Tootfinder

Analyzing PDFs like Binaries: Adversarially Robust PDF Malware Analysis via Intermediate Representation and Language Model
Side Liu, Jiang Ming, Guodong Zhou, Xinyi Liu, Jianming Fu, Guojun Peng
https://arxiv.org/abs/2506.17162

Analyzing PDFs like Binaries: Adversarially Robust PDF Malware Analysis via Intermediate Representation and Language Model
Malicious PDF files have emerged as a persistent threat and become a popular attack vector in web-based attacks. While machine learning-based PDF malware classifiers have shown promise, these classifiers are often susceptible to adversarial attacks, undermining their reliability. To address this issue, recent studies have aimed to enhance the robustness of PDF classifiers. Despite these efforts, the feature engineering underlying these studies remains outdated. Consequently, even with the appli…

Representation theory of the reflection equation algebra III: Classification of irreducible representations
Stephen T. Moore
https://arxiv.org/abs/2506.16866

Representation theory of the reflection equation algebra III: Classification of irreducible representations
We continue our study of Hilbert space representations of the Reflection Equation Algebra, again focusing on the algebra constructed from the $R$-matrix associated to the $q$-deformation of $GL(N,\mathbb{C})$ for $0

Analyzing Character Representation in Media Content using Multimodal Foundation Model: Effectiveness and Trust
Evdoxia Taka, Debadyuti Bhattacharya, Joanne Garde-Hansen, Sanjay Sharma, Tanaya Guha
https://arxiv.org/abs/2506.14799

Analyzing Character Representation in Media Content using Multimodal Foundation Model: Effectiveness and Trust
Recent advances in AI has enabled automated analysis of complex media content at scale and generate actionable insights regarding character representation along such dimensions as gender and age. Past work focused on quantifying representation from audio/video/text using various ML models, but without having the audience in the loop. We ask, even if character distribution along demographic dimensions are available, how useful are they to the general public? Do they actually trust the numbers ge…

SEP-GCN: Leveraging Similar Edge Pairs with Temporal and Spatial Contexts for Location-Based Recommender Systems
Tan Loc Nguyen, Tin T. Tran
https://arxiv.org/abs/2506.16003

SEP-GCN: Leveraging Similar Edge Pairs with Temporal and Spatial Contexts for Location-Based Recommender Systems
Recommender systems play a crucial role in enabling personalized content delivery amidst the challenges of information overload and human mobility. Although conventional methods often rely on interaction matrices or graph-based retrieval, recent approaches have sought to exploit contextual signals such as time and location. However, most existing models focus on node-level representation or isolated edge attributes, underutilizing the relational structure between interactions. We propose SEP-GC…

This https://arxiv.org/abs/2405.15034 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCG_…

NeCGS: Neural Compression for 3D Geometry Sets
We present NeCGS, the first neural compression paradigm, which can compress a geometry set encompassing thousands of detailed and diverse 3D mesh models by up to 900 times with high accuracy and preservation of detailed geometric structures. Specifically, we first propose TSDF-Def, a new implicit representation that is capable of \textbf{accurately} representing irregular 3D mesh models with various structures into regular 4D tensors of \textbf{uniform} and \textbf{compact} size, where 3D surfa…

This https://arxiv.org/abs/2402.07141 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSC_…

Reading Rational Univariate Representations on lexicographic Groebner bases
In this contribution, we consider a zero-dimensional polynomial system in $n$ variables defined over a field $\mathbb{K}$. In the context of computing a Rational Univariate Representation (RUR) of its solutions, we address the problem of certifying a separating linear form and, once certified, calculating the RUR that comes from it, without any condition on the ideal else than being zero-dimensional. Our key result is that the RUR can be read (closed formula) from lexicographic Groebner bases o…

Proper Actions and Representation Theory
Toshiyuki Kobayashi
https://arxiv.org/abs/2506.15616 https://arxiv.org/pdf/2506.15616…

Proper Actions and Representation Theory
This exposition presents recent developments on proper actions, highlighting their connections to representation theory. It begins with geometric aspects, including criteria for the properness of homogeneous spaces in the setting of reductive groups. We then explore the interplay between the properness of group actions and the discrete decomposability of unitary representations realized on function spaces. Furthermore, two contrasting new approaches to quantifying proper actions are examine…

Transit for All: Mapping Equitable Bike2Subway Connection using Region Representation Learning
Min Namgung, JangHyeon Lee, Fangyi Ding, Yao-Yi Chiang
https://arxiv.org/abs/2506.15113

Transit for All: Mapping Equitable Bike2Subway Connection using Region Representation Learning
Ensuring equitable public transit access remains challenging, particularly in densely populated cities like New York City (NYC), where low-income and minority communities often face limited transit accessibility. Bike-sharing systems (BSS) can bridge these equity gaps by providing affordable first- and last-mile connections. However, strategically expanding BSS into underserved neighborhoods is difficult due to uncertain bike-sharing demand at newly planned ("cold-start") station locations and …

Beyond the Plane: A 3D Representation of Human Personal Space for Socially-Aware Robotics
Caio C. G. Ribeiro, Douglas G. Macharet
https://arxiv.org/abs/2506.13937

Beyond the Plane: A 3D Representation of Human Personal Space for Socially-Aware Robotics
The increasing presence of robots in human environments requires them to exhibit socially appropriate behavior, adhering to social norms. A critical aspect in this context is the concept of personal space, a psychological boundary around an individual that influences their comfort based on proximity. This concept extends to human-robot interaction, where robots must respect personal space to avoid causing discomfort. While much research has focused on modeling personal space in two dimensions, …

On nth Level Fractional Derivatives: An Equivalent Representation and Applications to Inverse Problem
Asim Ilyas, Salman A. Malik, Kamran Suhaib
https://arxiv.org/abs/2506.12614

On nth Level Fractional Derivatives: An Equivalent Representation and Applications to Inverse Problem
This work contributes to the theory of nth level fractional derivative, where $n$ is a positive integer. An equivalent representation of 2nd level fractional derivative in terms of Riemann-Liouville fractional derivative is presented. We generalized our result and provide representation of nth level fractional derivative. As an application, we solve an inverse problem defined for a diffusion equation involving 2nd level fractional derivative.

On the importance of representation (and how Google skews our view), nice film by @… (ht @… for the #peertube tip)
https://videos.elenarossini.com/w/t6F3Vznp2PxEanUNgBYRfQ

Hybrid Polynomial Zonotopes: A Set Representation for Reachability Analysis in Hybrid Nonaffine Systems
Peng Xie, Zhen Zhang, Amr Alanwar
https://arxiv.org/abs/2506.13567

Hybrid Polynomial Zonotopes: A Set Representation for Reachability Analysis in Hybrid Nonaffine Systems
Reachability analysis for hybrid nonaffine systems remains computationally challenging, as existing set representations--including constrained, polynomial, and hybrid zonotopes--either lose tightness under high-order nonaffine maps or suffer exponential blow-up after discrete jumps. This paper introduces Hybrid Polynomial Zonotope (HPZ), a novel set representation that combines the mode-dependent generator structure of hybrid zonotopes with the algebraic expressiveness of polynomial zonotopes. …

a bit of a blast from the past!
https://mastodon.online/@rfceditor/114700678397803497

Making deep neural networks work for medical audio: representation, compression and domain adaptation
Charles C Onu
https://arxiv.org/abs/2506.13970 https:…

