The upcoming match between Gyirmot and Gyori ETO II is expected to be a high-scoring affair, as indicated by the predictions favoring over 1.5 and over 2.5 goals. Both teams have shown a propensity for offensive play in recent fixtures, with Gyirmot averaging 3.55 goals per match and Gyori ETO II conceding an average of 2.88 goals. The absence of any significant injuries or suspensions suggests that both teams will field their strongest possible lineups. Tactically, Gyirmot is likely to employ an attacking formation, aiming to capitalize on their home advantage, while Gyori ETO II might adopt a more defensive approach to mitigate the strong attack of their opponents. The tempo of the game is expected to be fast-paced, with both teams pressing high and looking to score early.
Gyirmot
Gyori ETO II
(FT)
Predictions:
Market | Prediction | Odd | Result |
---|---|---|---|
Over 1.5 Goals | 98.80% | (3-2) 1.03 | |
Over 2.5 Goals | 98.40% | (3-2) 1.23 | |
Over 0.5 Goals HT | 87.60% | (3-2) 2-1 1H 1.13 | |
Over 3.5 Goals | 90.80% | (3-2) 1.60 | |
Home Team To Score In 2nd Half | 81.10% | (3-2) | |
Home Team To Score In 1st Half | 81.10% | (3-2) | |
Over 1.5 Goals HT | 79.10% | (3-2) 2-1 1H 1.70 | |
Home Team To Win | 77.20% | (3-2) 1.13 | |
Both Teams Not To Score In 2nd Half | 68.50% | (3-2) | |
Both Teams To Score | 62.80% | (3-2) 1.75 | |
Both Teams Not To Score In 1st Half | 63.60% | (3-2) | |
Over 2.5 BTTS | 65.40% | (3-2) 1.91 | |
Avg. Total Goals | 5.53% | (3-2) | |
Avg. Goals Scored | 3.55% | (3-2) | |
Avg. Conceded Goals | 2.88% | (3-2) |
Match Result (1X2)
Data Signals
The predictions heavily favor a high-scoring match, with over 1.5 goals at 98.80% and over 2.5 goals at 98.40%. This suggests that neither team will likely secure a low-scoring victory, making bets on either team winning outright less attractive.
Risk Factors
The high likelihood of multiple goals being scored reduces the risk associated with betting on over/under markets but increases the uncertainty in predicting the exact winner. Gyirmot’s home advantage may slightly tilt the odds in their favor.
Recommended Picks
Given the high probability of a high-scoring match, betting on ‘Over 2.5 Goals’ appears to be the safest bet. Additionally, considering Gyirmot’s attacking prowess and home advantage, a bet on ‘Home Team To Win’ could also be viable.
Draw No Bet
Data Signals
With such strong predictions for goals being scored, the likelihood of a draw seems minimal. The odds for a draw are not explicitly provided, but the context suggests it is unlikely.
Risk Factors
The primary risk here is the assumption that neither team will secure a draw, which could be misleading if unexpected defensive tactics are employed by either side.
Recommended Picks
Given the low probability of a draw, ‘Draw No Bet’ might not be the most strategic option unless you have specific insights suggesting a tactical shift from either team.
Double Chance
Data Signals
The double chance market offers a safer betting option by covering two potential outcomes. With Gyirmot’s strong home performance and offensive capabilities, ‘Home Team or Draw’ could be a prudent choice.
Risk Factors
The risk lies in underestimating Gyori ETO II’s ability to capitalize on counter-attacks or set-pieces, which could lead to an upset.
Recommended Picks
‘Home Team or Draw’ appears to be the safest bet given Gyirmot’s strong form and home advantage.
Both Teams To Score
Data Signals
The prediction for ‘Both Teams To Score’ stands at 62.80%, indicating a balanced likelihood of both teams finding the back of the net during the match.
Risk Factors
The risk here is primarily based on one team potentially adopting an overly defensive strategy or experiencing an off day in attack.
Recommended Picks
Betting on ‘Both Teams To Score’ is recommended given the offensive nature of both teams and their recent scoring trends.
Total Goals (Over/Under)
Data Signals
The average total goals predicted is 5.53, with strong support for over 1.5 goals (98.80%) and over 2.5 goals (98.40%). This indicates a highly probable high-scoring match.
Risk Factors
The main risk is underestimating defensive improvements or tactical changes that could reduce scoring opportunities.
Recommended Picks
Betting on ‘Over 2.5 Goals’ aligns well with the data and predictions, making it a sound choice for this segment.
Asian Handicap
Data Signals
No specific Asian Handicap data is provided, but Gyirmot’s home advantage and offensive form suggest they might cover a handicap favoring them.
Risk Factors
The risk involves misjudging Gyori ETO II’s defensive resilience or potential tactical adjustments that could neutralize Gyirmot’s attack.
Recommended Picks
A cautious approach would be to consider a small handicap in favor of Gyirmot if available, given their strong form at home.
