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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.

169,341 papers · 148 categories

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17335066 · May 202619922001200920182026
48 results for Silhouette index

The paper challenges the validity of cluster validity measures in unsupervised learning.

problem The validity of cluster validity measures in selecting optimal clusterings.
method The authors investigate the use of cluster validity measures as objective functions in unsupervised learning and introduce a new variant of the Dunn index.
result Many cluster validity measures promote clusterings that do not match expert knowledge well.

The paper extends cluster validity indices for incremental analysis.

problem Providing incremental alternatives for cluster validation.
method Extending iCVI family to include 6 incremental indices and examining their behavior under under- and over-partitioning.
result Over-partitioning is more challenging to detect than under-partitioning.

A new medoid-based Silhouette method selects optimal cluster numbers efficiently.

problem Difficulty in evaluating clustering results and choosing the right number of clusters.
method Developed a medoid-based Silhouette variant, analyzed its properties, and provided fast optimization methods.
result A 10464x speedup in choosing optimal cluster numbers compared to original PAMMEDSIL.

TDA improves FX clustering quality over traditional methods.

problem Capturing complex currency co-movements in FX markets.
method Topological Data Analysis (TDA) compared to traditional statistical methods on monthly FX returns.
result TDA-based clustering yields more compact and well-separated clusters.

Smooth generative model of shapes with uncertainty from silhouette images.

problem Challenges in modeling shapes represented as silhouette images due to intractable posteriors.
method Gaussian Process Deep Belief Networks (GPDBN) that learn from small data and propagate uncertainty.
result Proposed model provides favorable results compared to state-of-the-art models.

New index improves anomaly detection in correlated time series data.

problem Challenges in evaluating cluster quality for anomaly detection.
method Introduced Synchronized Anomaly Agreement Index (SAAI) to assess cluster quality.
result Maximizing SAAI improves anomaly detection accuracy by 0.23 compared to SSC and by 0.32 compared to X-Means.

New method estimates causal effects in complex spaces using topological structures.

problem Challenges in estimating causal effects in non-Euclidean spaces.
method Developed a topological causal inference framework using power-weighted silhouette functions of persistence diagrams.
result Successfully quantifies topological treatment effects across various complex outcomes.

Clust-PSI-PFL uses PSI to improve accuracy and fairness in federated learning.

problem Non-IID data biases federated learning performance.
method Clust-PSI-PFL uses clustering and PSI to form homogeneous groups of clients.
result Clust-PSI-PFL delivers up to 18% higher global accuracy and improves client fairness.

Paper defends against malware detection attacks using clustering and deep learning.

problem Label flipping attacks on malware detection systems in IoT environments.
method Developed a Silhouette clustering-based attack mechanism and two CNN-type deep learning algorithms for defense.
result Proposed algorithms LSD and CSD improve malware detection accuracy by up to 19%.

HD-BWDM improves clustering validation in high-dimensional data.

problem Determining the right number of clusters in high-dimensional data.
method HD-BWDM integrates random projection, PCA, trimmed clustering, and medoid-based distances.
result HD-BWDM remains stable and interpretable under high-dimensional projections and contamination.

This paper evaluates and validates cluster results using external and internal evaluation methods.

problem Evaluating and validating the quality of clustering results.
method External evaluation using Homogeneity, Correctness, and V-measure scores; internal evaluation using Silhouette Index and Sum of Square Errors.
result Validation of the number of clusters using dendrogram and statistical frequency distribution.

This work proposes a method to integrate algorithms into neural networks using continuous relaxation.

problem Training neural networks with new forms of supervision like ordering constraints.
method Relaxing discrete conditions in control structures like conditional statements, loops, and indexing to make them differentiable.
result The proposed method can keep up with relaxations designed for specific tasks, showing general applicability.

New clustering method improves climate data analysis in Lesser Antilles.

problem Inducing undesirable effects in clustering algorithms using Euclidean distance.
method Replacing Euclidean distance with Expert Deviation (ED) based on symmetrized Kullback-Leibler divergence.
result KMS-ED produces more interpretable clusters with better discrimination of daily situations.

Aerial robot estimates human pose and path using dynamic classifier selection.

problem Estimating human pose and trajectory from aerial video.
method Dynamic classifier selection architecture; perspective correction; HOG and CNN features; 64 pose-viewpoint classes.
result Dynamic classifier selection improves efficiency and accuracy.

Probabilistic principal component analysis (PPCA) seeks a low dimensional representation of a data set in the presence of independent spherical Gaussian noise, Sigma = (sigma^2)*I. The maximum likelihood solution for the model is an eigenvalue problem on the sample covariance matrix. In this paper we consider the situa…

2011-06-21abs ↗pdf ↗

Adapts ensemble feature engineering for classification, improving performance over traditional methods.

problem Improving classification performance using wrapper-based genetic programming methods.
method Adapted ensemble feature engineering wrapper for classification, analyzing fitness and survival methods.
result Two fitness metrics outperform Fisher criterion, and εε-lexicase survival outperforms others.

We present a layered Boltzmann machine (BM) that can better exploit the advantages of a distributed representation. It is widely believed that deep BMs (DBMs) have far greater representational power than its shallow counterpart, restricted Boltzmann machines (RBMs). However, this expectation on the supremacy of DBMs ov…

2015-05-11abs ↗pdf ↗

Extends Fisher's Discriminant Analysis for interval-valued data.

problem Classifying entities represented by intervals and histograms.
method Adapts Fisher's Discriminant Analysis using Moore's interval arithmetic and Mallows' distance.
result Discriminant directions for interval-valued data are numerically maximized.

Automated LV segmentation across the cardiac cycle using deep learning.

problem Segmentation of left ventricle from CINE MRI images using only two phases.
method A deep learning workflow that learns from images throughout the cardiac cycle, including localization, cropping, and contour identification using a Temporal FCNN with CRFs and Semantic Flow.
result Significant improvement in performance by explicitly learning cardiac motion patterns.

Study on symmetric operators on non-compact manifolds, focusing on their index modulo 2.

problem Investigating elliptic operators with a specific symmetry and their index modulo 2.
method Analysis of Callias-type operators on non-compact manifolds, establishing mod 2 versions of index theorems.
result Established mod 2 versions of the Gromov-Lawson relative index theorem, Callias index theorem, and Boutet de Monvel's index theorem for Toeplitz operators.

New index formula connects numerical and KK-theoretic indices.

problem Equivariant index for proper group actions on manifolds.
method Developed a trace on group conjugacy classes to relate numerical and KK-theoretic indices.
result Shows that numerical index equals KK-theoretic index under certain conditions.

New index connects Diederich-Fornæss index to boundary conditions.

problem Understanding the Diederich-Fornæss index for complex domains.
method Defined and proved new index equivalence; used complex geometric analytic techniques.
result First precise non-trivial Diederich-Fornæss index in Euclidean spaces.