Making deep neural networks work for medical audio: representation, compression and domain adaptation
This thesis addresses the technical challenges of applying machine learning to understand and interpret medical audio signals. The sounds of our lungs, heart, and voice convey vital information about our health. Yet, in contemporary medicine, these sounds are primarily analyzed through auditory interpretation by experts using devices like stethoscopes. Automated analysis offers the potential to standardize the processing of medical sounds, enable screening in low-resource settings where physici…

The cubic moment of $L$-functions for specified local component families
Yueke Hu, Ian Petrow, Matthew P. Young
https://arxiv.org/abs/2506.14741 https://…

The cubic moment of $L$-functions for specified local component families
We prove Lindelöf-on-average upper bounds on the cubic moment of central values of $L$-functions over certain families of ${\rm PGL}_2/\mathbb{Q}$ automorphic representations $π$ given by specifying the local representation $π_p$ of $π$ at finitely many primes. Such bounds were previously known in the case that $π_p$ belongs to the principal series or is a ramified quadratic twist of the Steinberg representation; here we handle the supercuspidal case. Crucially, we use new Petersson/Brugge…

Interpretable representation learning of quantum data enabled by probabilistic variational autoencoders
Paulin de Schoulepnikoff, Gorka Mu\~noz-Gil, Hendrik Poulsen Nautrup, Hans J. Briegel
https://arxiv.org/abs/2506.11982

Interpretable representation learning of quantum data enabled by probabilistic variational autoencoders
Interpretable machine learning is rapidly becoming a crucial tool for scientific discovery. Among existing approaches, variational autoencoders (VAEs) have shown promise in extracting the hidden physical features of some input data, with no supervision nor prior knowledge of the system at study. Yet, the ability of VAEs to create meaningful, interpretable representations relies on their accurate approximation of the underlying probability distribution of their input. When dealing with quantum d…

'In the local data that the audit examined from three [THREE] police forces, they identified clear evidence of “over-representation among suspects of Asian and Pakistani-heritage men”.
'However, the review also criticised the ongoing failure to collect ethnicity at a national level, with it not recorded for two-thirds of perpetrators, making it impossible “to provide any accurate assessment from the nationally collected data”.'
Not so conclusive then.

What is the Casey report on UK grooming gangs – and why did Labour U-turn?
The report addressed the UK’s institutional failure to protect children and teenage girls from sexual exploitation.

TraGe: A Generic Packet Representation for Traffic Classification Based on Header-Payload Differences
Chungang Lin, Yilong Jiang, Weiyao Zhang, Xuying Meng, Tianyu Zuo, Yujun Zhang
https://arxiv.org/abs/2506.14151

TraGe: A Generic Packet Representation for Traffic Classification Based on Header-Payload Differences
Traffic classification has a significant impact on maintaining the Quality of Service (QoS) of the network. Since traditional methods heavily rely on feature extraction and large scale labeled data, some recent pre-trained models manage to reduce the dependency by utilizing different pre-training tasks to train generic representations for network packets. However, existing pre-trained models typically adopt pre-training tasks developed for image or text data, which are not tailored to traffic d…

each totem on the pole is a symbolic representation of one family

Latent Representation Learning of Multi-scale Thermophysics: Application to Dynamics in Shocked Porous Energetic Material
Shahab Azarfar, Joseph B. Choi, Phong CH. Nguyen, Yen T. Nguyen, Pradeep Seshadri, H. S. Udaykumar, Stephen Baek
https://arxiv.org/abs/2506.12996

Latent Representation Learning of Multi-scale Thermophysics: Application to Dynamics in Shocked Porous Energetic Material
Coupling of physics across length and time scales plays an important role in the response of microstructured materials to external loads. In a multi-scale framework, unresolved (subgrid) meso-scale dynamics is upscaled to the homogenized (macro-scale) representation of the heterogeneous material through closure models. Deep learning models trained using meso-scale simulation data are now a popular route to assimilate such closure laws. However, meso-scale simulations are computationally taxing,…

This https://arxiv.org/abs/2506.04668 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCV_…

Feature-Based Lie Group Transformer for Real-World Applications
The main goal of representation learning is to acquire meaningful representations from real-world sensory inputs without supervision. Representation learning explains some aspects of human development. Various neural network (NN) models have been proposed that acquire empirically good representations. However, the formulation of a good representation has not been established. We recently proposed a method for categorizing changes between a pair of sensory inputs. A unique feature of this approa…

Path Integral Monte Carlo in the Angular Momentum Basis for a Chain of Planar Rotors
Est\^ev\~ao de Oliveira, Muhammad Shaeer Moeed, Pierre-Nicholas Roy
https://arxiv.org/abs/2506.14977

Path Integral Monte Carlo in the Angular Momentum Basis for a Chain of Planar Rotors
We introduce a Path Integral Monte Carlo (PIMC) approach that uses the angular momentum representation for the description of interacting rotor systems. Such a choice of representation allows the calculation of momentum properties without having to break the paths. The discrete nature of the momentum basis also allows the use of rejection-free Gibbs sampling techniques. To illustrate the method, we study the collective behavior of $N$ confined planar rotors with dipole-dipole interactions, a sy…

Torus knots in adjoint representation and Vogel's universality
Liudmila Bishler, Andrei Mironov
https://arxiv.org/abs/2506.06219 https://

Torus knots in adjoint representation and Vogel's universality
Vogel's universality gives a unified description of the adjoint sector of representation theory for simple Lie algebras in terms of three parameters $α,β,γ$, which are homogeneous coordinates of Vogel's plane. It is associated with representation theory within the framework of Chern-Simons theory only, and gives rise to universal knot invariants. We extend the list of these latter further, and explain how to deal with the adjoint invariants for the torus knots $T[m,n]$ considering the case o…

The Compositional Architecture of Regret in Large Language Models
Xiangxiang Cui, Shu Yang, Tianjin Huang, Wanyu Lin, Lijie Hu, Di Wang
https://arxiv.org/abs/2506.15617

The Compositional Architecture of Regret in Large Language Models
Regret in Large Language Models refers to their explicit regret expression when presented with evidence contradicting their previously generated misinformation. Studying the regret mechanism is crucial for enhancing model reliability and helps in revealing how cognition is coded in neural networks. To understand this mechanism, we need to first identify regret expressions in model outputs, then analyze their internal representation. This analysis requires examining the model's hidden states, wh…

On the Conjecture of the Representation Number of Bipartite Graphs
Khyodeno Mozhui, K. V. Krishna
https://arxiv.org/abs/2506.01057 https://

On the Conjecture of the Representation Number of Bipartite Graphs
While the problem of determining the representation number of an arbitrary word-representable graph is NP-hard, this problem is open even for bipartite graphs. The representation numbers are known for certain bipartite graphs including all the graphs with at most nine vertices. For bipartite graphs with partite sets of sizes $m$ and $n$, Glen et al. conjectured that the representation number is at most $\lceil \frac{m+n}{4}\rceil$, where $m+n \ge 9$. In this paper, we show that every bipartit…

A Unifying Integral Representation of the Gamma Function and Its Reciprocal
Peter Reinhard Hansen, Chen Tong
https://arxiv.org/abs/2506.12112 https://

A Unifying Integral Representation of the Gamma Function and Its Reciprocal
We derive an integral expression $G(z)$ for the reciprocal gamma function, $1/Γ(z)=G(z)/π$, that is valid for all $z\in\mathbb{C}$, without the need for analytic continuation. The same integral avoids the singularities of the gamma function and satisfies $G(1-z)=Γ(z)\sin(πz)$ for all $z\in\mathbb{C}$.