Player Props
Data Signals
No specific player prop data is available for this match, making it difficult to assess individual player performances.
Risk Factors
The risk lies in relying on individual performances without concrete data or trends to support such bets.
Recommended Picks
Without specific data, it is advisable to avoid player props unless there are standout performers with consistent recent statistics.
Corners
Data Signals
No explicit data on corners is provided, but given the high-scoring nature predicted, corner opportunities are likely to be frequent.
Risk Factors
The risk involves underestimating defensive setups that might limit corner opportunities despite aggressive attacking play.
Recommended Picks
Betting on ‘Over Corners’ could be considered if available, aligning with the expected attacking play from both teams.
Cards
Data Signals
No specific card data is provided, making it challenging to predict bookings or dismissals accurately.
Risk FactorsRisks involve unpredictable referee decisions or unexpected player behavior leading to bookings or red cards.
[0]: import random
[1]: import numpy as np
[2]: import torch
[3]: import torch.nn as nn
[4]: import torch.nn.functional as F
[5]: from torch.distributions import Categorical
[6]: from collections import namedtuple
[7]: Transition = namedtuple(‘Transition’, (‘state’, ‘action’, ‘next_state’, ‘reward’))
[8]: class ReplayMemory(object):
[9]: def __init__(self, capacity):
[10]: self.capacity = capacity
[11]: self.memory = []
[12]: self.position = 0
[13]: def push(self, *args):
[14]: “””Saves a transition.”””
[15]: if len(self.memory) < self.capacity:
[16]: self.memory.append(None)
[17]: self.memory[self.position] = Transition(*args)
[18]: self.position = (self.position + 1) % self.capacity
[19]: def sample(self, batch_size):
[20]: return random.sample(self.memory, batch_size)
[21]: def __len__(self):
[22]: return len(self.memory)
[23]: class DQN(nn.Module):
[24]: def __init__(self):
[25]: super(DQN, self).__init__()
[26]: # conv layer parameters
[27]: # conv layer number: 4
[28]: # conv layer1: input_channels=4; output_channels=32; kernel_size=8; stride=4
[29]: self.conv1 = nn.Conv2d(4,32,kernel_size=8,stride=4)
[30]: # conv layer2: input_channels=32; output_channels=64; kernel_size=4; stride=2
[31]: self.conv2 = nn.Conv2d(32,64,kernel_size=4,stride=2)
[32]: # conv layer 1: input_channels=64; output_channels=64; kernel_size=4; stride=1
[33]: self.conv3 = nn.Conv2d(64,64,kernel_size=4,stride=1)
[34]: # linear layers parameters
# linear layer1: input_features=in_features; output_features=512
self.fc1 = nn.Linear(in_features=self.get_conv_output((84,84)),out_features=512)
# linear layer 11: input_features=512; output_features=num_actions(6)
self.fc11 = nn.Linear(in_features=512,out_features=6)
# linear layer12: input_features=512; output_features=num_actions(6)
self.fc12 = nn.Linear(in_features=512,out_features=6)
def forward(self,x,s):
x = F.relu(self.conv1(x))
x = F.relu(self.conv2(x))
x = F.relu(self.conv3(x))
x = x.view(x.size(0),-1)
x = F.relu(self.fc1(x))
q_value11 = self.fc11(x)
q_value12 = self.fc12(x)
q_value1 = s*q_value11 + (1-s)*q_value12
return q_value1
def get_conv_output(self,size):
o = size
o = ((o – 8)/4)+1
o = ((o – 4)/2)+1
o = ((o – 4)/1)+1
o = o * o * 64
return int(o)
***** Tag Data *****
ID: 0
description: Definition of DQN class including convolutional layers and fully connected
layers for Deep Q-Learning Network.
start line: 23
end line: 60
dependencies:
– type: Class
name: DQN
start line: 23
end line: 60
– type: Method
name: get_conv_output
start line: 59
end line: 61
context description: The DQN class defines a neural network architecture commonly
used in reinforcement learning tasks involving deep Q-learning networks.
algorithmic depth: 4
algorithmic depth external: N
obscurity: 4
advanced coding concepts: 4
interesting for students: 5
self contained: N
*************
## Suggestions for complexity
1. **Incorporate Residual Connections**: Modify the DQN architecture by adding residual connections between certain layers to improve gradient flow and training stability.
2. **Dynamic Kernel Sizes**: Introduce dynamic kernel sizes based on some input parameter or during training time to allow adaptive receptive fields.
3. **Attention Mechanism**: Integrate an attention mechanism into the network after convolutional layers but before fully connected layers to focus on important features dynamically.
4. **Multi-Headed Output**: Instead of having two separate fully connected layers (`fc11` and `fc12`), implement multi-headed outputs where each head processes different aspects of state-action values.
5. **Adaptive Activation Functions**: Replace static activation functions like ReLU with adaptive ones that can change their behavior based on input characteristics.
## Conversation
I’m thinking about incorporating residual connections into my DQN model. How would I go about doing that?
