting function admits a two term asymptotic expansion. The coefficient of the second term consists of a…

This https://arxiv.org/abs/2503.14328 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Risk-Sensitive Model Predictive Control for Interaction-Aware Planning -- A Sequential Convexification Algorithm
This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable convex upper bounds to both the objective function, and to frequently used penalty terms for collision avoidance, allowing us to efficiently solve the generally nonconvex optimal control problem as a sequence of convex problems. Simulations of a robot navigatin…

Enhancing Vehicular Platooning with Wireless Federated Learning: A Resource-Aware Control Framework
Beining Wu, Jun Huang, Qiang Duan, Liang Dong, Zhipeng Cai
https://arxiv.org/abs/2507.00856

Enhancing Vehicular Platooning with Wireless Federated Learning: A Resource-Aware Control Framework
This paper aims to enhance the performance of Vehicular Platooning (VP) systems integrated with Wireless Federated Learning (WFL). In highly dynamic environments, vehicular platoons experience frequent communication changes and resource constraints, which significantly affect information exchange and learning model synchronization. To address these challenges, we first formulate WFL in VP as a joint optimization problem that simultaneously considers Age of Information (AoI) and Federated Learni…

This https://arxiv.org/abs/2505.20597 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

LSZ ghostbusters in the quadratic gravity stage
The present letter considers the quantization method developed in [1]-[9], which postulates that, in several situations, negative norm or ghost states can be avoided in order to give positive probabilities. These authors also postulate a candidate for a path integral for those theories, following pioneer works initiated by Dirac [10]} and Pauli \[11]. However, taking into account the non standard oscillator algebra inherent to this method, in order to be sure that unitarity is not violated, one…

General solutions to the equations of acoustics in inhomogeneous media and gas dynamics
O. V. Kaptsov
https://arxiv.org/abs/2506.09547 https://

General solutions to the equations of acoustics in inhomogeneous media and gas dynamics
This paper considers one-dimensional equations of acoustics equations of inhomogeneous media and the system of gas dynamics equations with constant entropy. Using the Riemann approach, the gas dynamics equations are reduced to a second-order linear hyperbolic equation with variable coefficients. Solutions to this equation are constructed using Euler transformations. This allows us to find new exact solutions of the equations of acoustics and gas dynamics, depending on two arbitrary functions.

Comment on "Storage properties of a quantum perceptron"
Mauro Pastore
https://arxiv.org/abs/2506.18431 https://arxiv.org/pd…

Comment on "Storage properties of a quantum perceptron"
The recent paper "Storage properties of a quantum perceptron" [Phys. Rev. E 110, 024127] considers a quadratic constraint satisfaction problem, motivated by a quantum version of the perceptron. In particular, it derives its critical capacity, the density of constraints at which there is a satisfiability transition. The same problem was considered before in another context (classification of geometrically structured inputs, see [Phys. Rev. Lett. 125, 120601; Phys. Rev. E 102, 032119; J. Stat. Me…

Input-Power-to-State Stability of Time-Varying Systems
Hernan Haimovich, Shenyu Liu, Antonio Russo, Jose L. Mancilla-Aguilar
https://arxiv.org/abs/2505.24805

Input-Power-to-State Stability of Time-Varying Systems
When the state of a system may remain bounded even if both the input amplitude and energy are unbounded, then the state bounds given by the standard input-to-state stability (ISS) and integral-ISS (iISS) properties may provide no useful information. This paper considers an ISS-related concept suitable in such a case: input-power-to-state stability (IPSS). Necessary and sufficient conditions for IPSS are developed for time-varying systems under very mild assumptions on the dynamics. More precise…

Merton model and Poisson process with Log Normal intensity function
Masato Hisakado, Shintaro Mori
https://arxiv.org/abs/2505.13822 https://