It’s language pedantry! No, it’s math pedantry! Anyhow, “Comparing Numbers Badly” gripes about the mis-use of “order(s) of magnitude” and percentages in comparing numbers: https://www.tbray.org/ongoing/When/202x/2025/05/30/Number-Comparison-Representa…

Comparing Numbers Badly

There is little about Scott Jennings,
or the words that come out of his mouth,
that corresponds to reality.
A decade into Trump’s capture of the Republican Party, Jennings is the premier crossover enabler.
He is perhaps CNN’s most recognizable face alongside its primetime anchors,
and he is feted on jokey, tough-talk shows like Bill Maher. 
But Jennings is a representation of our own malady,
a projection of a country whose political culture is now…

Scott Jennings in the Hyperreal and the Myth of the Escape Hatch
Jennings is like a simulation of a Trump enabler.

AST-Enhanced or AST-Overloaded? The Surprising Impact of Hybrid Graph Representations on Code Clone Detection
Zixian Zhang, Takfarinas Saber
https://arxiv.org/abs/2506.14470

AST-Enhanced or AST-Overloaded? The Surprising Impact of Hybrid Graph Representations on Code Clone Detection
As one of the most detrimental code smells, code clones significantly increase software maintenance costs and heighten vulnerability risks, making their detection a critical challenge in software engineering. Abstract Syntax Trees (ASTs) dominate deep learning-based code clone detection due to their precise syntactic structure representation, but they inherently lack semantic depth. Recent studies address this by enriching AST-based representations with semantic graphs, such as Control Flow Gra…

Compact representation and long-time extrapolation of real-time data for quantum systems
Andre Erpenbeck, Yuanran Zhu, Yang Yu, Lei Zhang, Richard Gerum, Olga Goulko, Chao Yang, Guy Cohen, Emanuel Gull
https://arxiv.org/abs/2506.13760

Compact representation and long-time extrapolation of real-time data for quantum systems
Representing real-time data as a sum of complex exponentials provides a compact form that enables both denoising and extrapolation. As a fully data-driven method, the Estimation of Signal Parameters via Rotational Invariance Techniques (ESPRIT) algorithm is agnostic to the underlying physical equations, making it broadly applicable to various observables and experimental or numerical setups. In this work, we consider applications of the ESPRIT algorithm primarily to extend real-time dynamical d…

Today i wrote a parser & import to convert some semi-structured plain text into 40 different newsletter issues for an upcoming newsletter relaunch. And also fixed the internal structure of some of the mail widgets we are using, and their HTML representation.

Which Humans? Inclusivity and Representation in Human-Centered AI
Rada Mihalcea, Nazanin Andalibi, David Jensen, Matthew Turk, Pamela Wisniewski, Holly Yanco
https://arxiv.org/abs/2506.14680

Which Humans? Inclusivity and Representation in Human-Centered AI
As AI systems continue to spread and become integrated into many aspects of society, the concept of "human-centered AI" has gained increasing prominence, raising the critical question of which humans are the AI systems to be centered around.

Radiative decays of $P$-wave charmed baryons in the $SU(3)$ flavor $\bf6_F$ representation
Xuan Luo, Hua-Xing Chen, Er-Liang Cui, Hui-Min Yang, Dan Zhou, Zhi-Yong Zhou
https://arxiv.org/abs/2506.08335

Radiative decays of $P$-wave charmed baryons in the $SU(3)$ flavor $\bf6_F$ representation
We perform a comprehensive investigation of the radiative decays of $P$-wave charmed baryons in the $SU(3)$ flavor $\mathbf{6}_F$ representation, employing the light-cone QCD sum rule approach within the framework of heavy quark effective theory. We analyze their electromagnetic transitions into ground-state charmed baryons via photon emission. When combined with the mass spectra and strong decay properties previously studied in Ref.~\cite{Yang:2021lce}, our results constitute a systematic and …

Implicit Neural Representation-Based MRI Reconstruction Method with Sensitivity Map Constraints
Lixuan Rao, Xinlin Zhang, Yiman Huang, Tao Tan, Tong Tong
https://arxiv.org/abs/2506.06043

Implicit Neural Representation-Based MRI Reconstruction Method with Sensitivity Map Constraints
Magnetic Resonance Imaging (MRI) is a widely utilized diagnostic tool in clinical settings, but its application is limited by the relatively long acquisition time. As a result, fast MRI reconstruction has become a significant area of research. In recent years, Implicit Neural Representation (INR), as a scan-specific method, has demonstrated outstanding performance in fast MRI reconstruction without fully-sampled images for training. High acceleration reconstruction poses a challenging problem, …

This https://arxiv.org/abs/2503.09427 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Language-Enhanced Representation Learning for Single-Cell Transcriptomics
Single-cell RNA sequencing (scRNA-seq) offers detailed insights into cellular heterogeneity. Recent advancements leverage single-cell large language models (scLLMs) for effective representation learning. These models focus exclusively on transcriptomic data, neglecting complementary biological knowledge from textual descriptions. To overcome this limitation, we propose scMMGPT, a novel multimodal framework designed for language-enhanced representation learning in single-cell transcriptomics. Un…

Polynomial Eigenfunctions and Matrix Lyapunov Equations from Energy Balance Integrals
Netzer Moriya
https://arxiv.org/abs/2506.15288 https://

Polynomial Eigenfunctions and Matrix Lyapunov Equations from Energy Balance Integrals
We establish a unified theoretical framework that connects classical orthogonal polynomial systems to matrix Lyapunov equations through the fundamental physics of energy dissipation in stochastic dynamical systems. Starting from the energy balance principle in infinite-dimensional Hilbert spaces, we derive a master integral representation that naturally encompasses both spectral geometry and covariance dynamics. The theory reveals that established orthogonal polynomials (Zernike, Hermite, spher…

This https://arxiv.org/abs/2406.05694 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Low Rank Neural Representation of Entropy Solutions
We construct a new representation of entropy solutions to nonlinear scalar conservation laws with a smooth convex flux function in a single spatial dimension. The representation is a generalization of the method of characteristics and posseses a compositional form. While it is a nonlinear representation, the embedded dynamics of the solution in the time variable is linear. This representation is then discretized as a manifold of implicit neural representations where the feedforward neural netwo…

Integrating positive energy representations of the Virasoro algebra
Andr\'e G. Henriques, James E. Tener
https://arxiv.org/abs/2506.08684 https://

Integrating positive energy representations of the Virasoro algebra
We show that every unitary positive energy representation W of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli by bounded operators on the Hilbert space completion of W. We use this to show that every representation of the Virasoro conformal net also carries a representation of the semigroup of annuli of the same kind.

