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papers

Publications (61)

hep-ex2026

Machine Learning-Based Reconstruction for Resistive Silicon Sensors

Alexander Aoki, Gaetano Barone, Leena Diehl +13

The paper investigates machine‑learning methods, including LSTM recurrent networks and transformer architectures, to reconstruct full waveforms from resistive silicon sensors (LGAD…

#machine learning#silicon detectors#LGAD#waveform reconstruction

math.FA2022

Boundedness of composition operators on general weighted Hardy spaces of analytic functions

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We characterize the (essentially) decreasing sequences of positive numbers $I^^{2}$ = ( $I^^{2}$ n) for which all composition operators on H 2 ( $I^^{2}$ ) are bounded, where H 2 ( $I^^{2}$ ) is the sp…

cs.CL2020

Sentence Boundary Augmentation For Neural Machine Translation Robustness

Daniel Li, Te I, Naveen Arivazhagan +2

Neural Machine Translation (NMT) models have demonstrated strong state of the art performance on translation tasks where well-formed training and evaluation data are provided, but…

math.FA2018

Entropy numbers and spectral radius type formula for composition operators on the polydisk

Daniel Li, HervÃ© QueffÃ©lec, Luis RodrÃguez-Piazza

We give estimates of the entropy numbers of composition operators on the Hardy space of the disk and of the polydisk.

math.FA2018

Pluricapacity and approximation numbers of composition operators

Daniel Li, HervÃ© QueffÃ©lec, Luis RodrÃguez-Piazza +1

For suitable bounded hyperconvex sets $I^c ◯$ in $C^{N}$ , in particular the ball or the polydisk, we give estimates for the approximation numbers of composition operators $C_Ï…

cs.AI2018

Adaptive Memory Networks

Daniel Li, Asim Kadav

We present Adaptive Memory Networks (AMN) that processes input-question pairs to dynamically construct a network architecture optimized for lower inference times for Question Answe…

math.FA2015

Approximation numbers of composition operators on Hp

Daniel Li, HervÃ© QueffÃ©lec, Luis RodrÃguez-Piazza

We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 $\leq$ p \textless{} $\infty$ .

math.FA2009

Composition operators on the Wiener-Dirichlet algebra

FrÃ©dÃ©ric Bayart, Catherine Finet, Daniel Li +1

We study the composition operators on an algebra of Dirichlet series, the analogue of the Wiener algebra of absolutely convergent Taylor series, which we call the Wiener-Dirichlet…

cs.CY2024

Creating a Cooperative AI Policymaking Platform through Open Source Collaboration

Aiden Lewington, Alekhya Vittalam, Anshumaan Singh +48

Advances in artificial intelligence (AI) present significant risks and opportunities, requiring improved governance to mitigate societal harms and promote equitable benefits. Curre…

math.FA2008

Some examples of compact composition operators on $H^{2}$

Pascal Lefevre, Daniel Li, Herve Queffelec +1

To appear in J. Functional Analysis

cs.IR2026

Intelligent Elastic Feature Fading: Enabling Model Retrain-Free Feature Efficiency Rollouts at Scale

Jieming Di, Xiaoyu Chen, Ying She +21

Large-scale ranking systems depend on thousands of features derived from user behavior across multiple time horizons. Typically requires model retraining -- resulting in long itera…

math.AC2024

On Lengths of $F_{2} [x, y, z] / (x^{d_{1}}, y^{d_{2}}, z^{d_{3}}, x + y + z)$

Fiona Han, Jennifer Kenkel, Daniel Li +2

In this paper, we provide a formula for the vector space dimension of the ring $F_{2} [x, y, z] / (x^{d_{1}}, y^{d_{2}}, z^{d_{3}}, x + y + z)$ over $F_{2}$ when $d_{1}, d_{2}, d_{3}$ all li…

math.FA2018

Some examples of composition operators and their approximation numbers on the Hardy space of the bi-disk

Daniel Li, HervÃ© QueffÃ©lec, Luis RodrÃguez-Piazza

We give examples of composition operators $C_I^¦$ on $H^2 (\D^2)$ showing that the condition $∥ I^¦∥_\infty = 1$ is not sufficient for their approximation numbers $a_n (C_I^¦)$ t…

q-bio.OT2020

Statistical Issues and Recommendations for Clinical Trials Conducted During the COVID-19 Pandemic