Merton model and Poisson process with Log Normal intensity function
This study considers the Merton model with temporal correlation. We show the Merton model becomes Poisson process with the log-normal distributed intensity function in the limit. We discuss the relation between this model and Hawkes process. In this model we confirm the super-normal transition when the temporal correlation is power case. The phase transition is same as seen before the limit. We apply this model to the default portfolios and find that the power decay model provides better genera…

Coker: We can’t have economic prosperity or national security without cybersecurity https://therecord.media/coker-interview-no-economic-security-without-cybersecurity

Pairwise similarity method for majority domination problem
N. I. Shushko, D. V. Lemtyuzhnikova
https://arxiv.org/abs/2506.08886 https://

Pairwise similarity method for majority domination problem
The paper considers the problem of finding the number of dominant voters in two-level voting procedures. At the first stage, voting is conducted among local groups of voters, and at the second stage, the results are aggregated to form a final decision. The goal is to determine the minimum proportion of voters supporting a proposal for it to be accepted. The paper uses the method of pairwise comparisons to analyze the structure of the problem and develop heuristic algorithms with guaranteed accu…

Affine invariant interacting Langevin dynamics in Markov chain importance sampling for rare event estimation
Jason Beh, J\'er\^ome Morio, Florian Simatos, Simon Weissmann
https://arxiv.org/abs/2506.20185

Affine invariant interacting Langevin dynamics in Markov chain importance sampling for rare event estimation
This work considers the framework of Markov chain importance sampling~(MCIS), in which one employs a Markov chain Monte Carlo~(MCMC) scheme to sample particles approaching the optimal distribution for importance sampling, prior to estimating the quantity of interest through importance sampling. In rare event estimation, the optimal distribution admits a non-differentiable log-density, thus gradient-based MCMC can only target a smooth approximation of the optimal density. We propose a new gradie…

Trump administration considers adding 36 countries to travel ban list (Adam Taylor/Washington Post)
https://www.washingtonpost.com/national-security/2025/06/14/trump-travel-ban-expansion/
http://www.memeorandum.com/250614/p68#a250614p68

Triangular and tetrahedral number differences of sumset sizes in additive number theory
Melvyn B. Nathanson
https://arxiv.org/abs/2506.15015 https://

Triangular and tetrahedral number differences of sumset sizes in additive number theory
The study of sums of finite sets of integers has mostly concentrated on sets with very small sumsets (Freiman's theorem and related work) and on sets with very large sumsets (Sidon sets and $B_h$-sets). This paper considers the full range of sumset sizes of finite sets of integers and an unexpected pattern (related to the triangular and tetrahedral numbers) that appears in the distribution of popular sumset sizes of sets of size 4.

Algorithmic methods of finite discrete structures. Topological graph drawing (part III)
Sergey Kurapov, Maxim Davidovsky
https://arxiv.org/abs/2506.10936 h…

Algorithmic methods of finite discrete structures. Topological graph drawing (part III)
The manuscript considers mathematical models for creating a topological drawing of a graph based on the methods of G. Ringel's vertex rotation theory. An algorithm is presented for generating a topological drawing of a flat part of a graph based on the selection of a basis for the cycle subspace C(G) using the Monte Carlo method. A steepest descent method for constructing a topological drawing of a flat subgraph is described in the manuscript. The topological drawing of a graph is constructed u…

Sequence Modeling for N-Agent Ad Hoc Teamwork
Caroline Wang, Di Yang Shi, Elad Liebman, Ishan Durugkar, Arrasy Rahman, Peter Stone
https://arxiv.org/abs/2506.05527

Sequence Modeling for N-Agent Ad Hoc Teamwork
N-agent ad hoc teamwork (NAHT) is a newly introduced challenge in multi-agent reinforcement learning, where controlled subteams of varying sizes must dynamically collaborate with varying numbers and types of unknown teammates without pre-coordination. The existing learning algorithm (POAM) considers only independent learning for its flexibility in dealing with a changing number of agents. However, independent learning fails to fully capture the inter-agent dynamics essential for effective colla…