Ideal-theoretic non-noetherianity of polynomial functors in positive characteristic
Karthik Ganapathy
https://arxiv.org/abs/2506.15134 https://

Ideal-theoretic non-noetherianity of polynomial functors in positive characteristic
A long-standing open problem in representation stability is whether every finitely generated commutative algebra in the category of strict polynomial functors satisfies the noetherian property. In this paper, we resolve this problem negatively over fields of positive characteristic using ideas from invariant theory. Specifically, we consider the algebra $P$ of polarizations of elementary symmetric polynomials inside the ring of all multisymmetric polynomials in $p \times \infty$ variables. We s…

Transition Path Theory For L\'{e}vy-Type Processes: SDE Representation and Statistics
Yuanfei Huang, Xiang Zhou
https://arxiv.org/abs/2506.09462 https:…

Transition Path Theory For Lévy-Type Processes: SDE Representation and Statistics
This paper establishes a Transition Path Theory (TPT) for Lévy-type processes, addressing a critical gap in the study of the transition mechanism between meta-stabile states in non-Gaussian stochastic systems. A key contribution is the rigorous derivation of the stochastic differential equation (SDE) representation for transition path processes, which share the same distributional properties as transition trajectories, along with a proof of its well-posedness. This result provides a solid theo…

Reminder: public protest is about visibility, not hiding. The power comes from people being willing to be visible, put their time on the line, and if needed, their bodies.
If you're going to start shit, maybe just ... don't. Direct action of the illegal sort requires careful planning and a tactical and strategic plan for why it will win. It happens sometimes, but it's not the mode, it's not the mode of the No Kings protests. This is a popular, public demonstration of outrage. It's legal (for now, and I hope, ever).
Yes, the police may try to kettle protesters and then trap them into curfew violations in places that have curfews. Masks won't save us from that where it happens. Just running the system with competent representation (and enough bodies to make it A Problem for the system) will.
We don't all need to be masked vigilantes at protests, and in a lot of cases, we need to be worried about the people masking up and starting shit. Remember that this is our opponents current tactic: masked, violent attacks. Don't look like them.

Object knowledge representation in the human visual cortex requires a connection with the language system https://journals.plos.org/plosbiology/article?id=10.1371/journal.pbio.3003161 "Our experiments reveal the contribution of the vision-la…

Object knowledge representation in the human visual cortex requires a connection with the language system
This study shows that communication between the visual cortex and the brain language system is necessary for the representation of object knowledge in the visual cortex and for corresponding behaviors in humans. This highlights the significance of connections between sensory and language systems for object knowledge in the human brain.

A global urban road network self-adaptive simplification workflow from traffic to spatial representation
https://www.nature.com/articles/s41597-025-05164-9
Data for 35 cities. Looks similar to the neatnet method

A global urban road network self-adaptive simplification workflow from traffic to spatial representation - Scientific Data
Urban road network is crucial for understanding and revealing the spatial logic of urban organization and evolution. However, existing urban road network datasets like OpenStreetMap are designed for traffic studies, treating each lane as a distinct spatial unit of mobility, which may not align with urban studies considering each road as an integration space for social and cultural dynamics. This study established a novel workflow to self-adaptively transform the global urban road network from t…

This https://arxiv.org/abs/2410.22931 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

A Third-Order Gaussian Process Trajectory Representation Framework with Closed-Form Kinematics for Continuous-Time Motion Estimation
In this paper, we propose a third-order, i.e., white-noise-on-jerk, Gaussian Process (GP) Trajectory Representation (TR) framework for continuous-time (CT) motion estimation (ME) tasks. Our framework features a unified trajectory representation that encapsulates the kinematic models of both $SO(3)\times\mathbb{R}^3$ and $SE(3)$ pose representations. This encapsulation strategy allows users to use the same implementation of measurement-based factors for either choice of pose representation, whic…

Ando type dilation for completely contractive covariant representations
Azad Rohilla, Dimple Saini
https://arxiv.org/abs/2506.09483 https://

Ando type dilation for completely contractive covariant representations
Solel proved that every completely contractive covariant representation of a product system $\mathbb{E}$ over $\mathbb N^2_0$ can be dilated to an isometric representation of $\mathbb N^2_0,$ which covers Ando's dilation result when $C^{*}$-algebra $\mathcal{M} = \mathbb{C}$ and $\mathbb{E}(\mathbf{n}) = \mathbb{C},$ where $\mathbf{n}\in \mathbb N^2_0.$ That arises a natural question that exactly which type of representations dilate completely contractive covariant representation of product sys…

Replaced article(s) found for math.RT. https://arxiv.org/list/math.RT/new
[1/1]:
A generalized character related to the local structure and representation theory of a finite group

Finding Some Impossibility of Flat-Folding of Given Origami Crease Pattern by Graphical Representation
Chihiro Nakajima
https://arxiv.org/abs/2506.12659 ht…

Finding Some Impossibility of Flat-Folding of Given Origami Crease Pattern by Graphical Representation
Flat-foldability problem of origami is the problem to determine whether a given crease pattern drawn on a piece of paper is possible to fold without any penetration or intrusion of a polygon into any connections among them. It is known from the results of Bern and Hayes and following studies that determining whether an origami diagram which constitute of polygons in general shapes can be flat-folded is an NP-hard problem. In this manuscript, on determining the flat foldability of unsigned creas…

This https://arxiv.org/abs/2411.10596 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

A minimalistic representation model for head direction system
We present a minimalistic representation model for the head direction (HD) system, aiming to learn a high-dimensional representation of head direction that captures essential properties of HD cells. Our model is a representation of rotation group $U(1)$, and we study both the fully connected version and convolutional version. We demonstrate the emergence of Gaussian-like tuning profiles and a 2D circle geometry in both versions of the model. We also demonstrate that the learned model is capable…

Left-invariant ${\rm G}_2^*$-structures of type III
Viviana del Barco, Ana Cristina Ferreira, Ines Kath
https://arxiv.org/abs/2506.14031 https://

Left-invariant ${\rm G}_2^*$-structures of type III
We investigate left-invariant ${\rm G}_2^*$-structures on 7-dimensional Lie groups, focusing on those whose holonomy algebras are indecomposable and of type III, the latter meaning that the socle of the holonomy representation is maximal. Building on the classification of indecomposable holonomy algebras contained in $\mathfrak g_2^*$, we determine which ones arise as infinitesimal holonomy algebras of type III for left-invariant ${\rm G}_2^*$-structures. Our main result shows that only abelian…

Fourier Transform Method Of A Detailed Configuration Accounting In Hot Plasma Bound-Bound Opacity Calculations
Evgeniya Arapova, Yulia Koryakina, Mikhail Vronskiy
https://arxiv.org/abs/2506.14953

Fourier Transform Method Of A Detailed Configuration Accounting In Hot Plasma Bound-Bound Opacity Calculations
G.~Hazak and J.~Kurzweil discovered a method of configurational resolution of transition arrays for the Super Transition Arrays approach to the bound-bound opacity calculation. Their method is based on the representation of the photoabsorption coefficient as the Fourier transform, the linearity of the transition energy between configurations with respect to shell occupation numbers, and factorization of the probabilities of configurations on shell occupation numbers. We extend the Hazak -- Kurz…

Next stop in our NLP timeline is 2013, the introduction of low dimensional dense word vectors - so-called "word embeddings" - based on distributed semantics, as e.g. word2vec by Mikolov et al. from Google, which enabled representation learning on text.
T. Mikolov et al. (2013). Efficient Estimation of Word Representations in Vector Space.
…

