First place solution for cross-device user matching in online advertising.
problem Identifying same users across multiple devices from browsing logs.
method Pairwise classification using unsupervised neural feature ensemble and supervised classifiers.
result Improved accuracy in cross-device user matching compared to traditional methods.
Study cup products on CAT(0) cube complexes, proving quasimorphisms' vanishing results.
problem Understanding cup products in higher bounded cohomology groups.
method Extending vanishing results from Brooks quasimorphisms to median quasimorphisms on CAT(0) cube complexes.
result Vanishing results for cup products of median quasimorphisms on CAT(0) cube complexes.
CupNet prunes neural nets for cup-shaped data.
problem Pruning neural networks for cup-shaped data.
method Used simulated cup drawing data to prune a neural network.
result Pruning effectively reduces network size for cup-shaped data.
Vanishing cup product of Brooks quasimorphisms proved.
problem Vanishing cup product of Brooks quasimorphisms.
method Vanishing of the square of a universal class for tree automorphism groups.
result Vanishing cup product of Brooks quasimorphisms.
Let two Heegaard splittings V1∪W1 and V2∪W2 of a 3-manifold M be given. We consider the union stabilization M=V∪W which is a common stabilization of V1∪W1 and V2∪W2 having the property that V=V1∪V2. We show that any two Heegaard splittings of a 3-manifold have a uni…
Formula for computing triple-cup product from Heegaard diagrams of 3-manifolds.
problem Computing the triple-cup product invariant of 3-manifolds.
method Explicit formula from Heegaard diagrams and reduction of Turaev's homotopy intersection form.
result Triple-cup product can be recovered from Heegaard diagrams and Turaev's form.
New method compares geometric and standard cup products.
problem Reconciling partially defined and fully defined cochain products.
method Vector field flow through cubulation to compare products.
result Explicit cochain level comparison between intersection and cup products.
This work improves optic disc and cup segmentation for glaucoma detection.
problem Automatic segmentation of optic disc and cup on eye fundus images for glaucoma diagnosis.
method Modification of U-Net convolutional neural network.
result Our method achieves comparable quality to state-of-the-art methods, with faster prediction times.
Relative cup-length defined for non-Morse functions on manifolds.
problem Defining a lower bound on critical points of non-Morse functions.
method Using local Morse cohomology and cohomology of isolating neighborhoods.
result A lower bound on critical points stronger than absolute cup-length.
The paper shows how to transform certain 3-manifold Heegaard splittings into simpler forms.
problem Weakly reducible Heegaard splittings with limited compression disks.
method Untelescoping of Heegaard splittings to simplify structures.
result Transformed splittings have fewer compression disks and clearer structures.
Let T be a separating incompressible torus in a 3-manifold M. Assuming that a genus g Heegaard splitting V∪SW can be positioned nicely with respect to T (e.g. V∪SW is strongly irreducible), we obtain an upper bound on the number of stabilizations required for V∪SW to become isotopic to a…
A hybrid machine learning model predicts soccer match scores for FIFA Women's World Cups.
problem Forecasting soccer match scores for FIFA Women's World Cups.
method Combining bookmaker consensus and team strength parameters in a random forest model.
result The model favors the defending champion USA over the host France.
ICML workshop on making machine learning models more understandable.
problem Making machine learning models more understandable to humans.
method Various presentations and discussions on interpretability.
result Increased awareness and discussion on model interpretability.
Our main result offers a new (quite systematic) way of deriving bounds for the cup-length of Poincare spaces over fields; we outline a general research program based on this result. For the oriented Grassmann manifolds, already a limited realization of the program leads, in many cases, to the exact values of the cup-le…
It follows from a theorem of Gromov that the stable systolic category of a closed manifold is bounded from below by the rational cup-length of the manifold. In the paper we study the inequality in the opposite direction. In particular, combining our results with Gromov's theorem, we prove the equality of stable systoli…
Let M=H+∪SH− be a genus g Heegaard splitting with Heegaard distance n≥κ+2: (1) Let c1, c2 be two slopes in the same component of ∂−H−, such that the natural Heegaard splitting Mi=H+∪S(H−∪ci2−handle) has distance less than n, then the distance…
Uniform criterion for vanishing products in bounded cohomology.
problem Vanishing of cup products and Massey products in bounded cohomology.
method Uniform vanishing criterion for products in bounded cohomology.
result Reproved and extended previous vanishing results.