R. Daniel Meyer, Bohdana Ratitch, Marcel Wolbers +15

The COVID-19 pandemic has had and continues to have major impacts on planned and ongoing clinical trials. Its effects on trial data create multiple potential statistical issues. Th…

math.FA2012

Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk

Daniel Li, HervÃ© QueffÃ©lec, Luis Rodriguez-Piazza

We prove that, for every $I^\pm > - 1$ , the pull-back measure $I ¨ (A_{I^} \pm)$ of the measure $d A_{I^} \pm (z) = (I^\pm + 1) (1 - ∣ z ∣^{2})^{I^} \pm d A (z)$ , where $A$ is the normal…

math.FA2008

A criterion of weak compactness for operators on subspaces of Orlicz spaces

Pascal Lefevre, Daniel Li, Herve Queffelec +1

To appear in J. Funct. Spaces and Appl.

math.FA2021

Compactification and decompactification by weights on Bergman spaces

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We characterize the symbols $I^¦$ for which there exists a weight w such that the weighted composition operator M w C $I^¦$ is compact on the weighted Bergman space B 2 $I^\pm$ . We also…

math.FA2012

Compact composition operators on the Dirichlet space and capacity of sets of contact points

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

In this paper, we prove that for every compact set of the unit disk of logarithmic capacity 0, there exists a Schur function both in the disk algebra and in the Dirichlet space suc…

cs.CL2024

HumanEval on Latest GPT Models -- 2024

Daniel Li, Lincoln Murr

In 2023, we are using the latest models of GPT-4 to advance program synthesis. The large language models have significantly improved the state-of-the-art for this purpose. To make…

cs.LG2025

CLIMB: Data Foundations for Large Scale Multimodal Clinical Foundation Models

Wei Dai, Peilin Chen, Malinda Lu +4

Recent advances in clinical AI have enabled remarkable progress across many clinical domains. However, existing benchmarks and models are primarily limited to a small set of modali…

math.FA2020

Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions

HervÃ© QueffÃ©lec, Pascal LefÃ¨vre, Daniel Li +1

We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of analytic functions on the unit disk $\D$. We show that for the…

cs.CV2024

DINOv2 Meets Text: A Unified Framework for Image- and Pixel-Level Vision-Language Alignment

Cijo Jose, ThÃ©o Moutakanni, Dahyun Kang +11

Self-supervised visual foundation models produce powerful embeddings that achieve remarkable performance on a wide range of downstream tasks. However, unlike vision-language models…

math.NT2020

Central Limit Theorems for Compound Paths on the 2-Dimensional Lattice

Evan Fang, Jonathan Jenkins, Zack Lee +5

Zeckendorf proved that every integer can be written uniquely as a sum of non-consecutive Fibonacci numbers ${F_{n}}$ , and later researchers showed that the distribution of the numb…

math.FA2006

Composition operators on Hardy-Orlicz spaces

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We investigate composition operators on Hardy-Orlicz spaces when the Orlicz function $I^¨$ grows rapidly: compactness, weak compactness, to be $p$ -summing, order bounded,..., and sh…

math.FA2015

Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk

Daniel Li, HervÃ© QueffÃ©lec, Luis RodrÃguez-Piazza

We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball $B_d$ and the polydisk $D^{d}$ .

math.CV2023

Characterization of weighted Hardy spaces on which all composition operators are bounded

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We give a complete characterization of the sequences $I^^{2} = (I^_{n}^{2})$ of positive numbers for which all composition operators on $H^{2} (I^^{2})$ are bounded, where $H^{2} (I^^{2})$ is the space o…

math.FA2022

On composition operators on the Wiener algebra of Dirichlet series

Daniel Li, HervÃ© QueffÃ©lec, Luis RodrÃguez-Piazza

We show that the symbol of a bounded composition operator on the Wiener algebra of Dirichlet series does not need to belong to this algebra. Our example even gives an absolutely su…

cs.DS2024

Finding Most Shattering Minimum Vertex Cuts of Polylogarithmic Size in Near-Linear Time