Efficient Estimation of Word Representations in Vector Space
We propose two novel model architectures for computing continuous vector representations of words from very large data sets. The quality of these representations is measured in a word similarity task, and the results are compared to the previously best performing techniques based on different types of neural networks. We observe large improvements in accuracy at much lower computational cost, i.e. it takes less than a day to learn high quality word vectors from a 1.6 billion words data set. Fur…

Communication Complexity of Exact Sampling under R\'enyi Information
Spencer Hill, Fady Alajaji, Tam\'as Linder
https://arxiv.org/abs/2506.12219 ht…

Communication Complexity of Exact Sampling under Rényi Information
We study the problem of communicating a sample from a probability distribution $P$ given shared access to a sequence distributed according to another probability distribution $Q$. Li and El Gamal used the Poisson functional representation to show that the minimum expected message length to communicate a sample from $P$ can be upper bounded by $D(P||Q) + \log (D(P||Q) + 1) + 4$, where $D(\, \cdot \, || \, \cdot\, )$ is the Kullback-Leibler divergence. We generalize …

A novel approach for converting spatio-temporal series into complex networks
G. Cigdem Yalcin, M. Berk Onder
https://arxiv.org/abs/2506.14378 https://

A novel approach for converting spatio-temporal series into complex networks
This study aims to offer a new perspective on complex network representation of real-world systems. Currently, the most well-known transformation algorithms in the literature treat each data point in a time series as a node and transform the time series into a network. In this study, we present a new approach converting spatio-temporal series into a complex network. We focus on studying this transformation by grounding it in the context of physics , with the aim of adapting it to real-world pro…

Unified Network-Based Representation of BIM Models for Embedding Semantic, Spatial, and Topological Data
Jin Han, Xin-Zheng Lu, Jia-Rui Lin
https://arxiv.org/abs/2505.22670

Unified Network-Based Representation of BIM Models for Embedding Semantic, Spatial, and Topological Data
Building Information Modeling (BIM) has revolutionized the construction industry by providing a comprehensive digital representation of building structures throughout their lifecycle. However, existing research lacks effective methods for capturing the complex spatial and topological relationships between components in BIM models, which are essential for understanding design patterns and enhancing decision-making. This study proposes a unified network-based representation method that integrates…

Model Discovery and Graph Simulation: A Lightweight Alternative to Chaos Engineering
Anatoly A. Krasnovsky, Alexander Zorkin
https://arxiv.org/abs/2506.11176

Model Discovery and Graph Simulation: A Lightweight Alternative to Chaos Engineering
Microservice applications are prone to cascading failures because of dense inter-service dependencies. Ensuring resilience usually demands fault-injection experiments in production-like setups. We propose \textit{model discovery} -- an automated CI/CD step that extracts a live dependency graph from trace data -- and show that this lightweight representation is sufficient for accurate resilience prediction. Using the DeathStarBench Social Network, we build the graph, simulate failures via Monte-…

The Latent Space Hypothesis: Toward Universal Medical Representation Learning
Salil Patel
https://arxiv.org/abs/2506.04515 https://ar…

The Latent Space Hypothesis: Toward Universal Medical Representation Learning
Medical data range from genomic sequences and retinal photographs to structured laboratory results and unstructured clinical narratives. Although these modalities appear disparate, many encode convergent information about a single underlying physiological state. The Latent Space Hypothesis frames each observation as a projection of a unified, hierarchically organized manifold -- much like shadows cast by the same three-dimensional object. Within this learned geometric representation, an individ…

Gravitational wave propagation in hybrid metric-Palatini gravity
Cl\'audio Gomes, Jo\~ao Lu\'is Rosa, Miguel A. S. Pinto
https://arxiv.org/abs/2506.12870

Gravitational wave propagation in hybrid metric-Palatini gravity
In this work we analyze the propagation properties of gravitational waves in the hybrid metric-Palatini gravity theory. We introduce the scalar-tensor representation of the theory to make explicit the scalar degrees of freedom of the theory and obtain their equations of motion in a form decoupled from the metric tensor. Then, we introduce linear perturbations for the metric tensor and for the two scalar fields and obtain the propagation equations for these three quantities. We analyzed the theo…

Hey friends! We just returned from a longer walk along the #Osterseen near #Iffeldorf.
We try to avoid any elevation to support my wife's recovery from her knee surgery.
The walk was nice, but the weather was awful for photos. Very bright, very hazy. As much as I enjoyed the walk…

🛡️ DAY 3 at GÉANT #SecurityDays | Thank you!
A huge thank you to 160 participants from 28 countries! With strong female representation and 63 unique organisations, Security Days was more than just an event—it was a community in action.
We closed with a thought-provoking plenary on #AI, digit…

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[1/3]:
Maximizing Information in Domain-Invariant Representation Improves Transfer Learning

When Does Meaning Backfire? Investigating the Role of AMRs in NLI
Junghyun Min, Xiulin Yang, Shira Wein
https://arxiv.org/abs/2506.14613 https://

When Does Meaning Backfire? Investigating the Role of AMRs in NLI
Natural Language Inference (NLI) relies heavily on adequately parsing the semantic content of the premise and hypothesis. In this work, we investigate whether adding semantic information in the form of an Abstract Meaning Representation (AMR) helps pretrained language models better generalize in NLI. Our experiments integrating AMR into NLI in both fine-tuning and prompting settings show that the presence of AMR in fine-tuning hinders model generalization while prompting with AMR leads to sligh…

An $O(n$)-Algorithm for the Higher-Order Kinematics and Inverse Dynamics of Serial Manipulators using Spatial Representation of Twists
Andreas Mueller
https://arxiv.org/abs/2506.10686

An $O(n$)-Algorithm for the Higher-Order Kinematics and Inverse Dynamics of Serial Manipulators using Spatial Representation of Twists
Optimal control in general, and flatness-based control in particular, of robotic arms necessitate to compute the first and second time derivatives of the joint torques/forces required to achieve a desired motion. In view of the required computational efficiency, recursive $O(n)$-algorithms were proposed to this end. Aiming at compact yet efficient formulations, a Lie group formulation was recently proposed, making use of body-fixed and hybrid representation of twists and wrenches. In this paper…

ICU-TSB: A Benchmark for Temporal Patient Representation Learning for Unsupervised Stratification into Patient Cohorts
Dimitrios Proios, Alban Bornet, Anthony Yazdani, Jose F Rodrigues Jr, Douglas Teodoro
https://arxiv.org/abs/2506.06192

ICU-TSB: A Benchmark for Temporal Patient Representation Learning for Unsupervised Stratification into Patient Cohorts
Patient stratification identifying clinically meaningful subgroups is essential for advancing personalized medicine through improved diagnostics and treatment strategies. Electronic health records (EHRs), particularly those from intensive care units (ICUs), contain rich temporal clinical data that can be leveraged for this purpose. In this work, we introduce ICU-TSB (Temporal Stratification Benchmark), the first comprehensive benchmark for evaluating patient stratification based on temporal pat…

Review of heat and charge transport in strongly magnetized relativistic plasmas
Igor A. Shovkovy, Ritesh Ghosh
https://arxiv.org/abs/2506.14956 https://

Review of heat and charge transport in strongly magnetized relativistic plasmas
We review field-theoretic studies of charge transport in hot relativistic plasmas under strong magnetic fields and extend the analysis to thermal conductivity. The calculations rely on accurately determining the fermion damping rate. Using the Landau-level representation, these damping rates are computed exactly at leading order and incorporated into the Kubo formula to obtain the thermal and electrical conductivity tensors. Our analysis reveals that the underlying mechanisms of longitudinal an…