Proves cup product homomorphism for bounded cohomology on negatively curved manifolds.
problem Understanding cup product behavior in bounded cohomology.
method Analyzes map Ψ* associating closed forms to bounded cohomology classes via integration.
result Proves Ψ* preserves cup product in sufficiently high degrees.
New trilinear form invariant for hyperbolic or malnormal knots.
problem Invariants for hyperbolic or malnormal knots.
method Introduce a trilinear form as a topological invariant.
result Trilinear form equals the pairing of the (twisted) triple cup product and the fundamental relative 3-class.
Paper tackles depth estimation and optic disc-cup segmentation from color fundus images.
problem Depth estimation and optic disc-cup segmentation from color fundus images.
method Uses fully convolutional networks for monocular retinal depth estimation and optic disc-cup segmentation.
result Demonstrates improved accuracy in depth estimation and optic disc-cup segmentation.
Study shows exact forms in bounded cohomology are in radical of cup product.
problem Understanding bounded cohomology of negatively curved manifolds.
method Integrating 2-forms over simplices to define bounded cocycles and studying cup products.
result Exact forms in bounded cohomology are in the radical of the cup product.
Extends Gromov's optimal systolic inequality to manifolds with specific cohomology properties.
problem Finding optimal systolic inequalities for manifolds with complex cohomology structures.
method Extends Gromov's inequality to manifolds with fundamental cohomology classes as cup products of 2-dimensional classes.
result Provides an optimal systolic inequality for a new class of manifolds.
Geometrically interprets cup products and defines combinatorial Pin structures.
problem Understanding Steenrod's cup products and their geometric interpretation.
method Constructs vector fields and combinatorial frames to interpret cochain-level formulas.
result Geometrically interprets cup products and defines Pin structures combinatorially.
Fan tokens surged before World Cup matches, but declined during them, revealing cognitive biases.
problem Analyzing the impact of FIFA World Cup matches on fan tokens.
method Event study and intraday analysis of blockchain-based fan tokens.
result Fan tokens experienced a surge in returns six months before the World Cup, followed by a decline during the matches, revealing asymmetries in performance.
New invariant connects virtual and classical linking numbers.
problem Linking numbers and virtual links.
method Introducing a quandle invariant Qtc(L) that preserves linking properties. result Invariant Qtc(L) is a quandle invariant that preserves linking properties. Workshop on making machine learning models understandable for complex systems.
problem Making machine learning models understandable for complex systems.
method Not specified in the abstract.
result Not specified in the abstract.
Geometrically describes polygon space cohomology rules.
problem Understanding cohomology of polygon spaces.
method Two geometrically meaningful presentations of cup product rules.
result Simple rules for cup product in polygon spaces.
Corrects conditions in Fissler and Ziegel's 2016 paper.
problem Clarifying conditions in Fissler and Ziegel's 2016 paper.
method None, as it is a correction of existing results.
result Corrects conditions in Proposition 3.4 and Theorem 5.2(ii) of Fissler and Ziegel (2016).
We construct cup and cap products in intersection (co)homology with field coefficients. The existence of the cap product allows us to give a new proof of Poincare duality in intersection (co)homology which is similar in spirit to the usual proof for ordinary (co)homology of manifolds.
We give a complete calculation of the infinity flavor of Heegaard Floer homology with mod 2 coefficients for all three-manifolds and torsion Spin^c structures. The computation agrees with the conjectured calculation of Ozsvath and Szabo. This therefore establishes an isomorphism with Mark's cup homology mod 2.
Extended systolic inequality for 2-complexes to improve group systolic area bounds.
problem Improving bounds on systolic area of various groups.
method Extended systolic inequality for piecewise Riemannian 2-complexes.
result Improved universal lower bound for systolic area of many groups.
The paper connects cup products in surface bundles to cohomology of mapping class groups.
problem Computing cup products in surface bundles and their relation to cohomology.
method Using N. Kawazumi's MMM classes and higher Johnson invariants.
result The MMM classes can compute cup products in surface bundles and extend higher Johnson invariants.
