New string and D2-brane models improve financial market trend forecasting.
problem Improving time series forecasting for financial markets.
method Introducing string and D2-brane models to analyze currency rates and their stability.
result New models enhance the accuracy of time series forecasting for currency exchange pairs.
The paper simplifies string topology computations using Hochschild chain models.
problem Computing string topology operations efficiently.
method Hochschild chain models to simplify proofs and computations.
result New observations and detection of closed geodesics.
BOSS optimizes string inputs using string kernels and genetic algorithms.
problem Optimizing string inputs with constraints.
method Bayesian optimization over string kernels and genetic algorithms.
result Significantly improved optimization across various string constraints.
New smooth models for string groups defined in ∞-categories.
problem Defining string group models in smooth spaces.
method Homotopy-theoretic definition using singular complex functor.
result New smooth models for the string group.
Derives path integrals for perturbative strings on various backgrounds.
problem Calculating path integrals for strings on curved backgrounds.
method Derives path integrals from string geometry theory by considering fluctuations around string backgrounds.
result Derives path integrals of all order perturbative strings on various backgrounds.
New string GPs kernels model nonstationary data.
problem Modeling nonstationary data with multiple local patterns.
method String Gaussian processes with nonstationary kernels.
result String GPs outperform other models on real data.
Topological string theory derived from string geometry for non-perturbative effects.
problem Deriving non-perturbative effects in string theory.
method Formulating topological string geometry theory and deriving the partition function from fluctuations around a classical solution.
result Perturbative partition function of topological string theory derived.
Identifies all perturbative vacua in bosonic string theory.
problem Identifying all perturbative vacua in bosonic string theory.
method Completely identified perturbative vacua through string fluctuations.
result Derivation of path-integrals up to any order from fluctuations.
End-to-end solution for recognizing handwritten numerals, avoiding traditional preprocessing steps.
problem Handwritten numeral string recognition with traditional preprocessing steps.
method YoLo-based model for automatic detection and recognition, avoiding heuristic-based preprocessing and segmentation.
result Proposed method reduces complexity and is a feasible end-to-end solution for numeral string recognition.
SELFIES solves molecular string representation weaknesses for material design.
problem Weaknesses in SMILES for representing valid molecules in material design.
method Introducing SELFIES, a 100% robust string-based molecular representation.
result SELFIES strings correspond to valid molecules, allowing arbitrary machine learning applications.
Describes higher gauge theory on string 2-group principal 2-bundles.
problem Formalizing higher gauge theory on string 2-group principal 2-bundles.
method Constructs categories internal to Bibun to define principal 2-bundles with string 2-group as structure 2-group, Lie-differentiates the string 2-group model, finds Maurer-Cartan forms, and generalizes the differentiation process.
result Describes kinematical data of higher gauge theory on string 2-group principal 2-bundles, including their gauge symmetries.
New string singularities enable quantum teleportation of massive particles.
problem Quantum teleportation of massive particles at large distances.
method Introduction of new world-sheet string singularities (cusps) that are stable and allow for the emission of captured massive quantum particles.
result Existence of a new mechanism for quantum teleportation of massive particles.
String geometry theory connects strings to space-time and finds string vacua.
problem Identify and find the global minimum of the string vacuum.
method Identify perturbative vacua, derive path-integrals, and solve the global minimum using analytical and numerical methods.
result The global minimum of the effective potential is the string vacuum.
STRING improves 2D and 3D position encodings for better performance.
problem Efficient and accurate position encoding for 2D and 3D applications.
method STRING extends Rotary Position Encodings with a unifying theoretical framework, maintaining translation invariance and low computational cost.
result STRING shows substantial gains in open-vocabulary object detection and robotics.
Paper trains models to resist string transformations.
problem Vulnerability of NLP models to adversarial string transformations.
method Combines search and abstraction techniques for robust training.
result Trained models resist combinations of user-defined transformations.
Constructs a representation of the string 2-group on a von Neumann algebra.
problem Establishing a categorified spinor representation of the string 2-group.
method Using the Morita bicategory of von Neumann algebras, specifically the hyperfinite type III_1 factor.
result Demonstrates a categorification of the spinor representation.
