New method transplants specific neural networks into generic ones.
problem Learning massive tasks and categories requires collecting samples for all at once.
method Designing a functionally interpretable generic network and transplanting specific modules.
result Generic network can learn new categories without sample annotations.
New method transplants specific neural networks to generic ones without training samples.
problem Learning massive tasks and categories requires collecting samples for all at once.
method Designs a functionally interpretable generic network and uses back-distillation for transplanting.
result Method without training samples outperforms with 100 samples.
We say that a germ G of a geometric structure can be transplanted into a manifold M if there is a suitable geometric structure on M which agrees with G on a neighborhood of some point P of M. We show for a wide variety of geometric structures that this transplantation is always possible provided that M does in fact adm…
Paper develops a model to predict kidney transplant success.
problem Mismatched deceased donor-recipient kidney leads to post-transplant death.
method Data analysis of 584 imported kidneys from 12 transplant centers.
result Predicting model reduces mortality rate due to kidney mismatch.
Machine learning improves kidney transplant outcomes prediction.
problem Improving prediction of kidney transplant success.
method Random forest machine learning model trained on kidney donor risk index data.
result Random forest predicted 2,148 more successful transplants than the risk index.
Paper learns data-driven organ matching rules from observational data.
problem Tackles organ transplantation compatibility using observational data.
method Representation learning to cluster donors and apply recipient transformations.
result Model outperforms human experts in predicting transplant outcomes.
Background: Many authors have described MELD as a predictor of short-term mortality in the liver transplantation waiting list. However MELD score accuracy to predict long term mortality has not been statistically evaluated. Objective: The aim of this study is to analyze the MELD score as well as other variables as a pr…
John Conway created pairs of domains that sound the same for a special kind of music.
problem Creating domains that sound the same for a special kind of music.
method Using his theory of quilts, Conway developed pairs of glueing diagrams.
result Conway's pairs of domains are isospectral for the Laplace operator.
We study isospectrality for manifolds with mixed Dirichlet-Neumann boundary conditions and express the well-known transplantation method in graph- and representation-theoretic terms. This leads to a characterization of transplantability in terms of monomial relations in finite groups and allows for the generating of ne…
Liver transplant patients have a 25% chance of developing diabetes within 5 years.
problem Predicting new onset diabetes after liver transplant to improve patient care.
method Comparison of time-to-event prediction models and classifiers, including regularized Cox proportional-hazards model.
result Regularized Cox proportional-hazards model achieved high Concordance Index of 0.863.
New method classifies patients with kidney transplant based on many features.
problem Classifying patients with many features (ultrahigh-dimensional data).
method Multivariate screening and classification method leveraging feature correlations.
result Achieves optimal misclassification rates and more powerful discovery.
Method learns evolving policies in healthcare contexts.
problem Understanding non-stationary behavior in evolving decision-making processes.
method Inverse Contextual Bandits (ICB) approach for learning interpretable representations of non-stationary behavior.
result Demonstrated applicability and accuracy of ICB method in liver transplantation policies.
Paper uses deep reinforcement learning for personalized medical treatment recommendations.
problem Personalized treatment recommendations for medical conditions.
method Deep reinforcement learning framework for dynamic treatment regimes.
result Demonstrated promising accuracy in predicting expert decisions and expected rewards.
New method for finding optimal treatment regimes in medical settings with time-varying unobserved factors.
problem Finding optimal treatment regimes in medical settings with time-varying unobserved factors.
method Extend Dynamic Treatment Regimes (DTRs) to Ambiguous Dynamic Treatment Regimes (ADTRs), connect to Ambiguous Partially Observable Mark Decision Processes (APOMDPs), and develop Reinforcement Learning methods.
result Established theoretical results for learning methods, including consistency and asymptotic normality.
We prove that C. Loewner's inequality for the torus is satisfied by all hyperelliptic surfaces X, as well. We first construct the Loewner loops on the (mildly singular) companion tori, locally isometric to X away from the Weierstrass points. The loops are then transplanted to X, and surgered to obtain a Loewner loop on…
The paper finds an upper bound for the first eigenvalue of the Kohn-Laplace operator in the Heisenberg group.
problem Finding an upper bound for the first eigenvalue of the Kohn-Laplace operator in the Heisenberg group.
method Using harmonic transplantation and harmonic radius, the paper extends P.Pansu's results to give an upper bound for the first eigenvalue of the Dirichlet problem.
result The first eigenvalue is bounded by a function of the domain's volume, perimeter, and harmonic radius.
