A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
New method extrapolates spectral densities from smaller models to larger ones.
New method estimates large matrices' spectra from small sub-matrices.
Method reconstructs hidden Markov chains from insurance data.
Proposes a method to train neural networks directly on compressed text data.
GrateTile optimizes CNN feature map storage for efficient data access.
High-quality image synthesis with diffusion models, achieving state-of-the-art FID score.
Pruning is an efficient model compression technique to remove redundancy in the connectivity of deep neural networks (DNNs). Computations using sparse matrices obtained by pruning parameters, however, exhibit vastly different parallelism depending on the index representation scheme. As a result, fine-grained pruning ha…
This paper puts forth a novel bi-linear modeling framework for data recovery via manifold-learning and sparse-approximation arguments and considers its application to dynamic magnetic-resonance imaging (dMRI). Each temporal-domain MR image is viewed as a point that lies onto or close to a smooth manifold, and landmark …
Data compression is a popular technique for improving the efficiency of data processing workloads such as SQL queries and more recently, machine learning (ML) with classical batch gradient methods. But the efficacy of such ideas for mini-batch stochastic gradient descent (MGD), arguably the workhorse algorithm of moder…
Deep learning accelerates Monte Carlo SDE simulations with large time steps.
Object detection in still images has drawn a lot of attention over past few years, and with the advent of Deep Learning impressive performances have been achieved with numerous industrial applications. Most of these deep learning models rely on RGB images to localize and identify objects in the image. However in some a…
Paper introduces a new adaptive gradient method with gradient compression for distributed training.
Transformers for binary decisions are sensitive to evidence order, leading to unreliable outcomes.
The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet basis) directly in a compressed form, and then to reconstruct (decompress) these si…
Manually authoring transition animations for a complete locomotion system can be a tedious and time-consuming task, especially for large games that allow complex and constrained locomotion movements, where the number of transitions grows exponentially with the number of states. In this paper, we present a novel approac…
The paper creates knot invariants using free groups.
Proves incoherence of free-by-free and surface-by-free groups, solving two problems.
We show that the complex of free factors of a free group of rank n > 1 is homotopy equivalent to a wedge of spheres of dimension n-2. We also prove that for n > 1, the complement of (unreduced) Outer space in the free splitting complex is homotopy equivalent to the complex of free factor systems and moreover is (n-2)-c…
The notion of free link is a generalized notion of virtual link. In the present paper we define the group of free braids, prove the Alexander theorem that all free links can be obtained as closures of free braids and prove a Markov theorem, which gives necessary and sufficient conditions for two free braids to have the…
Corrects a 1998 proof about free factors of free groups.
The pants graph of a free group is constructed and studied.
The isomorphism problem for [free abelian]-by-free groups is unsolvable.
Foundations for free boundary Brakke flows established.
Free surface-links are shown to be ribbon links.
We investigate cobordisms of free knots. Free knots and links are also called homotopy classes of Gauss words and phrases. We define a new strong invariant of free knots which allows to detect free knots not cobordant to the trivial one.
A Seifert surface F for a knot K is free if the complement of F is a handlebody (i.e., has free fundamental group). The free genus of K is the minimum genus among all free Seifert surfaces for K. In this paper we show that there exist families of hyperbolic knots with arbitrarily large volume, which each have free genu…
We develop the notion of Brakke flow with free-boundary in a barrier surface. Unlike the classical free-boundary mean curvature flow, the free-boundary Brakke flow must "pop" upon tangential contact with the barrier. We prove a compactness theorem for free-boundary Brakke flows, define a Gaussian monotonicity formula v…
The paper classifies fixed subgroups of endomorphisms in free-abelian times surface groups.
We prove that the free splitting complex of a finite rank free group, also known as Hatcher's sphere complex, is hyperbolic.
Paper generalizes Minkowski inequality for umbilical hypersurfaces with free boundary.
The study shows that certain groups can be uniquely identified by their finite abelian summands.
The paper identifies manifolds with free circle actions.
Elementarily free groups are the finitely generated groups with the same elementary theory as free groups. We prove that elementarily free groups are subgroup separable, answering a question of Zlil Sela.
We define risk-free portfolios using three gauge invariant differential operators that require such portfolios to be insensitive to price changes, to be self-financing, and to produce a zero real return so there are no risk-free profits. This definition identifies the risk-free rate as the return of an infinitely diver…
Proves almost profinite rigidity for certain free-by-cyclic groups.
Author provides an alternate proof of the free ribbon lemma.
We examine free orientation-reversing group actions on orientable handlebodies, and free actions on nonorientable handlebodies. A classification theorem is obtained, giving the equivalence classes and weak equivalence classes of free actions in terms of algebraic invariants that involve Nielsen equivalence. This is app…
The paper defines conditions for a free-by-free group to be hyperbolic.
Conditions for hyperbolic and relatively hyperbolic extensions of free groups using automorphisms with fixed points.
We show how to derive hyperbolicity of the free factor complex of from the Handel-Mosher proof of hyperbolicity of the free splitting complex of , thus obtaining an alternative proof of a theorem of Bestvina-Feighn. We also show that under the natural map from the free splitting complex to free factor co…
ScheduleFree+ improves large language model training without schedules or learning rates.
Proves a connectivity conjecture for free groups, showing homotopy type of spheres.
We define a notion of free product for coarse spaces that generalizes the corresponding notion of a free product for groups. We show that free products preserve coarse properties such as coarse property C, finite coarse decomposition complexity, and coarse property A. We also give an upper bound estimate on the dimensi…
Study on profinite rigidity of direct products of free and surface groups.
Sharp geometric inequalities for free boundary hypersurfaces in balls.
In this paper we first state the classification of the prolongations of complex free fundamental graded Lie algebras. Next we introduce the notion of free pseudo-product fundamental graded Lie algebras and study the prolongations of complex free pseudo-product fundamental graded Lie algebras. Furthermore we investigate…
Classifies compact multiplicity free quasi-Hamiltonian manifolds.
The free factor complex of rank 4+ fails a combinatorial isoperimetric inequality.