A5072455364- Judicial and Constitutional Studies
- Complex Network Analysis Techniques
- Complex Systems and Time Series Analysis
- Finite Group Theory Research
- Digital Filter Design and Implementation
- Aesthetic Perception and Analysis
- Mathematical Analysis and Transform Methods
- Image and Signal Denoising Methods
- Advanced Algebra and Geometry
- Artificial Intelligence in Law
- Coding theory and cryptography
- Topic Modeling
- Healthcare Systems and Technology
- Banking stability, regulation, efficiency
- Topological and Geometric Data Analysis
- Computational and Text Analysis Methods
- Natural Language Processing Techniques
- Algebraic structures and combinatorial models
- Opinion Dynamics and Social Influence
- Quantum Computing Algorithms and Architecture
- Legal Education and Practice Innovations
- Advanced Combinatorial Mathematics
- Graph theory and applications
- Comparative and International Law Studies
- Matrix Theory and Algorithms
Dartmouth College
2016-2025
Santa Fe Institute
2014-2024
Dartmouth Hospital
2003-2021
Indiana University Bloomington
2021
Arlington Free Clinic
2015
Imaging Center
2004
Claremont Colleges
2003
IBM Research - Thomas J. Watson Research Center
1996
Columbia University
1991-1996
Deutsche Nationalbibliothek
1996
Many standard computer vision datasets exhibit biases due to a variety of sources including illumination condition, imaging system, and preference dataset collectors. Biases like these can have downstream effects in the use construction generalizable techniques, especially for goal creation classification system capable generalizing unseen novel datasets. In this work we propose Unbiased Metric Learning (UML), metric learning approach, achieve goal. UML operates following two steps: (1) By...
The advent of large language models (LLMs) and their adoption by the legal community has given rise to question: what types reasoning can LLMs perform? To enable greater study this question, we present LegalBench: a collaboratively constructed benchmark consisting 162 tasks covering six different reasoning. LegalBench was built through an interdisciplinary process, in which collected designed hand-crafted professionals. Because these subject matter experts took leading role construction,...
We describe a computational technique for authenticating works of art, specifically paintings and drawings, from high-resolution digital scans the original works. This approach builds statistical model an artist set authenticated against which new then are compared. The consists first- higher-order wavelet statistics. show preliminary results our analysis 13 drawings that at various times have been attributed to Pieter Bruegel Elder; these confirm expert authentications. also apply...
We like to think that constitutions are expressions of distinctly national values, speaking for "We the People." This is especially true constitutional preambles, which often recount distinct events from history and speak values. article challenges this popular view by demonstrating global influences on preambles. It does so using a new set tools in linguistic textual analysis, applied database most preambles written since 1789. Arguing legal language can be analogized memes or genetic...
Literature is a form of expression whose temporal structure, both in content and style, provides historical record the evolution culture. In this work we take on quantitative analysis literary style conduct first large-scale stylometric study literature by using vast holdings Project Gutenberg Digital Library corpus. We find stylistic localization among authors through similarity structure feature vectors derived from content-free word usage, nonhomogeneous decay rates influence, an...
Many real-world networks tend to be very dense. Particular examples of interest arise in the construction that represent pairwise similarities between objects. In these cases, under consideration are weighted, generally with positive weights any two nodes. Visualization and analysis such networks, especially when number nodes is large, can pose significant challenges which often met by reducing edge set. Any effective "sparsification" must retain reflect important structure network. A common...
Recently, statistical techniques have been used to assist art historians in the analysis of works art. We present a novel technique for quantification artistic style that utilizes sparse coding model. Originally developed vision research, models can be trained represent any image space by maximizing kurtosis representation an arbitrarily selected from space. apply such successfully distinguish set authentic drawings Pieter Bruegel Elder another well-known imitations. show our approach, which...
The fast Fourier transform is one of the fundamental algorithm families in digital information processing. author discusses its past, present, and future, along with important role our current revolution. It concluded that FFT both parent child revolution, a computational technique at nexus worlds business entertainment, national security public communication. Although it anyone's guess as to what lies over next horizon signal processing, will most likely be thick it.
In this paper, we analyze the US Patient Referral Network (also called Shared ) and various subnetworks for years 2009 to 2015. these networks, two physicians are linked if a patient encounters both of them within specified time interval, according data made available by Centers Medicare Medicaid Services. We find power law distributions on most state‐level as well core‐periphery structure. On national state level, discover so‐called small‐world structure “gravity law” type found in some...
Let $\poly = \{P_0,\dots,P_{n-1}\}$ denote a set of polynomials with complex coefficients. $\pts \{z_0,\dots,z_{n-1}\}\subset \cplx$ any {\it sample points}. For $f (f_0,\dots,f_{n-1}) \in \cplx^n$, the discrete polynomial transform} f (with respect to $\poly$ and $\pts$) is defined as collection sums, $\{\fhat(P_0),\dots,\fhat(P_{n-1})\}$, where $\fhat(P_j) \langle f,P_j \rangle \sum_{i=0}^{n-1} f_iP_j(z_i)w(i)$ for some associated weight function w. These sorts transforms find important...
For decades, researchers have studied the relationship between political leanings of judges and outcomes appellate litigation in United States. The primary source data for this research has been published judicial opinions that describe cases their outcomes. However, only a relatively small number result opinions, sample may be subject to serious biases. Based on computational text analysis over 150,000 issued by federal courts years 1970–2010, we find strong evidence bias based...
Abstract Law search is fundamental to legal reasoning and its articulation an important challenge open problem in the ongoing efforts investigate as a formal process. This Article formulates mathematical model that frames behavioral cognitive framework of law sequential decision The has two components: first, corpus space second, process (or strategy ) compatible with environment. structure “multi-network”—an interleaved distinct networks—developed earlier work. In this Article, we develop...
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The quantum Fourier transform (QFT) is a principal ingredient appearing in many efficient algorithms. We present generic framework for the construction of circuits QFT by “quantizing” highly successful separation variables technique classical transforms. Specifically, we apply Bratteli diagrams, Gel'fand-Tsetlin bases, and strong generating sets small adapted diameter to provide over wide variety finite Abelian non-Abelian groups, including all families groups which QFTs are currently known...