{"query": "Rational Solutions of the Painlev\\'e-II Equation Revisited", "pos": ["A Generalised Sextic Freud Weight"], "neg": ["Formal groups and quantum cohomology", "Hypergeometric heritage of W.N. Bailey. With an appendix: Bailey's\n  letters to F. Dyson", "Scaling-violation phenomena and fractality in the human posture control\n  systems", "Glucodensities: a new representation of glucose profiles using\n  distributional data analysis", "Minimum Description Length codes are critical", "Universal Axial Algebras and a Theorem of Sakuma", "Prediction and description of a chiral pseudogap phase", "Bifurcation analysis of a normal form for excitable media: Are stable\n  dynamical alternans on a ring possible?", "One-dimensional foliations on topological manifolds", "Multiclass Diffuse Interface Models for Semi-Supervised Learning on\n  Graphs", "Synchronization patterns in LIF Neural Networks: Merging Nonlocal and\n  Diagonal Connectivity", "Longitudinal b-operators, Blups and Index theorems", "A two-scale model for sheared fault gouge: Competition between\n  macroscopic disorder and local viscoplasticity", "Online monitoring for safe pedestrian-vehicle interactions", "Accelerating Laue Depth Reconstruction Algorithm with CUDA", "An Algebraic Programming Style for Numerical Software and its\n  Optimization", "Compressible Baker Maps and Their Inverses. A Memoir for Francis Hayin\n  Ree [ 1936-2020 ]", "Multi-task Neural Networks for Personalized Pain Recognition from\n  Physiological Signals", "The Speed of Gravity in General Relativity and Theoretical\n  Interpretation of the Jovian Deflection Experiment"], "category": "nlin.SI math-ph math.CA math.MP", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Linear perturbations in a universe with a cosmological constant", "pos": ["On the Shape of the First Collapsed Objects"], "neg": ["The Revival of White Holes as Small Bangs", "Plasmon-Exciton Coupling Effect on Plasmon Damping", "How Users Explore Ontologies on the Web: A Study of NCBO's BioPortal\n  Usage Logs", "The covariance matrix of the potts model: A random cluster analysis", "Configurable Per-Query Data Minimization for Privacy-Compliant Web APIs", "Bilinear expansions of lattices of KP $\\tau$-functions in BKP\n  $\\tau$-functions: a fermionic approach", "The Universal Generating Function of Analytical Poisson Structures", "Applications of quantum Monte Carlo methods in condensed systems", "Study of the Kramers-Fokker-Planck quadratic operator with a constant\n  magnetic field", "xTras: a field-theory inspired xAct package for Mathematica", "Intersection of almost complex submanifolds", "Annealing schedule from population dynamics", "An Analytic Grothendieck Riemann Roch Theorem", "Complexity and cohomology of cohomological Mackey functors", "A Semi-Analytical Method for Calculating Revisit Time for Satellite\n  Constellations with Discontinuous Coverage", "Spectral Theory of Unsigned and Signed Graphs. Applications to Graph\n  Clustering: a Survey"], "category": "astro-ph gr-qc", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Hadron production in pA collisions at the LHC from the Color Glass\n  Condensate", "pos": ["Searching for Lepton Flavour (Universality) Violation and Collider\n  Signals from a Singly-Charged Scalar Singlet"], "neg": ["Anomaly detection in reconstructed quantum states using a\n  machine-learning technique", "Evidence for Non-Random Hydrophobicity Structures in Protein Chains", "A Borsuk-Ulam theorem for digital images", "Learning the ground state of a non-stoquastic quantum Hamiltonian in a\n  rugged neural network landscape", "A Random Matrix Approach to Differential Privacy and Structure Preserved\n  Social Network Graph Publishing", "AGNet: Weighing Black Holes with Deep Learning", "Towards automated patient data cleaning using deep learning: A\n  feasibility study on the standardization of organ labeling", "Intrinsically-limited timing jitter in molybdenum silicide\n  superconducting nanowire single-photon detectors", "Ionization of atoms by slow heavy particles, including dark matter", "Maxwell's equations in media as a contact Hamiltonian vector field and\n  its information geometry -- An approach with a bundle whose fiber is a\n  contact manifold", "Estimating country-specific space heating threshold temperatures from\n  national consumption data", "Agafonov's Proof of Agafonov's Theorem: A Modern Account and New\n  Insights", "Monotonicity of a relative R\\'enyi entropy", "Definable (co)homology, pro-torus rigidity, and (co)homological\n  classification", "Dynamical and Hamiltonian formulation of General Relativity", "Differential Expression Analysis of Dynamical Sequencing Count Data with\n  a Gamma Markov Chain", "Constraints on long range force from perihelion precession of planets in\n  a gauged $L_e-L_{\\mu,\\tau}$ scenario", "Deep image prior for 3D magnetic particle imaging: A quantitative\n  comparison of regularization techniques on Open MPI dataset", "Deep Learning for the Benes Filter", "Assessing the Causal Impact of COVID-19 Related Policies on Outbreak\n  Dynamics: A Case Study in the US"], "category": "hep-ph hep-ex nucl-ex nucl-th", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Topology of (some) tiling spaces without finite local complexity", "pos": ["A KAM theorem for generalized Hamiltonian systems without action-angle\n  variables"], "neg": ["Yet another proof of the Morse index theorem", "Convergence to the boundary for random walks on discrete quantum groups\n  and monoidal categories", "Computation with competing patterns in Life-like automaton", "Josephson-junction infrared single-photon detector", "Spectral Cross-Cumulants for Multicolor Super-resolved SOFI Imaging", "Modeling a Slicer Mirror Using Zemax User-Defined Surface", "The Universal Aspect Ratio of Vortices in Rotating Stratifi?ed Flows:\n  Experiments and Observations", "The Schottky Conjecture and beyond", "Noisy time series generation by feed-forward networks", "Return migration of German-affiliated researchers: Analyzing departure\n  and return by gender, cohort, and discipline using Scopus bibliometric data\n  1996-2020", "Quantum Spin probabilities at positive temperature are H\\\"older Gibbs\n  probabilities", "Computing zeta functions of large polynomial systems over finite fields", "Exact solutions of the (2+1) Dimensional Dirac equation in a constant\n  magnetic field in the presence of a minimal length", "SL(3|N) Wigner quantum oscillators: examples of ferromagnetic-like\n  oscillators with noncommutative, square-commutative geometry", "Exact Results for the Kuramoto Model with a Bimodal Frequency\n  Distribution", "Functional Control of Oscillator Networks", "Modeling the Adoption of Good Tech: Extending TAM3 to Incorporate the\n  Phenomenon of Warm-Glow"], "category": "math.DS math-ph math.MP", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Some remarks on twin groups", "pos": ["On metric relative hyperbolicity"], "neg": ["Electrostatic T-matrix for a torus on bases of toroidal and spherical\n  harmonics", "Classical Anthropic Everett model: indeterminacy in a preordained\n  multiverse", "Emergence and Synchronization in Chaotic Oscillators and in the Human\n  Cortical Network", "Modeling Cascading Failures in the North American Power Grid", "Phase transitions in anisotropic superconducting and magnetic systems\n  with vector order parameters: Three-loop renormalization-group analysis", "Nina Nikolaevna Uraltseva", "Broadband model-based inversion enables optoacoustic microscopy beyond\n  the acoustic diffraction limit", "Distinguishing resonance symmetries with energy-resolved photoion\n  angular distributions from ion-pair formation in O$_2$ following two-photon\n  absorption of a 9.3 eV femtosecond pulse", "Large-scale multilingual audio visual dubbing", "Liquid Cloud Storage", "Unsupervised seismic facies classification using deep convolutional\n  autoencoder", "Detecting Fast solvability of equations via small powerful Galois groups", "Approximating Holant problems by winding", "Information-theoretic thresholds from the cavity method", "Wound Healing Modeling Using Partial Differential Equation and Deep\n  Learning", "The Einstein-Jordan conundrum and its relation to ongoing foundational\n  research in local quantum physics", "Solution of the classical Yang--Baxter equation with an exotic symmetry,\n  and integrability of a multi-species boson tunneling model", "On the State of Computing in Statistics Education: Tools for Learning\n  and for Doing", "Hierarchical Graph Convolutional Networks for Semi-supervised Node\n  Classification", "Agile, Antifragile, Artificial-Intelligence-Enabled, Command and Control", "Universal patterns in sound amplitudes of songs and music genres", "Compound-tunable embedding potential method and its application to\n  fersmite crystal", "Asymptotic Normality of Scrambled Geometric Net Quadrature"], "category": "math.GR