Kevin Hua, Daniel Li, Jaewoo Park +1

We show the first near-linear time randomized algorithms for listing all minimum vertex cuts of polylogarithmic size that separate the graph into at least three connected component…

cs.CL2024

Incorporating Human Explanations for Robust Hate Speech Detection

Jennifer L. Chen, Faisal Ladhak, Daniel Li +1

Given the black-box nature and complexity of large transformer language models (LM), concerns about generalizability and robustness present ethical implications for domains such as…

math.FA2004

Composition operators on the Wiener-Dirichlet algebra

FrÃ©dÃ©ric Bayart, Catherine Finet, Daniel Li +1

In this paper, we study the composition operators on an algebra of Dirichlet series, the analogue of the Wiener algebra of absolutely convergent Taylor series, which we call the Wi…

stat.ME2021

BOP2-DC: Bayesian optimal phase II designs with dual-criterion decision making

Yujie Zhao, Daniel Li, Rong Liu +1

The conventional phase II trial design paradigm is to make the go/no-go decision based on the hypothesis testing framework. Statistical significance itself alone, however, may not…

math.FA2018

Composition operators with surjective symbol and small approximation numbers

Daniel Li, HervÃ© QueffÃ©lec, Luis RodrÃguez-Piazza

We give a new proof of the existence of a surjective symbol whose associated composition operator on H 2 (D) is in all Schatten classes, with the improvement that its approximation…

cs.IR2022

Reward Shaping for User Satisfaction in a REINFORCE Recommender

Konstantina Christakopoulou, Can Xu, Sai Zhang +10

How might we design Reinforcement Learning (RL)-based recommenders that encourage aligning user trajectories with the underlying user satisfaction? Three research questions are key…

cs.CL2024

Branch-Train-MiX: Mixing Expert LLMs into a Mixture-of-Experts LLM

Sainbayar Sukhbaatar, Olga Golovneva, Vasu Sharma +8

We investigate efficient methods for training Large Language Models (LLMs) to possess capabilities in multiple specialized domains, such as coding, math reasoning and world knowled…

math.FA2012

Estimates for approximation numbers of some classes of composition operators on the Hardy space

Daniel Li, HervÃ© QueffÃ©lec, Luis Rodriguez-Piazza

We give estimates for the approximation numbers of composition operators on $H^{2}$ , in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get…

math.FA2009

Nevanlinna counting function and Carleson function of analytic maps

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We show that the maximal Nevanlinna counting function and the Carleson function of analytic self-maps of the unit disk are equivalent, up to constants.

math.FA2012

Approximation numbers of composition operators on the Dirichlet space

Pascal LefÃ¨vre, Daniel Li, Luis Rodriguez-Piazza +1

We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers. In particular, we improve on…

math.FA2009

Some translation-invariant Banach function spaces which contain $c_{0}$

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space $c_{0}$ .

math.FA2010

Some revisited results about composition operators on Hardy spaces

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We generalize, on one hand, some results known for composition operators on Hardy spaces to the case of Hardy-Orlicz spaces $H^{I^} ¨$ : construction of a "slow" Blaschke product giving…

math.FA2017

Approximation numbers of weighted composition operators

Gandalf Lechner, Daniel Li, HervÃ© QueffÃ©lec +1

We study the approximation numbers of weighted composition operators $f \mapsto w \cdot (f \circ I ¨ )$ on the Hardy space $H^{2}$ on the unit disc. For general classes of such operators, u…

cs.CV2025

Perception Encoder: The best visual embeddings are not at the output of the network

Daniel Bolya, Po-Yao Huang, Peize Sun +15

We introduce Perception Encoder (PE), a state-of-the-art vision encoder for image and video understanding trained via simple vision-language learning. Traditionally, vision encoder…

math.FA2010

The canonical injection of the Hardy-Orlicz space $H^{I^} ¨$ into the Bergman-Orlicz space $B^{I^} ¨$

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We study the canonical injection from the Hardy-Orlicz space $H^{I^} ¨$ into the Bergman-Orlicz space $B^{I^} ¨$ .

math.FA2017

Approximation numbers of composition operators on the Hardy space of the infinite polydisk

We study the composition operators of the Hardy space on D $\infty$ $\cap$ {\ell} 1 , the {\ell} 1 part of the infinite polydisk, and the behavior of their approximation numbers.

