50 citations · 60 across the 10 of their papers we have counts for
13 papers
The Shape of Overthinking: Backtracking Bursts in Long Reasoning Traces
Navid Rezazadeh, Arash Gholami Davoodi
Reasoning models often generate long traces in which useful self-correction and unproductive revision are hard to distinguish. We study this distinction through backtracking dynami…
Vertex-Softmax: Tight Transformer Verification via Exact Softmax Optimization
Navid Rezazadeh, Arash Gholami Davoodi
Certified verification of transformer attention requires bounding the softmax function over interval constraints on the pre-softmax scores. Existing verifiers relax softmax ndepend…
Geometry-Aware Decoding with Wasserstein-Regularized Truncation and Mass Penalties for Large Language Models
Arash Gholami Davoodi, Navid Rezazadeh, Seyed Pouyan Mousavi Davoudi +1
Large language models (LLMs) must balance diversity and creativity against logical coherence in open-ended generation. Existing truncation-based samplers are effective but largely…
LLMs Are Not Intelligent Thinkers: Introducing Mathematical Topic Tree Benchmark for Comprehensive Evaluation of LLMs
Arash Gholami Davoodi, Seyed Pouyan Mousavi Davoudi, Pouya Pezeshkpour
Large language models (LLMs) demonstrate impressive capabilities in mathematical reasoning. However, despite these achievements, current evaluations are mostly limited to specific…
DoF Region of the Decentralized MIMO Broadcast Channel -- How many informed antennas do we need?
Antonio Bazco-Nogueras, Arash Davoodi, Paul de Kerret +3
In this work, we study the impact of imperfect sharing of the Channel State Information (CSI) available at the transmitters on a Network MIMO setting in which a set of transmit…
ForestDSH: A Universal Hash Design for Discrete Probability Distributions
Arash Gholami Davoodi, Sean Chang, Hyun Gon Yoo +3
In this paper, we consider the problem of classification of high dimensional queries to high dimensional classes where a…
Degrees of Freedom Region of the MIMO Broadcast Channel with Partial CSIT: An Application of Sum-set Inequalities Based on Aligned Image Sets
Arash Gholami Davoodi, Syed A. Jafar
The degrees of freedom (DoF) region is characterized for the -user multiple input multiple output (MIMO) broadcast channel (BC), where the transmitter is equipped with anten…
Network Coherence Time Matters - Aligned Image Sets and the Degrees of Freedom of Interference Networks with Finite Precision CSIT and Perfect CSIR
Arash Gholami Davoodi, Syed Ali Jafar
This work obtains the first bound that is provably sensitive to network coherence time, i.e., coherence time in an interference network where all channels experience the same coher…
Aligned Image Sets and the Generalized Degrees of Freedom of Symmetric MIMO Interference Channel with Partial CSIT
Arash Gholami Davoodi, Syed A. Jafar
The generalized degrees of freedom (GDoF) of the two user symmetric multiple input multiple output (MIMO) interference channel (IC) are characterized as a function of the channel s…
Sum-set Inequalities from Aligned Image Sets: Instruments for Robust GDoF Bounds
Arash Gholami Davoodi, Syed A. Jafar
We present sum-set inequalities specialized to the generalized degrees of freedom (GDoF) framework. These are information theoretic lower bounds on the entropy of bounded density l…
GDoF of the MISO BC: Bridging the Gap between Finite Precision and Perfect CSIT
Arash Gholami Davoodi, Bofeng Yuan, Syed A. Jafar
For the user MISO BC, i.e., the wireless broadcast channel where a transmitter equipped with antennas sends independent messages to receivers each of which is equ…
Aligned Image Sets under Channel Uncertainty: Settling a Conjecture by Lapidoth, Shamai and Wigger on the Collapse of Degrees of Freedom under Finite Precision CSIT
Arash Gholami Davoodi, Syed A. Jafar
A conjecture made by Lapidoth, Shamai and Wigger at Allerton 2005 (also an open problem presented at ITA 2006) states that the DoF of a 2 user broadcast channel, where the transmit…
Optimum Power Allocations for Fading Decode-and-Forward Relay Channel
Arash Gholami Davoodi, Mohammad Javad Emadi, Mohammad Reza Aref
In this paper, for a fading decode-and-forward full-duplex relay channel, we analytically derive optimum power allocations. Individual power constraints for the source and the rela…