Low-Rank Augmented Implicit Neural Representation for Unsupervised High-Dimensional Quantitative MRI Reconstruction
Haonan Zhang, Guoyan Lao, Yuyao Zhang, Hongjiang Wei
https://arxiv.org/abs/2506.09100

Low-Rank Augmented Implicit Neural Representation for Unsupervised High-Dimensional Quantitative MRI Reconstruction
Quantitative magnetic resonance imaging (qMRI) provides tissue-specific parameters vital for clinical diagnosis. Although simultaneous multi-parametric qMRI (MP-qMRI) technologies enhance imaging efficiency, robustly reconstructing qMRI from highly undersampled, high-dimensional measurements remains a significant challenge. This difficulty arises primarily because current reconstruction methods that rely solely on a single prior or physics-informed model to solve the highly ill-posed inverse pr…

Where Journalism Silenced Voices: Exploring Discrimination in the Representation of Indigenous Communities in Bangladesh
Abhijit Paul, Adity Khisa, Zarif Masud, Sharif Md. Abdullah, Ahmedul Kabir, Shebuti Rayana
https://arxiv.org/abs/2506.09771

Where Journalism Silenced Voices: Exploring Discrimination in the Representation of Indigenous Communities in Bangladesh
In this paper, we examine the intersections of indigeneity and media representation in shaping perceptions of indigenous communities in Bangladesh. Using a mixed-methods approach, we combine quantitative analysis of media data with qualitative insights from focus group discussions (FGD). First, we identify a total of 4,893 indigenous-related articles from our initial dataset of 2.2 million newspaper articles, using a combination of keyword-based filtering and LLM, achieving 77% accuracy and an …

The superposition principle for the continuity equation with singular flux
Stefano Almi, Riccarda Rossi, Giuseppe Savar\'e
https://arxiv.org/abs/2506.15333

The superposition principle for the continuity equation with singular flux
Representation results for absolutely continuous curves $μ:[0,T]\to \mathcal{P}_p(\mathbb{R}^d)$, $p>1$, with values in the Wasserstein space $(\mathcal{P}_p(\mathbb{R}^d),W_p)$ of Borel probability measures in $\mathbb{R}^d$ with finite $p$-moment, provide a crucial tool to study evolutionary PDEs in a measure-theoretic setting. They are strictly related to the superposition principle for measure-valued solutions to the continuity equation. This paper addresses the extension of these results …

Replaced article(s) found for math.RT. https://arxiv.org/list/math.RT/new
[1/1]:
- A continuous associahedron of type A
Maitreyee C. Kulkarni, Jacob P. Matherne, Kaveh Mousavand, Job D. Rock

XGraphRAG: Interactive Visual Analysis for Graph-based Retrieval-Augmented Generation
Ke Wang, Bo Pan, Yingchaojie Feng, Yuwei Wu, Jieyi Chen, Minfeng Zhu, Wei Chen
https://arxiv.org/abs/2506.13782

XGraphRAG: Interactive Visual Analysis for Graph-based Retrieval-Augmented Generation
Graph-based Retrieval-Augmented Generation (RAG) has shown great capability in enhancing Large Language Model (LLM)'s answer with an external knowledge base. Compared to traditional RAG, it introduces a graph as an intermediate representation to capture better structured relational knowledge in the corpus, elevating the precision and comprehensiveness of generation results. However, developers usually face challenges in analyzing the effectiveness of GraphRAG on their dataset due to GraphRAG's …

Identical representation functions of linear forms
S\'andor Kiss, Csaba S\'andor
https://arxiv.org/abs/2506.03983 https://arx…

Identical representation functions of linear forms
For a set of natural numbers $A$, let $R_{A}(n)$ be the number of representations of a natural number $n$ as the sum of two terms from $A$. Many years ago, Nathanson studied the conditions for the set $A$ and $B$ of natural numbers that are needed to guarantee that $R_{A}(n) = R_{B}(n)$ for every positive integer $n$. In the last decades, similar questions have been studied by many authors. In this paper, we extend Nathanson's result to representation functions associated to linear forms and we…

Higher-Order Network Representation of J. S. Bach's Solo Violin Sonatas and Partitas: Topological and Geometrical Explorations
Dima Mrad, Sara Najem
https://arxiv.org/abs/2506.08540

Higher-Order Network Representation of J. S. Bach's Solo Violin Sonatas and Partitas: Topological and Geometrical Explorations
Music is inherently complex, with structures and interactions that unfold across multiple layers. Complex networks have emerged as powerful structures for the quantitative analysis of Western classical music, revealing significant features of its harmonic and structural organization. Although notable works have used these approaches to study music, dyadic representations of interactions fall short in conveying the underlying complexity and depth. In recent years, the limitations of traditional …

Nonlinear Control of a Quadrotor UAV Using Backstepping-Based Sliding Mode Technique
Thien Nhan Vo
https://arxiv.org/abs/2506.14195 https://

Nonlinear Control of a Quadrotor UAV Using Backstepping-Based Sliding Mode Technique
This paper presents the development of a sliding mode controller using the backstepping approach. The controller is employed to synthesize tracking errors and Lyapunov functions. A novel state-space representation is formulated by incorporating the dynamics of the quadrotor and accounting for non-holonomic constraints. The proposed sliding mode controller effectively addresses system nonlinearities and improves tracking of predefined trajectories. Simulation results are presented graphically to…

Contractive upper triangular matrices with prescribed diagonals and superdiagonals
Axel Renard
https://arxiv.org/abs/2506.15444 https://

Contractive upper triangular matrices with prescribed diagonals and superdiagonals
A characterization of the matrix representation of the compressed shift acting on a finite-dimensional model space endowed with the Takenaka-Malmquist-Walsh basis, among all upper triangular matrices, is proved. For a fixed dimension, this matrix is the unique matrix with spectral norm no greater than one and with a prescribed diagonal and superdiagonal. We also discuss an extension to the setting of infinite matrices.

This https://arxiv.org/abs/2506.01297 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csAI_…

MobCLIP: Learning General-purpose Geospatial Representation at Scale
Representation learning of geospatial locations remains a core challenge in achieving general geospatial intelligence. Current embedding methods often lack versatility, limiting their utility across diverse tasks in both human and natural domains. We present MobCLIP, the first nationwide general-purpose location encoder, integrating an unprecedented diversity of data modalities through effective and scalable multimodal fusion. Adopting a novel CLIP-based architecture, our framework aligns 100M+…

This https://arxiv.org/abs/2306.15290 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

On boundary degrees of freedom in three dimensional Anti-de Sitter spacetime and thermofield-double
We will give two representations for thermofield-double (TFD). The first representation is the well-known Kerr-BTZ black hole geometry, which is the solution of Einstein's equation. The second representation is a disjoint union of two circles, which is a solution to two copies of the Schwarzian theory. This representation, in particular, admits the reparametrization modes, which are absent in any two dimensional CFT on a torus, and are essential for (dis-)entangling the TFD. Since the two repre…

A Tale of Two Systems: Characterizing Architectural Complexity on Machine Learning-Enabled Systems
Renato Cordeiro Ferreira (University of S\~ao Paulo, Jheronimus Academy of Data Science, Technical University of Eindhoven, Tilburg University)
https://arxiv.org/abs/2506.11295