We obtain a classification up to isomorphism of complex-analytic supermanifolds with underlying space CP1 of dimension 1∣3 with retract (k,k,k), where k∈Z. More precisely, we prove that classes of isomorphic complex-analytic supermanifolds of dimension 1∣3 with retract (k,k,k) are in o…
The valence of a function f at a point w is the number of distinct, finite solutions to f(z)=w. Let f be a complex-valued harmonic function in an open set R⊆C. Let S denote the critical set of f and C(f) the global cluster set of f. We show that f(S)∪C(f) partitions the com…
Identifies a mod-p triple cup product for rational homology 3-spheres with specific first homology.
problem Locally flat embeddings in S4 for rational homology 3-spheres method Using triple torsion linking form and torsion-linking duality
result Identifies the mod-p triple cup product for specific rational homology 3-spheres Embeddings of high-dimensional spheres force links with specified divisibility.
problem Embeddings of high-dimensional spheres in Euclidean space.
method Analyzing linking numbers of specified divisibility for embeddings of KNn in R2n+1. result Existence of links with specified divisibility in high-dimensional embeddings.
Adding an unknot to any link equals its bridge number and meridional rank.
problem Proving the Meridional Rank Conjecture for any link.
method Embedding an unknot in a link's complement to achieve the conjecture and proving it for new families of links.
result Bridge numbers and meridional ranks are equal for any link and its unknot.
Generalizes group cohomology and holonomy Lie algebra computations.
problem Computing cup-products and holonomy Lie algebras for arbitrary groups.
method Explicit formula for cup-products, Magnus expansion method for holonomy Lie algebras.
result Explicit formula for cup-products in cohomology of 2-complexes.
Study recovers knot invariants from 3-manifold pairings.
problem Recovering knot invariants from 3-manifold pairings.
method Bilinear cup products with local coefficients of closed 3-manifolds.
result Diagrammatic computations of twisted pairings and signatures.
Study distance and intersection number in curve graphs of surfaces.
problem Understanding the relationship between distance and intersection number in curve graphs of surfaces.
method Introduced efficient geodesics and studied rectangles called spirals in the cellular decomposition.
result Developed an algorithm to reduce intersection number while preserving distance.
Suppose M1 and M2 are two special Lagrangian submanifolds of $\Rtn$ with boundary that intersect transversally at one point p. The set M1∪M2 is a singular special Lagrangian variety with an isolated singularity at the point of intersection. Suppose further that the tangent planes at the interse…
New operations match Steenrod squares on Khovanov homology.
problem Matching Steenrod squares with operations on Khovanov homology.
method Applied cup-i products to Khovanov functor and proved agreement with Steenrod squares.
result Lipshitz-Sarkar's Sq^2 agrees with Morán's sq^2.
The heights of Alexandroff square transformation groups are computed and proven.
problem Computing possible heights of Alexandroff square transformation groups.
method Analyzing the heights of transformation groups for Alexandroff square, unit square with lexicographic order, and unit square with Euclidean topology.
result Proven heights for transformation groups of Alexandroff square, unit square with lexicographic order, and unit square with Euclidean topology.
Two deep neural network models forecast correlated time series data.
problem Forecasting correlated time series data in cyber-physical systems.
method Combines CNNs and RNNs for forecasting, with additional auto-encoders for multi-task learning.
result Proposed models outperform baselines in most settings on real-world data.
There is a growing interest in using a longitudinal observational databases to detect drug safety signal. In this paper we present a novel method, which we used online during the OMOP Cup. We consider homogeneous ensembling, which is based on random re-sampling (known, also, as bagging) as a main innovation compared to…
Diagrammatic method calculates knot pairings in 3-sphere.
problem Computing knot pairings in 3-sphere.
method Diagrammatic computation of bilinear forms.
result Constructs bilinear forms on twisted Alexander modules.
Given two points on a soup can or conical cup with lid, we find and classify all paths of minimal length connecting them. When the number of minimal paths is finite, there are at most four on a can and three on a cup. At worst, minimal paths are piece-wise smooth with three components, each of which is a classical geod…
New result on symplectomorphisms on surfaces, showing vanishing cup product of fluxes.
problem Understanding commuting symplectomorphisms on surfaces.
method Refinement of non-extendability result for Py's Calabi quasimorphism.
result Vanishing cup product of fluxes for commuting symplectomorphisms.