math.FA2014

A spectral radius type formula for approximation numbers of composition operators

For approximation numbers $a_{n} (C_{I ¨} )$ of composition operators $C_{I ¨} $ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol $I ¨ $ of un…

math.FA2009

Some new thin sets of integers in Harmonic Analysis

We randomly construct various subsets $I^$ of the integers which have both smallness and largeness properties. They are small since they are very close, in various meanings, to Sid…

math.FA2010

Compact composition operators on Bergman-Orlicz spaces

We construct an analytic self-map $I ¨ $ of the unit disk and an Orlicz function $I^¨$ for which the composition operator of symbol $I ¨ $ is compact on the Hardy-Orlicz space $H^{I^} ¨$ , b…

math.FA2011

On approximation numbers of composition operators

We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces $B_{I^} \pm$ of the unit disk can tend to 0 arbitrarily slowly, but tha…

math.FA2009

Thin sets of integers in Harmonic analysis and p-stable random Fourier series

We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces Gaussian or Rademacher variables by p-stable ones, with…

math.FA2011

Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces

Daniel Li

It is known, from results of B. MacCluer and J. Shapiro (1986), that every composition operator which is compact on the Hardy space $H^{p}$ , $1 \leq p < \infty$ , is also compact on t…

math.FA2019

Compactification, and beyond, of composition operators on Hardy spaces by weights

We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a compact operator, and when it can be in Schatten classes. The q-summing case in H…

math.FA2014

Two remarks on composition operators on the Dirichlet space

We show that the decay of approximation numbers of compact composition operators on the Dirichlet space $D$ can be as slow as we wish, which was left open in the cited wo…

math.FA2012

Some new properties of composition operators associated with lens maps

We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H…

stat.ME2023

Design and Sample Size Determination for Multiple-dose Randomized Phase II Trials for Dose Optimization

Peng Yang, Daniel Li, Ruitao Lin +2

The conventional more-is-better dose selection paradigm, which targets the maximum tolerated dose (MTD), is not suitable for the development of targeted therapies and immunotherapi…

cs.CL2021

Hierarchical Summarization for Longform Spoken Dialog

Daniel Li, Thomas Chen, Albert Tung +1

Every day we are surrounded by spoken dialog. This medium delivers rich diverse streams of information auditorily; however, systematically understanding dialog can often be non-tri…

math.FA2009

On some random thin sets of integers

We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality of Boucheron, Lugosi and Massart, we give a simpler proo…

math.FA2008

Compact composition operators on $H^{2}$ and Hardy-Orlicz spaces

Pascal Lefevre, Daniel Li, Herve Queffelec +1

We compare the compactness of composition operators on $H^{2}$ and on Orlicz-Hardy spaces $H^{I^} ¨$ . We show in particular that exists an Orlicz function $I^¨$ such that $H^{3+\eps} \sub…

math.FA2024

On some questions about composition operators on weighted Hardy spaces

We first consider some questions raised by N. Zorboska in her thesis. In particular she asked for which sequences $I^^{2}$ every symbol $I ¨ : D \to D$ with $Ï\in…

cs.AI2024

The Llama 3 Herd of Models

Aaron Grattafiori, Abhimanyu Dubey, Abhinav Jauhri +556

Modern artificial intelligence (AI) systems are powered by foundation models. This paper presents a new set of foundation models, called Llama 3. It is a herd of language models th…

math.FA2019

An extremal composition operator on the Hardy space of the bidisk with small approximation numbers

We construct an analytic self-map $I^¦$ of the bidisk $D^{2}$ whose image touches the distinguished boundary, but whose approximation numbers of the associated composition o…

cs.CL2023

SeamlessM4T: Massively Multilingual & Multimodal Machine Translation

Seamless Communication, LoÃ¯c Barrault, Yu-An Chung +65

What does it take to create the Babel Fish, a tool that can help individuals translate speech between any two languages? While recent breakthroughs in text-based models have pushed…

math.FA2009

Weak compactness and Orlicz spaces

We give new proofs that some Banach spaces have PeÅczyÅski's property $(V)$ .