The paper constructs a model for the string 2-group using the free loop group.
problem The string 2-group lacks a strict Lie-2-group model with circle group action.
method Using the free loop group LSpin (or LG), the paper constructs a coherent model for the string 2-group with explicit formulas. result There are obstructions for constructing a strict model for the string 2-group using the free loop group.
A De Rham model for string topology based on the theory of iterated integrals is presented.
Derives path-integrals for superstrings on curved backgrounds using string geometry theory.
problem Calculating path-integrals for superstrings on curved backgrounds.
method Derives path-integrals from string geometry theory by considering fluctuations around string backgrounds.
result Derives path-integrals for perturbative superstrings on all string backgrounds.
This paper classifies virtual string links up to cobordism using group theory.
problem Classifying virtual string links up to cobordism.
method Using group theory, specifically the group Zn(n−1). result Virtual string links up to cobordism are classified by elements of Zn(n−1). STANCE learns string similarity using optimal transport alignment.
problem Computing similarity between strings for record linkage and entity resolution.
method Character encoding, optimal transport alignment, convolutional neural network scoring.
result STANCE outperforms state-of-the-art models on alias detection datasets.
Chiral string integrands simplify to ambitwistor string integrands in the tensionless limit.
problem Understanding the relationship between chiral and ambitwistor string integrands.
method Analyzing the tensionless limit of chiral superstring integrands.
result Chiral superstring integrands reduce to ambitwistor string integrands in the tensionless limit.
String-net models explore non-spherical fusion categories, revealing new spin structures and representations.
problem Investigating string-net models in non-spherical fusion categories.
method String-net models associate vector spaces to surfaces in terms of graphs decorated by objects and morphisms of a pivotal fusion category.
result String-net spaces count r-spin structures and carry representations of the mapping class group.
Extends string-net theory to 3D TQFT via surface graphs and surgery.
problem Formulate 3D TQFT using string-net theory.
method Extend string-net construction to 3D TQFT using surface graphs and surgery.
result Alternative description of Turaev-Viro model using string-nets.
We synthesize and extend the previous ideas about appearance of both noncommutative and Finsler geometry in string theory with nonvanishing B--field and/or anholonomic (super) frame structures \cite{vstring,vstr2,vnonc,vncf}. There are investigated the limits to the Einstein gravity and string generalizations containin…
New string kernels discover global properties through random feature maps, avoiding quadratic complexity.
problem Existing string kernels struggle with capturing long patterns, maintaining positive definiteness, and handling large datasets efficiently.
method Proposes a new class of global string kernels using random feature maps to discover global properties through global alignments, ensuring positive definiteness and linear computational cost.
result Random String Embeddings (RSE) achieve better or comparable accuracy to state-of-the-art methods, especially for longer strings.
We construct a model for the string group as an infinite-dimensional Lie group. In a second step we extend this model by a contractible Lie group to a Lie 2-group model. To this end we need to establish some facts on the homotopy theory of Lie 2-groups. Moreover, we provide an explicit comparison of string structures f…
New approach to Poisson-Lie T-duality for string effective actions, solving dilaton puzzle.
problem Complexity of Poisson-Lie T-duality in string effective actions due to dilaton field.
method Use of Levi-Civita connections on Courant algebroids to derive formulas for Poisson-Lie T-dual dilaton fields.
result Derivation of formulas for Poisson-Lie T-dual dilaton fields, providing new Poisson-Lie T-duality for string effective actions.
A virtual string can be defined as an equivalence class of planar diagrams under certain kinds of diagrammatic moves. Virtual strings are related to virtual knots in that a simple operation on a virtual knot diagram produces a diagram for a virtual string. In this paper we consider three operations on a virtual string …
A virtual string is a scheme of self-intersections of a closed curve on a surface. We study algebraic invariants of strings as well as two equivalence relations on the set of strings: homotopy and cobordism. We show that the homotopy invariants of strings form an infinite dimensional Lie group. We also discuss connecti…
String theory connects lattice models, links, and geometric Langlands.
problem Connecting lattice models, links, and geometric Langlands.
method T-duality and worldvolume theories in string theory.
result Unified understanding of various mathematical concepts.