Local discovery method uncovers direct unfairness in complex systems.
problem Identifying causal pathways of unfairness in complex domains.
method Local discovery for direct discrimination (LD3) method.
result LD3 returns a valid adjustment set (VAS) for assessing unfairness.
Paper presents an ensemble model for predicting readmission using clinical notes.
problem Limited use of clinical notes in predicting readmission due to their unstructured nature.
method Ensemble model combining vector space modeling and topic modeling.
result Improves readmission prediction by 0.0211 in c-statistics.
The paper introduces methods to analyze community data using diffusion Frechet functions.
problem Analyzing complex ecosystems and their interactions.
method Developed methods for modeling and analyzing the organization of complex data across spatial scales.
result Introduced diffusion Frechet functions and vectors for robustly describing the shapes of probability distributions.
Introduction. Case Based Reasoning (CBR) is an emerg- ing decision making paradigm in medical research where new cases are solved relying on previously solved similar cases. Usually, a database of solved cases is provided, and every case is described through a set of attributes (inputs) and a label (output). Extracting…
New energy measure for isolated systems in general relativity.
problem Quantifying energy in isolated systems in general relativity.
method Optimal isometric embedding and conformal Killing fields.
result Finite quasi-local energies for asymptotically flat spacetimes.
Given a hyperelliptic Klein surface, we construct companion Klein bottles, extending our technique of companion tori already exploited by the authors in the genus 2 case. Bavard's short loops on such companion surfaces are studied in relation to the original surface so to improve a systolic inequality of Gromov's. A ba…
The paper examines how macroeconomic control tools lost effectiveness, leading to a 'dark ages' period.
problem Loss of effectiveness of control tools in macroeconomic stabilization policy.
method Historical analysis of macroeconomic stabilization policy from 1948 to 1993.
result The overstatement of the Lucas critique and Kydland and Prescott's time-inconsistency led to a period of ineffective stabilization policy.
New categories for surfaces link to contact geometry.
problem Understanding contact structures on surfaces.
method Associate differential graded categories to surfaces.
result Homotopy category of these categories is triangulated.
Studies amenable category's monotonicity and its relation to topological complexity.
problem Monotonicity of amenable category for degree-one maps.
method Uses amenable covers and compares with topological complexity.
result Establishes a relation between amenable category and topological complexity.
Innovative 2-categories create 4-manifold invariants.
problem Constructing invariants for 4-manifolds.
method Semisimple 2-categories, fusion 2-categories, and state-sum construction.
result Construct a state-sum invariant for 4-manifolds.
New geometric structures in tangent categories.
problem Defining affine structures in tangent categories.
method Structural differential geometry, axiomatization of tangent categories, flat torsion-free connections.
result Affine objects form a tangent category and provide new characterizations of flat torsion-free connections.
Formulates a new connection between topological and geometric categories.
problem No specific problem stated; focuses on category formulation.
method Formulates a connection between a topological and geometric category.
result Provides a more precise and improved version of a previous proposal.
Extends monetary value measures to probability spaces.
problem No specific problem stated; generalization of monetary value measures.
method Extends category from hi to Prob.
result Generalized monetary value measures to probability spaces.
Generalizes Morse theory to n-categories using critical points and moduli spaces.
problem Constructing n-categories from Morse theory.
method Extending Cohen & Jones & Segal's flow category to n-categories by Morse theory on critical points and moduli spaces.
result The resulting structure is an 'almost strict' n-category.
Defines quasi-local energy for dS/AdS spacetimes.
problem Conservation of energy in curved spacetimes with cosmological constant.
method Optimal isometric embedding and Killing fields transplantation.
result Generalizes quasi-local energy definition for dS/AdS.
A new TQFT is conjectured to extend Reshetikhin-Turaev TQFT.
problem Extending TQFT to lower dimensions.
method Defining a symmetric monoidal (4,3)-category with duals from enriched multi-fusion categories.
result A conjectured extension of 1-2-3-dimensional TQFT to dimension zero.