math.GT", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Non-adiabatic coupling and adiabatic population transfer in quantum\n  molecular systems", "pos": ["Total angular momentum representation for state-to-state quantum\n  scattering of cold molecules in a magnetic field"], "neg": ["Symplectic fermions and a quasi-Hopf algebra structure on $\\bar{U}_i\n  sl(2)$", "Loewner's Differential Equation and Spidernets", "Cosmology with a decaying vacuum", "Aggregation of Sub-mm Particles in Strong Electric Fields under\n  Microgravity Conditions", "Comparative analysis of the structures and outcomes of geophysical flow\n  models and modeling assumptions using uncertainty quantification", "DOLPHIn - Dictionary Learning for Phase Retrieval", "Applications of Finite Fields to Dynamical Systems and Reverse\n  Engineering Problems", "Analytic self-similar solutions of the Kardar-Parisi-Zhang interface\n  growing equation with various noise term", "Proximity-Aware Balanced Allocations in Cache Networks", "Local Moduli of Semisimple Frobenius Coalescent Structures", "Cavity ring-down spectroscopy of CO$_2$ near $\\lambda$ = 2.06 $\\mu$m:\n  Accurate transition intensities for the Orbiting Carbon Observatory-2 (OCO-2)\n  \"strong band\"", "A Nonlinear Evolution Equation in an Ordered Banach Space, Reconsidered", "Intrinsic scales for high-dimensional LEVY-driven models with\n  non-Markovian synchronizing updates", "SpaceHub: A high-performance gravity integration toolkit for few-body\n  problems in astrophysics", "How to choose which explanation to use with students? Discussing the\n  tensiometer with beginning teachers", "Graph Product Multilayer Networks: Spectral Properties and Applications", "Optimization with learning-informed differential equation constraints\n  and its applications", "Total nonnegativity of GCD matrices and kernels", "SN1987A: Revisiting the Data and the Correlation between Neutrino and\n  Gravitational Detectors", "Hecke operators and analytic Langlands correspondence for curves over\n  local fields", "Green Application Placement in the Cloud-IoT Continuum", "Structured Filtering"], "category": "physics.chem-ph physics.atom-ph", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Emergence of Haldane pseudo-potentials in systems with short-range\n  interactions", "pos": ["A Hamiltonian Approach for Obtaining Irreducible Projective\n  Representations and the $k\\cdot p$ Perturbation for Anti-unitary Symmetry\n  Groups"], "neg": ["How Likely Are Large Elections Tied?", "Collisional cooling of light ions by co-trapped heavy atoms", "jVMC: Versatile and performant variational Monte Carlo leveraging\n  automated differentiation and GPU acceleration", "Contrast Enhancement of Binary Star System Using an Optical Vortex\n  Coronagraph", "Cover Story Management", "Primitive point packing", "Matrix Tile Analysis", "Berry Phase in Neutrino Oscillations", "Tunable quantum logic gate on photonic qubits with a ladder emitter", "Inherent Stochastic Linearization of Random Laser Modes", "Exact scaling in the expansion-modification system", "Poincare isomorphism in K-theory on manifolds with edges", "Improved test of Lorentz Invariance in Electrodynamics using Rotating\n  Cryogenic Sapphire Oscillators", "Large Batch Simulation for Deep Reinforcement Learning", "Solving Polynomial Systems by Penetrating Gradient Algorithm Applying\n  Deepest Descent Strategy", "MARS: Middleware for Adaptive Reflective Computer Systems", "Matching with Text Data: An Experimental Evaluation of Methods for\n  Matching Documents and of Measuring Match Quality", "Phase retrieval for wide-band signals", "Sparsity Preserving Algorithms for Octagons", "On unique continuation for solutions of the Schr{\\\"o}dinger equation on\n  trees", "Robust Binary Neural Network Operation from 233 K to 398 K via Gate\n  Stack and Bias Optimization of Ferroelectric FinFET Synapses"], "category": "math-ph cond-mat.str-el math.MP", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Noncommutative generalizations of theorems of Cohen and Kaplansky", "pos": ["Prime Principal Right Ideal Rings"], "neg": ["A small-world of weak ties provides optimal global integration of\n  self-similar modules in functional brain networks", "Solving the radial Dirac equations: a numerical odyssey", "Social cohesion V.S. task cohesion: An evolutionary game theory study", "Learning to Locomote with Deep Neural-Network and CPG-based Control in a\n  Soft Snake Robot", "Inverse Design and Experimental Verification