Constructs 8D manifolds from Calabi-Yau fibrations in string theory.
problem Realizing 8D non-Kahler manifolds in string theory.
method Non-trivial T^4 fibrations over Calabi-Yau 2-folds.
result Constructs eight-dimensional non-Kahler Hermitian manifolds.
Research extends Cahn's results on virtual strings to connected non-parallel strings.
problem Understanding the homotopy of virtual strings and their minimal representatives.
method Generalization of Cahn's results using stabilizations, destabilizations, and homotopies.
result Kadokami's statement about virtual strings holds for connected non-parallel strings but not for all strings.
Reformulates compatibility condition for generalized metrics in string theory.
problem Compatibility condition between generalized metrics and Dirac structures.
method Formulated using two connections in Dirac-geometric terms.
result Transverse generalized metric needed for string theory dynamics.
New methods encode high-cardinality string variables efficiently.
problem Efficient encoding of high-cardinality string categorical variables.
method Two approaches: Gamma-Poisson matrix factorization and min-hash encoder.
result Improves supervised learning with high-cardinality categorical variables.
New formulas link string bordism to integers.
problem Understanding the third string bordism group.
method Geometric string structures and 3d TQFT.
result Integral formulas realize the string bordism isomorphism.
There is an interpretation of open string field theory in algebraic topology. An interpretation of closed string field theory can be deduced from this open string theory to obtain as well the interpretation of open and closed string field theory combined.
We define a new geometric framework for string theory.
problem String theory and its symmetries.
method Para-Hermitian geometry and Born geometry.
result A geometric interpretation of string theory symmetries.
Extended Alexander groups are used to define an invariant for open virtual strings. Examples of non-commuting open strings and a ribbon-concordance obstruction are given. An example is given of a slice virtual open string that is not ribbon. Definitions are extended to open n-strings.
Introduces holomorphic string algebroids and classifies them.
problem Classifying holomorphic string algebroids.
method Using Courant extensions and inner morphisms of holomorphic Courant algebroids.
result Classification of string algebroids via Cech cohomology.
In the paper, we study numerically the projections of the real exchange rate dynamics onto the string-like topology. Our approach is inspired by the contemporary movements in the string theory. The string map of data is defined here by the boundary conditions, characteristic length, real valued and the method of redist…
The paper calculates minimum crossing numbers for essential tangles.
problem Finding the minimum number of crossings in essential tangles.
method Computational analysis of tangles with string components.
result Characterization of tangles with minimum crossing numbers.
Study knot diagrams on a sphere without vertical lines, focusing on minimal crossings.
problem Understanding minimal crossings of knot diagrams on a punctured sphere.
method Mathematical model of string figures using knot diagrams on xyz-space with missing vertical lines, analyzing minimal crossings under Reidemeister moves. result Minimal number of crossings of knot diagrams on a punctured sphere.
String topology coproduct and Turaev cobracket computed for surfaces.
problem Computing string topology coproduct and cobracket for surfaces.
method Algorithm to compute coproduct of cyclic words in terms of generators of the fundamental group.
result String cobracket is the negative of Turaev cobracket.
Review of non-abelian gerbes and their applications in string theory.
problem Anomaly cancellation and geometric description of T-duals in string theory.
method Systematic construction of non-abelian gerbes via descent.
result Extension of non-abelian gerbes to orientifold sigma models and T-duals.
Develops equivariant bundle gerbes for sigma models.
problem Descent problems and equivariance for bundle gerbes.
method Theory of simplicial extensions for bundle gerbes.
result Shows equivariant bundle gerbes for conjugation and String 2-group actions.
Machine learning identifies string models with correct gauge groups and chiral asymmetry.
problem Identifying string models with correct gauge groups and chiral asymmetry.
method Supervised and unsupervised learning of neural networks and auto-encoders.
result Small neural networks can distinguish correct models from random ones.
We present a finite-dimensional and smooth formulation of string structures on spin bundles. It uses trivializations of the Chern-Simons 2-gerbe associated to this bundle. Our formulation is particularly suitable to deal with string connections: it enables us to prove that every string structure admits a string connect…