A Tale of Two Systems: Characterizing Architectural Complexity on Machine Learning-Enabled Systems
How can the complexity of ML-enabled systems be managed effectively? The goal of this research is to investigate how complexity affects ML-Enabled Systems (MLES). To address this question, this research aims to introduce a metrics-based architectural model to characterize the complexity of MLES. The goal is to support architectural decisions, providing a guideline for the inception and growth of these systems. This paper brings, side-by-side, the architecture representation of two systems that …

[2025-06-20 Fri (UTC), no new articles found for math.RT Representation Theory]
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A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization
Muhammed Ustaomeroglu, Guannan Qu
https://arxiv.org/abs/2506.06179

A Theoretical Study of (Hyper) Self-Attention through the Lens of Interactions: Representation, Training, Generalization
Self-attention has emerged as a core component of modern neural architectures, yet its theoretical underpinnings remain elusive. In this paper, we study self-attention through the lens of interacting entities, ranging from agents in multi-agent reinforcement learning to alleles in genetic sequences, and show that a single layer linear self-attention can efficiently represent, learn, and generalize functions capturing pairwise interactions, including out-of-distribution scenarios. Our analysis r…

Language Surgery in Multilingual Large Language Models
Joanito Agili Lopo, Muhammad Ravi Shulthan Habibi, Tack Hwa Wong, Muhammad Ilham Ghozali, Fajri Koto, Genta Indra Winata, Peerat Limkonchotiwat, Alham Fikri Aji, Samuel Cahyawijaya
https://arxiv.org/abs/2506.12450

Language Surgery in Multilingual Large Language Models
Large Language Models (LLMs) have demonstrated remarkable generalization capabilities across tasks and languages, revolutionizing natural language processing. This paper investigates the naturally emerging representation alignment in LLMs, particularly in the middle layers, and its implications for disentangling language-specific and language-agnostic information. We empirically confirm the existence of this alignment, analyze its behavior in comparison to explicitly designed alignment models, …

Lifting residual Galois representations with the same semi-simplification
Stefan Nikoloski
https://arxiv.org/abs/2506.12644 https://a…

Lifting residual Galois representations with the same semi-simplification
If a $p$-adic Galois representation $ρ_{f,ν}:Γ_{\mathbb Q} \to \GL_2(E_{f,ν})$ attached to some eigenform $f$ is residually reducible it will have 2 non-isomorphic reductions, which have the same semi-simplification. In this paper, we answer a version of the inverse question, first brought up by Toby Gee and Alice Pozzi. Starting with two modulo $p$ non-semi-simple representations $\overline{ρ_1},\overline{ρ_2}:Γ_{\mathbb Q} \to \GL_2(k)$, which have the same semi-simplification we show …

TACS-Graphs: Traversability-Aware Consistent Scene Graphs for Ground Robot Indoor Localization and Mapping
Jeewon Kim, Minho Oh, Hyun Myung
https://arxiv.org/abs/2506.14178

TACS-Graphs: Traversability-Aware Consistent Scene Graphs for Ground Robot Indoor Localization and Mapping
Scene graphs have emerged as a powerful tool for robots, providing a structured representation of spatial and semantic relationships for advanced task planning. Despite their potential, conventional 3D indoor scene graphs face critical limitations, particularly under- and over-segmentation of room layers in structurally complex environments. Under-segmentation misclassifies non-traversable areas as part of a room, often in open spaces, while over-segmentation fragments a single room into overla…

Delegations as Adaptive Representation Patterns: Rethinking Influence in Liquid Democracy
Davide Grossi, Andreas Nitsche
https://arxiv.org/abs/2506.09789 h…

Delegations as Adaptive Representation Patterns: Rethinking Influence in Liquid Democracy
Liquid democracy is a mechanism for the division of labor in decision-making through the transitive delegation of influence. In essence, all individuals possess the autonomy to determine the issues with which they will engage directly, while for other matters, they may appoint a representative of their choosing. So far, the literature has studied the delegation structures emerging in liquid democracy as static. As a result, transitivity defined as the capacity to transfer acquired authority to …

Research Knowledge Graphs: the Shifting Paradigm of Scholarly Information Representation
Matth\"aus Zloch, Danilo Dess\`i, Jennifer D'Souza, Leyla Jael Castro, Benjamin Zapilko, Saurav Karmakar, Brigitte Mathiak, Markus Stocker, Wolfgang Otto, S\"oren Auer, Stefan Dietze
https://arxiv.org/abs/2506.07285

Research Knowledge Graphs: the Shifting Paradigm of Scholarly Information Representation
Sharing and reusing research artifacts, such as datasets, publications, or methods is a fundamental part of scientific activity, where heterogeneity of resources and metadata and the common practice of capturing information in unstructured publications pose crucial challenges. Reproducibility of research and finding state-of-the-art methods or data have become increasingly challenging. In this context, the concept of Research Knowledge Graphs (RKGs) has emerged, aiming at providing an easy to u…

This https://arxiv.org/abs/2503.02585 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csSD_…

A Hypernetwork-Based Approach to KAN Representation of Audio Signals
Implicit neural representations (INR) have gained prominence for efficiently encoding multimedia data, yet their applications in audio signals remain limited. This study introduces the Kolmogorov-Arnold Network (KAN), a novel architecture using learnable activation functions, as an effective INR model for audio representation. KAN demonstrates superior perceptual performance over previous INRs, achieving the lowest Log-SpectralDistance of 1.29 and the highest Perceptual Evaluation of Speech Qua…

An explicit decomposition of higher Deligne-Lsuztig representations
Ben Liu, Sian Nie
https://arxiv.org/abs/2506.12918 https://arxiv.…

An explicit decomposition of higher Deligne-Lsuztig representations
In a previous paper, the second named author obtains a decomposition of an elliptic higher Deligne-Lusztig representation into irreducible summands, which are built in the same way as Yu types using a geometric analog $κ'$ of the Weil-Heisenberg representation $κ$. In this note, we show that $κ'$ and $κ$ differs by a character $χ$. Moreover, under a mild condition on the cardinality $q$ of the residue field (for instance $q > 3$), we show that $χ$ equals the quadratic character constructe…

The invariant subspace problem and Rosenblum operators I
Junsheng Fang, Bingzhe Hou, Chunlan Jiang, Yuanhang Zhang
https://arxiv.org/abs/2506.15270 https:/…

The invariant subspace problem and Rosenblum operators I
Let $T\in B(\mathcal{H})$ be an invertible operator. From the 1940's, Gelfand, Hille and Wermer investigated the invariant subspaces of $T$ by analyzing the growth of $\|T^n\|$, where $n\in \mathbb{Z}$. In this paper, we study the invariant subspaces of $T$ by estimating the growth of $\|T^n+λT^{-n}\|$, where $n\in \mathbb{N}$ and $λ$ is a nonzero complex constant. The key ingredient of our approach is introducing the notion of shift representation operators, which is base…

ReLCP: Scalable Complementarity-Based Collision Resolution for Smooth Rigid Bodies
Bryce Palmer, Hasan Metin Aktulga, Tong Gao
https://arxiv.org/abs/2506.14097