To incorporate residual connections into your DQN model, you’ll need to add skip connections between certain layers. Here’s how you can modify your `forward` method:
python
def forward(self,x,s):
identity = x
x = F.relu(self.conv1(x))
identity_1 = x
x = F.relu(self.conv2(x))
identity_2 = x
x += identity_1 # Residual connection after conv1 and conv2
x = F.relu(self.conv3(x))
identity_3 = x
x += identity_2 # Another residual connection
x += identity_ # Final residual connection
x = x.view(x.size(0),-1)
x = F.relu(self.fc1(x))
q_value11 = self.fc11(x)
q_value12 = self.fc12(x)
q_value1 = s*q_value11 + (1-s)*q_value12
return q_value1
This adds residual connections between `conv1`, `conv2`, and `conv3`.
Can we make kernel sizes dynamic? Like change during training based on some parameter?
Yes, you can make kernel sizes dynamic by modifying them during training based on some condition or parameter. One way to do this is by defining custom convolutional layers where kernel sizes can be updated dynamically.
Here’s an example of how you can define such custom layers:
python
class DynamicConvLayer(nn.Module):
def __init__(self, in_channels, out_channels):
super(DynamicConvLayer, self).__init__()
self.in_channels = in_channels
self.out_channels = out_channels
def forward(self, x, kernel_size):
padding_size = kernel_size // 2
conv_layer = nn.Conv2d(self.in_channels,
self.out_channels,
kernel_size,
padding=padding_size).to(x.device)
return conv_layer(x)
class DQN(nn.Module):
def __init__(self):
super(DQN,self).__init__()
self.dynamic_conv_layers = nn.ModuleList([
DynamicConvLayer(4,32),
DynamicConvLayer(32,64),
DynamicConvLayer(64,64),
nn.Linear(self.get_conv_output((84-8//4-8//4-8//4+6+6+6),84-4//2-4//1+6+6),512),
nn.Linear(512,6),
nn.Linear(512,6)
])
def forward(self,x,s,dynamic_kernel_sizes):
assert len(dynamic_kernel_sizes) == len(self.dynamic_conv_layers) – 2
for i in range(len(dynamic_kernel_sizes)):
x = F.relu(self.dynamic_conv_layers[i](x,dynamic_kernel_sizes[i]))
x += dynamic_kernel_sizes[-1]
x.view(x.size(0),-1)
x=F.relu(self.dynamic_conv_layers[-4](x))
q_value11=self.dynamic_conv_layers[-1](x)
q_value12=self.dynamic_conv_layers[-2](x)
q_value1=s*q_value11+(1-s)*q_value12
return q_value1
# Example usage:
# dqn_model.forward(input_tensor,state_tensor,[8,4,4])
This approach allows you to pass dynamic kernel sizes during each forward pass.
What if I want to add an attention mechanism after convolutional layers but before fully connected layers?
Adding an attention mechanism after your convolutional layers but before your fully connected layers involves defining an attention module and integrating it into your model architecture.
Here’s how you can define an attention mechanism:
python
class Attention(nn.Module):
def __init__(self,in_dim,out_dim):
super(Attention,self).__init__()
self.query_conv = nn.Conv2d(in_dim,out_dim,kernel_size=1)
self.key_conv = nn.Conv2d(in_dim,out_dim,kernel_size=1)
self.value_conv = nn.Conv2d(in_dim,out_dim,kernel_size=1)
def forward(self,x):
query = self.query_conv(x)
key = self.key_conv(x)
value = self.value_conv(x)
energy=F.softmax(torch.bmm(query.view(query.size(0),query.size(1),-1).permute(0 , 2 , 1), key.view(key.size(0),key.size(1),-1)),dim=-1)
out=torch.bmm(value.view(value.size(0),value.size(1),-1),energy.permute(0 , 2 , 1))
out=out.view(out.shape[:]+x.shape[-len(out.shape):-len(out.shape)+len(out.shape)-len(out.shape)] )
return out + x
class DQN(nn.Module):
def __init__(self):
super(DQN,self).__init__()
# conv layer parameters…
self.conv_layers=[nn.Conv…]
…
# Add Attention Layer here.
self.attention_layer=Attention(in_dim=64,out_dim=64)
…
def forward(self,x,s):
…
for conv_layer in self.conv_layers:
x=F.relu(conv_layer(x))
# Apply attention mechanism here.
x=self.attention_layer(x)
…
This integrates an attention mechanism after your convolutional layers but before fully connected layers.
Can we implement multi-headed outputs instead of two separate fully connected layers? Each head processes different aspects.
Sure! Multi-headed outputs can process different aspects of state-action values separately within the same network architecture.
Here’s how you can modify your code:
python
class DQN(nn.Module):
def __init__(self,num_heads=num_heads):
super(DQN,self).__init__()
…
# Define multiple heads for outputs.
num_heads=num_heads if num_heads else [6]
assert isinstance(num_heads,list),”num_heads should be list”
num_heads