Life imitating art… or something.
Finishing my rewatch of House of Cards. President Hale has continued down the fascist path of her husband and considers bombing Middle East “terrorists” that may have a bomb in order to distract from election rigging and other scandals at home.
“We don’t want to appear reckless” says her Defense Secretary…
#usa #tv #netflix #israel #iran #houseofcards

Adding machines and open dynamical systems
Filippo Ciavattini, T. H. Steele
https://arxiv.org/abs/2506.14032 https://arxiv.org/pdf/25…

Adding machines and open dynamical systems
Let $f:\mathcal{M}\rightarrow\mathcal{M}$ be a continuous map defined on a compact metric space $\mathcal{M}$. An open dynamical system introduces disjoint open balls centered at points in $\mathcal{M}$, and considers the trajectories of points from $\mathcal{M}$, and the balls that they visit first. As the balls in question are allowed to shrink, a point is considered indecisive if its trajectory changes infinitely many times the ball first visited. Here, we let $\mathcal{M}$ be an adding mach…

Learning-Based Robust Fixed-Time Terminal Sliding Mode Control
Chaimae El Mortajinea, Moussa Labbadib, Adnane Saoudc, Mostafa Bouzia
https://arxiv.org/abs/2505.22827

Learning-Based Robust Fixed-Time Terminal Sliding Mode Control
In this paper, we develop and analyze an integral fixed-time sliding mode control method for a scenario in which the system model is only partially known, utilizing Gaussian processes. We present two theorems on fixed-time convergence. The first theorem addresses the fully known system model, while the second considers situations where the system's drift is approximated utilizing Gaussian processes (GP) for approximating unknown dynamics. Both theorems establish the global fixed-time stability …

Hybrid Beamforming Optimization for MIMO ISAC Exploiting Prior Information: A PCRB-based Approach
Yizhuo Wang, Shuowen Zhang
https://arxiv.org/abs/2506.07869

Hybrid Beamforming Optimization for MIMO ISAC Exploiting Prior Information: A PCRB-based Approach
This paper considers a multiple-input multiple-output (MIMO) integrated sensing and communication (ISAC) system, where a multi-antenna base station (BS) with transceiver hybrid analog-digital arrays transmits dual-functional signals to communicate with a multi-antenna user and simultaneously sense the unknown and random location information of a target based on the reflected echo signals and the prior distribution information on the target's location. Under transceiver hybrid arrays, we charact…

Estimating quantile treatments without strict overlap
Marco Avella-Medina, Richard Davis, Gennady Samorodnitsky
https://arxiv.org/abs/2506.18215 https://…

Estimating quantile treatments without strict overlap
We consider the problem of estimating quantile treatment effects without assuming strict overlap , i.e., we do not assume that the propensity score is bounded away from zero. More specifically, we consider an inverse probability weighting (IPW) approach for estimating quantiles in the potential outcomes framework and pay special attention to scenarios where the propensity scores can tend to zero as a regularly varying function. Our approach effectively considers a heavy-tailed objective functio…

A survey of The Prouhet-Tarry-Escott Problem and its Generalizations
Chen Shuwen
https://arxiv.org/abs/2506.11429 https://arxiv.org/p…

A survey of The Prouhet-Tarry-Escott Problem and its Generalizations
This paper explores the Prouhet-Tarry-Escott problem (PTE), the Generalized PTE problem (GPTE), and the Fermat form of Generalized PTE problem (FPTE). The GPTE problem extends the PTE problem by allowing different sets of exponents, while the FPTE problem considers cases where the number of integers in the two sets differs by one. Multigrade chains are also investigated, involving multiple sets of integers satisfying the GPTE system. The study of PTE and GPTE problems is further extended from i…

Distributed Activity Detection for Cell-Free Hybrid Near-Far Field Communications
Jingreng Lei, Yang Li, Zeyi Ren, Qingfeng Lin, Ziyue Wang, Ya-Feng Liu, Yik-Chung Wu
https://arxiv.org/abs/2506.14254