ReLCP: Scalable Complementarity-Based Collision Resolution for Smooth Rigid Bodies
We present a complementarity-based collision resolution algorithm for smooth, non-spherical, rigid bodies. Unlike discrete surface representation approaches, which approximate surfaces using discrete elements (e.g., tessellations or sub-spheres) with constraints between nearby faces, edges, nodes, or sub-objects, our algorithm solves a recursively generated linear complementarity problem (ReLCP) to adaptively identify potential collision locations during the collision resolution procedure. Desp…

The Synthetic Mirror -- Synthetic Data at the Age of Agentic AI
Marcelle Momha
https://arxiv.org/abs/2506.13818 https://arxiv.org/pdf…

The Synthetic Mirror -- Synthetic Data at the Age of Agentic AI
Synthetic data, which is artificially generated and intelligently mimicking or supplementing the real-world data, is increasingly used. The proliferation of AI agents and the adoption of synthetic data create a synthetic mirror that conceptualizes a representation and potential distortion of reality, thus generating trust and accountability deficits. This paper explores the implications for privacy and policymaking stemming from synthetic data generation, and the urgent need for new policy inst…

Replaced article(s) found for math.RT. https://arxiv.org/list/math.RT/new
[1/1]:
Generalized electrical Lie algebras
https://…

Factor-Graph-Based Passive Acoustic Navigation for Decentralized Cooperative Localization Using Bearing Elevation Depth Difference
Kalliyan Velasco, Timothy W. McLain, Joshua G. Mangelson
https://arxiv.org/abs/2506.14690

Factor-Graph-Based Passive Acoustic Navigation for Decentralized Cooperative Localization Using Bearing Elevation Depth Difference
Accurate and scalable underwater multi-agent localization remains a critical challenge due to the constraints of underwater communication. In this work, we propose a multi-agent localization framework using a factor-graph representation that incorporates bearing, elevation, and depth difference (BEDD). Our method leverages inverted ultra-short baseline (inverted-USBL) derived azimuth and elevation measurements from incoming acoustic signals and relative depth measurements to enable cooperative …

WhisQ: Cross-Modal Representation Learning for Text-to-Music MOS Prediction
Jakaria Islam Emon, Kazi Tamanna Alam, Md. Abu Salek
https://arxiv.org/abs/2506.05899

WhisQ: Cross-Modal Representation Learning for Text-to-Music MOS Prediction
Mean Opinion Score (MOS) prediction for text to music systems requires evaluating both overall musical quality and text prompt alignment. This paper introduces WhisQ, a multimodal architecture that addresses this dual-assessment challenge through sequence level co-attention and optimal transport regularization. WhisQ employs the Whisper Base pretrained model for temporal audio encoding and Qwen 3, a 0.6B Small Language Model (SLM), for text encoding, with both maintaining sequence structure for…

hyperFA*IR: A hypergeometric approach to fair rankings with finite candidate pool
Mauritz N. Cartier van Dissel, Samuel Martin-Gutierrez, Lisette Esp\'in-Noboa, Ana Mar\'ia Jaramillo, Fariba Karimi
https://arxiv.org/abs/2506.14349

hyperFA*IR: A hypergeometric approach to fair rankings with finite candidate pool
Ranking algorithms play a pivotal role in decision-making processes across diverse domains, from search engines to job applications. When rankings directly impact individuals, ensuring fairness becomes essential, particularly for groups that are marginalised or misrepresented in the data. Most of the existing group fairness frameworks often rely on ensuring proportional representation of protected groups. However, these approaches face limitations in accounting for the stochastic nature of rank…

Tactile Beyond Pixels: Multisensory Touch Representations for Robot Manipulation
Carolina Higuera, Akash Sharma, Taosha Fan, Chaithanya Krishna Bodduluri, Byron Boots, Michael Kaess, Mike Lambeta, Tingfan Wu, Zixi Liu, Francois Robert Hogan, Mustafa Mukadam
https://arxiv.org/abs/2506.14754…

Tactile Beyond Pixels: Multisensory Touch Representations for Robot Manipulation
We present Sparsh-X, the first multisensory touch representations across four tactile modalities: image, audio, motion, and pressure. Trained on ~1M contact-rich interactions collected with the Digit 360 sensor, Sparsh-X captures complementary touch signals at diverse temporal and spatial scales. By leveraging self-supervised learning, Sparsh-X fuses these modalities into a unified representation that captures physical properties useful for robot manipulation tasks. We study how to effectively …

[2025-06-19 Thu (UTC), 5 new articles found for math.RT Representation Theory]
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GSDNet: Revisiting Incomplete Multimodal-Diffusion from Graph Spectrum Perspective for Conversation Emotion Recognition
Yuntao Shou, Jun Yao, Tao Meng, Wei Ai, Cen Chen, Keqin Li
https://arxiv.org/abs/2506.12325

GSDNet: Revisiting Incomplete Multimodal-Diffusion from Graph Spectrum Perspective for Conversation Emotion Recognition
Multimodal emotion recognition in conversations (MERC) aims to infer the speaker's emotional state by analyzing utterance information from multiple sources (i.e., video, audio, and text). Compared with unimodality, a more robust utterance representation can be obtained by fusing complementary semantic information from different modalities. However, the modality missing problem severely limits the performance of MERC in practical scenarios. Recent work has achieved impressive performance on moda…

ATK: Automatic Task-driven Keypoint Selection for Robust Policy Learning
Yunchu Zhang, Shubham Mittal, Zhengyu Zhang, Liyiming Ke, Siddhartha Srinivasa, Abhishek Gupta
https://arxiv.org/abs/2506.13867

ATK: Automatic Task-driven Keypoint Selection for Robust Policy Learning
Visuomotor policies often suffer from perceptual challenges, where visual differences between training and evaluation environments degrade policy performance. Policies relying on state estimations, like 6D pose, require task-specific tracking and are difficult to scale, while raw sensor-based policies may lack robustness to small visual disturbances.In this work, we leverage 2D keypoints - spatially consistent features in the image frame - as a flexible state representation for robust policy le…

This https://arxiv.org/abs/2407.18152 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kronecker coefficients and Harrison centres of the representation ring of the symmetric group
We present a computational approach to studying the structure of the representation ring of the symmetric group in dimension six. The Kronecker coefficients and all power formulae of irreducible representations of $S_6$ are computed using the character theory of finite groups. In addition, considering direct sum decomposition of tensor products of different irreducible representations of $S_6$, we characterise generators of the representation ring $\mathcal{R}(S_6)$, show that its unit group $U…

Bi-Manual Joint Camera Calibration and Scene Representation
Haozhan Tang, Tianyi Zhang, Matthew Johnson-Roberson, Weiming Zhi
https://arxiv.org/abs/2505.24819

Bi-Manual Joint Camera Calibration and Scene Representation
Robot manipulation, especially bimanual manipulation, often requires setting up multiple cameras on multiple robot manipulators. Before robot manipulators can generate motion or even build representations of their environments, the cameras rigidly mounted to the robot need to be calibrated. Camera calibration is a cumbersome process involving collecting a set of images, with each capturing a pre-determined marker. In this work, we introduce the Bi-Manual Joint Calibration and Representation Fra…

[2025-06-18 Wed (UTC), 2 new articles found for math.RT Representation Theory]
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Replaced article(s) found for math.RT. https://arxiv.org/list/math.RT/new
[1/1]:
Invariant derivations and trace bounds
https://