of a Bianisotropic\n  Metasurface Using Optimization and Machine Learning", "Self-Supervised Graph Representation Learning via Topology\n  Transformations", "Fast and Scalable Image Search For Histology", "Rips complexes as nerves and a Functorial Dowker-Nerve Diagram", "Application of gradient descent algorithms based on geodesic distances", "How Developers Iterate on Machine Learning Workflows -- A Survey of the\n  Applied Machine Learning Literature", "Social Information Processing in Social News Aggregation", "Algebraic structures connected with pairs of compatible associative\n  algebras", "Solving 1ODEs with functions", "The dynamics of the HIV infection: a time-delay differential equation\n  approach", "Besov spaces in multifractal environment and the Frisch-Parisi\n  conjecture", "Logic Learning in Hopfield Networks", "Exact model comparisons in the plausibility framework", "A Multiscale Kinetic-Fluid Solver with Dynamic Localization of Kinetic\n  Effects", "Quantum dynamics of the avian compass"], "category": "math.RA math.AC", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Interplay between Kondo physics and spin-orbit coupling in carbon\n  nanotube quantum dots", "pos": ["Dirac's method for constraints - an application to quantum wires,the 0.7\n  conductance anomaly"], "neg": ["\"Building\" exact confidence nets", "HMC, an Algorithms in Data Mining, the Functional Analysis approach", "Ansatz for the Jahn-Teller triplet instability", "Distributed Submodular Maximization", "PhasePack User Guide", "Position sensitive resonant Schottky cavities for heavy ion storage\n  rings", "Higher-order effects in the dynamics of hierarchical triple systems.\n  Quadrupole-squared terms", "Stochastic Minority on Graphs", "Active learning using weakly supervised signals for quality inspection", "On zeros of self-reciprocal polynomials", "Infinite Dimensional Multipliers and Pontryagin Principles for\n  Discrete-Time Problems", "Is the atomic metal vapor a dielectric state?", "Control of chaotic systems by Deep Reinforcement Learning", "The symmetry structure of the heavenly equation", "Tensor computations in computer algebra systems", "Asynchronous Decentralized Federated Learning for Collaborative Fault\n  Diagnosis of PV Stations", "On the Critical Coupling of the Finite Kuramoto Model on Dense Networks", "PageRank for evolving link structures", "Conley-Morse-Forman theory for generalized combinatorial multivector\n  fields on finite topological spaces"], "category": "cond-mat.str-el cond-mat.mes-hall", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
{"query": "Quantum Inverse Scattering Method and (Super)Conformal Field Theory", "pos": ["Rigidity and defect actions in Landau-Ginzburg models"], "neg": ["Generalized elimination of the global translation from explicitly\n  correlated Gaussian functions", "Sparse Recovery With Non-Linear Fourier Features", "Pricing in Social Networks with Negative Externalities", "Inferring the size of the causal universe: features and fusion of causal\n  attribution networks", "Tracking Attosecond Electronic Coherences Using Phase-Manipulated\n  Extreme Ultraviolet Pulses", "Building fast Bayesian computing machines out of intentionally\n  stochastic, digital parts", "The Gerrymandering Jumble: Map Projections Permute Districts'\n  Compactness Scores", "Embedding Symbolic Knowledge into Deep Networks", "Solar and planetary oscillation control on climate change: hind-cast,\n  forecast and a comparison with the CMIP5 GCMs", "Lagrangian shadows of ample algebraic divisors", "Surgery on Lagrangian and Legendrian Singularities", "Distributed Processing for Encoding and Decoding of Binary LDPC codes\n  using MPI", "Satisfiability Modulo ODEs", "Categorial Minimalist Grammar", "Three-Dimensional Lattice Boltzmann Model for High-Speed Compressible\n  Flows", "QNLP in Practice: Running Compositional Models of Meaning on a Quantum\n  Computer", "The word problem for free adequate semigroups", "Bose-Einstein condensation of magnons in spin pumping systems", "Regularity Normalization: Neuroscience-Inspired Unsupervised Attention\n  across Neural Network Layers", "Gluon Transport Equations with Condensate in the Small Angle\n  Approximation", "The evolution of Jordan curves on $\\mathbb{S}^2$ by curve shortening\n  flow"], "category": "hep-th math-ph math.MP math.QA", "prompt": "Identify the main and secondary category of Arxiv papers based on the titles.", "type": "symmetric_clustering"}