Distributed Activity Detection for Cell-Free Hybrid Near-Far Field Communications
A great amount of endeavor has recently been devoted to activity detection for massive machine-type communications in cell-free massive MIMO. However, in practice, as the number of antennas at the access points (APs) increases, the Rayleigh distance that separates the near-field and far-field regions also expands, rendering the conventional assumption of far-field propagation alone impractical. To address this challenge, this paper considers a hybrid near-far field activity detection in cell-fr…

Search for nonresonant new physics signals in high-mass dilepton events produced in association with b-tagged jets in proton-proton collisions at $\sqrt{s}$ = 13 TeV
CMS Collaboration
https://arxiv.org/abs/2506.13565

Search for nonresonant new physics signals in high-mass dilepton events produced in association with b-tagged jets in proton-proton collisions at $\sqrt{s}$ = 13 TeV
A search for nonresonant new physics phenomena in high-mass dilepton events produced in association with b-tagged jets is performed using proton-proton collision data collected in 2016$-$2018 by the CMS experiment at the CERN LHC, at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 138 fb$^{-1}$. The analysis considers two effective field theory models with dimension-six operators; involving four-fermion contact interactions between two leptons ($\ell\ell$, electro…

Stratified equatorial flows in cylindrical coordinates with surface tension
Cristina Gheorghe, Andrei Stan
https://arxiv.org/abs/2506.08016 https://…

Stratified equatorial flows in cylindrical coordinates with surface tension
This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal direction. The water density varies with depth and the waves are propagating under the force of gravity, over a flat bed and with a free surface, on which acts a force of surface tension. Our solution pertains to large scale equatorial dynamics of a fluid with free surface expressed in cylindrical coordinates. We also prove a regularity result for the free surface.

A New Approach for the Continuous Time Kyle-Back Strategic Insider Equilibrium Problem
Bixing Qiao, Jianfeng Zhang
https://arxiv.org/abs/2506.12281 https:/…

A New Approach for the Continuous Time Kyle-Back Strategic Insider Equilibrium Problem
This paper considers a continuous time Kyle-Back model which is a game problem between an insider and a market marker. The existing literature typically focuses on the existence of equilibrium by using the PDE approach, which requires certain Markovian structure and the equilibrium is in the bridge form. We shall provide a new approach which is used widely for stochastic controls and stochastic differential games. We characterize all equilibria through a coupled system of forward backward SDEs,…

Eigenvalue-Based Detection in MIMO Systems for Integrated Sensing and Communication
Alex Obando, Saman Atapattu, Prathapasinghe Dharmawansa, Akram Hourani, Kandeepan Sithamparanathan
https://arxiv.org/abs/2506.09439

Eigenvalue-Based Detection in MIMO Systems for Integrated Sensing and Communication
This paper considers a MIMO Integrated Sensing and Communication (ISAC) system, where a base station simultaneously serves a MIMO communication user and a remote MIMO sensing receiver, without channel state information (CSI) at the transmitter. Existing MIMO ISAC literature often prioritizes communication rate or detection probability, typically under constant false-alarm rate (CFAR) assumptions, without jointly analyzing detection reliability and communication constraints. To address this gap,…

Decentralized Optimization on Compact Submanifolds by Quantized Riemannian Gradient Tracking
Jun Chen, Lina Liu, Tianyi Zhu, Yong Liu, Guang Dai, Yunliang Jiang, Ivor W. Tsang
https://arxiv.org/abs/2506.07351

Decentralized Optimization on Compact Submanifolds by Quantized Riemannian Gradient Tracking
This paper considers the problem of decentralized optimization on compact submanifolds, where a finite sum of smooth (possibly non-convex) local functions is minimized by $n$ agents forming an undirected and connected graph. However, the efficiency of distributed optimization is often hindered by communication bottlenecks. To mitigate this, we propose the Quantized Riemannian Gradient Tracking (Q-RGT) algorithm, where agents update their local variables using quantized gradients. The introducti…