Survey on decorated marked surfaces for Calabi-Yau categories.
problem Understanding Calabi-Yau categories and related structures.
method Introducing decorations on marked surfaces to study various categories.
result Exploration of Calabi-Yau-2 and 3 categories, braid groups, quadratic differentials, and stability conditions.
The paper defines new TQFTs from non-semisimple categories and proves spherical categories are chromatic.
problem Defining non-compact TQFTs from non-semisimple categories.
method Introducing admissible skein modules, chromatic categories, and using Juhász's cobordism presentation.
result Non-compact (2+1)-TQFTs can be defined from chromatic categories, extending Turaev-Viro TQFTs.
Spider category comparison proves equivalence to Sikora's quotient category.
problem Comparing skein theories of SLn. method Proved equivalence between spider category and Sikora's quotient category.
result Spider category Sp(SLn) is equivalent to Sikora's quotient category. New category defined for differentiable stacks.
problem No specific problem stated; focuses on new definition.
method Introducing a new category definition.
result Established relation with Lie groupoid category.
Categorifies quantum invariants using cobordism categories and operads.
problem Categorify quantum invariants using cobordism categories and operads.
method Constructs a cobordism category with a colored operad action, categorifies quantum sln invariants. result Consistency of the cobordism category and explicit functor to matrix factorizations conjectured.
ETQFTs created from non-semisimple modular categories.
problem Constructing ETQFTs from non-semisimple modular categories.
method Explicitly identify linear categories and functors in the image of ETQFTs constructed from modular categories.
result The circle category of ETQFTs is equivalent to the full subcategory of projective objects of the underlying modular category, which need not be semisimple.
Studies modules over a category of Jacobi diagrams in handlebodies.
problem Understanding modules over a specific category of Jacobi diagrams.
method Generalizes adjunctions and studies subquotient modules.
result Generalizes adjunctions between modules and Casimir Lie algebra modules.
New proof of Genauer fibration sequence in cobordism categories.
problem Relating cobordism categories of closed and boundary-manifolds.
method Inspired from algebraic K-theory, using cobordism categories and delooping.
result Generalization of Waldhausen's Additivity theorem to cobordism categories.
We compare various different definitions of "the category of smooth objects". The definitions compared are due to Chen, Frölicher, Sikorski, Smith, and Souriau. The method of comparison is to construct functors between the categories that enable us to see how the categories relate to each other. This produces a diagram…
We show that once-extended anomalous 3-dimensional topological quantum field theories valued in the 2-category of k-linear categories are in canonical bijection with modular tensor categories equipped with a square root of the global dimension in each factor.
This is the second in a series of papers intended to set up a framework to study categories of modules in the context of non-commutative geometries. In \cite{mem} we introduced the basic DG category $\Pc_{\A^\bullet}$, the perfect category of $\A^\bullet$, which corresponded to the category of coherent sheaves on a com…
New 4-manifold invariant defined from trisection diagrams.
problem Defining a new 4-manifold invariant from trisection diagrams.
method Algebraic data from bimodule categories and spherical fusion categories, described diagrammatically.
result Includes Hopf algebraic invariants and modular fusion category invariants.
We study the transverse Lusternik-Schnirelmann category of a Riemannian foliation on a compact manifold. We obtain a necessary and sufficient condition when the transverse LS category is finite. We also introduce a variation on the concept of transverse LS category, the essential transverse category, and show that this…
We investigate the relationship between the algebra of tensor categories and the topology of framed 3-manifolds. On the one hand, tensor categories with certain algebraic properties determine topological invariants. We prove that fusion categories of nonzero global dimension are 3-dualizable, and therefore provide 3-di…
Paper proposes CNE-net to tackle incremental learning in (T)ACSA tasks.
problem Catastrophic forgetting in multi-task incremental learning for (T)ACSA.
method Category Name Embedding network (CNE-net) with shared encoder and decoder.
result State-of-the-art performance on (T)ACSA benchmark datasets.
TXtract extracts structured knowledge from thousands of product categories.
problem Extracting structured knowledge from diverse product categories in e-commerce.
method TXtract uses a taxonomy-aware model with category conditional self-attention and multi-task learning.
result TXtract outperforms state-of-the-art approaches by up to 10% in F1 and 15% in coverage across all categories.