Publications (61)

Machine Learning-Based Reconstruction for Resistive Silicon Sensors

Boundedness of composition operators on general weighted Hardy spaces of analytic functions

Sentence Boundary Augmentation For Neural Machine Translation Robustness

Entropy numbers and spectral radius type formula for composition operators on the polydisk

Pluricapacity and approximation numbers of composition operators

Adaptive Memory Networks

Approximation numbers of composition operators on Hp

Composition operators on the Wiener-Dirichlet algebra

Creating a Cooperative AI Policymaking Platform through Open Source Collaboration

Some examples of compact composition operators on H2

Intelligent Elastic Feature Fading: Enabling Model Retrain-Free Feature Efficiency Rollouts at Scale

On Lengths of F2​[x,y,z]/(xd1​,yd2​,zd3​,x+y+z)

Some examples of composition operators and their approximation numbers on the Hardy space of the bi-disk

Statistical Issues and Recommendations for Clinical Trials Conducted During the COVID-19 Pandemic

Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk

A criterion of weak compactness for operators on subspaces of Orlicz spaces

Compactification and decompactification by weights on Bergman spaces

Compact composition operators on the Dirichlet space and capacity of sets of contact points

HumanEval on Latest GPT Models -- 2024

CLIMB: Data Foundations for Large Scale Multimodal Clinical Foundation Models

Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions

DINOv2 Meets Text: A Unified Framework for Image- and Pixel-Level Vision-Language Alignment

Central Limit Theorems for Compound Paths on the 2-Dimensional Lattice

Composition operators on Hardy-Orlicz spaces

Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk

Characterization of weighted Hardy spaces on which all composition operators are bounded

On composition operators on the Wiener algebra of Dirichlet series

Finding Most Shattering Minimum Vertex Cuts of Polylogarithmic Size in Near-Linear Time

Incorporating Human Explanations for Robust Hate Speech Detection

Composition operators on the Wiener-Dirichlet algebra

BOP2-DC: Bayesian optimal phase II designs with dual-criterion decision making

Composition operators with surjective symbol and small approximation numbers

Reward Shaping for User Satisfaction in a REINFORCE Recommender

Branch-Train-MiX: Mixing Expert LLMs into a Mixture-of-Experts LLM

Estimates for approximation numbers of some classes of composition operators on the Hardy space

Nevanlinna counting function and Carleson function of analytic maps

Approximation numbers of composition operators on the Dirichlet space

Some translation-invariant Banach function spaces which contain c0​

Some revisited results about composition operators on Hardy spaces

Approximation numbers of weighted composition operators

Perception Encoder: The best visual embeddings are not at the output of the network

The canonical injection of the Hardy-Orlicz space HI^¨ into the Bergman-Orlicz space BI^¨

Approximation numbers of composition operators on the Hardy space of the infinite polydisk

A spectral radius type formula for approximation numbers of composition operators

Some new thin sets of integers in Harmonic Analysis

Compact composition operators on Bergman-Orlicz spaces

On approximation numbers of composition operators

Thin sets of integers in Harmonic analysis and p-stable random Fourier series

Compact composition operators on Hardy-Orlicz and Bergman-Orlicz spaces

Compactification, and beyond, of composition operators on Hardy spaces by weights

Two remarks on composition operators on the Dirichlet space

Some new properties of composition operators associated with lens maps

Design and Sample Size Determination for Multiple-dose Randomized Phase II Trials for Dose Optimization

Hierarchical Summarization for Longform Spoken Dialog

On some random thin sets of integers

Compact composition operators on H2 and Hardy-Orlicz spaces

On some questions about composition operators on weighted Hardy spaces

The Llama 3 Herd of Models

An extremal composition operator on the Hardy space of the bidisk with small approximation numbers

SeamlessM4T: Massively Multilingual & Multimodal Machine Translation

Weak compactness and Orlicz spaces

Some examples of compact composition operators on $H^{2}$

On Lengths of $F_{2} [x, y, z] / (x^{d_{1}}, y^{d_{2}}, z^{d_{3}}, x + y + z)$

Some translation-invariant Banach function spaces which contain $c_{0}$

The canonical injection of the Hardy-Orlicz space $H^{I^} ¨$ into the Bergman-Orlicz space $B^{I^} ¨$

Compact composition operators on $H^{2}$ and Hardy-Orlicz spaces